Curriculum is what a child is taught in school—what they learn, how they learn it, and the materials teachers use to help them succeed.
The curriculum shows grade-level Mathematics units and pacing by quarter, aligned with Virginia’s Standards of Learning.
How can we use mathematics to organize and make sense of our world? Students in Kindergarten begin to develop number sense through counting, recognizing, representing, and comparing quantities. Students are given time to develop number sense with smaller numbers, gradually working with larger quantities until they ultimately rote count to 100, compare quantities to 30, and compose and decompose numbers to 10.
Savvas enVision Kindergarten Math Family Resources
During this unit, teachers will facilitate the formation of a mathematics community and have students develop a positive mathematics identity. The focus is not to teach standards explicitly but to spend time building routines and exploring manipulatives. Each lesson will progress through three activities to build mathematical communities and have the opportunity to teach routines and procedures.
Standards Covered: K.PS.1, K.MG.3
Savvas enVision Topic Alignment: This unit does not have Savvas enVision alignment
In Unit 1, Kindergarten students lay the groundwork for strong number sense by actively representing, counting, and comparing numbers from 0 to 5. Through hands-on exploration and practice, students begin to recognize patterns and apply counting strategies that build a deep understanding of quantity within this range. This foundational unit will support students in noticing and applying patterns as the number range expands throughout the year.
Standards Covered: K.NS.1, K.NS.2
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 1 and 2.
The focus of this unit is to provide students with the opportunity to build early numeracy by counting and comparing numbers 0-10. Students will build an understanding of quantities and number relationships as they count, represent, and compare numbers.
Standards Covered: K.NS.1, K.NS.2
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 3 and 4.
The focus of this unit is to provide students with the opportunity to build early numeracy by counting and comparing numbers 0-10. Students will build an understanding of quantities and number relationships as they count, represent, and compare numbers.
Standards Covered: K.NS.1, K.NS.2
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 3 and 4.
In Unit 0, students began learning about the data cycle by answering questions, collecting information, showing their findings, and talking about what the data means. In Unit 3, students will build on these skills by using object graphs and picture graphs to organize and share what they learn. They will also practice sorting and classifying items, including identifying and naming coins. These activities help students make sense of information, laying the groundwork for future math learning. As they explore, students will develop problem solving skills and learn how to communicate their ideas.
Standards Covered: K.PS.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 5.
In this unit, students will explore basic plane figures through observation, discussion, and hands-on activities. Students will identify and name circles, triangles, squares, and rectangles regardless of orientation. Students will describe these shapes using appropriate vocabulary (e.g., sides, vertices, curved, round), and distinguish between examples and nonexamples. Through comparison activities, students will analyze similarities and differences among the plane figures.
Standards Covered: K.MG.2
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 12 and 13.
In this unit, students will explore basic plane figures through observation, discussion, and hands-on activities. Students will identify and name circles, triangles, squares, and rectangles regardless of orientation. Students will describe these shapes using appropriate vocabulary (e.g., sides, vertices, curved, round), and distinguish between examples and nonexamples. Through comparison activities, students will analyze similarities and differences among the plane figures.
Standards Covered: K.MG.2
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 12 and 13.
In this unit, students will investigate simple repeating patterns through observation, discussion, and hands-on activities. They will identify patterns in everyday objects, colors, sounds, movements, and pictures, and describe them using appropriate vocabulary. Students will extend existing patterns and create their own using a variety of representations. Students will begin to develop an understanding of how patterns help organize and predict the world around them.
Standards Covered: K.PFA.1
Savvas enVision Topic Alignment: This unit does not have Savvas enVision alignment.
The focus of this unit is to provide students with the opportunity to build early numeracy by composing and decomposing numbers up to 10. Students will develop an understanding of part-part-whole relationships and fluency with number combinations as they model, represent, and solve problems using concrete objects, drawings, and numbers.
Standards Covered: K.CE.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 6, 7, and 8.
The focus of this unit is to provide students with the opportunity to build early numeracy by composing and decomposing numbers up to 10. Students will develop an understanding of part-part-whole relationships and fluency with number combinations as they model, represent, and solve problems using concrete objects, drawings, and numbers.
Standards Covered: K.CE.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 6, 7, and 8.
In this unit, students will explore numbers and quantities through observation, discussion, and hands-on activities. They will practice flexible counting strategies to determine and describe quantities up to 100, using objects, pictures, and real-world contexts. Students will identify, represent, and compare quantities up to 30, building a strong foundation for number sense. Through interactive experiences, they will develop an understanding of how numbers help us describe, organize, and make sense of the world around us.
Standards Covered: K.NS.1, K.NS.2
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 9, 10 and 11.
In this unit, students will explore ways to compare objects and events using measurable attributes. Through observation, discussion, and hands-on activities, they will make direct comparisons of length, height, weight, volume, and time. Students will use appropriate vocabulary to describe these comparisons and reason about which objects are longer, taller, heavier, hold more, or take more time. These experiences will help students develop an understanding of how measurement attributes can be used to describe and organize the world around them.
Standards Covered: K.MG.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 14.
How can we use mathematics to organize and make sense of our world? Students in first grade develop their number sense in relation to the counting sequence and base 10 number system (moving from counting to grouping) and internalizing number combinations to develop basic fact fluency and reasoning skills. Using contextual situations that come from their world, students become fluent with
numbers to 20 and develop number sense for numbers up to 120.
Savvas enVision First Grade Math Family Resources
During this unit, teachers will facilitate the formation of a mathematics community and have students develop a positive mathematics identity. The focus is not to teach standards explicitly but to spend time building routines and exploring manipulatives. Each lesson will progress through three activities to build mathematical communities and have the opportunity to teach routines and procedures.
Standards Covered: 1.PS.1
Savvas enVision Topic Alignment: This unit does not have Savvas enVision alignment.
In Unit 1, students in First Grade extend their Kindergarten knowledge of the part-part-whole relationships up to five to the part-part-whole relationships up to ten by investigating various fluency strategies. Students will apply strategies to represent, solve, and justify contextual addition and subtraction problems within ten. Students will engage in meaningful experiences, which will allow them to think flexibly and develop skills for automaticity. Throughout the school year, with continued strategy investigations and applications, students will develop automaticity of addition and subtraction facts within ten.
Standards Covered: 1.CE.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 1 and 2.
The focus of this unit is for students to apply fluency strategies within 10 from Unit 1 to represent, solve, and justify contextual addition and subtraction problems within twenty. Students will extend part-part-whole relationships up to twenty by investigating various fluency strategies and will engage in meaningful experiences to apply the strategies flexibly. Throughout the school year, with continued strategy investigations and applications, students will develop automaticity of addition and subtraction facts within ten.
Standards Covered: 1.CE.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 3, 4, and 5.
The focus of this unit is for students to apply fluency strategies within 10 from Unit 1 to represent, solve, and justify contextual addition and subtraction problems within twenty. Students will extend part-part-whole relationships up to twenty by investigating various fluency strategies and will engage in meaningful experiences to apply the strategies flexibly. Throughout the school year, with continued strategy investigations and applications, students will develop automaticity of addition and subtraction facts within ten.
Standards Covered: 1.CE.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 3, 4, and 5.
In this unit, students will embark on an engaging exploration of data through the use of object graphs and tables. The focus will be on understanding the data cycle—posing questions, collecting data, organizing and representing data, and analyzing and communicating results. Students will develop foundational skills in sorting and classifying objects, as well as in creating and interpreting data representations.
Standards Covered: 1.PS.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 6.
The focus of this unit is to develop students’ foundational number sense and pattern recognition skills. Students will explore numbers up to 120, learning to read, write, represent, and compare them using a variety of tools and strategies. They will also engage in creating and analyzing patterns in numbers, objects, and visuals. These skills are essential for building fluency in computation and algebraic thinking in later grades.
Standards Covered: 1.NS.1, 1.NS.2, 1.PFA.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 7, 8, and 9.
The focus of this unit is to develop students’ foundational number sense and pattern recognition skills. Students will explore numbers up to 120, learning to read, write, represent, and compare them using a variety of tools and strategies. They will also engage in creating and analyzing patterns in numbers, objects, and visuals. These skills are essential for building fluency in computation and algebraic thinking in later grades.
Standards Covered: 1.NS.1, 1.NS.2, 1.PFA.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 7, 8, and 9.
In this unit, students explore measurement using nonstandard units to compare length, weight, and volume. They will investigate how using different units changes the measurement and explain why these differences occur. By connecting to counting collections, students build on their understanding of quantity and iteration—just as they count objects one by one, they will measure by repeatedly using a unit, reinforcing the concept of equivalence and comparison.
Standards Covered: 1.MG.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 12.
In this unit, students explore foundational concepts of money and time. They will identify pennies, nickels, and dimes, compare their values, and count collections of like coins up to 100 cents using skip-counting strategies. Students will also learn to tell time to the hour and half-hour on analog and digital clocks, understand the roles of hour and minute hands, and use calendars to identify dates, sequence days, and apply ordinal numbers.
Standards Covered: 1.NS.1fg, 1.MG.3
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 13.
In this unit, students explore foundational concepts of money and time. They will identify pennies, nickels, and dimes, compare their values, and count collections of like coins up to 100 cents using skip-counting strategies. Students will also learn to tell time to the hour and half-hour on analog and digital clocks, understand the roles of hour and minute hands, and use calendars to identify dates, sequence days, and apply ordinal numbers.
Standards Covered: 1.NS.1fg, 1.MG.3
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 13.
In this unit, students will explore geometric concepts. They will describe, sort, draw, and name plane figures—circles, triangles, squares, and rectangles—and compose larger shapes by combining simple figures. Students will also sort and classify objects into categories based on one or two attributes, such as size, shape, or color, and describe and label those attributes.
Standards Covered: 1.MG.2, 1.PS.1ab
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 14.
In this unit, students will explore fractions by partitioning shapes into two and four equal parts and using reasoning to justify their solutions. They will also strengthen their number sense by using flexible counting strategies to determine and describe quantities up to 120, and represent, compare, and order these quantities. Additionally, students will review addition and subtraction strategies within 20.
Standards Covered: 1.NS.1, 1.NS.2, 1.NS.3, 1.CE.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 15.
The big ideas that are most important for second grade students are developing place value concepts in the base ten number system and internalizing number combinations through 20 to develop fluency with basic fact strategies.
Savvas enVision Second Grade Math Family Resources
During this unit, teachers will facilitate the formation of a mathematics community and have students develop a positive mathematics identity. The focus is not to teach standards explicitly but to spend time building routines and exploring manipulatives. Each lesson will progress through three activities to build mathematical communities and have the opportunity to teach routines and procedures.
Standards Covered: 2.PS.1
Savvas enVision Topic Alignment: This unit does not have Savvas enVision alignment.
Students will develop mental math strategies to add and subtract within 20 and explore even and odd numbers. Through ongoing practice and strategy application, they will build fluency and automaticity with basic facts.
Standards Covered: 2.CE.1, 2.NS.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 1.
Students will solve single-step and multistep addition problems involving whole numbers using a variety of models and strategies. They will estimate, represent, and justify their solutions through tools such as hundred charts, number lines, base-ten blocks, and mental math.
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 3.
Standards Covered: 2.CE.1
Students will solve both single-step and multistep subtraction problems with whole numbers using a variety of models and strategies. They will estimate, represent, and justify their solutions through tools such as hundred charts, number lines, base-ten blocks, and mental math. Students will also model and solve one- and two-step word problems involving addition and subtraction. They will determine unknown quantities in equations and evaluate whether equations are equal or not, using reasoning and appropriate representations.
Standards Covered: 2.CE.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 5.
Students will solve both single-step and multistep subtraction problems with whole numbers using a variety of models and strategies. They will estimate, represent, and justify their solutions through tools such as hundred charts, number lines, base-ten blocks, and mental math. Students will also model and solve one- and two-step word problems involving addition and subtraction. They will determine unknown quantities in equations and evaluate whether equations are equal or not, using reasoning and appropriate representations.
Standards Covered: 2.CE.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 5.
Students will solve problems involving counting and representing money amounts up to $2.00, using various coin combinations and applying strategies to determine total values. Students will also deepen their understanding of time by reading and writing time to the nearest five minutes using both analog and digital clocks. These topics are taught together because they both involve skip counting, pattern recognition, and real-world problem solving. Integrating money and time helps students make meaningful connections across concepts and apply mathematical thinking to everyday situations.
Standards Covered: 2.NS.4, 2.MG.2
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 8.
Students will develop a deep understanding of number sense by exploring skip counting patterns by 2s, 5s, 10s, 25s, and 100s, both forward and backward, to build fluency and recognize numerical patterns. They will read, write, represent, and compare three-digit numbers in standard, expanded, and word form, while applying place value concepts and exploring the relationships among ones, tens, and hundreds. Students will also compose and decompose numbers in multiple ways, estimate quantities and solutions, and plot and compare numbers on a number line. Through real-world problem-solving, they will apply strategies to estimate, add, and subtract within 100, justifying their thinking and communicating their mathematical reasoning effectively.
Standards Covered: 2.NS.1, 2.NS.2, 2.CE.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 9.
Students will develop a deep understanding of number sense by exploring skip counting patterns by 2s, 5s, 10s, 25s, and 100s, both forward and backward, to build fluency and recognize numerical patterns. They will read, write, represent, and compare three-digit numbers in standard, expanded, and word form, while applying place value concepts and exploring the relationships among ones, tens, and hundreds. Students will also compose and decompose numbers in multiple ways, estimate quantities and solutions, and plot and compare numbers on a number line. Through real-world problem-solving, they will apply strategies to estimate, add, and subtract within 100, justifying their thinking and communicating their mathematical reasoning effectively.
Standards Covered: 2.NS.1, 2.NS.2, 2.CE.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 9.
Students will develop foundational skills in measurement and pattern recognition. They will learn to reason mathematically using standard U.S. Customary units and appropriate tools to estimate, measure, and compare objects by length, weight, and liquid volume to the nearest whole unit. Additionally, students will explore repeating and increasing patterns, describing, extending, creating, and transferring patterns using various representations such as objects, pictures, and numbers.
Standards Covered: 2.MG.1, 2.PFA.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 12.
Students will develop a strong understanding of geometry and fractions by first exploring plane and solid figures. They will identify, describe, and create shapes such as circles, triangles, squares, and rectangles, recognizing lines of symmetry and explaining how symmetry relates to congruency. Students will also compare and contrast plane figures and solid figures, including circles and spheres, squares and cubes, and rectangles and rectangular prisms, using attributes such as sides, vertices, faces, and curves. Building on this foundation, students will learn to partition shapes into equal parts—halves, thirds, fourths, sixths, and eighths—and justify their reasoning in real-world contexts. Through hands-on activities and problem-solving tasks, students will connect these concepts to everyday objects, communicate their mathematical thinking clearly, and build a foundation for spatial reasoning and proportional understanding.
Standards Covered: 2.NS.3, 2.MG.3, 2.MG.4
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 13.
Students will develop a deep understanding of data analysis by applying the data cycle to real-world contexts. They will pose meaningful questions, collect or acquire relevant data, and organize information using pictographs and bar graphs. Students will learn to represent data accurately, analyze patterns and trends, and draw conclusions based on evidence. Throughout the unit, they will communicate their findings clearly, using mathematical reasoning to justify interpretations. By engaging in hands-on activities and problem-solving tasks, students will strengthen their ability to connect data representation to everyday situations and make informed decisions.
Standards Covered: 2.PS.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 15.
How can students use mathematics to organize and make sense of their world? Students deepen their understanding of number and quantity as they transition from additive to multiplicative thinking. Meaningful exploration and representations are provided to help students see the relationship between addition and multiplication and work with the inverse relationship between multiplication and division.
Savvas enVision Third Grade Math Family Resources
During this unit, teachers will facilitate the formation of a mathematics community and have students develop a positive mathematics identity. The focus is not to teach standards explicitly but to spend time building routines and exploring manipulatives. Each lesson will progress through three activities to build mathematical communities and have the opportunity to teach routines and procedures.
Standards Covered: SOL 3.PS.1
Savvas enVision Topic Alignment: This unit does not have Savvas enVision alignment.
Students are introduced to multiplication and division through a variety of strategies. Students will apply reasoning strategies such as doubling, properties, and inverse relationships to solve contextual problems. In addition to developing conceptual understanding, students will engage in targeted practice to build fluency and demonstrate automaticity with basic multiplication and division facts.
Standards Covered: 3.CE.2
Assessment Window: September 29 - October 3, 2025
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 1.
Students will deepen their understanding of multiplication and division by exploring their inverse relationship through contextual problem-solving. They will apply strategies such as doubling, using properties, and creating equivalent expressions to solve real-world scenarios. Integrated into the unit, students will solve problems in context to determine the value of coins, construct combinations of coins, and compare different sets of coins up to $5.00.
Standards Covered: 3.NS.4, 3.CE.2
Assessment Window: October 27-31, 2025
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 4.
Students will practice applying the data cycle through pictographs and bar graphs. They will formulate meaningful questions that require data, identify appropriate methods for gathering information, organize, and represent their findings using pictographs and bar graphs. Students will analyze their graphs to draw conclusions and effectively communicate their results both orally and in writing.
Standards Covered: 3.PS.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 7.
Students will practice applying the data cycle through pictographs and bar graphs. They will formulate meaningful questions that require data, identify appropriate methods for gathering information, organize, and represent their findings using pictographs and bar graphs. Students will analyze their graphs to draw conclusions and effectively communicate their results both orally and in writing.
Standards Covered: 3.PS.1
Assessment Window: November 16-21, 2025
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 7.
Students will deepen their understanding of number sense by reading, writing, composing, and decomposing numbers up to six digits, with a focus on place value and multiple representations. They will compare and order whole numbers, apply estimation strategies, and solve contextual problems involving addition, subtraction, and making change from $5.00 or less. Students will develop number sense and problem-solving skills by estimating and calculating sums and differences of whole numbers in real-world contexts. Emphasis will be placed on justifying solutions, choosing appropriate strategies, and communicating mathematical thinking clearly. In addition, students will also explore object, picture, and numerical patterns by identifying, extending, and analyzing relationships between different representations.
Standards Covered: 3.NS.1, 3.NS.2, 3.NS.4d, 3.CE.1, 3.PFA.1
Assessment Window: January 12-16, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 8.
This unit focuses on building a deep conceptual understanding of fractions and mixed numbers using visual models. Students will explore fractions with denominators of 2, 3, 4, 5, 6, 8, and 10 through region/area, length, and set models to represent, name, and write both proper, improper fractions, and mixed numbers. They will learn to decompose fractions into unit fractions, compose them in multiple ways, and convert between improper fractions and mixed numbers. The unit also emphasizes comparing fractions to benchmarks (0, 1/2, and 1) and to each other using like numerators or denominators, with and without models. Students will recognize and illustrate equivalent fractions through the use of visuals and hands-on representations.
Standards Covered: 3.NS.3
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 12.
This unit focuses on building a deep conceptual understanding of fractions and mixed numbers using visual models. Students will explore fractions with denominators of 2, 3, 4, 5, 6, 8, and 10 through region/area, length, and set models to represent, name, and write both proper, improper fractions, and mixed numbers. They will learn to decompose fractions into unit fractions, compose them in multiple ways, and convert between improper fractions and mixed numbers. The unit also emphasizes comparing fractions to benchmarks (0, 1/2, and 1) and to each other using like numerators or denominators, with and without models. Students will recognize and illustrate equivalent fractions through the use of visuals and hands-on representations.
Standards Covered: 3.NS.3
Assessment Window: March 2-6, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 12.
In this unit, students will develop an understanding of measurement and time through real-world applications. They will learn to justify when an estimate or an exact measurement is appropriate and accurately measure length, weight/mass, and liquid volume using both U.S. Customary and Metric units. Students will practice comparing estimates to actual measurements and explore how different units are used in everyday contexts. Additionally, they will learn to tell and write time to the nearest minute on analog and digital clocks and solve elapsed time problems in one-hour increments within a 12-hour period.
Standards Covered: 3.MG.1, 3.MG.3
Assessment Window: March 23-27, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 14.
This unit focuses on developing students’ understanding of area, perimeter, and polygons. Students will learn to estimate and calculate area using square units, describe and justify measurements, and explore perimeter by measuring and reasoning about distances around polygons. They will classify and compare polygons, identify common types in various orientations, and connect these shapes to everyday objects. Through hands-on activities, students will combine and subdivide polygons to deepen their understanding of geometric properties and relationships.
Standards Covered: 3.MG.2, 3.MG.4
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 6.
This unit focuses on developing students’ understanding of area, perimeter, and polygons. Students will learn to estimate and calculate area using square units, describe and justify measurements, and explore perimeter by measuring and reasoning about distances around polygons. They will classify and compare polygons, identify common types in various orientations, and connect these shapes to everyday objects. Through hands-on activities, students will combine and subdivide polygons to deepen their understanding of geometric properties and relationships.
Standards Covered: 3.MG.2, 3.MG.4
Assessment Window: April 20-24, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 6.
How can we use mathematics to organize and make sense of our world? Students in fourth grade begin to leverage their understanding of number relationships by organizing and reasoning mathematically through a variety of contextual problems using multiple representations to justify their thinking. Students are given the time to explore and develop connections between fractions and decimals.
Savvas enVision Fourth Grade Math Family Resources
During this unit, teachers will facilitate the formation of a mathematics community and have students develop a positive mathematics identity. The focus is not to teach standards explicitly but to spend time building routines and exploring manipulatives. Each lesson will progress through three activities to build mathematical communities and have the opportunity to teach routines and procedures.
Standards Covered: 4.PS.1
Savvas enVision Topic Alignment: This unit does not have Savvas enVision alignment.
In this unit, students are learning how numbers work by breaking them apart and putting them back together using our base-10 number system (the one we use every day, based on tens and ones). This helps them understand how to compare numbers—like figuring out which is bigger or smaller—and how to put numbers in order. They will also use this number sense to solve real-world addition and subtraction problems. That means they will learn how to choose smart strategies to solve both simple and more complex problems, whether it’s one step or several steps.
Standards Covered: 4.NS.1, 4.NS.2, 4.CE.1
Assessment Window: September 15-19, 2025
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 1 and 2.
Students move from additive to multiplicative reasoning. This unit provides students the opportunity to develop and apply multiplicative reasoning through problem-solving. Problem-solving incorporates addition, subtraction, and division. It is through this application and strategic repetition of multiplication and division facts that students develop fluency with multiplication and division through 12 x 12.
Standards Covered: 4.CE.2
Assessment Window: October 27-31, 2025
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 3, 4, 5, and 6.
This unit develops students’ understanding of fractions with denominators up to 12 using various models. Students will compose and decompose fractions to represent, compare, and order proper, improper, and mixed numbers. Work with equivalent fractions reinforces multiplication facts from third grade and previews those for this year. Probability offers a real-world application of fractional reasoning. Students will also add and subtract fractions with like denominators (2, 3, 4, 5, 6, 8, 10, 12) and solve contextual problems involving multiplication of a whole number (12 or less) by a unit fraction.
Standards Covered: 4.NS.3, 4.CE.2, 4.CE.3, 4.PS.2
Assessment Window: January 5-9, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 7, 8, 9, and 10.
The data cycle has been a focus of classroom routines throughout the year as students have asked questions, explored, and generated data, represented their findings, and interpreted results. This unit provides for a culminating activity where students engage in all steps of the data cycle. As line graphs are the focus for fourth grade, elapsed time comes in as a natural connection.
Standards Covered: 4.MG.2, 4.PS.1
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 11.
The data cycle has been a focus of classroom routines throughout the year as students have asked questions, explored, and generated data, represented their findings, and interpreted results. This unit provides for a culminating activity where students engage in all steps of the data cycle. As line graphs are the focus for fourth grade, elapsed time comes in as a natural connection.
Standards Covered: 4.MG.2, 4.PS.1
Assessment window: January 27-30, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 11.
Students use reasoning and their understanding of the base ten system to represent, compare, and order decimals through thousandths with and without models. Students are expected to use concrete and visual models to support their understanding of the processes, to justify, and to determine fraction and decimal equivalents. The development of decimal number sense is applied to computation when estimating and computing sums and differences of decimals through thousandths to solve single and multi-step problems in context.
Standards Covered: 4.NS.4, 4.NS.5, 4.CE.4
Assessment Window: February 23-27, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 12.
Students will get hands-on experience with real-world measurement activities. They will practice estimating and measuring things like length, weight, mass, and liquid volume, which will also give them more practice with their math skills, especially computation and estimation. This unit provides students the opportunity to develop and apply reasoning through problem solving, patterns, and measurement. These real-world connections make the learning more meaningful and help students see how math applies outside the classroom.
Standards Covered: 4.MG.1, 4.MG.3, 4.PFA.1
Assessment Window: March 16-19, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 13 and 14.
Students will dive deeper into learning about quadrilaterals and other 2D and 3D shapes by exploring, classifying, and comparing their properties. As they discover the unique characteristics of different quadrilaterals, they will also learn how to develop and use formulas for finding the area and perimeter of squares and rectangles—building on the work they started during earlier computation lessons.
Standards Covered: 4.MG.4, 4.MG.5, 4.MG.6
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 15 and 16.
Students will dive deeper into learning about quadrilaterals and other 2D and 3D shapes by exploring, classifying, and comparing their properties. As they discover the unique characteristics of different quadrilaterals, they will also learn how to develop and use formulas for finding the area and perimeter of squares and rectangles—building on the work they started during earlier computation lessons.
Standards Covered: 4.MG.4, 4.MG.5, 4.MG.6
Assessment Window: April 27-May 1, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 15 and 16.
How can we use mathematics to organize and make sense of our world? Fifth grade students will be able to leverage their understanding of number relationships by organizing and reasoning mathematically through a variety of contextual problems using multiple representations to justify their thinking.
Savvas enVision Fifth Grade Math Family Resources
During this unit, teachers will facilitate the formation of a mathematics community and have students develop a positive mathematics identity. The focus is not to teach standards explicitly but to spend time building routines and exploring manipulatives. Each lesson will progress through three activities to build mathematical communities and have the opportunity to teach routines and procedures.
Standards Covered: 5.PS.1
Savvas enVision Topic Alignment: This unit does not have Savvas enVision alignment.
In this unit, students will explore how to represent and solve real-world problems using addition, subtraction, and multiplication. Students will use their understanding of whole number computation and decimal number sense to determine appropriate strategies to solve decimal addition, subtraction, and multiplication problems while justifying their estimates and solutions to problems. Students will discover decimal computation is used every day and will be provided opportunities to determine when it is appropriate to use mental math, paper, pencil, or a calculator and use methods that make sense to themselves and others.
Standards Covered: 5.CE.1, 5.CE.3
Assessment Window: September 22-26, 2025
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 2, 3, and 4.
In this unit, students will start to consider the structure or characteristics of numbers by considering whether a number is prime or composite and identifying the prime factorization of a number. Additionally, students will explore how to represent and solve real-world problems using division. Students will use their understanding of whole number computation and decimal number sense to determine appropriate strategies to solve decimal division problems while justifying their estimates and solutions to problems. Students will discover decimal computation is used every day and will be provided opportunities to determine when it is appropriate to use mental math, paper, pencil, or a calculator and use methods that make sense to themselves and others.
Standards Covered: 5.NS.2, 5.CE.1, 5.CE.3
Assessment Window: October 14-17, 2025
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 5 and 6.
In this unit, students will deepen their understanding of fractions and decimals by exploring their multiple meanings and representations. Using various visual models, students will develop flexible thinking as they: investigate equivalency between fractions and decimals using efficient strategies and representations; compare and order fractions and decimals with reasoning supported by models, written explanations, and oral justification; engage in mathematical discourse to explain their thinking, defend their solutions, and reflect on different approaches. The emphasis on conceptual understanding encourages students to make connections between visual models, symbolic representations, and place value. Students will be given opportunities to collaborate, explore, and apply their learning in meaningful ways.
Standards Covered: 5.NS.1
Savvas enVision Topic Alignment: This unit does not have Savvas enVision alignment.
In this unit, students will deepen their understanding of fractions and decimals by exploring their multiple meanings and representations. Using various visual models, students will develop flexible thinking as they: investigate equivalency between fractions and decimals using efficient strategies and representations; compare and order fractions and decimals with reasoning supported by models, written explanations, and oral justification; engage in mathematical discourse to explain their thinking, defend their solutions, and reflect on different approaches. The emphasis on conceptual understanding encourages students to make connections between visual models, symbolic representations, and place value. Students will be given opportunities to collaborate, explore, and apply their learning in meaningful ways.
Standards Covered: 5.NS.1
Assessment Window: November 24-25, 2025
Savvas enVision Topic Alignment: This unit does not have Savvas enVision alignment.
In this unit, students will use what they learned in unit 3 related to fraction number sense to estimate and determine the sum or difference of fractions. While students are adding and subtracting two fractions with like and unlike denominators, they can revisit their work with prime factorization from unit 2 as one strategy that could be used for simplifying.
Standards Covered: 5.CE.2
Assessment Window: January 20-22, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 7 and 8.
This unit concludes students’ experience with the data cycle and formalizes two new graphs. The unit connects data analysis, measures of center, and probability as tools for interpreting and predicting information. Students learn that organizing data into visual representations helps identify patterns, which can then be summarized using mean, median, mode, and range. These summaries help inform predictions and decisions. Probability can help us understand possible outcomes and their likelihood. Data tells a story, measures of center are a way to summarize that story, and probability helps us anticipate what might happen next.
Standards Covered: 5.PS.1, 5.PS.2, 5.PS.3
Assessment Window: February 9-13, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 10.
This unit emphasizes the concept that measurement is a way to describe and compare attributes of objects and spaces. Students will explore how choosing appropriate units and tools impacts accuracy and efficiency when measuring length, mass, and liquid volume in the metric system. They will develop understanding of how area and volume represent two- and three-dimensional space and develop formulas and models to calculate these measures. Through problem-solving and reasoning, students will recognize that measurement connects to real-world contexts and supports precise communication of size, capacity, and space.
Standards Covered: 5.MG.1, 5.MG.2
Assessment Window: March 9-13, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 11 and 12.
In this unit, students will explore patterns and relationships to build a foundation for algebraic thinking. They will analyze and extend numerical and geometric patterns, represent relationships using tables, graphs, and equations, and connect these representations to real-world contexts. Students will deepen their understanding of how variables, operations, and equality work together to model situations, preparing them for more formal algebra. Patterns and functions describe predictable relationships, and multiple representations help us make sense of and communicate those relationships.
Standards Covered: 5.CE.4, 5.PFA.1, 5.PFA.2
Assessment Window: March 23-27, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topics 13 and 15.
In this unit, students will explore the properties of angles and triangles through classification, measurement, and problem-solving in real-world contexts. They will learn to identify and justify angle and triangle types, use appropriate tools to measure and draw angles, and apply geometric markings to denote properties. Students will also investigate the relationship between the interior angles of a triangle, proving that their sum is 180 degrees, and use this understanding to determine unknown measures. By the end of the unit, students will confidently compare, contrast, and analyze triangles while solving contextual problems involving angle measures.
Standards Covered: 5.MG.3
Assessment Window: April 20-24, 2026
Savvas enVision Topic Alignment: This unit aligns with Savvas enVision Topic 16
Students in Math 6 will develop an understanding of integers and their operations, deepen their knowledge of positive rational numbers (including fractions, decimals, percents, and exponents), learn about the coordinate plane and congruence, develop and apply formulas for area, circumference, and perimeter, explore the data cycle with circle graphs, and build a foundation for algebraic thinking with one-step equations, inequalities, and proportional relationships. At the end of the year, students will take the Grade 6 Mathematics Standards of Learning (SOL) test.
Savvas enVision Sixth Grade Math Family Resources
In Savvas enVision Topic 1, students will estimate, demonstrate, solve, and justify solutions to problems using operations with fractions and mixed numbers, including those in context. Students explore visual models, including area models and number lines, for multiplication and division of fractions. They progress from the models to develop algorithms and examine the relationship between multiplication and division of fractions and mixed numbers. Students then apply their understanding to solve multistep problems, including those in context.
Standards Covered: 6.CE.1
Assessment Window: September 15-September 19, 2025
In Savvas enVision Topic 2, students use ratios to represent relationships between quantities. They learn to identify and represent proportional relationships between two quantities in a variety of ways, including tables, contexts, and graphs. Students develop an understanding of unit rate and how it can be used to solve problems. The work throughout this topic is grounded in contextual situations.
Standards Covered: 6.PFA.1, 6.PFA.2
Assessment Window: October 20-October 24, 2025
In Savvas enVision Topic 3, students will reason and use multiple strategies to express equivalency, compare, and order numbers written as fractions, mixed number, decimals, and percents. They will learn to represent and recognize patterns with whole number exponents, including powers of ten and perfect squares.
Standards Covered: 6.NS.1, 6.NS.3
In Savvas enVision Topic 3, students will reason and use multiple strategies to express equivalency, compare, and order numbers written as fractions, mixed number, decimals, and percents. They will learn to represent and recognize patterns with whole number exponents, including powers of ten and perfect squares.
Standards Covered: 6.NS.1, 6.NS.3
Assessment Window: November 17-November 21, 2025
In Savvas enVision Topic 4, students develop an understanding of integers and their representations, including how they are used in real-world situations. They compare and order integers and explore absolute value and the relationship between integers and their opposites. Students then learn how to add, subtract, multiply, and divide integers by exploring models to develop an understanding of the operations. Throughout their work with integer operations, students estimate, determine, and justify solutions to contextual problems.
Standards Covered: 6.NS.2, 6.CE.2
Assessment Window: January 12-January 16, 2026
In Savvas enVision Topic 5, students develop an understanding of algebraic vocabulary then apply this vocabulary as they represent, solve, and confirm solutions to one-step linear equations in one variable. Then students explore linear inequalities. The work throughout this topic is grounded in contextual situations.
Standards Covered: 6.PFA.3, 6.PFA.4
In Savvas enVision Topic 5, students develop an understanding of algebraic vocabulary then apply this vocabulary as they represent, solve, and confirm solutions to one-step linear equations in one variable. Then students explore linear inequalities. The work throughout this topic is grounded in contextual situations.
Standards Covered: 6.PFA.3, 6.PFA.4
Assessment Window: February 9-February 13, 2026
In Savvas enVision Topic 6, students develop formulas to determine the area of triangles and parallelograms, then apply these formulas to solve problems. They learn to describe the coordinate plane and graph ordered pairs. Then students explore congruence of segments, angles, and polygons. Finally, students work with circles, including exploring the relationships between various parts of a circle, developing an approximation for pi, and working with the formulas for circumference and area.
Standards Covered: 6.MG.1, 6.MG.2, 6.MG.3, 6.MG.4
Assessment Window: March 16-March 19, 2026
In Savvas enVision Topic 7, students work with data. They apply the data cycle with a focus on circle graphs. Then students work with measures of center as they represent the mean as a balance point, determine the effect of changing a single data point, and explore the impact of outliers.
Standards Covered: 6.PS.1, 6.PS.2
In Savvas enVision Topic 7, students work with data. They apply the data cycle with a focus on circle graphs. Then students work with measures of center as they represent the mean as a balance point, determine the effect of changing a single data point, and explore the impact of outliers.
Standards Covered: 6.PS.1, 6.PS.2
Assessment Window: April 20-April 24, 2026
Students in Math 6 Extended learn all the Grade 6 Mathematics content and approximately half of the Grade 7 Mathematics content. Through the instruction of Grade 6 Mathematics content, students will develop an understanding of integers and their operations, deepen their knowledge of positive rational numbers (including fractions, decimals, percents, and exponents), learn about the coordinate plane and congruence, develop and apply formulas for area, circumference, and perimeter, explore the data cycle with circle graphs, and build a foundation for algebraic thinking with one-step equations, inequalities, and proportional relationships. The Grade 7 Mathematics Standards are taught in connection with the Grade 6 Mathematics Standards. Students explore the relationships between quadrilaterals, extend their understanding of rational numbers to include negative numbers and scientific notation, develop proportional reasoning and apply this concept to similarity and dilations, and solve two-step equations. At the end of the year, students will take the Grade 6 Mathematics Standards of Learning (SOL) test.
Savvas enVision Sixth Grade Math Family Resources
Savvas enVision Seventh Grade Math Family Resources
In Savvas enVision Topic 1, students will estimate, demonstrate, solve, and justify solutions to problems using operations with fractions and mixed numbers, including those in context. Students explore visual models, including area models and number lines, for multiplication and division of fractions. They progress from the models to develop algorithms and examine the relationship between multiplication and division of fractions and mixed numbers. Students then apply their understanding to solve multistep problems, including those in context.
Standards Covered: 6.CE.1
Assessment Window: September 8-12, 2025
In Savvas enVision Topic 2, students use ratios to represent relationships between quantities. They learn to identify and represent proportional relationships between two quantities in a variety of ways, including tables, contexts, and graphs. Students develop an understanding of unit rate and how it can be used to solve problems. The work throughout this topic is grounded in contextual situations.
Standards Covered: 6.PFA.1, 6.PFA.2
Assessment Window: October 14-17, 2025
In Savvas enVision Topic 3, students will reason and use multiple strategies to express equivalency, compare, and order numbers written as fractions, mixed numbers, decimals, and percents. They will learn to represent and recognize patterns with whole number exponents, including powers of ten and perfect squares. As part of Math 6 Extended, students will then move to Grade 7 Savvas enVision Topic 7 to extend their work with whole number exponents to develop an understanding of how powers of ten are used to represent quantities in scientific notation and explore the relationship between perfect squares and square roots.
Standards Covered: 6.NS.1, 6.NS.3, 7.NS.1, 7.NS.3
In Savvas enVision Topic 3, students will reason and use multiple strategies to express equivalency, compare, and order numbers written as fractions, mixed numbers, decimals, and percents. They will learn to represent and recognize patterns with whole number exponents, including powers of ten and perfect squares. As part of Math 6 Extended, students will then move to Grade 7 Savvas enVision Topic 7 to extend their work with whole number exponents to develop an understanding of how powers of ten are used to represent quantities in scientific notation and explore the relationship between perfect squares and square roots.
Standards Covered: 6.NS.1, 6.NS.3, 7.NS.1, 7.NS.3
Assessment Window: November 17-21, 2025
In Savvas enVision Topic 4, students develop an understanding of integers and their representations, including how they are used in real-world situations. They compare and order integers and explore absolute value and the relationship between integers and their opposites. Students then learn how to add, subtract, multiply, and divide integers by exploring models to develop an understanding of the operations. Throughout their work with integer operations, students estimate, determine, and justify solutions to contextual problems.
Standards Covered: 6.NS.2, 6.CE.2
Assessment Window: January 12-16, 2026
In Savvas enVision Topic 5, students develop an understanding of algebraic vocabulary and then apply this vocabulary as they represent, solve, and confirm solutions to one- and two-step linear equations in one variable. Then, students explore linear inequalities. The work throughout this topic is grounded in contextual situations.
Standards Covered: 6.PFA.3, 6.PFA.4, 7.PFA.3
In Savvas enVision Topic 5, students develop an understanding of algebraic vocabulary and then apply this vocabulary as they represent, solve, and confirm solutions to one- and two-step linear equations in one variable. Then, students explore linear inequalities. The work throughout this topic is grounded in contextual situations.
Standards Covered: 6.PFA.3, 6.PFA.4, 7.PFA.3
Assessment Window: February 9-13, 2026
In Savvas enVision Topic 6, students develop formulas to determine the area of triangles and parallelograms, then apply these formulas to solve problems. They learn to describe the coordinate plane and graph ordered pairs. Then students explore congruence of segments, angles, and polygons. Finally, students work with circles, including exploring the relationships between various parts of a circle, developing an approximation for pi, and working with the formulas for circumference and area.
Standards Covered: 6.MG.1, 6.MG.2, 6.MG.3, 6.MG.4
Assessment Window: March 16-19, 2026
In Savvas enVision Topic 7, students work with data. They apply the data cycle with a focus on circle graphs. Then students work with measures of center as they represent the mean as a balance point, determine the effect of changing a single data point, and explore the impact of outliers.
Standards Covered: 6.PS.1, 6.PS.2
In Savvas enVision Topic 7, students work with data. They apply the data cycle with a focus on circle graphs. Then students work with measures of center as they represent the mean as a balance point, determine the effect of changing a single data point, and explore the impact of outliers.
Standards Covered: 6.PS.1, 6.PS.2
Assessment Window: April 20-24, 2026
In Savvas enVision Topic 3, students learn to recognize and understand that quantities described by equivalent ratios are in a proportional relationship. They use ratio tables and set up proportions to determine missing values in these relationships. Students then apply their knowledge of proportional relationships to convert between units of measurement and to estimate and determine percentages of given whole numbers. The work through this topic is grounded in contextual situations.
Standards Covered: 7.CE.2
Assessment Window: May 18-22, 2026
In Savvas enVision Topic 4, students learn about the properties of quadrilaterals as they compare and contrast quadrilaterals and apply their properties to determine unknown side lengths and angle measurements. Students then use proportional reasoning as they work with similar figures and dilations. They explore these concepts in context, including scale drawings.
Standards Covered: 7.MG.2, 7.MG.3, 7.MG.4
Assessment Window: June 1-5, 2026
Students in Math 7 will extend their understanding of rational numbers to include negative values, scientific notation, and square roots, develop and apply formulas for volume and surface area, explore the relationships between quadrilaterals, explore the data cycle with histograms, develop proportional reasoning and apply this concept to similarity and dilations, simplify and evaluate expressions using the order of operations, solve two-step linear equations and one- and two-step inequalities, and investigate theoretical and experimental probability. At the end of the year, students will take the Grade 7 Mathematics Standards of Learning (SOL) test.
Savvas enVision Seventh Grade Math Family Resources
In Savvas enVision Topic 1, students will reason and use multiple strategies to compare and order rational numbers. They will then estimate, solve, and justify solutions to multistep contextual problems involving operations with rational numbers.
Standards Covered: 7.NS.2, 7.CE.1
Assessment Window: September 15-19, 2025
In Savvas enVision Topic 7, students will investigate and describe the concept of exponents for powers of ten and compare and order numbers greater than zero written in scientific notation. They will then learn to recognize and describe the relationship between square roots and perfect squares.
Standards Covered: 7.NS.1, 7.NS.3
Assessment Window: October 6-10, 2025
In Savvas enVision Topic 2, students simplify numerical expressions, simplify and generate equivalent algebraic expressions with a focus on combining like terms, and evaluate algebraic expressions for given replacement values of the variables. They will then write and solve two-step linear equations and one- and two-step linear inequalities. Students will solve problems in context for both equations and inequalities.
Standards Covered: 7.PFA.2, 7.PFA.3, 7.PFA.4
In Savvas enVision Topic 2, students simplify numerical expressions, simplify and generate equivalent algebraic expressions with a focus on combining like terms, and evaluate algebraic expressions for given replacement values of the variables. They will then write and solve two-step linear equations and one- and two-step linear inequalities. Students will solve problems in context for both equations and inequalities.
Standards Covered: 7.PFA.2, 7.PFA.3, 7.PFA.4
Assessment Window: November 17-21, 2025
In Savvas enVision Topic 3, students learn to recognize and understand that quantities described by equivalent ratios are in a proportional relationship. They use ratio tables and set up proportions to determine missing values in these relationships. Students then apply their knowledge of proportional relationships to convert between units of measurement and to estimate and determine percentages of given whole numbers. The work through this topic is grounded in contextual situations.
Standards Covered: 7.CE.2
Assessment Window: December 15-19, 2025
In the first part of Savvas enVision Topic 4, students explore proportional relationships through multiple representations, including tables, graphs, equations, and verbal descriptions. They learn to identify and interpret the constant of proportionality and understand how it relates to the concept of slope in linear relationships. Students use these representations to solve real-world problems. The topic emphasizes the connection between mathematical models and contextual situations, fostering a deeper understanding of proportional reasoning and linear relationships.
Standards Covered: 7.PFA.1
In the first part of Savvas enVision Topic 4, students explore proportional relationships through multiple representations, including tables, graphs, equations, and verbal descriptions. They learn to identify and interpret the constant of proportionality and understand how it relates to the concept of slope in linear relationships. Students use these representations to solve real-world problems. The topic emphasizes the connection between mathematical models and contextual situations, fostering a deeper understanding of proportional reasoning and linear relationships.
Standards Covered: 7.PFA.1
Assessment Window: February 2-6, 2026
In the second part of Savvas enVision Topic 4, students learn about the properties of quadrilaterals as they compare and contrast quadrilaterals and apply their properties to determine unknown side lengths and angle measurements. Students then use proportional reasoning as they work with similar figures and dilations. They will explore these concepts in context, including scale drawings.
Standards Covered: 7.MG.2, 7.MG.3, 7.MG.4
Assessment Window: February 23-27, 2026
In Savvas enVision Topic 5, students investigate the difference between experimental and theoretical probability and calculate the probability of various events. Then they apply the data cycle with a focus on histograms.
Standards Covered: 7.PS.1, 7.PS.2
Assessment Window: March 23-27, 2026
In Savvas enVision Topic 6, students develop formulas to determine the volume of right cylinders and the surface area of rectangular prisms and right cylinders. They then apply these formulas as they solve problems, involving those grounded in contextual situations. Students also explore how scaling one dimension of a rectangular prism up or down effects its volume and surface area.
Standards Covered: 7.MG.1
Assessment Window: April 20-24, 2026
In Math 7 Extended, students learn approximately half of the Grade 7 Mathematics Standards and all the Grade 8 Mathematics Standards. The Grade 7 Mathematics Standards are taught in connection with the Grade 8 Mathematics Standards. Students will develop and apply formulas for surface area of rectangular prisms and volume and surface area of cylinders, explore the data cycle with histograms, simplify and evaluate expressions using the order of operations, solve one- and two-step inequalities, and investigate theoretical and experimental probability. Students will develop an understanding of the real number system, apply proportions to solve consumer math problems, explore angle relationships, determine the surface area and volume of square-based pyramids and cones, work with transformations on the coordinate plane, learn the Pythagorean Theorem, solve problems involving the area of perimeter of composite figures, investigate independent and dependent probability, explore the data cycle with boxplots and histograms, develop an understanding of linear functions, and solve multistep equations and inequalities. At the end of the year, students will take the Grade 8 Mathematics Standards of Learning (SOL) test.
Savvas enVision Seventh Grade Math Family Resources
Savvas enVision Eighth Grade Math Family Resources
In Savvas enVision Topic 1, students will compare and order real numbers and determine the relationships between the real numbers. Students will also investigate and describe the relationship between the subsets of the real number system. Students will then estimate and apply proportional reasoning and computational procedures to solve contextual problems with real numbers and percents.
Standards Covered: 7.NS.2, 7.CE.1, 8.NS.1, 8.NS.2, 8.CE.1
Assessment Window: September 22-September 26, 2025
In Savvas enVision Topic 2, students will represent, simplify, and generate equivalent algebraic expressions in one variable. Students will work with models and the properties of real numbers throughout the topic.
Standards Covered: 7.PFA.2, 8.PFA.1
Assessment Window: October 20-October 24, 2025
In Savvas enVision Topic 3, students will write and solve multistep linear equations in one variable, including problems in context. Students will then write and solve multistep linear inequalities in one variable, including problems in context. discount, using proportions and equations.
Standards Covered: 7.PFA.3, 7.PFA.4, 8.PFA.4, 8.PFA.5
In Savvas enVision Topic 3, students will write and solve multistep linear equations in one variable, including problems in context. Students will then write and solve multistep linear inequalities in one variable, including problems in context. discount, using proportions and equations.
Standards Covered: 7.PFA.3, 7.PFA.4, 8.PFA.4, 8.PFA.5
Assessment Window: November 17-November 21, 2025
In Savvas enVision Topic 4, students explore relations and functions and represent them in various ways. Students will graph and analyze representations of linear functions, including y=mx and y=mx+b forms, and determine the slope and y-intercept, including interpreting their meanings in context. Students will write linear functions that model real-world relationships, sketch lines of best fit for data represented in a scatterplot, and apply the data cycle with a focus on scatterplots.
Standards Covered: 7.PFA.1, 8.PS.3, 8.PFA.2, 8.PFA.3
Assessment Window: January 12-January 16, 2026
In Savvas enVision Topic 5, students will investigate and prove Pythagorean Theorem concepts. They will apply knowledge of the Pythagorean Theorem to determine side lengths of right triangles and use its converse to justify whether a triangle is a right triangle.
Standards Covered: 8.MG.4
In Savvas enVision Topic 5, students will investigate and prove Pythagorean Theorem concepts. They will apply knowledge of the Pythagorean Theorem to determine side lengths of right triangles and use its converse to justify whether a triangle is a right triangle.
Standards Covered: 8.MG.4
Assessment Window: February 2-6, 2026
In Savvas enVision Topic 6 (Part 1), students solve geometry problems, including those involving angle relationships formed by intersecting lines and the area and perimeter of composite plane figures.
Standards Covered: 8.MG.1, 8.MG.5
Assessment Window: February 23-27, 2026
In Savvas enVision Topic 6 (Part 2), students solve geometry problems, including those involving translations and reflections in the coordinate plane, as well as the surface area of rectangular prisms, right cylinders, and square-based pyramids, and the volume of right cylinders, cones, and square-based pyramids.
Standards Covered: 7.MG.1, 8.MG.2, 8.MG.3
Assessment Window: March 16-19, 2026
In Savvas enVision Topic 7, students will use statistical investigation to determine, compare, and contrast the probability of an event and independent and dependent events. Students will also apply the data cycle with a focus on boxplots and compare and analyze graphical representations.
Standards Covered: 7.PS.1, 7.PS.2, 8.PS.1, 8.PS.2
In Savvas enVision Topic 7, students will use statistical investigation to determine, compare, and contrast the probability of an event and independent and dependent events. Students will also apply the data cycle with a focus on boxplots and compare and analyze graphical representations.
Standards Covered: 7.PS.1, 7.PS.2, 8.PS.1, 8.PS.2
Assessment Window: April 20-24, 2026
Pre-Algebra is the foundation for high-school level mathematics courses. The Grade 8 Mathematics Standards are taught in this course. Students will develop an understanding of the real number system, apply proportions to solve consumer math problems, explore angle relationships, extend their understanding of volume and surface area to square-based pyramids and cones, work with transformations on the coordinate plane, learn the Pythagorean Theorem, solve problems involving the area and perimeter of composite figures, investigate independent and dependent probability, explore the data cycle with boxplots and scatterplots, develop an understanding of linear functions, and solve multistep equations and inequalities. At the end of the year, students will take the Grade 8 Mathematics Standards of Learning (SOL) test.
Savvas enVision Eighth Grade Math Family Resources
In Savvas enVision Topic 1, students will compare and order real numbers and determine the relationships between the real numbers. Students will also investigate and describe the relationship between the subsets of the real number system. Students will then estimate and apply proportional reasoning and computational procedures to solve contextual problems with real numbers and percents.
Standards Covered: 8.NS.1, 8.NS.2, 8.CE.1
Assessment Window: September 22-26, 2025
In Savvas enVision Topic 2, students will represent, simplify, and generate equivalent algebraic expressions in one variable. Students will work with models and the properties of real numbers throughout the topic.
Standards Covered: 8.PFA.1
Assessment Window: October 14-17, 2025
In Savvas enVision Topic 3, students will write and solve multistep linear equations in one variable, including problems in context. Students will then write and solve multistep linear inequalities in one variable, including problems in context.
Standards Covered: 8.PFA.4, 8.PFA.5
In Savvas enVision Topic 3, students will write and solve multistep linear equations in one variable, including problems in context. Students will then write and solve multistep linear inequalities in one variable, including problems in context.
Standards Covered: 8.PFA.4, 8.PFA.5
Assessment Window: November 17-21, 2025
In Savvas enVision Topic 4, students explore relations and functions and represent them in various ways. Students will graph and analyze representations of linear functions, including y=mx+b form, and determine the slope and y-intercept, including interpreting their meanings in context. Students will write linear functions that model real-world relationships, sketch lines of best fit for data represented in a scatterplot, and apply the data cycle with a focus on scatterplots.
Standards Covered: 8.PS.3, 8.PFA.2, 8.PFA.3
Assessment Window: January 12-16, 2026
In Savvas enVision Topic 5, students will investigate and prove Pythagorean Theorem concepts. They will apply knowledge of the Pythagorean Theorem to determine side lengths of right triangles and use its converse to justify whether a triangle is a right triangle.
Standards Covered: 8.MG.4
In Savvas enVision Topic 5, students will investigate and prove Pythagorean Theorem concepts. They will apply knowledge of the Pythagorean Theorem to determine side lengths of right triangles and use its converse to justify whether a triangle is a right triangle.
Standards Covered: 8.MG.4
Assessment Window: February 2-6, 2026
In Savvas enVision Topic 6 (Part 1), students solve geometry problems, including those involving angle relationships formed by intersecting lines and the area and perimeter of composite plane figures.
Standards Covered: 8.MG.1, 8.MG.5
Assessment Window: February 23-27, 2026
In Savvas enVision Topic 6 (Part 2), students solve geometry problems including those involving translations and reflections in the coordinate plane and the surface area of square-based pyramids and the volume of cones and square-based pyramids.
Standards Covered: 8.MG.2, 8.MG.3
Assessment Window: March 16-19, 2026
In Savvas enVision Topic 7, students will use statistical investigation to determine, compare, and contrast the probability of independent and dependent events. Students will also apply the data cycle with a focus on boxplots and compare and analyze graphical representations.
Standards Covered: 8.PS.1, 8.PS.2
In Savvas enVision Topic 7, students will use statistical investigation to determine, compare, and contrast the probability of independent and dependent events. Students will also apply the data cycle with a focus on boxplots and compare and analyze graphical representations.
Standards Covered: 8.PS.1, 8.PS.2
Assessment Window: April 20-24, 2026
How can Algebra help us beyond school? As we explore situations, what do we notice? Are there patterns of interest? If there are, how can we describe these patterns and how can they help us make predictions and decisions? What language and mathematical ideas do we use to increase our precision? As new topics are introduced, students will work with informal descriptions of contextual data and generalize what they see. It is important to allow the students time to describe the patterns without the burden of using formal symbols or vocabulary. The formalization of these ideas is developed as students generalize concepts through the exploration of specific functions. This generalization leads towards proficiency with abstract symbolic manipulation. Students will complete the course with conceptual understanding and procedural skills for success in the continued study of advanced mathematics.
Savvas enVision Algebra 1 Family Resources
Unit/Topic 1 focuses on extending students’ understanding of writing and solving equations and inequalities to include equations and inequalities that require multiple steps to solve, as well as those that have variables on both sides of the equation or inequality. Students expand their ability to algebraically and graphically represent, solve, explain, and interpret solutions to linear equations and inequalities. Students refine understanding of equality within algebraic situations, and the preservation of the relationship between expressions when operating on equations and inequalities. In Advanced Algebra 1, students will also delve into absolute value equations.
Standards Covered: A.EO.1, A.EI.1, A2.EI.1abe
Assessment Window: September 15-19, 2025
Unit/Topic 2 focuses on extending students’ understanding of linear equations. Students will build upon contextual and generalized concepts as they represent linear functions algebraically. This will include comparison of various forms of linear functions (slope-intercept, standard, pointslope) to explore the benefits of each approach. Students will formalize their understanding of linear functions by interpreting and analyzing various forms of a linear model with and without context.
Standards Covered: A.F.1
Assessment Window: September 29-October 3, 2025
Unit/Topic 3 focuses on extending students’ understanding of linear equations to linear functions. Students learn methods to write, graph, and transform linear functions. They also apply analytic methods to tabular and graphic data sets that have linear relationships. Students will use what they learn about linear functions and apply that to the data cycle. Relationships in bivariate data will be the basis of formulating investigative questions and collecting or acquiring data. Tables and scatterplots will provide representations of the data for students to begin making observations and communicating inferences about the patterns and relationships.
Standards Covered: A.F.1, A.ST.1
Assessment Window: October 27-31, 2025
Unit/Topic 4 focuses on students extending their understanding of linear equations and inequalities to systems of linear equations and inequalities. Students learn methods to solve systems of linear equations and inequalities. Students identify when each solution method is most useful.
Standards Covered: A.EI.2
Assessment Window: November 24-25, 2025
Note: Savvas enVision Algebra 1 Topic 5 is not part of the Virginia Algebra 1 curriculum.Topic 6 focuses on extending knowledge of functions to include the exponential function. Students learn to identify, write, graph, and transform exponential functions. Students use exponential functions to model real-world situations and make predictions.
Standards Covered: A.EO.3, A.F.2, A.EO.2
Assessment Window: January 5-9, 2026
Unit/Topic 7 focuses on extending polynomials. Students identify the parts and factors of polynomials. Students understand how to factor trinomials using the greatest common factor, binomial factors, and special patterns. Students learn methods to add, subtract, multiply, and divide polynomials.
Standards Covered: A.EO.2, A2.EO.3
Unit/Topic 7 focuses on extending polynomials. Students identify the parts and factors of polynomials. Students understand how to factor trinomials using the greatest common factor, binomial factors, and special patterns. Students learn methods to add, subtract, multiply, and divide polynomials.
Standards Covered: A.EO.2, A2.EO.3
Assessment Window: February 9-13, 2026
Unit/Topic 8 focuses on extending students’ previous understanding of functions to include quadratic functions: graphing them to model real-world situations, and comparing them to linear and exponential functions.
Standards Covered: A.F.2
Assessment Window: March 2-6, 2026
Unit/Topic 9 focuses on extending knowledge of quadratic functions. Students learn to solve quadratic equations using tables, graphs, and factoring. Students also solve quadratic equations using the quadratic formula.
Standards Covered: A.EI.3
Assessment Window: March 23-27, 2026
Unit/Topic 10 focuses on comparing and contrasting linear, quadratic, and exponential functions. Much of the material in Unit/Topic 10 is a review from earlier in the year, with the focus of preparing students for the end-of-course SOL.
Standards Covered: A.F.1, A.F.2
Assessment Window: April 20-24, 2026
This course includes emphasis on two- and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve problems. A variety of real-world applications and general problem-solving techniques, including Algebra skills, are used to implement these standards. Technology tools will be used. This course has an associated Standards of Learning (SOL) test. Students will participate in these tests only when they have not yet earned sufficient credit for graduation and/or satisfied federal testing requirements.
Savvas enVision Geometry Family Resources
This topic begins by building essential geometry skills that are critical for success in future topics. Students will learn how to measure and understand properties of line segments and angles, perform basic constructions, and use coordinate geometry to find the length and midpoint of line segments. With this foundation in place, students will then explore key concepts in logic and set theory, including how to translate and interpret logical statements using symbols. They will analyze conditional reasoning—such as converses, inverses, and contrapositives—and apply these ideas to geometric contexts. Finally, students will use Venn diagrams to visualize and interpret relationships between sets, both in abstract math and real-world situations.
Standards Covered: G.RLT.1
Assessment Window: September 8-12, 2025
Topic 2 begins by focusing on the properties of parallel lines and the angle relationships formed when parallel lines are cut by a transversal. The rest of the topic examines how these angle relationships can help prove whether or not lines are parallel, the relationships between parallel lines and triangle angles, and the relationships between the slopes of parallel and perpendicular lines.
Standards Covered: G.RLT.2, G.TR.1
Assessment Window: September 29-October 3, 2025
Topic 3 begins by focusing on transformations, moving from the definition of rigid motion to the rigid transformations: reflections, translations, and rotations. The rest of the topic examines how transformations can be combined to create new images and complete proofs, such as the proof for demonstrating that a composition of two or more rigid motions is also a rigid motion.
Standards Covered: G.RLT.3
Assessment Window: October 14-17, 2025
Topic 4 focuses on congruence and transformations resulting in congruent figures. The lesson includes the definitions of congruence and congruence transformations and provides examples to help students determine if figures are congruent. The topic then explores various triangles and defines congruence theorems that prove triangles are congruent given congruent angles and sides of the triangles.
Standards Covered: G.TR.2
Topic 4 focuses on congruence and transformations resulting in congruent figures. The lesson includes the definitions of congruence and congruence transformations and provides examples to help students determine if figures are congruent. The topic then explores various triangles and defines congruence theorems that prove triangles are congruent given congruent angles and sides of the triangles.
Standards Covered: G.TR.2
Assessment Window: November 5-7, 2025
Unit/Topic 5 begins by focusing on the concurrent points found in a triangle using perpendicular bisectors and angle bisectors. The rest of the topic examines the relationships of the angle measures and side lengths within a triangle, as well as the angle measures and side lengths of two triangles.
Standards Covered: G.TR.1, G.TR.2
Assessment Window: December 1-5, 2025
Unit/Topic 6 begins by focusing on the interior and exterior angles of polygons. The rest of the topic focuses on quadrilaterals, examining properties of trapezoids, and then the properties and conditions of specific types of parallelograms.
Standards Covered: G.PC.1, G.PC.2
Assessment Window: December 15-19, 2025
Unit/Topic 7 begins with an examination of dilations and similarity transformations. These concepts are then applied to triangles; students examine the criteria for proving two triangles similar and analyze similarity in right triangles. Finally, students consider proportions in triangles.
Standards Covered: G.TR.2, G.TR.3, G.RLT.3
Unit/Topic 7 begins with an examination of dilations and similarity transformations. These concepts are then applied to triangles; students examine the criteria for proving two triangles similar and analyze similarity in right triangles. Finally, students consider proportions in triangles.
Standards Covered: G.TR.2, G.TR.3, G.RLT.3
Assessment Window: January 26-30, 2026
Unit/Topic 8 begins by applying properties of similar right triangles to understand the Pythagorean Theorem, relationships in special triangles, and trigonometric ratios. Students then extend their understanding to various contextual problems.
Standards Covered: G.TR.4, T.TT.1
Assessment Window: February 17-20, 2026
Unit/Topic 9 examines several aspects of coordinate geometry. It begins by analyzing figures on the coordinate plane using slope, midpoint, and distance. Next, students examine coordinate proofs, using coordinate geometry to prove properties of figures. Finally, circles on the coordinate plane are considered. Students develop equations of circles and use them to solve problems.
Standards Covered: G.PC.1, G.TR.2, G.TR.3, G.PC.4
Assessment Window: March 2-6, 2026
Unit/Topic 10 begins with an examination of arc length, sector area, and segment area, and an introduction to radians as a unit of angle measure. Students then examine properties of tangents, chords, and inscribed angles. Finally, students learn about the properties of angles, arcs, and segment lengths that are formed when two lines intersect inside or outside a circle.
Standards Covered: G.PC.3, G.TR.4, T.CT.1, T.CT.2
Unit/Topic 10 begins with an examination of arc length, sector area, and segment area, and an introduction to radians as a unit of angle measure. Students then examine properties of tangents, chords, and inscribed angles. Finally, students learn about the properties of angles, arcs, and segment lengths that are formed when two lines intersect inside or outside a circle.
Standards Covered: G.PC.3, G.TR.4, T.CT.1, T.CT.2
Assessment Window: April 20-24, 2026
Unit/Topic 11 opens by considering the relationship between the numbers of faces, vertices, and edges in polyhedra, examining cross sections, and determining the three-dimensional figure formed by rotating a two-dimensional figure. Students then consider the volume of oblique solids by comparing the cross sections of oblique solids to corresponding right solids. Throughout the topic, students apply the volume formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems.
Standards Covered: G.DF.1, G.DF.2
Assessment Window: April 27-May 1, 2026
How can Algebra help us beyond school? As we explore situations, what do we notice? Are there patterns of interest? If there are, how can we describe these patterns and how can they help us make predictions and decisions? What language and mathematical ideas do we use to increase our precision? As new topics are introduced, students will work with informal descriptions of contextual data and generalize what they see. It is important to allow the students time to describe the patterns without the burden of using formal symbols or vocabulary. The formalization of these ideas is developed as students generalize concepts through the exploration of specific functions. This generalization leads towards proficiency with abstract symbolic manipulation. Students will complete the course with conceptual understanding and procedural skills for success in the continued study of advanced mathematics.
Savvas enVision Algebra 1 Family Resources
Unit/Topic 1 focuses on extending students’ understanding of writing and solving equations and inequalities to include equations and inequalities that require multiple steps to solve, as well as those that have variables on both sides of the equation or inequality. Students expand their ability to algebraically and graphically represent, solve, explain, and interpret solutions to linear equations and inequalities. Students refine understanding of equality within algebraic situations, and the preservation of the relationship between expressions when operating on equations and inequalities.
Standards Covered: A.EO.1, A.EI.1
Assessment Window: September 15-19, 2025
Unit/Topic 2 focuses on extending students’ understanding of linear equations. Students will build upon contextual and generalized concepts as they represent linear functions algebraically. This will include comparison of various forms of linear functions (slope-intercept, standard, point-slope) to explore the benefits of each approach. Students will formalize their understanding of linear functions by interpreting and analyzing various forms of a linear model with and without context.
Standards Covered: A.F.1
Assessment Window: September 29-October 3, 2025
Unit/Topic 3 focuses on extending students’ understanding of linear equations to linear functions. Students learn methods to write, graph, and transform linear functions. They also apply analytic methods to tabular and graphic data sets that have linear relationships. Students will use what they learn about linear functions and apply that to the data cycle. Relationships in bivariate data will be the basis of formulating investigative questions and collecting or acquiring data. Tables and scatterplots will provide representations of the data for students to begin making observations and communicating inferences about the patterns and relationships.
Standards Covered: A.F.1, A.ST.1
Assessment Window: October 27-31, 2025
Unit/Topic 4 focuses on students extending their understanding of linear equations and inequalities to systems of linear equations and inequalities. Students learn methods to solve systems of linear equations and inequalities. Students identify when each solution method is most useful.
Standards Covered: A.EI.2
Assessment Window: December 1-5, 2025
Note: Savvas enVision Algebra 1 Topic 5 is not part of the Virginia Algebra 1 curriculum.
Topic 6 focuses on extending knowledge of functions to include the exponential function. Students learn to identify, write, graph, and transform exponential functions. Students use exponential functions to model real-world situations and make predictions.
Standards Covered: A.EO.3, A.F.2efgh
Assessment Window: January 5-9, 2026
Unit/Topic 7 focuses on extending polynomials. Students identify the parts and factors of polynomials. Students understand how to factor trinomials using the greatest common factor, binomial factors, and special patterns. Students learn methods to add, subtract, multiply, and divide polynomials.
Standards Covered: A.EO.2
Unit/Topic 7 focuses on extending polynomials. Students identify the parts and factors of polynomials. Students understand how to factor trinomials using the greatest common factor, binomial factors, and special patterns. Students learn methods to add, subtract, multiply, and divide polynomials.
Standards Covered: A.EO.2
Assessment Window: February 2-6, 2026
Unit/Topic 8 focuses on extending students’ previous understanding of functions to include quadratic functions: graphing them to model real-world situations, and comparing them to linear and exponential functions.
Standards Covered: A.F.2
Assessment Window: February 23-27, 2026
Unit/Topic 9 focuses on extending knowledge of quadratic functions. Students learn to solve quadratic equations using tables, graphs, and factoring. Students also solve quadratic equations using the quadratic formula.
Standards Covered: A.EI.3
Assessment Window: March 23-27, 2026
Unit/Topic 10 focuses on comparing and contrasting linear, quadratic, and exponential functions. Much of the material in Unit/Topic 10 is a review from earlier in the year with the focus of preparing students for the end-of-course SOL.
Standards Covered: A.F.1, A.F.2
Assessment Window: April 20-24, 2026
How can Algebra help us beyond school? As we explore situations, what do we notice? Are there patterns of interest? If there are, how can we describe these patterns and how can they help us make predictions and decisions? What language and mathematical ideas do we use to increase our precision? As new topics are introduced, students will work with informal descriptions of contextual data and generalize what they see. It is important to allow the students time to describe the patterns without the burden of using formal symbols or vocabulary. The formalization of these ideas is developed as students generalize concepts through the exploration of specific functions. This generalization leads towards proficiency with abstract symbolic manipulation. Students will complete the course with conceptual understanding and procedural skills for success in the continued study of advanced mathematics.
Savvas enVision Algebra 1 Family Resources
Unit/Topic 1 focuses on extending students’ understanding of writing and solving equations and inequalities to include equations and inequalities that require multiple steps to solve, as well as those that have variables on both sides of the equation or inequality. Students expand their ability to algebraically and graphically represent, solve, explain, and interpret solutions to linear equations and inequalities. Students refine understanding of equality within algebraic situations, and the preservation of the relationship between expressions when operating on equations and inequalities. In Advanced Algebra 1, students will also delve into absolute value equations.
Standards Covered: A.EO.1, A.EI.1, A2.EI.1abe
Assessment Window: September 15-September 19, 2025
Unit/Topic 2 focuses on extending students’ understanding of linear equations. Students will build upon contextual and generalized concepts as they represent linear functions algebraically. This will include comparison of various forms of linear functions (slope-intercept, standard, pointslope) to explore the benefits of each approach. Students will formalize their understanding of linear functions by interpreting and analyzing various forms of a linear model with and without context.
Standards Covered: A.F.1
Assessment Window: September 29-October 3, 2025
Unit/Topic 3 focuses on extending students’ understanding of linear equations to linear functions. Students learn methods to write, graph, and transform linear functions. They also apply analytic methods to tabular and graphic data sets that have linear relationships. Students will use what they learn about linear functions and apply that to the data cycle. Relationships in bivariate data will be the basis of formulating investigative questions and collecting or acquiring data. Tables and scatterplots will provide representations of the data for students to begin making observations and communicating inferences about the patterns and relationships.
Standards Covered: A.F.1, A.ST.1
Assessment Window: October 27-31, 2025
Unit/Topic 4 focuses on students extending their understanding of linear equations and inequalities to systems of linear equations and inequalities. Students learn methods to solve systems of linear equations and inequalities. Students identify when each solution method is most useful.
Standards Covered: A.EI.2
Assessment Window: November 24-25, 2025
Note: Savvas enVision Algebra 1 Topic 5 is not part of the Virginia Algebra 1 curriculum.Topic 6 focuses on extending knowledge of functions to include the exponential function. Students learn to identify, write, graph, and transform exponential functions. Students use exponential functions to model real-world situations and make predictions.
Standards Covered: A.EO.3, A.F.2, A.EO.2
Assessment Window: January 5-9, 2026
Unit/Topic 7 focuses on extending polynomials. Students identify the parts and factors of polynomials. Students understand how to factor trinomials using the greatest common factor, binomial factors, and special patterns. Students learn methods to add, subtract, multiply, and divide polynomials.
Standards Covered: A.EO.2, A2.EO.3
Unit/Topic 7 focuses on extending polynomials. Students identify the parts and factors of polynomials. Students understand how to factor trinomials using the greatest common factor, binomial factors, and special patterns. Students learn methods to add, subtract, multiply, and divide polynomials.
Standards Covered: A.EO.2, A2.EO.3
Assessment Window: February 9-13, 2026
Unit/Topic 8 focuses on extending students’ previous understanding of functions to include quadratic functions: graphing them to model real-world situations, and comparing them to linear and exponential functions.
Standards Covered: A.F.2
Assessment Window: March 2-6, 2026
Unit/Topic 9 focuses on extending knowledge of quadratic functions. Students learn to solve quadratic equations using tables, graphs, and factoring. Students also solve quadratic equations using the quadratic formula.
Standards Covered: A.EI.3
Assessment Window: March 23-27, 2026
Unit/Topic 10 focuses on comparing and contrasting linear, quadratic, and exponential functions. Much of the material in Unit/Topic 10 is a review from the earlier in the year with the focus of preparing students for the end-of-course SOL.
Standards Covered: A.F.1, A.F.2
Assessment Window: April 20-24, 2026
This course includes emphasis on two- and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve problems. A variety of real-world applications and general problem-solving techniques, including Algebra skills, are used to implement these standards. Technology tools will be used. This course has an associated Standards of Learning (SOL) test. Students will participate in these tests only when they have not yet earned sufficient credit for graduation and/or satisfied federal testing requirements.
Savvas enVision Geometry Family Resources
This topic begins by building essential geometry skills that are critical for success in future topics. Students will learn how to measure and understand properties of line segments and angles, perform basic constructions, and use coordinate geometry to find the length and midpoint of line segments. With this foundation in place, students will then explore key concepts in logic and set theory, including how to translate and interpret logical statements using symbols. They will analyze conditional reasoning—such as converses, inverses, and contrapositives—and apply these ideas to geometric contexts. Finally, students will use Venn diagrams to visualize and interpret relationships between sets, both in abstract math and real-world situations.
Standards Covered: G.RLT.1
Assessment Window: September 8-12, 2025
Topic 2 begins by focusing on the properties of parallel lines and the angle relationships formed when parallel lines are cut by a transversal. The rest of the topic examines how these angle relationships can help prove whether or not lines are parallel, the relationships between parallel lines and triangle angles, and the relationships between the slopes of parallel and perpendicular lines.
Standards Covered: G.RLT.2, G.TR.1
Assessment Window: October 6-10, 2025
Topic 3 begins by focusing on transformations, moving from the definition of rigid motion to the rigid transformations: reflections, translations, and rotations. The rest of the topic examines how transformations can be combined to create new images and complete proofs, such as the proof for demonstrating that a composition of two or more rigid motions is also a rigid motion.
Standards Covered: G.RLT.3
Assessment Window: October 20-24, 2025
Topic 4 focuses on congruence and transformations resulting in congruent figures. The lesson includes the definitions of congruence and congruence transformations and provides examples to help students determine if figures are congruent. The topic then explores various triangles and defines congruence theorems that prove triangles are congruent given congruent angles and sides of the triangles.
Standards Covered: G.TR.2
Topic 4 focuses on congruence and transformations resulting in congruent figures. The lesson includes the definitions of congruence and congruence transformations and provides examples to help students determine if figures are congruent. The topic then explores various triangles and defines congruence theorems that prove triangles are congruent given congruent angles and sides of the triangles.
Standards Covered: G.TR.2
Assessment Window: November 10-14, 2025
Unit/Topic 5 begins by focusing on the concurrent points found in a triangle using perpendicular bisectors and angle bisectors. The rest of the topic examines the relationships of the angle measures and side lengths within a triangle, as well as the angle measures and side lengths of two triangles.
Standards Covered: G.TR.1, G.TR.2
Assessment Window: December 1-5, 2025
Unit/Topic 6 begins by focusing on the interior and exterior angles of polygons. The rest of the topic focuses on quadrilaterals, examining properties of trapezoids, and then the properties and conditions of specific types of parallelograms.
Standards Covered: G.PC.1, G.PC.2
Assessment Window: January 5-9, 2026
Unit/Topic 7 begins with an examination of dilations and similarity transformations. These concepts are then applied to triangles; students examine the criteria for proving two triangles similar and analyze similarity in right triangles. Finally, students consider proportions in triangles.
Standards Covered: G.TR.2, G.TR.3, G.RLT.3
Unit/Topic 7 begins with an examination of dilations and similarity transformations. These concepts are then applied to triangles; students examine the criteria for proving two triangles similar and analyze similarity in right triangles. Finally, students consider proportions in triangles.
Standards Covered: G.TR.2, G.TR.3, G.RLT.3
Assessment Window: February 2-6, 2026
Unit/Topic 8 begins by applying properties of similar right triangles to understand the Pythagorean Theorem, relationships in special triangles, and trigonometric ratios. Students then extend their understanding to various contextual problems.
Standards Covered: G.TR.4
Assessment Window: February 23-27, 2026
Unit/Topic 9 examines several aspects of coordinate geometry. It begins by analyzing figures on the coordinate plane using slope, midpoint, and distance. Next, students examine coordinate proofs, using coordinate geometry to prove properties of figures. Finally, circles on the coordinate plane are considered. Students develop equations of circles and use them to solve problems.
Standards Covered: G.PC.1, G.TR.2, G.TR.3, G.PC.4
Assessment Window: March 9-13, 2026
Unit/Topic 10 begins with an examination of arc length, sector area, and segment area, and an introduction to radians as a unit of angle measure. Students then examine properties of tangents, chords, and inscribed angles. Finally, students learn about the properties of angles, arcs, and segment lengths that are formed when two lines intersect inside or outside a circle.
Standards Covered: G.PC.3, G.TR.4
Unit/Topic 10 begins with an examination of arc length, sector area, and segment area, and an introduction to radians as a unit of angle measure. Students then examine properties of tangents, chords, and inscribed angles. Finally, students learn about the properties of angles, arcs, and segment lengths that are formed when two lines intersect inside or outside a circle.
Standards Covered: G.PC.3, G.TR.4
Assessment Window: April 7-10, 2026
Unit/Topic 11 opens by considering the relationship between the numbers of faces, vertices, and edges in polyhedrons, examining cross sections, and determining the three-dimensional figure formed by rotating a two-dimensional figure. Students then consider the volume of oblique solids by comparing the cross sections of oblique solids to corresponding right solids. Throughout the topic, students apply the volume formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems.
Standards Covered: G.DF.1, G.DF.2
Assessment Window: April 27-May 1, 2026
This course includes emphasis on two- and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve problems. A variety of real-world applications and general problem-solving techniques, including Algebra skills, are used to implement these standards. Technology tools will be used. This course has an associated Standards of Learning (SOL) test. Students will participate in these tests only when they have not yet earned sufficient credit for graduation and/or satisfied federal testing requirements.
Savvas enVision Geometry Family Resources
This topic begins by building essential geometry skills that are critical for success in future topics. Students will learn how to measure and understand properties of line segments and angles, perform basic constructions, and use coordinate geometry to find the length and midpoint of line segments. With this foundation in place, students will then explore key concepts in logic and set theory, including how to translate and interpret logical statements using symbols. They will analyze conditional reasoning—such as converses, inverses, and contrapositives—and apply these ideas to geometric contexts. Finally, students will use Venn diagrams to visualize and interpret relationships between sets, both in abstract math and real-world situations.
Standards Covered: G.RLT.1
Assessment Window: September 8-12, 2025
Topic 2 begins by focusing on the properties of parallel lines and the angle relationships formed when parallel lines are cut by a transversal. The rest of the topic examines how these angle relationships can help prove whether or not lines are parallel, the relationships between parallel lines and triangle angles, and the relationships between the slopes of parallel and perpendicular lines.
Standards Covered: G.RLT.2, G.TR.1
Assessment Window: September 29-October 3, 2025
Topic 3 begins by focusing on transformations, moving from the definition of rigid motion to the rigid transformations: reflections, translations, and rotations. The rest of the topic examines how transformations can be combined to create new images and complete proofs, such as the proof for demonstrating that a composition of two or more rigid motions is also a rigid motion.
Standards Covered: G.RLT.3
Assessment Window: October 14-17, 2025
Topic 4 focuses on congruence and transformations resulting in congruent figures. The lesson includes the definitions of congruence and congruence transformations and provides examples to help students determine if figures are congruent. The topic then explores various triangles and defines congruence theorems that prove triangles are congruent given congruent angles and sides of the triangles.
Standards Covered: G.TR.2
Topic 4 focuses on congruence and transformations resulting in congruent figures. The lesson includes the definitions of congruence and congruence transformations and provides examples to help students determine if figures are congruent. The topic then explores various triangles and defines congruence theorems that prove triangles are congruent given congruent angles and sides of the triangles.
Standards Covered: G.TR.2
Assessment Window: November 5-7, 2025
Unit/Topic 5 begins by focusing on the concurrent points found in a triangle using perpendicular bisectors and angle bisectors. The rest of the topic examines the relationships of the angle measures and side lengths within a triangle, as well as the angle measures and side lengths of two triangles.
Standards Covered: G.TR.1, G.TR.2
Assessment Window: December 1-5, 2025
Unit/Topic 6 begins by focusing on the interior and exterior angles of polygons. The rest of the topic focuses on quadrilaterals, examining properties of trapezoids, and then the properties and conditions of specific types of parallelograms.
Standards Covered: G.PC.1, G.PC.2
Assessment Window: December 15-19, 2025
Unit/Topic 7 begins with an examination of dilations and similarity transformations. These concepts are then applied to triangles; students examine the criteria for proving two triangles similar and analyze similarity in right triangles. Finally, students consider proportions in triangles.
Standards Covered: G.TR.2, G.TR.3, G.RLT.3
Unit/Topic 7 begins with an examination of dilations and similarity transformations. These concepts are then applied to triangles; students examine the criteria for proving two triangles similar and analyze similarity in right triangles. Finally, students consider proportions in triangles.
Standards Covered: G.TR.2, G.TR.3, G.RLT.3
Assessment Window: January 26-30, 2026
Unit/Topic 8 begins by applying properties of similar right triangles to understand the Pythagorean Theorem, relationships in special triangles, and trigonometric ratios. Students then extend their understanding to various contextual problems.
Standards Covered: G.TR.4, T.TT.1
Assessment Window: February 17-20, 2026
Unit/Topic 9 examines several aspects of coordinate geometry. It begins by analyzing figures on the coordinate plane using slope, midpoint, and distance. Next, students examine coordinate proofs, using coordinate geometry to prove properties of figures. Finally, circles on the coordinate plane are considered. Students develop equations of circles and use them to solve problems.
Standards Covered: G.PC.1, G.TR.2, G.TR.3, G.PC.4
Assessment Window: March 2-6, 2026
Unit/Topic 10 begins with an examination of arc length, sector area, and segment area, and an introduction to radians as a unit of angle measure. Students then examine properties of tangents, chords, and inscribed angles. Finally, students learn about the properties of angles, arcs, and segments lengths that are formed when two lines intersect inside or outside a circle.
Standards Covered: G.PC.3, G.TR.4, T.CT.1, T.CT.2
Unit/Topic 10 begins with an examination of arc length, sector area, and segment area, and an introduction to radians as a unit of angle measure. Students then examine properties of tangents, chords, and inscribed angles. Finally, students learn about the properties of angles, arcs, and segment lengths that are formed when two lines intersect inside or outside a circle.
Standards Covered: G.PC.3, G.TR.4, T.CT.1, T.CT.2
Assessment Window: April 13-17, 2026
Unit/Topic 11 opens by considering the relationship between the numbers of faces, vertices, and edges in polyhedrons, examining cross sections, and determining the three-dimensional figure formed by rotating a two-dimensional figure. Students then consider the volume of oblique solids by comparing the cross sections of oblique solids to corresponding right solids. Throughout the topic, students apply the volume formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems.
Standards Covered: G.DF.1, G.DF.2
Assessment Window: April 27-May 1, 2026
Within the context of mathematical modeling and data analysis, students will study functions and their behaviors, systems of inequalities, probability, experimental design and implementation, and analysis of data. Data will be generated through practical applications arising from science, business, and finance. Students will solve problems that require the formulation of linear, quadratic, exponential, or piecewise-defined equations or a system of equations.
Unit 1 is an introduction to the iterative steps of the data cycle. Students will start with formulating questions that require them to collect or acquire bivariate, quantitative data. They will use this data to create scatterplots that represent the data and determine if the data they have will answer their questions. They will describe how their variables are related and explore making predictions and decisions with their representations to answer contextual questions. In later units, students will apply what they have learned to create equations of their data and design and implement experiments or studies.
Standards Covered: AFDA.DA.1, AFDA.DA.2
Unit 2 focuses on using real-world applications and identifying optimal solutions. As teachers and students get to know one another, data collection and analysis serve as a vehicle for community building within the classroom. As students review solving systems of inequalities, they will learn to determine the feasible region solution areas. They will use vertices from the feasible region to determine maximum and minimum values in an optimization function. They will learn how optimization affects business decisions that impact their daily lives. Students should have the opportunity to collect/acquire, display, and discuss data related to themselves and their interests.
Standards Covered: AFDA.AF.3
In Unit 3, the focus will be to review and extend students’ knowledge of various functions to include linear, quadratic, exponential, and piecewise-defined function families. Characteristics will include domain and range, intervals on which a function is increasing, decreasing or constant, end behaviors, absolute maxima and minima, zeros, intercepts, and vertical and horizontal asymptotes. Students will also determine the values of a function and describe and relate the characteristics of the graphs to contextual situations.
Standards Covered: AFDA.AF.2
Students will use a transformational approach for linear, quadratic, and exponential functions that include translations, reflections, and dilations based on the graph of the parent function. Given a graph, they will use their knowledge of transformations to make connections between and among multiple representations of a function.
Standards Covered: AFDA.AF.1
Students will use a transformational approach for linear, quadratic, and exponential functions that include translations, reflections, and dilations based on the graph of the parent function. Given a graph, they will use their knowledge of transformations to make connections between and among multiple representations of a function.
Standards Covered: AFDA.AF.1
Regression is a powerful statistical tool used to understand and predict relationships between variables. In its simplest form, regression involves fitting a line or curve to a set of data points on a graph, allowing one to model and analyze how changes in one variable can impact another. For students, linear regression is a key concept, where a straight line is used to represent the best fit for data that shows a linear relationship. By
learning how to calculate and interpret this line, students can make informed predictions and gain deeper insights into patterns within their data. This foundational skill not only enhances mathematical understanding but also applies to real-world scenarios, from economics to science and beyond.
Standards Covered: AFDA.DA.1, AFDA.DA.2
This unit focuses on understanding and applying concepts related to probability. Students will explore theoretical probability, conditional probabilities, and the relationships between different types of events, including complementary, dependent, independent, and mutually exclusive events. They will also learn to represent probabilities using various models and to calculate permutations and combinations in a variety of
contexts.
Standards Covered: AFDA.DA.3
This unit focuses on understanding and applying concepts related to probability. Students will explore theoretical probability, conditional probabilities, and the relationships between different types of events, including complementary, dependent, independent, and mutually exclusive events. They will also learn to represent probabilities using various models and to calculate permutations and combinations in a variety of contexts.
Standards Covered: AFDA.DA.3
Normal distribution is a fundamental concept in statistics that helps us understand patterns in data. Often called the “bell curve,” it shows how data tend to cluster around a central value, with fewer occurrences as you move further from the center. In this unit, students will explore how the mean and standard deviation shape the curve and learn how to use 𝑍-scores to compare individual data points. They will also calculate probabilities by representing areas under the curve using tools like Standard Normal Probability Tables and statistical software. By the end of the unit, students will be able to determine when the normal distribution is the best model for a data set and apply it to contextual situations such as analyzing heights, test scores, and financial data.
Standards Covered: AFDA.DA.4
Sampling and experiments help us understand information about a group without studying every person or item in it. In this unit, students will learn to collect data samples fairly and accurately. They will explore a variety of sampling techniques and learn how each method can affect the results. Students will also learn the difference between observing data and conducting experiments to test ideas. Activities will include creating surveys, collecting data, and looking at results to see how they can vary. By the end of the unit, students will know how to choose the best sampling technique, detect biased samples, and determine whether the results of an experiment are reliable. They will use these skills to understand contextual situations, such as voting polls, product testing, and scientific experiments.
Standards Covered: AFDA.DA.2
Algebra 2 is about functions and their associated equations. By the end of the course, students should be able to sketch the general shape and name identifying characteristics of absolute value, quadratic and other polynomial, radical, rational, exponential, and logarithmic functions. They should recognize how equivalent forms of expressions and equations illuminate different characteristics and provide opportunities to solve equations, and they should be able to use technology (e.g., graphing utilities) to verify algebraic solutions as well as solve any equation involving those functions.
Savvas enVision Algebra 2 Family Resources
Unit/Topic 1 focuses on extending students’ previous knowledge of functions. Students identify the key features of functions and understand how to interpret graphs of functions. Students learn methods for solving equations and inequalities and systems of linear equations and inequalities by using graphing and tables.
Standards Covered: A2.EI.1, A2.F.2 (piecewise-defined functions)
Topic 2 focuses on extending previous understanding of quadratic functions. Students identify different forms of quadratic functions and their key features. Students explore complex numbers and solve problems with complex numbers. Students learn different methods for solving quadratic equations. Students extend their factoring methods to include different of squares and perfect square trinomials.
Standards Covered: A2.EO.3, A2.EO.4, A2.EI.2, A2.EI.3, A2.F.2 (quadratic functions)
Topic 3 focuses on extending students’ previous knowledge of polynomials. Students identify the key features of polynomial functions and interpret graphs of polynomial functions. They learn methods to add, subtract, multiply, and divide polynomial expressions. They use polynomial identities to multiply and factor polynomial expressions, use multiple theorems as tools to understand the roots of polynomial functions, and transform graphs from cubic or quartic parent functions.
Standards Covered: A2.EO.3, A2.EI.6, A2.F.2 (polynomial functions)
Topic 3 focuses on extending students’ previous knowledge of polynomials. Students identify the key features of polynomial functions and interpret graphs of polynomial functions. They learn methods to add, subtract, multiply, and divide polynomial expressions. They use polynomial identities to multiply and factor polynomial expressions, use multiple theorems as tools to understand the roots of polynomial functions, and transform graphs from cubic or quartic parent functions.
Standards Covered: A2.EO.3, A2.EI.6, A2.F.2 (polynomial functions)
Unit/Topic 4 focuses on extending students’ previous knowledge of polynomial functions to rational functions. Students identify the key features of the graphs of rational functions. Students learn methods of solving rational equations.
Standards Covered: A2.EO.1, A2.EI.4, A2.F.1 (rational functions), A2.F.2 (rational functions)
Topic 5 extends knowledge of radical functions. Students understand properties of rational exponents and radicals. They learn methods to graph radical functions, solve radical equations, and combine functions. Students identify inverses of functions and learn to write the equations of inverse functions.
Standards Covered: A2.EO.2, A2.EI.5, A2.F.1 (square and cube root functions), A2.F.2 (square root, cube root, and piecewise-defined functions)
Topic 5 extends knowledge of radical functions. Students understand properties of rational exponents and radicals. They learn methods to graph radical functions, solve radical equations, and combine functions. Students identify inverses of functions and learn to write the equations of inverse functions.
Standards Covered: A2.EO.2, A2.EI.5, A2.F.1 (square and cube root functions), A2.F.2 (square root, cube root, and piecewise-defined functions)
Unit/Topic 6 focuses on extending previous understanding of exponential functions. Students understand logarithms and their properties. Students learn how to solve exponential and logarithmic equations.
Standards Covered: A2.F.1 (exponential and logarithmic functions), A2.F.2 (exponential and logarithmic functions), A2.ST.2cdefgh
Topic 11 focuses on the comparison of statistical data. Students identify statistical questions and types of statistical studies. They understand that data distributions can be normal and skewed and sample statistics can be used to estimate population parameters. Students learn methods to explain where data values fall within a population and use statistical data to compare groups.
Standards Covered: A2.ST.1, A2.ST.2, A2.ST.3
Topic 11 focuses on the comparison of statistical data. Students identify statistical questions and types of statistical studies. They understand that data distributions can be normal and skewed and sample statistics can be used to estimate population parameters. Students learn methods to explain where data values fall within a population and use statistical data to compare groups.
Standards Covered: A2.ST.1, A2.ST.2, A2.ST.3
Advanced Algebra 2 is about functions and their associated equations. By the end of the course, students should be able to sketch the general shape and name identifying characteristics of absolute value, quadratic and other polynomial, radical, rational, exponential, and logarithmic functions. They should recognize how equivalent forms of expressions and equations illuminate different characteristics and provide opportunities to solve equations, and they should be able to use technology (e.g., graphing utilities) to verify algebraic solutions as well as solve any equation involving those functions. Math Analysis SOLs that extend these concepts are integrated into the units including conics. The graphing of trigonometry functions, sine, cosine, and tangent, extend students' understanding of trigonometric ratios to continuous functions, and include the analysis of the key characteristics of these functions.
Savvas enVision Algebra 2 Family Resources
Topic 1 focuses on extending students’ previous knowledge of functions. Students identify the key features of functions and understand how to interpret graphs of functions. Students learn methods for solving equations and inequalities and systems of linear equations and inequalities by using graphing and tables.
Standards Covered: A2.EI.1, A2.F.2 (piecewise-defined functions), MA.FR.3, MA.CF.1 (absolute value, piecewise-defined, and step functions)
Topic 2 focuses on extending previous understanding of quadratic functions. Students identify different forms of quadratic functions and their key features. Students explore complex numbers and solve problems with complex numbers. Students learn different methods for solving quadratic equations. Students extend their factoring methods to include different of squares and perfect square trinomials. In this course, students extend their understanding of transformations of quadratics to include horizontal translations and horizontal dilations.
Standards Covered: A2.EO.3, A2.EO.4, A2.EI.2, A2.EI.3, A2.F.2 (quadratic functions), MA.CF.1 (quadratic functions)
Topic 3 focuses on extending students’ previous knowledge of polynomials. Students identify the key features of polynomial functions and interpret graphs of polynomial functions. They learn methods to add, subtract, multiply, and divide polynomial expressions. They use polynomial identities to multiply and factor polynomial expressions, use multiple theorems as tools to understand the roots of polynomial functions, and transform graphs from cubic or quartic parent functions.
Standards Covered: A2.EO.3, A2.EI.6, A2.F.2 (polynomial functions), MA.CF.1 (polynomial functions)
Unit/Topic 4 focuses on extending students’ previous knowledge of polynomial functions to rational functions. Students identify the key features of the graphs of rational functions. Students learn methods of solving rational equations.
Standards Covered: A2.EO.1, A2.EI.4, A2.F.1 (rational functions), A2.F.2 (rational functions), MA.CF.1 (rational functions)
Topic 5 extends knowledge of radical functions. Students understand properties of rational exponents and radicals. They learn methods to graph radical functions, solve radical equations, and combine functions. Students identify inverses of functions and learn to write the equations of inverse functions.
Standards Covered: A2.EO.2, A2.EI.5, A2.F.1 (square and cube root functions), A2.F.2 (square root, cube root, and piecewise-defined functions), MA.CF.1 (piecewise-defined and radical functions), MA.FR.1
Unit/Topic 6 focuses on extending previous understanding of exponential functions. Students understand logarithms and their properties. Students learn how to solve exponential and logarithmic equations.
Standards Covered: A2.F.1 (exponential and logarithmic functions), A2.F.2 (exponential and logarithmic functions), A2.ST.2cdefgh, MA.FR.2
Unit/Topic 6 focuses on extending previous understanding of exponential functions. Students understand logarithms and their properties. Students learn how to solve exponential and logarithmic equations.
Standards Covered: A2.F.1 (exponential and logarithmic functions), A2.F.2 (exponential and logarithmic functions), A2.ST.2cdefgh, MA.FR.2
Topic 9 focuses on extending students’ previous knowledge of second-degree equations and their graphs. Students learn methods for deriving the equations of conic sections. Students understand the key features of the graphs of conic sections. Students learn methods to classify second-degree equations.
Standards Covered: MA.AG.1
Topic 11 focuses on the comparison of statistical data. Students identify statistical questions and types of statistical studies. They understand that data distributions can be normal and skewed and sample statistics can be used to estimate population parameters. Students learn methods to explain where data values fall within a population and use statistical data to compare groups.
Standards Covered: A2.ST.1, A2.ST.2, A2.ST.3
Topic 11 focuses on the comparison of statistical data. Students identify statistical questions and types of statistical studies. They understand that data distributions can be normal and skewed and sample statistics can be used to estimate population parameters. Students learn methods to explain where data values fall within a population and use statistical data to compare groups.
Standards Covered: A2.ST.1, A2.ST.2, A2.ST.3
Topic focuses on extending knowledge to functions to trigonometric functions. Students extend what they have learned about trigonometric functions in right triangles to any real number angles, focusing on the connections between the trigonometric values and the unit circle. They learn to graph trigonometric functions and identify the key features of the graphs. Students learn methods to solve problems using trigonometric functions.
Standards Covered: A2.ST.1, A2.ST.2, A2.ST.3
Through the use of open-source technology tools, students will identify and explore problems that involve the use of relational database concepts and data-intensive computing to find solutions and make generalizations. Students will engage in a data science problem-solving structure to interact with large data sets as a means to formulate problems, collect and clean data, visualize data, model using data, and communicate effectively about data-formulated solutions.
In this unit, students will be introduced to the foundational concepts of data science through a framework of storytelling. By exploring stories told by data visualizations and how it relates to their own lives, students will learn how to critically examine questions in different parts of society and make informed decisions through the lens of a data scientist. They will learn the characteristics of which questions lend themselves to data science. Additionally, students will explore bias, implication, and issues of producing and consuming data.
Standards Covered: DS.1, DS.2, DS.3, DS.4, DS.5, DS.7
In this unit, students build on prior knowledge with opportunities to interpret graphical representations of data and to generate visualizations of their own with a focus on univariate data. These may include conventional statistical charts to unconventional/emerging data visualizations to more complex visualizations to learn to understand, inquire about, compare, interpret, and communicate both visualizations they are familiar with and those that may be novel. By working with visualizations, students will discover relationships between observations of different data sets and visualizations of the same data set, recognize patterns and trends exposed by visualizations, and assess the level of uncertainty.
Standards Covered: DS.2, DS.6, DS.8, DS.10, DS.11, DS.12
In this unit, students will explore the concept of bivariate data and how it can be used to model relationships between two variables. They will learn how to collect, represent, and analyze bivariate data using scatter plots, correlation coefficients, and lines and curves of best fit. The unit will also cover different types of relationships and how to interpret these relationships in context. Students will engage in hands-on activities, using technology and real-world data sets to enhance their understanding and apply their skills in modeling and interpreting bivariate relationships.
Standards Covered: DS.1, DS.2, DS.4, DS.6, DS.9, DS.10, DS.11
In this unit, students will explore big data and look at scenarios with multiple data sets. They will understand how data scientists use big data to build data trust across an organization. They will also analyze the reliability of a data source and assess processing source data for reliability based on various factors. Students will study ways to gather data and use matrices, along with technology, to organize the data. Once the data is organized, students will be able to manipulate it for presentation, make calculations to summarize it, and present the results in a clear and concise manner.
Standards Covered: DS.1, DS.2, DS.6, DS.7, DS.8, DS.9, DS.12
In this unit, students will explore the fundamentals of data analysis using Python, starting from loading and exploring datasets to perform complete data analyses. They will learn how to clean and prepare data by handling missing values, correcting data types, and ensuring data consistency. Students will analyze the reliability of data sources, perform exploratory data analysis, and use visualization techniques to uncover patterns and trends. By the end of the unit, students will be able to apply these skills to create customized visualizations, build basic models to interpret relationships, and communicate findings clearly for specific audiences.
Standards Covered: DS.6, DS.7, DS.8, DS.10, DS.12
In this unit, students will explore the concept of multivariate data and how it is used to model relationships between three or more variables. They will learn how to represent and analyze multivariate data using visualizations such as 3-D scatter plots, bubble charts, heat maps, and other emerging data visualizations. Students will also examine how these relationships can be interpreted and communicated effectively, focusing on the importance of selecting the right type of visualization for different data sets. Throughout the unit, students will engage in hands-on activities, working with contextual situation datasets to construct, interpret, and critique a variety of multivariate visualizations, enhancing their ability to tell data-driven stories and gain deeper insights from complex datasets.
Standards Covered: DS.10
In this unit, students will use the skills and concepts learned throughout the course to complete a comprehensive data science project. They will tackle real-world problems with potential future impacts, starting with refining problem statements and formulating measurable questions or hypotheses. Students will design ethical data collection plans that address potential biases, analyze datasets to uncover patterns and trends, and use modeling techniques to test hypotheses and draw actionable conclusions. Students will focus on creating effective visualizations and crafting compelling data narratives to communicate their findings. By the end of the unit, students will deliver polished presentations showcasing their projects, reflecting on the impact of their work and the broader role of data science in addressing real-world challenges.
Standards Covered: DS.1, DS.2, DS.3, DS.5
In this unit, students will explore statistical models and their applications, focusing on identifying and testing appropriate distributions for data sets. Students will learn to use statistical distributions such as normal, binomial, and Poisson, and apply the concept of goodness-of-fit testing to evaluate how well these models describe observed data. Through hands-on activities, students will use conceptual datasets to make predictions, test hypotheses, and identify patterns. Emphasis will be placed on developing data literacy, critical thinking, and computational skills to support data-driven decision-making.
Standards Covered: DS.11
These instructional materials have been reviewed and approved for Mathematics instruction.
Supplemental Resource
Intervention Resource
| Course | Publisher/Distributor | Title |
|---|---|---|
| Statistics | Bedford, Freeman, and Worth | Statistics and Probability with Applications. 5th Edition. |
| Trigonometry | Pearson | Trigonometry |
| Trigonometry | Cengage | Trigonometry |
| Discrete Mathematics | Macmillan Learning | For all Practical Purposes |
| Discrete Mathematics | Pearson | Thinking Mathematically |
| Advanced Mathematics | Cengage | Algebra and Trigonometry |
| Advanced Mathematics | Pearson | Algebra and Trigonometry |
| Algebra 3/Trigonometry | Pearson | Precalculus, 2025 |
| Precalculus with Trig for AB, AP Precalculus | Pearson | Precalculus: Graphical, Numerical, Algebraic, 2024 AP Edition |
| AICE Mathematics 1, IB Math: Analysis and Approaches 1 SL, IB Math: Analysis and Approaches 1 HL | Cengage | Precalculus with Limits |
| AICE Mathematics 1, IB Math: Analysis and Approaches 1 SL, IB Math: Analysis and Approaches 1 HL | Cengage | Precalculus: Mathematics for Calculus |
| AP Calculus AB, AP Calculus BC | Pearson | Calculus, 2018 AP Edition |
| AICE Mathematics 2 and AICE Mechanics, IB Math: Analysis and Approaches 1 SL, IB Math: Analysis and Approaches 1 HL | Cengage Learning | Calculus: Early Transcendental Functions AP Edition |
| AICE Mathematics 2 and AICE Mechanics, IB Math: Analysis and Approaches 1 SL, IB Math: Analysis and Approaches 1 HL | Macmillan
(Bedford, Freeman, and Worth) |
Calculus for the AP Course |
| AP Statistics |
Bedford, Freeman, and Worth |
The Practice of Statistics for the AP Course. 7th Edition. |
| AP Computer Science A | Perfection Learning/Wiley | Big Java Early Objects 7th Edition |
| Advanced Computer Math | Pearson | Building Java Programs |
| AP Computer Science Principles, IB Computer Science SL and HL | Pearson | Building Java Programs |
| AP Computer Science Principles, IB Computer Science SL and HL | Skylight Publishing | Java Methods: Object-Oriented Programming and Data Structures |
| IB Computer Science SL and HL | Express Publishing | Core Computer Science: For the IB Diploma Program |
| IB Computer Science SL and HL | Express Publishing | Advanced Computer Science: For the IB Diploma Program |
| IB Computer Science SL and HL | McGraw Hill | Introduction to Programming with Java: A Problem Solving Approach, 2nd Edition |
| AP Computer Science Principles | Code.org | Computer Science Principles |
Mathematics resources to support your child at home.