• Math Curriculum  

Elementary

Kindergarten

  • Kindergarten Mathematics

    Yearly Overview and Scope and Sequence

    Quarter 1

    Counting, Comparing, and Representing Quantities

    Standards of Learning: K.1, K.2, K.3

    Quarter 2

    Noticing, Describing, and Creating Patterns

    Standards of Learning: K.12, K.13

    Using Attributes to Compare, Sort, and Order

    Standards of Learning: K.10

    Quarter 3

    Using Whole Numbers to Measure and Describe My World

    Standards of Learning: K.7, K.8, K.9

    Using Data to Describe My World

    Standards of Learning: K.11

    Quarter 4

    Understanding Number Relationships and Solving Problems

    Standards of Learning: K.4, K.5, K.6

     

     VDOE Process Goals

    • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
    • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
    • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
    • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
    • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

1st Grade

  • Grade 1 Mathematics

    Textbook: Go Math!

    Grade 1 2016 Mathematics Standards of Learning & Curriculum Framework

    VDOE Mathematics Instructional Plans (Sample Lesson Plans)

     

    Yearly Overview Scope and Sequence

    Quarter 1

    Counting, Comparing, and Representing Quantities

    Standards of Learning: 1.1, 1.2, 1.3, 1.5

    Quarter 2

    Using Attributes to Compare, Sort, 

    and Order

    Standards of Learning: 1.11, 1.13

    Using Data to Describe My World

    Standards of Learning: 1.12

    Noticing, Describing, and 

    Creating Patterns

    Standards of Learning: 1.14

    Quarter 3

    Using Whole Numbers to Measure and Describe My World

    Standards of Learning: 1.8, 1.9, 1.10

    Quarter 4

    Understanding and Using Number Relationships to Solve Problems

    Standards of Learning: 1.6, 1.7, 1.15

    Understanding Parts of a Whole

    Standards of Learning: 1.4

     

     VDOE Process Goals

    • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
    • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
    • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
    • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
    • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

2nd Grade

  • Grade 2 Mathematics

    Textbook: Go Math!

    Grade 2 2016 Mathematics Standards of Learning & Curriculum Framework

    VDOE Mathematics Instructional Plans (Sample Lesson Plans)

    Yearly Overview Scope and Sequence

    Quarter 1

    Determining and Representing Quantities

    Standards of Learning: 2.1a, 2.2, 2.3

    Identifying, Comparing, and Ordering Quantities

    Standards of Learning: 2.1bcd

    Quarter 2

    Developing Computational Fluency and Solving Problems

    Standards of Learning: 2.5, 2.6, 2.17

    Quarter 3

    Noticing, Describing, and Creating Patterns

    Standards of Learning: 2.16

    Using Data to Describe 

    My World

    Standards of Learning: 2.14, 2.15

    Naming, Representing and Comparing Parts of a Whole

    Standards of Learning: 2.4

    Quarter 4

    Using Measurement to Describe My World

    Standards of Learning: 2.7, 2.8, 2.9, 2.10, 2.11

    Describing the Figures in My World

    Standards of Learning: 2.12, 2.13

     

     VDOE Process Goals

    • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
    • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
    • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
    • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
    • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

     

3rd Grade

  • Grade 3 Mathematics

    Textbook: Go Math!

    Grade 3 2016 Mathematics Standards of Learning & Curriculum Framework

    VDOE Mathematics Instructional Plans (Sample Lesson Plans)

    Yearly Overview Scope and Sequence

    Quarter 1

    Using Place Value to Compare/Order Numbers

    Standards of Learning: 3.1

    Solving Addition/Subtraction Problems with Whole Numbers

    Standards of Learning: 3.3, 3.16, 3.17

    Quarter 2

    Using Data to Describe My World 

    SOL: 3.14, 3.15

    Solving Problems using Multiplication and Division

    Standards of Learning: 3.4

    Quarter 3

    Using Measurement to Describe My World

    Standards of Learning: 3.7, 3.8, 3.9, 3.10

    Problem Solving Using Money

    SOL: 3.6

    Using Fractions to Describe Quantities

    Standards of Learning: 3.2, 3.5

    Quarter 4

    Using Fractions to Describe Quantities

    (Continued from Quarter 3)

    Using Geometry to Describe My World

    SOL: 3.11

    Composing and Decomposing Using Polygons

    Standards of Learning: 3.12, 3.13

     

     VDOE Process Goals

    • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
    • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
    • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
    • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
    • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

     

4th Grade

  • Grade 4 Mathematics

    Textbook: Go Math!

    Grade 4 2016 Mathematics Standards of Learning & Curriculum Framework

    VDOE Mathematics Instructional Plans (Sample Lesson Plans)

     

    Yearly Overview Scope and Sequence

    Quarter 1

    Using Place Value to Compare and Order 

    Whole Numbers Standards of Learning: 4.1

    Solving Problems with Whole Numbers

    Standards of Learning: 4.4, 4.15, 4.16

    Quarter 2

    Connecting Fractions and Decimals Standards of Learning: 4.2, 4.3

    Solving Problems with Fractions 

    and Decimals Standards of Learning: 4.5, 4.6

    Quarter 3

    Solving Problems with Fractions and Decimals (Continued from Quarter 2)

    Using Geometry to Describe My World Standards of Learning: 4.10, 4.11, 4.12

    Quarter 4

    Using Measurement to Describe My World Standards of Learning: 4.7, 4.8, 4.9

    Using Data and Probability to Describe My World Standards of Learning: 4.13, 4.14

     

    VDOE Process Goals

    • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
    • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
    • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
    • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
    • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

     

5th Grade

  • Grade 5 Mathematics

    Textbook: Go Math!

    Grade 5 2016 Mathematics Standards of Learning & Curriculum Framework

    VDOE Mathematics Instructional Plans (Sample Lesson Plans)

    Yearly Overview Scope and Sequence

    Quarter 1

    Applying Whole Number Characteristics and Operations

    Standards of Learning: 5.3, 5.4, 5.7

    Using Fraction and Decimal Connections to Problem Solve

    Standards of Learning: 5.1, 5.2, 5.5, 5.6

    Quarter 2

    Using Fraction and Decimal Connections to Problem Solve

    (Continued from Quarter 1)

    Representing and Interpreting Data

    Standards of Learning:  5.15, 5.16, 5.17

    Quarter 3

    Investigating Patterns, Expressions, and Equations

    Standards of Learning: 5.18, 5.19

    Investigating Two-Dimensional Geometry

    Standards of Learning: 5.10, 5.12, 5.13, 5.14

    Quarter 4

    Using Measurement to Describe My World

    Standards of Learning: 5.8, 5.9, 5.11

     

     VDOE Process Goals

    • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
    • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
    • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
    • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
    • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

     


      Middle School

      • Math 6

        Math 6Full description in the Program of Studies

        Grade(s): 6

        Textbook: Envision Math 2.0 Grade 6

        Grade 6 2016 Mathematics Standards of Learning & Curriculum Framework

        VDOE Mathematics Instructional Plans (Sample Lesson Plans)

        Yearly Overview Scope and Sequence 

        Quarter

        1

        Applying Integers Concepts and Operations

        Standards of Learning: 6.3, 6.4, 6.6, 6.8

        Quarter

        2

        Using Fraction, Decimal, and Percent Connections and Operations

         6.2, 6.5

        Quarter

        3

        Solving Problems with Proportional Reasoning

        Standards of Learning: 6.1, 6.12

        Representing and Solving Equations

        Standards of Learning: 6.13, 6.14

        Quarter

        4

        Solving Problems with Two Dimensional Geometry

        Standards of Learning: 6.7, 6.9

        Representing and Interpreting Data

        Standards of Learning: 6.10, 6.11

        VDOE Process Goals

        • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
        • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
        • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
        • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
        • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

      • Foundations of Algebra

        Foundations of Algebra

        Full description in the Program of Studies

        Grade(s): 6, 7

        Textbook: Envision Math 2.0 Grade 7

        Grade 7 2016 Mathematics Standards of Learning & Curriculum Framework

        VDOE Mathematics Instructional Plans (Sample Lesson Plans)

        Yearly Overview Scope and Sequence

        Quarter

        1

        Applying Rational Numbers

        Standards of Learning: 7.1, 7.2

        Quarter

        2

        Solving Algebraic Expressions, Equations, and Inequalities

        Standards of Learning: 7.11, 7.12, 7.13 

        Using Proportional Reasoning and 

        Linear Functions

         Standards of Learning: 7.3, 7.10

        Quarter

        3

        Using Proportional Reasoning and Linear Functions

        (Continued from Quarter 2)

        Representing Data with Histograms and 

        Determining Probability

        Standards of Learning: 7.8, 7.9

        Quarter

        4

        Solving Problems Involving Two- and Three-Dimensional Geometry

        Standards of Learning: 7.4, 7.5, 7.6, 7.7

        VDOE Process Goals

        • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
        • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
        • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
        • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
        • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

      • Foundations of Algebra

        Foundations of Algebra

        Full description in the Program of Studies

        Grade(s): 6, 7

        Textbook: Envision Math 2.0 Grade 7

        Grade 7 2016 Mathematics Standards of Learning & Curriculum Framework

        VDOE Mathematics Instructional Plans (Sample Lesson Plans)

        Yearly Overview Scope and Sequence

        Quarter

        1

        Applying Rational Numbers

        Standards of Learning: 7.1, 7.2

        Quarter

        2

        Solving Algebraic Expressions, Equations, and Inequalities

        Standards of Learning: 7.11, 7.12, 7.13 

        Using Proportional Reasoning and 

        Linear Functions

         Standards of Learning: 7.3, 7.10

        Quarter

        3

        Using Proportional Reasoning and Linear Functions

        (Continued from Quarter 2)

        Representing Data with Histograms and 

        Determining Probability

        Standards of Learning: 7.8, 7.9

        Quarter

        4

        Solving Problems Involving Two- and Three-Dimensional Geometry

        Standards of Learning: 7.4, 7.5, 7.6, 7.7

        VDOE Process Goals

        • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
        • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
        • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
        • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
        • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

      • Pre-Algebra

        Pre-Algebra

        Full description in the Program of Studies

        Grade(s): 7, 8

        Textbook: Envision Math 2.0 Grade 8

        Grade 8 2016 Mathematics Standards of Learning & Curriculum Framework

        VDOE Mathematics Instructional Plans (Sample Lesson Plans)

        Yearly Overview Scope and Sequence

        Quarter

        1

        Applying Real Numbers

         Standards of Learning: 8.1, 8.2, 8.3, 8.4

        Solving Algebraic Expressions  

        and Equations

        Standards of Learning: 8.14, 8.17, 8.18

        Quarter

        2

        Solving Algebraic Expressions and Equations

        (Continued from Quarter 1)

        Investigating Linear Functions

        Standards of Learning: 8.15, 8.16

        Quarter

        3

        Exploring Angle Relationships and the Pythagorean Theorem

        Standards of Learning: 8.5, 8.9

        Investigating Area, Perimeter, Volume, Surface Area and Transformations

        Standards of Learning: 8.6, 8.7, 8.8, 8.10

        Quarter

        4

        Finding Probability of Independent and Dependent Events

        Standards of Learning: 8.11

        Representing and Interpreting Data with Boxplots and Scatterplots

        Standards of Learning: 8.12, 8.13

        VDOE Process Goals

        • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  

        • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  

        • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  

        • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  

        • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

      • Introduction to Computer Science

        Introduction to Computer Science

        Full description in the Program of Studies

        Grade(s): 7, 8

        Middle School Computer Science (MSCE) Course Standards and Curriculum Framework

        Yearly Overview:

        Quarter

         1

        Impacts of Computing

        Standard of Learning: MSCSE.6

        Computing Systems

        Standard of Learning: MSCSE.19

        Networks & The Internet Standard of Learning: MSCSE.10

        Tradeoffs of Technologies

        Standard of Learning: MSCSE.16

        Hardware & Software

        Standard of Learning: 

        MSCSE.20

        Quarter

        2

        Public & Private Info

        Standard of Learning: MSCSE.18

        Algorithms & Programming

        Standards of Learning: MSCSE.1, 4, 7, 8, & 9
        Functions with Parameters Standard of Learning: MSCSE.22 and 23 Inputs & Outputs Standard of Learning: MSCSE.3

        Quarter

        3

        Variables, Data Types, Operations on Strings Standard of Learning: MSCSE.2

        Data Collection/Useful & Reliable Data

        Standards of Learning: MSCSE.13 & 25
        Refine Models from Data Standard of Learning: MSCSE.14 Representing Data Standard of Learning: MSCSE.15

        Quarter

        4

        Bias & Accessibility Standards of Learning: MSCSE.5 & 24

        Cybersecurity

        Standard of Learning: MSCSE.12
        Types of Data Encryption Standard of Learning: MSCSE.11

        Benefits & Risks of Crowdsourcing

        Standard of Learning: MSCSE.17

         VDOE Process Goals

        • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
        • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
        • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
        • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
        • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

      • Computer Science Foundations

        Computer Science Foundations

        Full description in the Program of Studies

        Grade(s): 7, 8

        Computer Science Foundations Course Standards and Curriculum Framework

        Yearly Overview:

        Quarter 1

        Network Protocols

        Standards of Learning: CSF.2, 3, & 4

        Web Development (HTML & CSS)

        Standards of Learning: CSF.12, 13, 14, 15, 16, & 17

        Quarter 2

        Codesters Grade 8 Python

        Standards of Learning: CSF.12, 13, 14, 15, 16, 17, 18, 19, 20 & 21

        Computing Systems

        Standards of Learning: CSF.1

        Quarter 3

        Data & Analysis

        Standards of Learning: CSF.9, 10, & 11

        JavaScript

        Standards of Learning: CSF.12, 13, 14, 15, 16, 17, 18, 19, 20 & 21

        Cybersecurity

        Standards of Learning: CSF.5, 6, 7, & 8

        Quarter 4

        Machine Learning

        Standards of Learning: CSF.1, 12, 13, 14, 15, 16, 17, 18, 19, 20 & 21

        Impact of Computing

        Standards of Learning: CSF.22, 23, 24, & 25

         VDOE Process Goals

        • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
        • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
        • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
        • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
        • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

      • Pre-Algebra

        Pre-Algebra

        Full description in the Program of Studies

        Grade(s): 7, 8

        Textbook: Envision Math 2.0 Grade 8

        Grade 8 2016 Mathematics Standards of Learning & Curriculum Framework

        VDOE Mathematics Instructional Plans (Sample Lesson Plans)

        Yearly Overview Scope and Sequence

        Quarter

        1

        Applying Real Numbers

         Standards of Learning: 8.1, 8.2, 8.3, 8.4

        Solving Algebraic Expressions  

        and Equations

        Standards of Learning: 8.14, 8.17, 8.18

        Quarter

        2

        Solving Algebraic Expressions and Equations

        (Continued from Quarter 1)

        Investigating Linear Functions

        Standards of Learning: 8.15, 8.16

        Quarter

        3

        Exploring Angle Relationships and the Pythagorean Theorem

        Standards of Learning: 8.5, 8.9

        Investigating Area, Perimeter, Volume, Surface Area and Transformations

        Standards of Learning: 8.6, 8.7, 8.8, 8.10

        Quarter

        4

        Finding Probability of Independent and Dependent Events

        Standards of Learning: 8.11

        Representing and Interpreting Data with Boxplots and Scatterplots

        Standards of Learning: 8.12, 8.13

        VDOE Process Goals

        • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  

        • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  

        • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  

        • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  

        • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

      • Introduction to Computer Science

        Introduction to Computer Science

        Full description in the Program of Studies

        Grade(s): 7, 8

        Middle School Computer Science (MSCE) Course Standards and Curriculum Framework

        Yearly Overview:

        Quarter

         1

        Impacts of Computing

        Standard of Learning: MSCSE.6

        Computing Systems

        Standard of Learning: MSCSE.19

        Networks & The Internet Standard of Learning: MSCSE.10

        Tradeoffs of Technologies

        Standard of Learning: MSCSE.16

        Hardware & Software

        Standard of Learning: 

        MSCSE.20

        Quarter

        2

        Public & Private Info

        Standard of Learning: MSCSE.18

        Algorithms & Programming

        Standards of Learning: MSCSE.1, 4, 7, 8, & 9

        Functions with Parameters Standard of Learning: MSCSE.22 and 23

        Inputs & Outputs Standard of Learning: MSCSE.3

        Quarter

        3

        Variables, Data Types, Operations on Strings Standard of Learning: MSCSE.2

        Data Collection/Useful & Reliable Data Standards of Learning: MSCSE.13 & 25

        Refine Models from Data Standard of Learning: MSCSE.14

        Representing Data Standard of Learning: MSCSE.15

        Quarter

        4

        Bias & Accessibility Standards of Learning: MSCSE.5 & 24

        Cybersecurity Standard of Learning: MSCSE.12

        Types of Data Encryption Standard of Learning: MSCSE.11

        Benefits & Risks of Crowdsourcing

        Standard of Learning: MSCSE.17

         VDOE Process Goals

        • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
        • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
        • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
        • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
        • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

      • Computer Science Foundations

        Computer Science Foundations

        Full description in the Program of Studies

        Grade(s): 7, 8

        Computer Science Foundations Course Standards and Curriculum Framework

        Yearly Overview:

        Quarter 1

        Network Protocols

        Standards of Learning: CSF.2, 3, & 4

        Web Development (HTML & CSS)

        Standards of Learning: CSF.12, 13, 14, 15, 16, & 17

        Quarter 2

        Codesters Grade 8 Python

        Standards of Learning: CSF.12, 13, 14, 15, 16, 17, 18, 19, 20 & 21

        Computing Systems

        Standards of Learning: CSF.1

        Quarter 3

        Data & Analysis

        Standards of Learning: CSF.9, 10, & 11

        JavaScript

        Standards of Learning: CSF.12, 13, 14, 15, 16, 17, 18, 19, 20 & 21

        Cybersecurity

        Standards of Learning: CSF.5, 6, 7, & 8

        Quarter 4

        Machine Learning

        Standards of Learning: CSF.1, 12, 13, 14, 15, 16, 17, 18, 19, 20 & 21

        Impact of Computing

        Standards of Learning: CSF.22, 23, 24, & 25

         VDOE Process Goals

        • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
        • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
        • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
        • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
        • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)


          High School

          • Algebra I

            Algebra I

            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Envision AGA Algebra I

            Algebra I 2016 Mathematics Standards of Learning & Curriculum Framework

            VDOE Mathematics Instructional Plans (Sample Lesson Plans)

            Yearly Overview Scope and Sequence 

            Quarter

             1

            Solving Algebraic Expressions & Equations

            Standards of Learning: A.1, A4.ace

            Investigating Linear Functions 

            Standards of Learning: A.4de, A.6, A.7

            Quarter

            2

            Investigating Linear Functions

            (Continued from Quarter 1)

            Investigating Linear Inequalities

            Standard of Learning: A.5

            Quarter

            3

            Simplifying Expressions with Exponents and Radicals

            Standards of Learning: A.2a, A.3

            Applying Polynomials Operations

            Standard of Learning: A.2bc

            Quarter

            4

            Investigating Quadratic Functions 

            Standards of Learning: A.4be A.7

            Representing and Interpreting Bi-Variate Data

            Standards of Learning: A.8, A.9

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Algebra II

            Algebra IIFull description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Envision AGA Algebra II

            Algebra II 2016 Mathematics Standards of Learning & Curriculum Framework

            VDOE Mathematics Instructional Plans (Sample Lesson Plans)

            Yearly Overview Scope and Sequence

            Quarter

             1

            Exploring Functions Graphically

            Standards of Learning: AII.7, AII.6

            Absolute Value Functions

            Standards of Learning: AII.7a-h, k, AII.3a

            Quadratic Functions

            Standards of Learning: AII.2, AII.3b, AII.4, AII.7a-h, j-k, AII.9

            Quarter

            2

            Quadratic Functions

            (Continued from Quarter 1)

            Polynomial Functions

            Standards of Learning: AII.1c, AII.7a-h, j-k, AII.8

            Quarter

            3

            Rational Functions

            Standards of Learning: AII.1a, AII.3c,  AII.7 a, c-i, k, AII.10
            Radical Functions Standards of Learning: AII.1b, AII.3d, AII.7 a-h, j-k

            Quarter

            4

            Exponential Functions Standards of Learning: AII.5, AII.7 a-i, k, AII.9

            Investigating Statistics and Probability

            Standards of Learning: AII.11, AII.12

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Algebra II with Trigonometry

            Algebra II with Trigonometry
            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Pearson Envision Algebra II and Lial Trigonometry

            2016 Mathematics Standards of Learning & Curriculum Framework

            VDOE Mathematics Instructional Plans (Sample Lesson Plans)

            Yearly Overview Scope and Sequence

            Quarter

             1

            Exploring Functions Graphically

            Standards of Learning: AII.6, AII.7

            Absolute Value Functions

            Standards of Learning: ALL.3a, AII.7a-h, k 

            Quadratic Functions

            Standards of Learning: AII.2, AII.3b, AII.4, AII.7a-h, j-k, AII.9

            Quarter

            2

            Polynomial Functions

            Standards of Learning: AII.1c, AII.7a-h, j-k, AII.8

            Rational Functions

            Standards of Learning: AII.1a, AII.3c, AII.7a, c-i, k, AII.10
            Radical Functions Standards of Learning: AII.1b, AII.3d, AII.7 a-h,j-k

            Quarter

            3

            Exponential Functions

            Standards of Learning: AII.5, AII.7 a-i, k, AII.9

            Investigating Statistics and Probability

            Standards of Learning: AII.11, AII.12

            Trigonometric Functions

            Standards of Learning: T.1, T.2, T.3, T.4, T.7, T.9a

            Quarter

            4

            Trigonometric Functions

            (Continued from Quarter 3)

            Analytical Trigonometry

            Standards of Learning: T.5, T.6

            Applications of Trigonometry

            Standards of Learning: T.8, T.9b

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • AP Computer Science Principles

            AP Computer Science Principles
            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Code.orgAP Computer Science Principles Course and Exam Description Yearly Overview:

            Quarter

             1

            Unit 1: Digital Information

            Unit 2: The Internet

            Unit 3: Intro to App Design

            Unit 4: Variables, Conditionals, and Functions

            Quarter

            2

            Unit 5: Lists, Loops, and Traversals

            Unit 6: Algorithms

            Quarter

            3

            Unit 7: Parameters, Return, and Libraries

            Unit 8: Create Performance Task 

            Unit 9: Data

            Quarter

            4

            Unit 10: Cybersecurity and Global Impacts

            Extend Understanding and AP Exam Review/Practice

            Post AP Exam Project

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • AP Precalculus

            AP Precalculus

            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12

            AP Precalculus Course Framework

            Quarter

             1

            Unit 1*

            Polynominal and Rational Functions

            Unit 2*

            Exponential and Logarithmic Functions

            Quarter

            2

            Unit 2*

            Exponential and Logarithmic Functions (cont'd)

            Unit 3*

            Trigonometric and Polar Functions

            Quarter

            3

            Unit 3*

            Trigonometric and Polar Functions (cont'd)

            Unit 4

            Functions Involving Parameters, Vectors, and Matrices

            Quarter

            4

            Unit 4

            Functions Involving Parameters, Vectors, and Matrices (cont'd)

            Unit 5

            Limits

            Unit 6

            Differentiation

            * Units 1, 2, and 3 are assessed on the AP Precalculus Exam.

             

            AP Precalculus Mathematics Practices
            1. Procedural and Symbolic Fluency - Algebraic manipulate functions, equations and expressions.
            2. Multiple Representations - Translate mathematics information between representations.
            3. Communication and Reasoning - Communicate with precise language, and provide rationales for conclusions.
             VDOE Process Goals
            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • AP Statistics

            AP Statistics
            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: The Practice of Statistics 6eAP Statistics College Board Resources & Exam Information

            Yearly Overview Scope and Sequence

            Quarter

            1

            Unit 1: Exploring One-Variable Data

            Unit 2: Exploring Two-Variable Data

            Quarter

            2

            Unit 3: Collecting Data

            Unit 4: Probability, Random Variables, and Probability Distributions

            Quarter

            3

            Unit 5: Sampling Distributions

            Unit 6: Inference for Categorical Data (Proportions) & Quantitative Data (Means)

            Quarter

            4

            Unit 7: Inference for Categorical Data: Chi-Square

            Unit 8: Inference for Quantitative Data: Slopes

            Unit 9: Exploration

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Computer Mathematics

            Computer Mathematics
            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Big JavaComputer Mathematics Standards of Learning and Curriculum Framework

            Yearly Overview:

            Quarter

             1

            Classes and Objects

            Standards of Learning: COM.2, 7

            Methods and Inheritance

            Standards of Learning: COM.15 & 16

            Control Structures, Iteration, Algorithms, and Polymorphism

            Standards of Learning: COM.4, 8, & 13

            Quarter

            2

            Introduction to Arrays and Strings 

            Standards of Learning: COM.7, 13, & 14

            Graphics 

            Standards of Learning: COM.6, 7, 9, 11, 12, 13, & 14

            Quarter

            3

            Graphics and Animation

            Standards of Learning: COM.6, 7, 9, 11, 12, 13, & 14

            Mouse and Keyboard Input

            Standards of Learning: COM.10, 11, & 13

            Arrays and Graphics

            Standards of Learning: COM.7, 13, & 14

            Quarter

            4

            Graphical User Interface

            Standards of Learning: COM.1, 5, 10, & 11

            Standard Input and Output

            Standards of Learning: COM.10, 11, & 13

            Strings

            Standards of Learning: COM.7 & 13

            Interfaces and Abstract Classes

            Standards of Learning: COM.3, 5, 17, & 18

            Number Systems

            Standards of Learning: COM.4, 5, & 6

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Data Science

            Data Science

            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12

            LCPS Data Science Scope and Sequence

            VDOE Data Science Curriculum Maps

            Quarter

             1

            Data for All

            Standards of Learning: DS.1, DS.2, DS.3, DS.4, DS.5

            Data Visualization

            Standards of Learning: DS.5, DS.6, DS.8, DS.10, DS.12, DS.13

            Quarter

            2

            Data Visualization

            Standards of Learning: DS.5, DS.6, DS.7, DS.8, DS.10, DS.12, DS.13

            Semester Summative Project

            Project & Presentation

            Standards of Learning: DS.1, DS.2, DS.3, DS.4, DS.5, DS.6, DS.8, DS.10, DS.12, DS.13

            Quarter

            3

            Data Modeling & Prediction

            Standards of Learning: DS.7, DS.8, DS.9, DS.12, DS.13

            Quarter

            4

            Data Modeling & Prediction

            Standards of Learning: DS.7, DS.8, DS.9, DS.12, DS.13

            End-of-Course Student Project

            Standards of Learning: DS.1, DS.2, DS.3, DS.4, DS.5, DS.6, DS.7, DS.8, DS.9, DS.10, DS.11, DS.12, DS.13

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Functions, Algebra, and Data Analysis

            Functions, Algebra, and Data AnalysisFull description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Modeling with Mathematics: A Bridge to Algebra 2

            2016 Mathematics Standards of Learning & Curriculum Framework

            VDOE Mathematics Instructional Plans (Sample Lesson Plans)

            Yearly Overview Scope and Sequence

            Quarter

            1

            Linear Functions

            Standards of Learning: AFDA.1, AFDA.2, AFDA.3, AFDA.4

            Quadratic Functions

            Standards of Learning: AFDA.1, AFDA.2, AFDA.3, AFDA.4

            Quarter

            2

            Quadratic Functions

             (continued from Quarter 1)

            Exponential Functions

            Standards of Learning: AFDA.1, AFDA.2, AFDA.3, AFDA.4

            Quarter

            3

            Logarithmic Functions

            Standards of Learning: AFDA.1, AFDA.2, AFDA.4

            Linear Programming

            Standards of Learning: AFDA.5

            Quarter

            4

            Data Analysis & Probability

            Standards of Learning: AFDA.6, AFDA.7, AFDA.8

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Geometry

            GeometryFull description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Envision AGA Geometry

            2016 Mathematics Standards of Learning & Curriculum Framework

            VDOE Mathematics Instructional Plans (Sample Lesson Plans)

            Yearly Overview Scope and Sequence

            Quarter

             1

            Logic and Reasoning

             Standards of Learning: G.1

            Investigating Angle Relationships and Triangles

            Standards of Learning: G.2, G.4g, G.5

            Quarter

            2

            Exploring Similarity and Congruence

            Standards of Learning: G.3abd, G.4abcdef, G.6, G.

            Quarter

            3

            Applying Right Triangles 

            Standards of Learning: G.8

            Investigating Polygons 

            Standards of Learning: G.3ac, G.9, G.10

            Quarter

            4

            Investigating Relationships within Circles 

            Standards of Learning: G.4h, G.11, G.12 

            Applying Area, Perimeter, Surface Area, and Volume 

             Standards of Learning: G.13, G.14

            VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Math Analysis

            Math AnalysisFull description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Precalculus: Graphical, Numerical, Algebraic 10th edition

            Math Analysis  Standards of Learning & Curriculum Framework 

            Yearly Overview Scope and Sequence

            Quarter

             1

            Investigating Functions

            Standards of Learning: MA.1, MA.2, MA.3, MA.4, MA.5

            Quarter

            2

            Matrices and Conics

            Standards of Learning: MA.6, MA.11

            Analytical Geometry and Equations

            Standards of Learning: MA.7, MA.8, MA.9, MA.10

            Quarter

            3

            Sequences, Series, and Mathematical Induction

            Standards of Learning: MA.12, MA.13, MA.14

            Limits

            Quarter

            4

            Differentiation

            Applications of Derivatives

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Precalculus

            PrecalculusFull description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Precalculus: Graphical, Numerical, Algebraic 10th edition and Lial Trigonometry

            Trigonometry 2016 Mathematics Standards of Learning & Curriculum Framework

            Math Analysis 2016 Standards of Learning & Curriculum Framework

            Yearly Overview Scope and Sequence

            Quarter

             1

            Functions

            Standards of Learning: MA.1, MA.3, MA.4, MA.5

            Exponential and Logarithmic Functions

            Standards of Learning: MA.2, MA.4

            Quarter

            2

            Trigonometric Functions

            Standards of Learning: T.1, T.2, T.3, T.4, T.7, T.9a

            Quarter

            3

            Analytical Trigonometry

            Standards of Learning: T.5, T.6

            Geometric Applications

            Standards of Learning: T.8, T.9b

            Quarter

            4

            Matrices and Conics

            Standards of Learning: MA.6, MA.11

            Sequences and Series

            Standards of Learning: MA.12, MA.13, MA.14

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Algebra I

            Algebra I

            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Envision AGA Algebra I

            Algebra I 2016 Mathematics Standards of Learning & Curriculum Framework

            VDOE Mathematics Instructional Plans (Sample Lesson Plans)

            Yearly Overview Scope and Sequence 

            Quarter

             1

            Solving Algebraic Expressions & Equations

            Standards of Learning: A.1, A4.ace

            Investigating Linear Functions 

            Standards of Learning: A.4de, A.6, A.7

            Quarter

            2

            Investigating Linear Functions

            (Continued from Quarter 1)

            Investigating Linear Inequalities

            Standard of Learning: A.5

            Quarter

            3

            Simplifying Expressions with Exponents and Radicals

            Standards of Learning: A.2a, A.3

            Applying Polynomials Operations

            Standard of Learning: A.2bc

            Quarter

            4

            Investigating Quadratic Functions 

            Standards of Learning: A.4be A.7

            Representing and Interpreting Bi-Variate Data

            Standards of Learning: A.8, A.9

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Algebra II

            Algebra IIFull description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Envision AGA Algebra II

            Algebra II 2016 Mathematics Standards of Learning & Curriculum Framework

            VDOE Mathematics Instructional Plans (Sample Lesson Plans)

            Yearly Overview Scope and Sequence

            Quarter

             1

            Exploring Functions Graphically

            Standards of Learning: AII.7, AII.6

            Absolute Value Functions

            Standards of Learning: AII.7a-h, k, AII.3a

            Quadratic Functions

            Standards of Learning: AII.2, AII.3b, AII.4, AII.7a-h, j-k, AII.9

            Quarter

            2

            Quadratic Functions

            (Continued from Quarter 1)

            Polynomial Functions

            Standards of Learning: AII.1c, AII.7a-h, j-k, AII.8

            Quarter

            3

            Rational Functions

            Standards of Learning: AII.1a, AII.3c,  AII.7 a, c-i, k, AII.10
            Radical Functions Standards of Learning: AII.1b, AII.3d, AII.7 a-h, j-k

            Quarter

            4

            Exponential Functions Standards of Learning: AII.5, AII.7 a-i, k, AII.9

            Investigating Statistics and Probability

            Standards of Learning: AII.11, AII.12

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Algebra II with Trigonometry

            Algebra II with Trigonometry
            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Pearson Envision Algebra II and Lial Trigonometry

            Algebra II 2016 Mathematics Standards of Learning & Curriculum Framework

            VDOE Mathematics Instructional Plans (Sample Lesson Plans)

            Yearly Overview Scope and Sequence

            Quarter

             1

            Exploring Functions Graphically

            Standards of Learning: AII.6, AII.7

            Absolute Value Functions

            Standards of Learning: ALL.3a, AII.7a-h, k 

            Quadratic Functions

            Standards of Learning: AII.2, AII.3b, AII.4, AII.7a-h, j-k, AII.9

            Quarter

            2

            Polynomial Functions

            Standards of Learning: AII.1c, AII.7a-h, j-k, AII.8

            Rational Functions

            Standards of Learning: AII.1a, AII.3c, AII.7a, c-i, k, AII.10
            Radical Functions Standards of Learning: AII.1b, AII.3d, AII.7 a-h,j-k

            Quarter

            3

            Exponential Functions Standards of Learning: AII.5, AII.7 a-i, k, AII.9

            Investigating Statistics and Probability

            Standards of Learning: AII.11, AII.12

            Trigonometric Functions

            Standards of Learning: T.1, T.2, T.3, T.4, T.7, T.9a

            Quarter

            4

            Trigonometric Functions

            (Continued from Quarter 3)

            Analytical Trigonometry

            Standards of Learning: T.5, T.6

            Applications of Trigonometry

            Standards of Learning: T.8, T.9b

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • AP Computer Science A

            AP Computer Science A
            Full description in the Program of StudiesGrade(s): 10, 11, 12Textbook: Big JavaAP Computer Science A Course and Exam Description Yearly Overview:

            Quarter

             1

            Unit 1: Primitive Types

            Unit 2: Using Objects

            Unit 3: Boolean Expression and If Statements

            Unit 4: Iteration/Loops

            Unit 5: Writing Classes

            Quarter

            2

            Unit 6: Arrays

            Unit 7: ArrayLists

            Quarter

            3

            Unit 8: 2D Arrays

            Unit 9: Inheritance

            Unit 10: Recursion

            Quarter

            4

            Extend Understanding and AP Exam Review/Practice

            Post AP Exam Project

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • AP Computer Science Principles

            AP Computer Science Principles
            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Code.orgAP Computer Science Principles Course and Exam Description Yearly Overview:

            Quarter

             1

            Unit 1: Digital Information

            Unit 2: The Internet

            Unit 3: Intro to App Design

            Unit 4: Variables, Conditionals, and Functions

            Quarter

            2

            Unit 5: Lists, Loops, and Traversals

            Unit 6: Algorithms

            Quarter

            3

            Unit 7: Parameters, Return, and Libraries

            Unit 8: Create Performance Task 

            Unit 9: Data

            Quarter

            4

            Unit 10: Cybersecurity and Global Impacts

            Extend Understanding and AP Exam Review/Practice

            Post AP Exam Project

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • AP Precalculus

            AP Precalculus

            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12

            AP Precalculus Course Framework

            Quarter

             1

            Unit 1*

            Polynominal and Rational Functions

            Unit 2*

            Exponential and Logarithmic Functions

            Quarter

            2

            Unit 2*

            Exponential and Logarithmic Functions (cont'd)

            Unit 3*

            Trigonometric and Polar Functions

            Quarter

            3

            Unit 3*

            Trigonometric and Polar Functions (cont'd)

            Unit 4

            Functions Involving Parameters, Vectors, and Matrices

            Quarter

            4

            Unit 4

            Functions Involving Parameters, Vectors, and Matrices (cont'd)

            Unit 5

            Limits

            Unit 6

            Differentiation

            * Units 1, 2, and 3 are assessed on the AP Precalculus Exam.

             

            AP Precalculus Mathematics Practices
            1. Procedural and Symbolic Fluency - Algebraic manipulate functions, equations and expressions.
            2. Multiple Representations - Translate mathematics information between representations.
            3. Communication and Reasoning - Communicate with precise language, and provide rationales for conclusions.
             VDOE Process Goals
            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • AP Statistics

            AP Statistics
            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: The Practice of Statistics 6eAP Statistics College Board Resources & Exam Information Yearly Overview Scope and Sequence 

            Quarter

             1

            Unit 1: Exploring One-Variable Data

            Unit 2: Exploring Two-Variable Data

            Quarter

            2

            Unit 3: Collecting Data

            Unit 4: Probability, Random Variables, and Probability Distributions

            Quarter

            3

            Unit 5: Sampling Distributions

            Unit 6: Inference for Categorical Data (Proportions)
            & Quantitative Data (Means)

            Quarter

            4

            Unit 7: Inference for Categorical Data: Chi-Square

            Unit 8: Inference for Quantitative Data: Slopes

            Unit 9: Exploration

            VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Computer Mathematics

            Computer Mathematics
            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Big JavaComputer Mathematics Standards of Learning and Curriculum Framework Yearly Overview:

            Quarter

             1

            Classes and Objects

            Standards of Learning: COM.2, 7

            Methods and Inheritance

            Standards of Learning: COM.15 & 16

            Control Structures, Iteration, Algorithms, and Polymorphism

            Standards of Learning: COM.4, 8, & 13

            Quarter

            2

            Introduction to Arrays and Strings 

            Standards of Learning: COM.7, 13, & 14

            Graphics 

            Standards of Learning: COM.6, 7, 9, 11, 12, 13, & 14

            Quarter

            3

            Graphics and Animation

            Standards of Learning: COM.6, 7, 9, 11, 12, 13, & 14

            Mouse and Keyboard Input

            Standards of Learning: COM.10, 11, & 13

            Arrays and Graphics

            Standards of Learning: COM.7, 13, & 14

            Quarter

            4

            Graphical User Interface

            Standards of Learning: COM.1, 5, 10, & 11

            Standard Input and Output

            Standards of Learning: COM.10, 11, & 13

            Strings

            Standards of Learning: COM.7 & 13

            Interfaces and Abstract Classes

            Standards of Learning: COM.3, 5, 17, & 18

            Number Systems

            Standards of Learning: COM.4, 5, & 6

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Data Science

            Data Science

            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12

            LCPS Data Science Scope and Sequence

            VDOE Data Science Curriculum Maps

            Quarter

             1

            Data for All

            Standards of Learning: DS.1, DS.2, DS.3, DS.4, DS.5

            Data Visualization

            Standards of Learning: DS.5, DS.6, DS.8, DS.10, DS.12, DS.13

            Quarter

            2

            Data Visualization

            Standards of Learning: DS.5, DS.6, DS.7, DS.8, DS.10, DS.12, DS.13

            Semester Summative Project

            Project & Presentation

            Standards of Learning: DS.1, DS.2, DS.3, DS.4, DS.5, DS.6, DS.8, DS.10, DS.12, DS.13

            Quarter

            3

            Data Modeling & Prediction

            Standards of Learning: DS.7, DS.8, DS.9, DS.12, DS.13

            Quarter

            4

            Data Modeling & Prediction

            Standards of Learning: DS.7, DS.8, DS.9, DS.12, DS.13

            End-of-Course Student Project

            Standards of Learning: DS.1, DS.2, DS.3, DS.4, DS.5, DS.6, DS.7, DS.8, DS.9, DS.10, DS.11, DS.12, DS.13

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Discrete Mathematics

            Discrete MathematicsFull description in the Program of StudiesGrade(s): 10, 11, 12Textbook: Virginia Discrete Mathematics (coming soon)Discrete Math Standards of Learning & Curriculum Framework Yearly Overview Scope and Sequence

            Quarter

             1

            Elections

            DM.6

            Fair Division

            DM.5

            Quarter

            2

            Graph Theory

            DM.1, DM.2, DM.3

            Logic

            DM.9

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Functions, Algebra, and Data Analysis

            Functions, Algebra, and Data AnalysisFull description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Modeling with Mathematics: A Bridge to Algebra 2

            Algebra, Functions, and Data Analysis 2016 Mathematics Standards of Learning & Curriculum Framework

            VDOE Mathematics Instructional Plans (Sample Lesson Plans)

            Yearly Overview Scope and Sequence

            Quarter

            1

            Linear Functions Standards of Learning: AFDA.1, AFDA.2, AFDA.3, AFDA.4

            Quadratic Functions

            Standards of Learning: AFDA.1, AFDA.2, AFDA.3, AFDA.4

            Quarter

            2

            Quadratic Functions

             (continued from Quarter 1)

            Exponential Functions

            Standards of Learning: AFDA.1, AFDA.2, AFDA.3, AFDA.4

            Quarter

            3

            Logarithmic Functions

            Standards of Learning: AFDA.1, AFDA.2, AFDA.4

            Linear Programming

            Standards of Learning: AFDA.5

            Quarter

            4

            Data Analysis & Probability

            Standards of Learning: AFDA.6, AFDA.7, AFDA.8

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Geometry

            GeometryFull description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Envision AGA Geometry

            Geometry 2016 Mathematics Standards of Learning & Curriculum Framework

            VDOE Mathematics Instructional Plans (Sample Lesson Plans)

            Yearly Overview Scope and Sequence

            Quarter

             1

            Logic and Reasoning

             Standards of Learning: G.1

            Investigating Angle Relationships and Triangles

            Standards of Learning: G.2, G.4g, G.5

            Quarter

            2

            Exploring Similarity and Congruence

            Standards of Learning: G.3abd, G.4abcdef, G.6, G.

            Quarter

            3

            Applying Right Triangles 

            Standards of Learning: G.8

            Investigating Polygons 

            Standards of Learning: G.3ac, G.9, G.10

            Quarter

            4

            Investigating Relationships within Circles 

            Standards of Learning: G.4h, G.11, G.12 

            Applying Area, Perimeter, Surface Area, and Volume 

             Standards of Learning: G.13, G.14

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Math Analysis

            Math AnalysisFull description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Precalculus: Graphical, Numerical, Algebraic 10th edition

            Math Analysis  Standards of Learning & Curriculum Framework

            Yearly Overview Scope and Sequence

            Quarter

             1

            Investigating Functions

            Standards of Learning: MA.1, MA.2, MA.3, MA.4, MA.5

            Quarter

            2

            Matrices and Conics

            Standards of Learning: MA.6, MA.11

            Analytical Geometry and Equations

            Standards of Learning: MA.7, MA.8, MA.9, MA.10

            Quarter

            3

            Sequences, Series, and Mathematical Induction

            Standards of Learning: MA.12, MA.13, MA.14

            Limits

            Quarter

            4

            Differentiation

            Applications of Derivatives

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Precalculus

            PrecalculusFull description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Precalculus: Graphical, Numerical, Algebraic 10th edition and Lial Trigonometry

            Trigonometry 2016 Mathematics Standards of Learning & Curriculum Framework

            Math Analysis 2016 Standards of Learning & Curriculum Framework

            Yearly Overview Scope and Sequence

            Quarter

             1

            Functions

            Standards of Learning: MA.1, MA.3, MA.4, MA.5

            Exponential and Logarithmic Functions

            Standards of Learning: MA.2, MA.4

            Quarter

            2

            Trigonometric Functions

            Standards of Learning: T.1, T.2, T.3, T.4, T.7, T.9a

            Quarter

            3

            Analytical Trigonometry

            Standards of Learning: T.5, T.6

            Geometric Applications

            Standards of Learning: T.8, T.9b

            Quarter

            4

            Matrices and Conics

            Standards of Learning: MA.6, MA.11

            Sequences and Series

            Standards of Learning: MA.12, MA.13, MA.14

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Probability and Statistics

            Probability and StatisticsFull description in the Program of StudiesGrade(s): 10, 11, 12Textbook: Statistics and Probability with Applications 3eProbability and Statistics 2016 Standards of Learning & Curriculum Framework Yearly Overview Scope and Sequence

            Quarter

             1

            Data Collection 

            Standards of Learning: PS.8, PS.9, PS.10

            Descriptive Statistics

            Standards of Learning: PS.1,PS.2, PS.3, PS.4, PS.7, PS.16

            Quarter

            2

            Descriptive Statistics

            (Continued from Quarter 1)

            Probability

            Standards of Learning: PS.11, PS.12

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Algebra I

            Algebra I

            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Envision AGA Algebra I

            Algebra I 2016 Mathematics Standards of Learning & Curriculum Framework

            VDOE Mathematics Instructional Plans (Sample Lesson Plans)

            Yearly Overview Scope and Sequence

            Quarter

             1

            Solving Algebraic Expressions & Equations

            Standards of Learning: A.1, A4.ace

            Investigating Linear Functions 

            Standards of Learning: A.4de, A.6, A.7

            Quarter

            2

            Investigating Linear Functions

            (Continued from Quarter 1)

            Investigating Linear Inequalities

            Standard of Learning: A.5

            Quarter

            3

            Simplifying Expressions with Exponents and Radicals

            Standards of Learning: A.2a, A.3

            Applying Polynomials Operations

            Standard of Learning: A.2bc

            Quarter

            4

            Investigating Quadratic Functions 

            Standards of Learning: A.4be A.7

            Representing and Interpreting Bi-Variate Data

            Standards of Learning: A.8, A.9

            VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Algebra II

            Algebra IIFull description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Envision AGA Algebra II

            Algebra II 2016 Mathematics Standards of Learning & Curriculum Framework

            VDOE Mathematics Instructional Plans (Sample Lesson Plans)

            Yearly Overview Scope and Sequence

            Quarter

             1

            Exploring Functions Graphically

            Standards of Learning: AII.7, AII.6

            Absolute Value Functions

            Standards of Learning: AII.7a-h, k, AII.3a

            Quadratic Functions

            Standards of Learning: AII.2, AII.3b, AII.4, AII.7a-h, j-k, AII.9

            Quarter

            2

            Quadratic Functions

            (Continued from Quarter 1)

            Polynomial Functions

            Standards of Learning: AII.1c, AII.7a-h, j-k, AII.8

            Quarter

            3

            Rational Functions

            Standards of Learning: AII.1a, AII.3c,  AII.7 a, c-i, k, AII.10
            Radical Functions Standards of Learning: AII.1b, AII.3d, AII.7 a-h, j-k

            Quarter

            4

            Exponential Functions Standards of Learning: AII.5, AII.7 a-i, k, AII.9

            Investigating Statistics and Probability

            Standards of Learning: AII.11, AII.12

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • Algebra II with Trigonometry

            Algebra II with Trigonometry
            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Pearson Envision Algebra II and Lial Trigonometry

            Algebra II 2016 Mathematics Standards of Learning & Curriculum Framework

            Trigonometry 2016 Mathematics Standards of Learning & Curriculum Framework

            VDOE Mathematics Instructional Plans (Sample Lesson Plans)

            Yearly Overview Scope and Sequence

            Quarter

             1

            Exploring Functions Graphically

            Standards of Learning: AII.6, AII.7

            Absolute Value Functions

            Standards of Learning: ALL.3a, AII.7a-h, k 

            Quadratic Functions

            Standards of Learning: AII.2, AII.3b, AII.4, AII.7a-h, j-k, AII.9

            Quarter

            2

            Polynomial Functions

            Standards of Learning: AII.1c, AII.7a-h, j-k, AII.8

            Rational Functions

            Standards of Learning: AII.1a, AII.3c, AII.7a, c-i, k, AII.10
            Radical Functions Standards of Learning: AII.1b, AII.3d, AII.7 a-h,j-k

            Quarter

            3

            Exponential Functions Standards of Learning: AII.5, AII.7 a-i, k, AII.9

            Investigating Statistics and Probability

            Standards of Learning: AII.11, AII.12

            Trigonometric Functions

            Standards of Learning: T.1, T.2, T.3, T.4, T.7, T.9a

            Quarter

            4

            Trigonometric Functions

            (Continued from Quarter 3)

            Analytical Trigonometry Standards of Learning: T.5, T.6

            Applications of Trigonometry

            Standards of Learning: T.8, T.9b

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • AP Calculus AB

            AP Calculus AB
            Full description in the Program of StudiesGrade(s): 11, 12Textbook: Calculus for the AP CourseAP Calculus AB College Board Resources & Exam Information Yearly Overview Scope and Sequence

            Quarter

             1

            Unit 1: Limits and Continuity

            Unit 2: Differentiation: Definition and Fundamental Properties

            Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

            Quarter

            2

            Unit 4: Contextual Applications of Differentiation

            Unit 5: Analytical Applications of Differentiation

            Quarter

            3

            Unit 6: Integration and Accumulation of Change

            Unit 7: Differential Equations

            Unit 8: Applications of Integration

            Quarter

            4

            AP Review and Post AP Topics

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • AP Calculus BC

            AP Calculus BC
            Full description in the Program of StudiesGrade(s): 11, 12Textbook: Calculus for the AP CourseAP Calculus BC College Board Resources & Exam Information Yearly Overview Scope and Sequence

            Quarter

             1

            Unit 1: Limits and Continuity

            Unit 2: Differentiation: Definition and Basic Derivative Rules 

            Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

             Unit 4: Contextual Applications of Differentiation

            Quarter

            2

            Unit 5: Analytical Applications of Differentiation

            Unit 6: Integration and Accumulation of Change

            Unit 7: Differential Equations

            Unit 8: Applications of Integration

            Quarter

            3

            Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions 

            Unit 10: Infinite Sequences and Series

            Quarter

            4

            AP Review and Post AP Topics

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • AP Computer Science A

            AP Computer Science A
            Full description in the Program of StudiesGrade(s): 10, 11, 12Textbook: Big JavaAP Computer Science A Course and Exam Description Yearly Overview:

            Quarter

             1

            Unit 1: Primitive Types

            Unit 2: Using Objects

            Unit 3: Boolean Expression and If Statements

            Unit 4: Iteration/Loops

            Unit 5: Writing Classes

            Quarter

            2

            Unit 6: Arrays

            Unit 7: ArrayLists

            Quarter

            3

            Unit 8: 2D Arrays

            Unit 9: Inheritance

            Unit 10: Recursion

            Quarter

            4

            Extend Understanding and AP Exam Review/Practice

            Post AP Exam Project

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • AP Computer Science Principles

            AP Computer Science Principles
            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: Code.orgAP Computer Science Principles Course and Exam Description Yearly Overview:

            Quarter

             1

            Unit 1: Digital Information

            Unit 2: The Internet

            Unit 3: Intro to App Design

            Unit 4: Variables, Conditionals, and Functions

            Quarter

            2

            Unit 5: Lists, Loops, and Traversals

            Unit 6: Algorithms

            Quarter

            3

            Unit 7: Parameters, Return, and Libraries

            Unit 8: Create Performance Task 

            Unit 9: Data

            Quarter

            4

            Unit 10: Cybersecurity and Global Impacts

            Extend Understanding and AP Exam Review/Practice

            Post AP Exam Project

             VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • AP Precalculus

            AP Precalculus

            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12

            AP Precalculus Course Framework

            Quarter

             1

            Unit 1*

            Polynominal and Rational Functions

            Unit 2*

            Exponential and Logarithmic Functions

            Quarter

            2

            Unit 2*

            Exponential and Logarithmic Functions (cont'd)

            Unit 3*

            Trigonometric and Polar Functions

            Quarter

            3

            Unit 3*

            Trigonometric and Polar Functions (cont'd)

            Unit 4

            Functions Involving Parameters, Vectors, and Matrices

            Quarter

            4

            Unit 4

            Functions Involving Parameters, Vectors, and Matrices (cont'd)

            Unit 5

            Limits

            Unit 6

            Differentiation

            * Units 1, 2, and 3 are assessed on the AP Precalculus Exam.

             

            AP Precalculus Mathematics Practices
            1. Procedural and Symbolic Fluency - Algebraic manipulate functions, equations and expressions.
            2. Multiple Representations - Translate mathematics information between representations.
            3. Communication and Reasoning - Communicate with precise language, and provide rationales for conclusions.
             VDOE Process Goals
            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)

          • AP Statistics

            AP Statistics
            Full description in the Program of StudiesGrade(s): 9, 10, 11, 12Textbook: The Practice of Statistics 6eAP Statistics College Board Resources & Exam Information Yearly Overview Scope and Sequence

            Quarter

             1

            Unit 1: Exploring One-Variable Data

            Unit 2: Exploring Two-Variable Data

            Quarter

            2

            Unit 3: Collecting Data

            Unit 4: Probability, Random Variables, and Probability Distributions

            Quarter

            3

            Unit 5: Sampling Distributions

            Unit 6: Inference for Categorical Data (Proportions)
            & Quantitative Data (Means)

            Quarter

            4

            Unit 7: Inference for Categorical Data: Chi-Square

            Unit 8: Inference for Quantitative Data: Slopes

            Unit 9: Exploration

            VDOE Process Goals

            • To build new mathematical knowledge through problem solving and to develop a repertoire of skills and strategies for solving a variety of problem types (Problem Solving)  
            • To communicate mathematical ideas coherently and clearly and to analyze and evaluate the mathematical thinking of others (Communication)  
            • To use logical reasoning in solving mathematical problems and to explain and justify mathematical ideas (Reasoning)  
            • To understand how mathematical ideas interconnect and build on one another and to use those connections to solve problems (Connections)  
            • To create and use a variety of representations in learning, doing, and communicating mathematics (Representations)