• ### Theresa Roettinger, Ed.D.

Coordinator of Mathematics (Primary)

• ### Rebecca Cothran

Coordinator of Mathematics (Secondary)

## In this section

WJCC Schools uses the math curriculum from the Virginia Department of Education. Each course builds on what was learned in the previous year. The curriculum is divided into five main areas: Number and Number Sense, Computation and Estimation, Measurement and Geometry, Probability and Statistics, and Patterns, Functions, and Algebra. These areas are the basis for the math lessons from kindergarten to 7th grade, and each course focuses on specific skills.

Number & Number SenseComputation & EstimationMeasurement & GeometryProbability & StatisticsPatterns, Functions & Algebra
KindergartenWhole Number ConceptsWhole Number OperationsInstruments and Attributes & Plane FiguresData Collection and DisplayAttributes and Patterning
Grade 1Place Values and Fraction ConceptsWhole Number OperationsTime and Nonstandard Measurement & Characteristics of Plane FiguresData Collection and InterpretationPatterning and Equivalence
Grade 2Place Values, Number Patterns and Fraction ConceptsNumber Relationships and OperationsMoney, Linear Measurement, Weight/Mass, and Volume & Symmetry and Plane and Solid FiguresApplications of DataPatterning and Numerical Sentences
Grade 3Place Values and FractionsComputation and Fraction OperationsUS Customary and Metric Units, Area, Perimeter, and Time, & Properties and Congruence Characters of Plane and Solid FiguresApplications of Data and ChancePatterns, and Property Concepts
Grade 4Place Values, Fractions, and DecimalsFactors, Multiples, and Fraction and Decimal OperationsEquivalence within US Customary and Metric Systems & Representations and PolygonsOutcomes and DataGeometric Patterns, Equality and Properties
Grade 5Prime and Composite Numbers and Rounding DecimalsMulti-step Applications and Order of OperationsPerimeter, Area, Volume, and Equivalent Measures & Classification and SubdividingOutcomes and Measures of CenterEquations and Properties
Grade 6Relationships among Fractions, Decimals, and PercentsApplications of Operations with Rational NumbersProblem Solving with Area, Perimeter, Volume, and Surface Area & Properties and RelationshipsPractical Applications of StatisticsVariable Equations and Properties
Grade 7Proportional ReasoningOperations with Integers and Proportional ReasoningProportional Reasoning & Relationships between FiguresApplications of Statistics and ProbabilityLinear Equations

The process standards define content delivery in mathematics. They include Problem Solving, Reasoning and Proof, Communications, Connections, and Representations.

## Process Standards & Expectations

#### Problem Solving

Expectation:

• Build new mathematical knowledge through problem-solving
• Solve problems that arise in mathematics and other contexts
• Apply and adapt a variety of appropriate strategies to solve problems
• Monitor and reflect on the process of mathematical problem solving

#### Reasoning & Proof

Expectation:

• Recognize reasoning and proof as fundamental aspects of mathematics
• Make and investigate mathematical conjectures
• Develop and evaluate mathematical arguments and proofs
• Select and use various types of reasoning and methods of proof

#### Communication

Expectation:

• Organize and consolidate their mathematical thinking through communication
• Communicate their mathematical thinking coherently and clearly to peers, teachers, and others
• Analyze and evaluate the mathematical thinking and strategies of others;
• Use the language of mathematics to express mathematical ideas precisely.

#### Connections

Expectation:

• Recognize and use connections among mathematical ideas
• Understand how mathematical ideas interconnect and build on one another to produce a coherent whole
• Recognize and apply mathematics in contexts outside of mathematics

#### Representation

Expectation:

• Create and use representations to organize, record, and communicate mathematical ideas
• Select, apply, and translate among mathematical representations to solve problems
• Use representations to model and interpret physical, social, and mathematical phenomena
Every math course uses the process standards to instruct the content standards.