# Mathematics

- 6th Grade Mathematics
- 6th Grade Mathematics -- Accelerated Mathematics
- 6th Grade Mathematics -- Mathematics Connection

## 6th Grade Mathematics

## A - Numerical Reasoning

- solve relevant, mathematical problems involving operations with whole numbers, fractions, and decimal numbers
- design, collect, model, and analyze data distributions to answer statistical questions and solve relevant, mathematical problems
- solve a variety of problems involving integers; model rational numbers on a number line to describe problems presented in relevant, mathematical situations
- solve a variety of contextual problems involving ratios, unit rates, equivalent ratios, percentages, and conversions within measurement systems using proportional reasoning

## B - Geometric & Spatial Reasoning

- solve relevant, mathematical problems involving area of polygons, surface area of 3-D figures, and volume of right rectangular prisms

## C - Patterning & Algebraic Reasoning

- identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain relevant, mathematical problems
- write and solve one-step equations and inequalities to explain authentic, realistic scenarios
- graph rational numbers as points on the coordinate plane to represent and solve contextual, mathematical problems; draw polygons using the coordinates for their vertices and find the length of a side of a polygon

## 6th Grade Mathematics -- Accelerated Mathematics

## A - Numerical Reasoning

- solve relevant, mathematical problems involving operations with whole numbers, fractions, and decimal numbers (e.g., proper fractions, improper fractions, mixed numbers)
- design, collect, model, and analyze data distributions to answer statistical questions and solve relevant, mathematical problems
- solve a variety of problems involving integers; model rational numbers on a number line to describe problems presented in relevant, mathematical situations
- solve a variety of contextual problems involving ratios, unit rates, equivalent ratios, percentages, and conversions within measurement systems using proportional reasoning
- solve relevant, mathematical problems involving the four operations with rational numbers in any form (i.e., integers, percentages, fractions, and decimal numbers)

## B - Geometric & Spatial Reasoning

- solve relevant, mathematical problems involving area of polygons, surface area of 3-D figures, and volume of right rectangular prisms

## C - Patterning & Algebraic Reasoning

- identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain relevant, mathematical problems
- write and solve one-step equations and inequalities to explain authentic, realistic scenarios
- graph rational numbers as points on the coordinate plane to represent and solve contextual, mathematical problems; draw polygons using the coordinates for their vertices and find the length of a side of a polygon
- use properties of operations to generate equivalent expressions and interpret the expressions to explain relevant situations
- represent authentic situations using equations and inequalities with variables; solve equations and inequalities symbolically, using the properties of equality
- recognize proportional relationships in relevant, mathematical problems; represent, solve, and explain these relationships with tables, graphs, verbal descriptions, and equations

## 6th Grade Mathematics -- Mathematics Connection

## A - Numerical Reasoning

- solve relevant, mathematical problems involving operations with whole numbers, fractions, and decimal numbers
- design, collect, model, and analyze data distributions to answer statistical questions and solve relevant, mathematical problems
- solve a variety of problems involving integers; model rational numbers on a number line to describe problems presented in relevant, mathematical situations
- solve a variety of contextual problems involving ratios, unit rates, equivalent ratios, percentages, and conversions within measurement systems using proportional reasoning

## B - Geometric & Spatial Reasoning

- solve relevant, mathematical problems involving area of polygons, surface area of 3-D figures, and volume of right rectangular prisms

## C - Patterning & Algebraic Reasoning

- identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain relevant, mathematical problems
- write and solve one-step equations and inequalities to explain authentic, realistic scenarios
- graph rational numbers as points on the coordinate plane to represent and solve contextual, mathematical problems; draw polygons using the coordinates for their vertices and find the length of a side of a polygon