Wednesday, September 18, 2024, 9:06 PM
Site: Learnbps
Course: BPSS (MAT) Mathematics Standards (S-MAT)
Glossary: MAT-02 Standards

#### MAT-02.AR

MAT-02.AR Domain

# (AR) Number and Operations

## Sub-Categories

• (OA) Operations and Algebraic Thinking
Learners will analyze patterns and relationships to generate and interpret numerical expressions.
• (RP) Ratios and Proportional Relationships
Learners will use ratios, rates, and proportions to model relationships and solve problems.
• (EE) Expressions and Equations
Learners will look for, generate, and make sense of patterns, relationships, and algebraic symbols to represent mathematical models while adapting approaches in novel situations.
• (F) Functions
Learners will develop a foundational knowledge of functions and use them to model relationships between quantities.

## Calculation Method for Domains

Domains are larger groups of related standards. The Domain Grade is a calculation of all the related standards. Click on the standard name below each Domain to access the learning targets and rubrics/ proficiency scales for individual standards within the domain.

#### MAT-02.AR.OA.01

 2nd Grade (MAT) Targeted Standard     (AR) Algebraic Reasoning  (OA) Operations and Algebraic Thinking Learners will analyze patterns and relationships to generate and interpret numerical expressions.

## Progressions

Operations – Basic Facts

• MAT-00.AR.OA.01 Automatically add and subtract within 5.
• MAT-01.AR.OA.01 Automatically add and subtract within 10.
• MAT-02.AR.OA.01 Automatically add and subtract within 20.
• MAT-03.AR.OA.01 Using mental strategies, multiply and divide basic facts within 100. Automatically multiply and divide up to 5 x 5 and 10s facts.
• MAT-04.AR.OA.01 Automatically multiply and divide through 10 x 10.
• MAT-05.AR.OA.01 Automatically multiply and divide through 12 x 12.

#### MAT-02.AR.OA.02

 2nd Grade (MAT) Targeted Standard     (AR) Algebraic Reasoning  (OA) Operations and Algebraic Thinking Learners will analyze patterns and relationships to generate and interpret numerical expressions.

## Progressions

Properties of Operations

• MAT-02.AR.OA.02 Apply the properties of operations to solve addition and subtraction equations and justify thinking.
• MAT-03.AR.OA.02 Apply the properties of operations to solve multiplication and division equations and justify thinking.
• MAT-04.AR.OA.02 Identify and apply the properties of operations for addition, subtraction, multiplication, and division and justify thinking.
• MAT-05.AR.OA.02 Analyze problems using the order of operations to solve and evaluate expressions while justifying thinking.
• MAT-06.AR.EE.03 Identify when two expressions are equivalent. Apply the properties of operations to generate equivalent expressions.
• MAT-07.AR.EE.01 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions involving variables, integers, and/or non-negative fractions and decimals with an emphasis on writing equivalent expressions.
• MAT-08.AR.EE.05 Solve linear equations with rational number coefficients and variables on both sides, including equations that require using the distributive property and/or combining and collecting like terms. Interpret the number of solutions. Give examples of linear equations in one variable with one solution, infinitely showing solutions or no solutions.
• MAT-09.AR.05 Justify each step in solving a linear equation that may or may not have a solution.

Equations/Expressions

• MAT-01.AR.OA.06 Use the +, -, and = symbols accurately in an equation.
• MAT-02.AR.OA.02 Apply the properties of operations to solve addition and subtraction equations and justify thinking.
• MAT-03.AR.OA.02 Apply the properties of operations to solve multiplication and division equations and justify thinking.
• MAT-03.AR.OA.03 Solve word two-step authentic word problems using addition and subtraction within 1000, including equations with a letter as an unknown.
• MAT-03.AR.OA.04 Use strategies and visual models to solve authentic word problems with multiplication within 100, including unknowns, using grouping models and equations.
• MAT-03.AR.OA.05 Use strategies and visual models to solve authentic word problems with division within 100, including unknowns, using grouping models and equations.
• MAT-04.AR.OA.03 Solve multi-step authentic word problems using the four operations, including problems with interpreted remainders.
• MAT-04.AR.OA.05 Interpret multiplication equations as a comparison. Represent multiplicative comparisons as multiplication equations.
• MAT-05.AR.OA.02 Analyze problems using the order of operations to solve and evaluate expressions while justifying thinking.
• MAT-05.AR.OA.03 Write simple expressions that record calculations with numbers. Interpret numerical expressions without evaluating them.
• MAT-06.AR.EE.01 Write, read, and evaluate numerical expressions, including expressions with whole number exponents and grouping symbols.
• MAT-06.AR.EE.02 Read and evaluate algebraic expressions, including expressions with whole number exponents and grouping symbols. Write algebraic expressions to represent simple and authentic situations.
• MAT-06.AR.EE.04 Describe the concept of a solution of an equation or an inequality. Determine whether a given number is a solution to an equation or an inequality.
• MAT-06.AR.EE.05 Write and solve equations of the form of x + p = q and px = q for cases in which p and q are non-negative whole numbers or decimals, including authentic problems.
• MAT-07.AR.EE.02 Write and solve equations of the form px + q = r and p(x + q) = r , including in authentic problems.
• MAT-08.AR.EE.01 Explain the relationship between repeated multiplication and the properties of integer exponents. Apply a single exponent property to generate equivalent numeric and algebraic expressions that include numerical coefficients.
• MAT-08.AR.EE.02 Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a non-negative rational number.
• MAT-08.AR.EE.06 Read, write, and evaluate numerical and algebraic expressions, including expressions involving absolute value. Solve and graph equations of the form |x| = r where r is a nonnegative rational number.
• MAT-09.AR.01 Use the structure of an expression (i.e., quadratic and exponential) to identify ways to rewrite it.
• MAT-09.AR.04 Create linear and exponential equations in two or more variables to represent relationships between quantities. Graph equations on coordinate axes with appropriate labels and scales.
• MAT-12.AR.03 Interpret expressions that represent a quantity in context.
• MAT-12.AR.02 Use the structure of an expression (to extend to polynomial and rational expressions) to identify ways to rewrite it.

#### MAT-02.AR.OA.03

 2nd Grade (MAT) Targeted Standard     (AR) Algebraic Reasoning  (OA) Operations and Algebraic Thinking Learners will analyze patterns and relationships to generate and interpret numerical expressions.

## Progressions

Solve Problems Using Operations

• MAT-00.AR.OA.04 Solve authentic word problems with addition by putting together or adding to within 10.
• MAT-01.AR.OA.06 Use the +, -, and = symbols accurately in an equation.
• MAT-01.AR.OA.04 Solve authentic word problems with addition, including three numbers and unknowns, within 20.
• MAT-02.AR.OA.03 Solve one- and two-step authentic word problems with addition within 100, including the use of unknowns.
• MAT-00.AR.OA.05 Solve authentic word problems with subtraction by taking apart or taking from within 10.
• MAT-01.AR.OA.05 Solve authentic word problems with subtraction, including unknowns, within 20.
• MAT-02.AR.OA.04 Solve one- and two-step authentic word problems with subtraction within 100, including the use of unknowns.
• MAT-02.AR.OA.05 Use repeated addition to find the total number of objects arranged in a rectangular array.
• MAT-03.AR.OA.03 Solve two-step authentic word problems using addition and subtraction within 1000, including equations with a letter as an unknown.
• MAT-03.AR.OA.04 Use strategies and visual models to solve authentic word problems with multiplication within 100, including unknowns, using grouping models and equations.
• MAT-03.AR.OA.05 Use strategies and visual models to solve authentic word problems with division within 100, including unknowns, using grouping models and equations.
• MAT-04.AR.OA.03 Solve multi-step authentic word problems using the four operations, including problems with interpreted remainders. Represent problems using equations, including a symbol as an unknown.

#### MAT-02.AR.OA.04

 2nd Grade (MAT) Targeted Standard     (AR) Algebraic Reasoning  (OA) Operations and Algebraic Thinking Learners will analyze patterns and relationships to generate and interpret numerical expressions.

## Progressions

Solve Problems Using Operations

• MAT-00.AR.OA.04 Solve authentic word problems with addition by putting together or adding to within 10.
• MAT-01.AR.OA.06 Use the +, -, and = symbols accurately in an equation.
• MAT-01.AR.OA.04 Solve authentic word problems with addition, including three numbers and unknowns, within 20.
• MAT-02.AR.OA.03 Solve one- and two-step authentic word problems with addition within 100, including the use of unknowns.
• MAT-00.AR.OA.05 Solve authentic word problems with subtraction by taking apart or taking from within 10.
• MAT-01.AR.OA.05 Solve authentic word problems with subtraction, including unknowns, within 20.
• MAT-02.AR.OA.04 Solve one- and two-step authentic word problems with subtraction within 100, including the use of unknowns.
• MAT-02.AR.OA.05 Use repeated addition to find the total number of objects arranged in a rectangular array.
• MAT-03.AR.OA.03 Solve two-step authentic word problems using addition and subtraction within 1000, including equations with a letter as an unknown.
• MAT-03.AR.OA.04 Use strategies and visual models to solve authentic word problems with multiplication within 100, including unknowns, using grouping models and equations.
• MAT-03.AR.OA.05 Use strategies and visual models to solve authentic word problems with division within 100, including unknowns, using grouping models and equations.
• MAT-04.AR.OA.03 Solve multi-step authentic word problems using the four operations, including problems with interpreted remainders. Represent problems using equations, including a symbol as an unknown.

#### MAT-02.AR.OA.05

 2nd Grade (MAT) Targeted Standard     (AR) Algebraic Reasoning  (OA) Operations and Algebraic Thinking Learners will analyze patterns and relationships to generate and interpret numerical expressions.

## Progressions

Solve Problems Using Operations

• MAT-00.AR.OA.04 Solve authentic word problems with addition by putting together or adding to within 10.
• MAT-01.AR.OA.06 Use the +, -, and = symbols accurately in an equation.
• MAT-01.AR.OA.04 Solve authentic word problems with addition, including three numbers and unknowns, within 20.
• MAT-02.AR.OA.03 Solve one- and two-step authentic word problems with addition within 100, including the use of unknowns.
• MAT-00.AR.OA.05 Solve authentic word problems with subtraction by taking apart or taking from within 10.
• MAT-01.AR.OA.05 Solve authentic word problems with subtraction, including unknowns, within 20.
• MAT-02.AR.OA.04 Solve one- and two-step authentic word problems with subtraction within 100, including the use of unknowns.
• MAT-02.AR.OA.05 Use repeated addition to find the total number of objects arranged in a rectangular array.
• MAT-03.AR.OA.03 Solve two-step authentic word problems using addition and subtraction within 1000, including equations with a letter as an unknown.
• MAT-03.AR.OA.04 Use strategies and visual models to solve authentic word problems with multiplication within 100, including unknowns, using grouping models and equations.
• MAT-03.AR.OA.05 Use strategies and visual models to solve authentic word problems with division within 100, including unknowns, using grouping models and equations.
• MAT-04.AR.OA.03 Solve multi-step authentic word problems using the four operations, including problems with interpreted remainders. Represent problems using equations, including a symbol as an unknown.

#### MAT-02.AR.OA.06

 2nd Grade (MAT) Targeted Standard     (AR) Algebraic Reasoning  (OA) Operations and Algebraic Thinking Learners will analyze patterns and relationships to generate and interpret numerical expressions.

## Progressions

Patterns

• MAT-00.AR.OA.06 Recognize, duplicate, complete, and extend repeating patterns in a variety of contexts (e.g., shape, color, size, objects, sounds, and movement).
• MAT-01.AR.OA.07 Identify, create, complete, and extend patterns that are repeating, increasing, and decreasing in a variety of contexts.
• MAT-02.AR.OA.06 Identify a group of objects from 0 to 20 as even or odd by showing even numbers as a sum of two equal parts.
• MAT-03.AR.OA.06 Identify arithmetic patterns and explain them using the properties of operations.
• MAT-04.AR.OA.06 Generate a number or shape pattern that follows a given rule while identifying apparent features of the pattern that were not explicit in the rule itself.
• MAT-05.AR.OA.05 Generate two numerical patterns using two given rules and form ordered pairs consisting of corresponding terms from the two patterns. (Graphing on a coordinate plane).
• MAT-09.AR.01 Use the structure of an expression (i.e., quadratic and exponential) to identify ways to rewrite it.
• MAT-12.AR.2 Use the structure of an expression (to extend to polynomial and rational expressions) to identify ways to rewrite it.