MAT02.AR.OA.02

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

MAT02.AR.OA.02 Apply the properties of operations to solve addition and subtraction equations within 100 and justify thinking.
Proficiency Scale
Progressions
Properties of Operations
 MAT02.AR.OA.02 Apply the properties of operations to solve addition and subtraction equations and justify thinking.
 MAT03.AR.OA.02 Apply the properties of operations to solve multiplication and division equations and justify thinking.
 MAT04.AR.OA.02 Identify and apply the properties of operations for addition, subtraction, multiplication, and division and justify thinking.
 MAT05.AR.OA.02 Analyze problems using the order of operations to solve and evaluate expressions while justifying thinking.
 MAT06.AR.EE.03 Identify when two expressions are equivalent. Apply the properties of operations to generate equivalent expressions.
 MAT07.AR.EE.01 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions involving variables, integers, and/or nonnegative fractions and decimals with an emphasis on writing equivalent expressions.
 MAT08.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.
 MAT09.AR.05 Justify each step in solving a linear equation that may or may not have a solution.
Equations/Expressions
 MAT01.AR.OA.06 Use the +, , and = symbols accurately in an equation.
 MAT02.AR.OA.02 Apply the properties of operations to solve addition and subtraction equations and justify thinking.
 MAT03.AR.OA.02 Apply the properties of operations to solve multiplication and division equations and justify thinking.
 MAT03.AR.OA.03 Solve word twostep authentic word problems using addition and subtraction within 1000, including equations with a letter as an unknown.
 MAT03.AR.OA.04 Use strategies and visual models to solve authentic word problems with multiplication within 100, including unknowns, using grouping models and equations.
 MAT03.AR.OA.05 Use strategies and visual models to solve authentic word problems with division within 100, including unknowns, using grouping models and equations.
 MAT04.AR.OA.03 Solve multistep authentic word problems using the four operations, including problems with interpreted remainders.
 MAT04.AR.OA.05 Interpret multiplication equations as a comparison. Represent multiplicative comparisons as multiplication equations.
 MAT05.AR.OA.02 Analyze problems using the order of operations to solve and evaluate expressions while justifying thinking.
 MAT05.AR.OA.03 Write simple expressions that record calculations with numbers. Interpret numerical expressions without evaluating them.
 MAT06.AR.EE.01 Write, read, and evaluate numerical expressions, including expressions with whole number exponents and grouping symbols.
 MAT06.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.
 MAT06.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.
 MAT06.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 nonnegative whole numbers or decimals, including authentic problems.
 MAT07.AR.EE.02 Write and solve equations of the form px + q = r and p(x + q) = r , including in authentic problems.
 MAT08.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.
 MAT08.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 nonnegative rational number.
 MAT08.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.
 MAT09.AR.01 Use the structure of an expression (i.e., quadratic and exponential) to identify ways to rewrite it.
 MAT09.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.
 MAT12.AR.03 Interpret expressions that represent a quantity in context.
 MAT12.AR.02 Use the structure of an expression (to extend to polynomial and rational expressions) to identify ways to rewrite it.
