(OA) Operations and Algebraic Thinking Learners will analyze patterns and relationships to generate and interpret numerical expressions.
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-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.05Use 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.
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.05Use 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.
Proficiency Scale