MAT03.AR.OA.04

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

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.
Proficiency Scale
Progressions
Solve Problems Using Operations
 MAT00.AR.OA.04 Solve authentic word problems with addition by putting together or adding to within 10.
 MAT01.AR.OA.06 Use the +, , and = symbols accurately in an equation.
 MAT01.AR.OA.04 Solve authentic word problems with addition, including three numbers and unknowns, within 20.
 MAT02.AR.OA.03 Solve one and twostep authentic word problems with addition within 100, including the use of unknowns.
 MAT00.AR.OA.05 Solve authentic word problems with subtraction by taking apart or taking from within 10.
 MAT01.AR.OA.05 Solve authentic word problems with subtraction, including unknowns, within 20.
 MAT02.AR.OA.04 Solve one and twostep authentic word problems with subtraction within 100, including the use of unknowns.
 MAT02.AR.OA.05 Use repeated addition to find the total number of objects arranged in a rectangular array.
 MAT03.AR.OA.03 Solve 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. Represent problems using equations, including a symbol as an unknown.
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.
