In This Unit of Study…

Students translate written real-world and mathematical descriptions into numerical expressions and numerical expressions into written mathematical descriptions. They evaluate multistep numerical expressions using order of operations, and they determine and explain whether an equation involving any of the four operations is true or false. Instruction focuses on the connection between properties of equality and order of operations. Expressions are limited to any combination of the arithmetic operations, including parentheses, with whole numbers, decimals, and fractions (exponents and nested grouping symbols are not applied until sixth grade). Decimals are limited to hundredths, and expressions cannot include division of a fraction by a fraction.

B.E.S.T. Benchmarks:

• MA.5.AR.2.1 Translate written real-world and mathematical descriptions into numerical expressions and numerical expressions into written mathematical descriptions.
• MA.5.AR.2.2 Evaluate multi-step numerical expressions using order of operations.
• MA.5.AR.2.3 Determine and explain whether an equation involving any of the four operations is true or false.

Key Concepts:

• I can translate real-world and mathematical descriptions into numerical expressions.
• I can translate numerical expressions into mathematical descriptions.
• I can solve numerical expressions made up of mixed operations.
• I can place grouping symbols in an expression to indicate the order of operations.
• I can use grouping symbols to write and evaluate expressions.
• I can determine if an equation is true or false.
• I can explain why an equation is true or false.