Standard

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Student Language:

"I can write expressions I hear using mathematical symbols and the order of operations. "

Explanation

About the Math, Learning Targets, and Rigor

This standard refers to expressions. Expressions are a series of numbers and symbols (+, −,×,÷) without an equals sign. Equations result when two expressions are set equal to each other (2 + 3 = 4 + 1).

This standard also calls for students to verbally describe the relationship between expressions without actually calculating them. This standard calls for students to apply their reasoning of the four operations as well as place value while describing the relationship between numbers. The standard does not include the use of variables, only numbers and signs for operations.

Examples:

• "Divide 144 by 12 and then subtract 7/8 " -> (144 ÷ 12) − 7/8
• "Double five and then add 26" -> (2 × 5) + 26

Resources

Videos

• Khan Academy
  • Scroll to 5.OA.2, click on skill, find videos on left side of each skill
• Learn Zillion
• Virtual Nerd

EngageNY Lessons

Extra Practice

• North Carolina Tasks
• Illustrative Math Tasks
• Howard County Tasks
  • Click on 5th grade at bottom, then 5.OA.2
• Common Core Sheets

Released Assessment Questions

PARCC

Common Core State Standards

5.OA.2-1

Write simple expressions that record calculations with numbers. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7).

STUDENT SAMPLE RESPONSE

5.OA.2-2

Interpret numerical expressions without evaluating them. For example, recognize that 3 x (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product.

STUDENT SAMPLE RESPONSE

Performance Indicators: 5.OA.2-1, 5.OA.2-2

Level 5: Exceeds Expectations

Uses parentheses, brackets, or braces with no greater depth than two, to write and evaluate numerical expressions.

Interprets numerical expressions without evaluating them.

Level 4: Meets Expectations

Uses parentheses, brackets, or braces to write numerical expressions.

Interprets simple numerical expressions without evaluating them.