Operations & Algebraic Thinking

5th Grade students will be able to:

• Use multiple grouping symbols (parentheses, brackets, or braces) in numerical expressions and evaluate expressions containing these symbols. 

• Write simple expressions that model calculations with numbers and interpret numerical expressions without evaluating them. 

  • Example 1: Express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). 

  • Example 2: Recognize that 3 × (18,932 + 921) is three times as large as 18,932 + 921 without having to calculate the indicated sum or product.

• Generate two numerical patterns using two given rules. 

  • Example: Given the rule “add 3” and the starting number 0 and given the rule “add 6” and the starting number 0, generate terms in the resulting sequences. 

• Identify apparent relationships between corresponding terms of two patterns with the same starting numbers that follow different rules. 

  • Example: Given two patterns in which the first pattern follows the rule “add 8” and the second pattern follows the rule “add 2,” observe that the terms in the first pattern are 4 times the size of the terms in the second pattern.