Fifth Grade Operations and Algebraic Thinking

Write algebraic expressions, use braces, brackets and parenthesis in expressions and generate number patterns using "input/output" boxes.  Just click on the blue links to display or print pdfs.

Practice Pages
Write and interpret numerical expressions - Cluster 1

Standard 5.OA.1:  Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.



Order of Operations

Answers 5.OA.1.b

Standard 5.OA.2:  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 x (8 +7).  Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Convert to add/multiply expressions

Answers 5.OA.2.a

Convert to mixed expressions

Answers 5.OA.2.b

Analyze patterns and relationships - Cluster 2

Standard 5.OA.3:  Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.

For 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, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

Complete in/out boxes explain rules

Answers 5.OA.3.a

Write patterns between in/out boxes

Answers 5.OA.3.b