## Expressions

## Standards5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. 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 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. 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. |
## Vocabularyequation – two expressions that simplify to the same vale; uses the equal signparentheses ( ) – grouping symbolsbrackets [ ] – symbols used to enclose a mathematical expressionbraces { } – grouping symbols; mainly used when parentheses and brackets have already been used.expression – a mathematical phrase without an equal sign.evaluate – to find a number value for the expression; work it outorder of operations – the order for performing operations to simplify expressions. |

## Overview

Order of operations is introduced in third grade and is continued in fourth. In Grade 5 students are expected to evaluate expressions with parentheses ( ), brackets [ ] and braces { }. Students need experiences with multiple expressions that use grouping symbols to develop understanding of when and how to use them. Students are required to place grouping symbols in equations to make the equations true. They will also work with exponents (powers of ten only). Students are expected to write expressions and describe the relationship between expressions without calculating them. Students will use the four operations as well as place value when describing the relationship between numbers. This unit does not include the use of variables, only numbers and signs for operations.