#### Math - 2019-20

# 2.17 - Equality and Inequality

**The student will **

**demonstrate an understanding**of equality through the use of the equal symbol and the use of the not equal symbol

*Adopted: 2016*

### BIG IDEAS

- So that I can understand that mathematical sentences are equal
- So that I can understand that we all like to make things equal and that dividing things into equal parts is an essential life skill

### UNDERSTANDING THE STANDARD

- The equal
symbol (=) means that the values on either side are equivalent (balanced).
- The not
equal (≠) symbol means that the values on either side are not equivalent (not
balanced).
- In order for
students to develop the concept of equality, students need to see the = symbol
used in various appropriate locations (e.g., 3 + 4 = 7 and 5 = 2 + 3).
- An equation
(number sentence) is a mathematical statement representing two expressions that
are equivalent. It consists of two expressions, one on each side of an 'equal'
symbol (e.g., 5 + 3 = 8, 8 = 5 + 3 and 4 + 3 = 9 - 2). An equation can be represented using a number
balance scale, with equal amounts on each side (e.g., 3 + 5 = 6 + 2).
- An expression represents a quantity. It contains numbers, variables, and/or computational operation symbols. It does not have an equal symbol (e.g., 5, 4 + 3, 8-2). Students at this level are not expected to use the terms expression or variable.
- Manipulatives such as connecting cubes, counters, and number scales can be used to model equations.

### ESSENTIALS

**The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to**

Identify the equal symbol (=) as the symbol used to indicate that the values on either side are equal

- Identify
values and expressions that are not equal (e.g., 8 ≠ 9, 4 + 3 ≠ 8).
- Identify and use the appropriate symbol to distinguish between equal and not equal quantities (e.g., 9 + 24 = 10 + 23; 45 – 9 = 46 – 10; 15 + 16 ≠ 31 + 15).
- Use a model to represent the relationship of two expressions of equal value and two expressions that are not equivalent
Identify values and expressions that are equal (e.g., 8 = 8, 8 = 4 + 4).

Identify the not equal symbol (≠) as the symbol used to indicate that two values on either side are not equal.

### KEY VOCABULARY

*Updated: Aug 22, 2018*