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