Chapter 1
Counting and Operations with Whole Numbers
Course: Elementary Education Assessment 5006
Subject: Mathematics And Science 5008
Chapter: Early Equations And Expressions Measurement And Geometry
In this lesson, algebra focuses on understanding relationships and balance, measurement focuses on measurable attributes and units, data focuses on interpreting graphs accurately, and geometry focuses on defining and classifying shapes using their properties.
1. Early Equations and Expressions
A. Equivalence, the Equal Sign as a Relationship, and Preserving Equivalence
Algebraic Terms and Expressions as Descriptions of Quantity
An algebraic term is a number, a variable, or a product of numbers and variables. An algebraic expression is one or more terms combined with operations. Expressions describe quantities and relationships but do not state that two quantities are equal. Because expressions describe quantities, they can be evaluated when values are assigned to variables.
Example: The expression 2x + 7 describes a quantity that depends on x. If x = 5, the value is 2(5) + 7 = 17. If x changes, the expression’s value changes, showing that the expression represents a relationship, not a single fixed number.