Stereotypes

Vision Inspired Action

Overview of Algebra Plan, Intentional Learning and Voice

  • This unit continues from the previous study of algebra.
  • Key algebra skills being revisited include:
    • Simplifying algebraic expressions
    • Evaluating expressions by substitution
    • Factorization
    • Expansion
    • Solving equations
  • Focus on representing real-life problems as algebraic expressions and solving corresponding equations.
  • Homework: Complete Exercise 2.1 Pre-Test.

2.2 Using Variables

Plan, Intentional Learning and Voice

Learning Intentions

Students will be able to:

  • Identify the number of terms in an algebraic expression.
  • Identify the variables and coefficients of the terms in an expression.
  • Identify the constant terms in an expression.
  • Evaluate an expression or formula by substituting values for each variable.

Success Criteria

  • I can name and number the types of terms in an algebraic expression.
  • I can evaluate an expression or formula by substituting values for given variables.

Work Requirements

  • Complete section 2.2 Using Variables.

What is Algebra?

  • Definition: Algebra is the study of generalised arithmetic, concentrating on how numbers, quantities, or values interact with each other.
    • Example 1: A Demonstration of Generalised Arithmetic (Addition)
    • The relationship can be expressed as: a + b = c.
    • This indicates that when you add number one (a) to another number (b), the result is called the sum (c).

Usefulness of Algebra

  • Provides tools for problem-solving in everyday life scenarios.

Key Vocabulary

  • Students need to learn and be able to define and use key vocabulary associated with algebra to facilitate understanding and discussion throughout the unit.

Your Turn: Evaluation Tasks

Task 1

  • Identify if the following is an expression or equation:
  • Determine the number of terms.
  • Identify the pronumerals/variables.
  • What is the coefficient of ?3?
  • What is the value of the constant?
    • Key Vocabulary: expression, five, 2, 3, 2, 8

Task 2

  • Repeat the task above for a new set of values:
    • Key Vocabulary: expression, six, 2, 2, 1, 7, 1, -3

Example 1: Evaluation by Substitution

  • Scenario: A store sells larger (