Algebra Adventures: Unlocking Variables

MathsYear 78 slidesAustralian curriculum
Algebra Adventures: Unlocking Variables

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Algebra Adventures: Unlocking Variables
Slide 1

Algebra Adventures: Unlocking Variables

Year 7 Mathematics Discovering the Power of Variables 100 minutes of mathematical exploration

Do Now: Mathematical Warm-Up
Slide 2

Do Now: Mathematical Warm-Up

Calculate: 5 + 3 × 2 Simplify: (10 - 4) ÷ 2 Find the missing number: 8 + ? = 15 What comes next: 2, 4, 6, 8, ?

What is a Variable?
Slide 3

What is a Variable?

A letter that represents an unknown or changing value Like a mystery box that can hold different numbers Common variables: x, y, z, a, b, c Variables help us write mathematical rules and formulas

Variables in Real Life vs Mathematics
Slide 4

Variables in Real Life vs Mathematics

{"left":"Temperature changes throughout the day\nYour age increases each year\nSpeed of a car varies\nNumber of students in class changes","right":"T = temperature\nA = age\nS = speed\nN = number of students"}

Finding Variables in Formulas
Slide 5

Finding Variables in Formulas

Area of rectangle: A = l × w Perimeter of square: P = 4s Total cost: C = n × p Distance traveled: D = s × t

Substitution Challenge
Slide 6

Substitution Challenge

Given: A = l × w If l = 6 and w = 4 Find the area A Show your working step by step

Check Your Understanding
Slide 7

Check Your Understanding

If P = 4s represents the perimeter of a square And s = 7 centimeters What is the perimeter P? Turn and talk with your partner!

Mathematical Wisdom
Slide 8

Mathematical Wisdom

Variables are the keys that unlock mathematical mysteries Today we learned to identify variables and substitute values Next lesson: Creating our own algebraic expressions!