GEMA: Mastering Multiplication, Division, and Exponents
Year 9 Mathematics Lesson 2: Multiplicative Thinking 45 minutes
Learning Intentions & Success Criteria
WALT (We Are Learning To): Apply GEMA to solve complex expressions involving multiplication, division, and exponents Success Criteria: I can identify the correct order for multiplication and division Success Criteria: I can work left to right when operations have equal priority Success Criteria: I can integrate exponents correctly within GEMA Success Criteria: I can solve multi-step problems independently
GEMA Reminder
G - Grouping symbols (brackets) E - Exponents (powers) M - Multiplication A - Addition D - Division S - Subtraction
Key Focus: Multiplication & Division Priority
Multiplication and Division have EQUAL priority When you see both, work LEFT to RIGHT Example: 12 ÷ 3 × 4 Step 1: 12 ÷ 3 = 4 Step 2: 4 × 4 = 16 NOT: 12 ÷ (3 × 4) = 12 ÷ 12 = 1
Class Practice: Left to Right
Work together on these examples: a) 20 ÷ 4 × 5 b) 6 × 8 ÷ 2 c) 15 ÷ 3 × 2 ÷ 5 Show your working step by step
Integrating Exponents into GEMA
Exponents come BEFORE multiplication and division Example: 2 × 3² + 4 Step 1: Calculate 3² = 9 Step 2: 2 × 9 = 18 Step 3: 18 + 4 = 22 Remember: Exponents are powerful!
More Complex Examples
{"left":"Example 1: 4 + 2³ × 5\nStep 1: 2³ = 8\nStep 2: 8 × 5 = 40\nStep 3: 4 + 40 = 44\nExample 2: 6² ÷ 9 + 3 × 2","right":"Step 1: 6² = 36\nStep 2: 36 ÷ 9 = 4\nStep 3: 3 × 2 = 6\nStep 4: 4 + 6 = 10"}
Quick Check Understanding
Which operation do you do first? 8 + 2⁴ ÷ 4 × 3 A) 8 + 2⁴ B) 2⁴ ÷ 4 C) 4 × 3 Think, pair, share your answer!
Independent Practice
Solve these problems independently: 1) 5 × 2³ - 8 2) 24 ÷ 6 × 2 + 1 3) 3² + 4 × 5 ÷ 2 4) (Extension) 2 × 3² + 4³ ÷ 8 Show all working steps
Lesson Summary & Next Steps
Today we mastered: Multiplication & Division equal priority (left to right) Exponents come first in GEMA Step-by-step problem solving Next lesson: Adding brackets and complex grouping Homework: Practice sheet - 10 problems Remember: GEMA is your mathematical GPS!
35 more slides available after you open the deck.
Download all 45 slidesMore Math slide decks
Other ready-to-teach math decks for New Zealand classrooms.
Factors and Multiples Made Easy
Factors and Multiples Made Easy
Number Facts and Mental Math
Number Facts and Mental Math
Finding Fractions with Calculator Practice
Finding Fractions with Calculator Practice
