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Odd Even Multiplication Patterns

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Odd Even Multiplication Patterns

Mathematical patterns and multiplication symbols

🎯 WALT: We Are Learning To

Investigate and generalise the results of multiplying odd and/or even numbers

📋 Success Criteria

I can identify odd and even numbers, multiply pairs of numbers, recognise patterns in products, and explain my findings using mathematical language.

🔢 Part 1: Odd or Even?

1. Circle whether each number is ODD or EVEN:

a) 7 is: ODD / EVEN (circle one)

b) 12 is: ODD / EVEN (circle one)

c) 15 is: ODD / EVEN (circle one)

d) 8 is: ODD / EVEN (circle one)

2. Before we calculate, predict whether each product will be ODD or EVEN:

a) 3 × 5 will be:

ODD
EVEN

b) 4 × 6 will be:

ODD
EVEN

c) 7 × 2 will be:

ODD
EVEN

🔍 Part 2: Investigating Patterns

3. Calculate these multiplications and record whether the product is odd or even:

ODD × ODD:

3 × 5 = _____ (odd/even)

7 × 9 = _____ (odd/even)

1 × 3 = _____ (odd/even)

EVEN × EVEN:

4 × 6 = _____ (odd/even)

2 × 8 = _____ (odd/even)

10 × 4 = _____ (odd/even)

ODD × EVEN:

3 × 4 = _____ (odd/even)

7 × 2 = _____ (odd/even)

5 × 6 = _____ (odd/even)

4. Draw arrays to show 3 × 4 and 5 × 2 using dots or circles:

🧠 Part 3: Pattern Recognition & Extension

5. Complete these pattern rules:

ODD × ODD = _____________

EVEN × EVEN = _____________

ODD × EVEN = _____________

6. Explain why multiplying any even number by another number always gives an even product:
7. Challenge (Extension): What pattern do you think happens with three numbers? Test your prediction:

ODD × ODD × EVEN = ? Try: 3 × 5 × 2 = _____

EVEN × EVEN × ODD = ? Try: 4 × 6 × 3 = _____

8. Problem Solving: Sarah says "If I multiply two mystery numbers and get 24, at least one of my numbers must be even." Is she correct? Explain your thinking:

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