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Odd Even Multiplication Patterns

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Odd Even Multiplication Patterns

Multiplication patterns illustration

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

📚 Part 1: Identifying Odd and Even Numbers

1. Circle the odd numbers and put a square around the even numbers:

7     12     15     8     23     16     9     20

2. Complete the multiplication and identify if each number is odd (O) or even (E):

3 × 5 = _____    3 is _____    5 is _____    Product is _____

4 × 6 = _____    4 is _____    6 is _____    Product is _____

7 × 2 = _____    7 is _____    2 is _____    Product is _____

9 × 3 = _____    9 is _____    3 is _____    Product is _____

🔍 Part 2: Pattern Investigation

3. Use the multiplication results below to complete the pattern table:

Given: 2×4=8, 3×7=21, 5×6=30, 8×9=72, 4×7=28, 3×5=15

Odd × Odd = _____________

Examples: _____ × _____ = _____ and _____ × _____ = _____


Odd × Even = _____________

Examples: _____ × _____ = _____ and _____ × _____ = _____


Even × Even = _____________

Examples: _____ × _____ = _____ and _____ × _____ = _____

4. Test your pattern! Predict whether each product will be odd or even, then calculate:

Prediction: 6 × 8 will be _______     Calculation: 6 × 8 = _____

Prediction: 7 × 9 will be _______     Calculation: 7 × 9 = _____

Prediction: 4 × 11 will be _______     Calculation: 4 × 11 = _____

5. Which statement is always true?

When you multiply two odd numbers, you always get an even number

When you multiply an odd and even number, you always get an odd number

When you multiply any number by an even number, you always get an even number

Multiplication patterns are unpredictable

✏️ Part 3: Explaining Your Thinking

6. Why do you think multiplying any number by an even number always gives an even product? Use words, numbers, or drawings to explain:
7. Extension Challenge: What pattern would you get if you multiplied three numbers together? Test these and explain:

Odd × Odd × Odd: 3 × 5 × 7 = _____

Odd × Odd × Even: 3 × 5 × 2 = _____

Even × Even × Even: 2 × 4 × 6 = _____

8. Real World Connection: If you arrange 6 rows of 8 chairs for a school assembly, will you have an odd or even number of chairs? Explain using your pattern knowledge:

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