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Algebraic Properties Introduction

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Algebraic Properties Introduction

Mathematical symbols and equations

📚 Part 1: Understanding the Commutative Property

WALT: Understand what the commutative property is and how it works with addition and multiplication.

1. Look at these number pairs. Circle the ones that have the same answer:

3 + 7 and 7 + 3

5 × 4 and 4 × 5

8 - 3 and 3 - 8

6 + 2 and 2 + 6

2. The commutative property means:

You can only add numbers in order

Changing the order doesn't change the answer

Multiplication is harder than addition

You must always use the same numbers

3. Which operations follow the commutative property?

Addition

Subtraction

Multiplication

Division

4. Complete these equations to show the commutative property:

a) 9 + 4 = _____ + 9

b) 7 × 3 = 3 × _____

c) a + b = _____ + _____

d) x × y = _____ × _____

✏️ Part 2: Show Your Understanding

5. Use the space below to draw or write an example that shows the commutative property using real objects (like apples, books, or toys):
6. Explain the commutative property in your own words:
7. Create your own number examples:

Write two addition equations that show the commutative property:

_________________ = _________________

Write two multiplication equations that show the commutative property:

_________________ = _________________

8. Extension Challenge: If a = 5 and b = 8, show that a + b = b + a by substituting the values:

🎯 Part 3: Reflection

9. Why do you think the commutative property is useful in mathematics?
10. True or False: The equation 15 - 7 = 7 - 15 shows the commutative property.

True

False

Explain your answer: _________________________________

Success Criteria Check: Tick the boxes you can do confidently:

I can explain the commutative property in my own words

I can show examples using numbers

I can write equations that demonstrate this property

I understand which operations this applies to

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