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Algebra Patterns and Equations

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Algebra Patterns and Equations

Algebra patterns illustration

🎯 WALT (We Are Learning To):

• Understand and check the truth of number sentences including open number sentences

• Develop and articulate rules for growing numeric patterns using words and tables

• Make predictions about subsequent elements in a pattern

📊 Part 1: True or False Number Sentences

1. Circle TRUE or FALSE for each number sentence:

a) 8 + 7 = 15     TRUE / FALSE

b) 24 ÷ 6 = 3     TRUE / FALSE

c) 5 × 9 = 46     TRUE / FALSE

d) 18 - 9 = 9     TRUE / FALSE

2. Complete these open number sentences:

a) 45 + _____ = 72

b) 100 - _____ = 63

c) _____ × 6 = 48

d) 56 ÷ _____ = 8

3. Check if this number sentence is true. Show your working:

235 + 48 - 15 = 268

🔢 Part 2: Growing Patterns

4. Look at this growing pattern: 3, 7, 11, 15, 19, ...

a) What is the rule? (Describe in words)

b) What would be the 6th term? _____

c) What would be the 8th term? _____

5. Complete this pattern table:
Position 1st 2nd 3rd 4th 5th
Term 5 10 15 ____ ____

What is the rule for this pattern?

6. Create your own growing pattern:

Write the first 5 terms: _____, _____, _____, _____, _____

Describe your rule in words:

🌟 Extension Challenge (Advanced Learners)

7. Look at this pattern: 2, 6, 12, 20, 30, ...

This pattern doesn't add the same number each time. Can you work out the rule?

What would be the next two terms? _____ and _____

8. Real-life pattern problem:

A school is building steps for their new playground. The bottom step uses 4 blocks, the second step uses 7 blocks, the third step uses 10 blocks. If this pattern continues, how many blocks will the 6th step need?

Answer: _____ blocks

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