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Number and Algebra Patterns

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Number and Algebra Patterns worksheet preview

Number and Algebra Patterns

Number patterns and algebra illustration

🔍 Part 1: Pattern Detectives

1. Fill in the missing numbers in these skip counting patterns:

a) 25, 50, _____, _____, 125, _____

b) 5, 10, 20, _____, _____, 80

c) 200, 150, 100, _____, _____

2. True or False? Circle your answer and explain:

a) 7 × 5 = 5 × 7

True
False

b) 10 × 3 = 25

True
False

3. What is the pattern rule? Write it in words:

Pattern: 2, 4, 8, 16, 32, ...

4. Continue this pattern and write the next two numbers:

3, 6, 12, 24, _____, _____

📊 Part 2: Scaling and Bar Models

5. Recipe Problem: A cake recipe for 4 people uses 2 cups of flour.

a) How many cups of flour for 8 people? _____

b) How many cups of flour for 12 people? _____

c) Draw a bar model to show your working:

6. Money Scaling: If 2 apples cost $3.00, how much do 6 apples cost?

Show your working using the vertical method:

Answer: $ _____

7. Fill in the missing numbers to make these number sentences true:

a) _____ × 4 = 20

b) 36 ÷ _____ = 6

c) 7 × _____ = 42

d) _____ ÷ 5 = 9

🧮 Part 3: Create Your Own

8. Create your own growing pattern starting with 5. Write the first 6 numbers:

Pattern: 5, _____, _____, _____, _____, _____

Pattern rule: ________________________________

9. Write a real-life problem that uses doubling or halving:
10. Challenge: If this pattern continues, what would be the 8th number?

Pattern: 100, 90, 80, 70, 60, ...

8th number: _____

Explain your thinking:

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