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Divisibility Rules Practice

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Divisibility Rules Practice

Math symbols and numbers

🎯 Learning Goals

I can:

• Apply divisibility rules for 2, 3, 5, 9, and 10

• Use divisibility rules to solve real-world problems

• Explain my reasoning using mathematical language

Success Criteria:

✓ I can identify if a number is divisible without calculating

✓ I can solve team formation problems using divisibility

✓ I can explain why a divisibility rule works

🎮 Part 1: Gaming Tournament Teams

The Sutton Gaming Club is organizing tournaments! Help them form equal teams.

1. There are 84 players signed up for the tournament. Can they form equal teams of:

2 players? (Check if 84 is divisible by 2)

3 players? (Check if 84 is divisible by 3)

5 players? (Check if 84 is divisible by 5)

9 players? (Check if 84 is divisible by 9)

2. The club has 135 prize tokens to divide equally. Which team sizes will work?

Teams of 3 only

Teams of 5 only

Teams of 3 or 5

Teams of 9 only

3. Quick Check! Circle the numbers that are divisible by 10:

240    157    890    1,005    2,670

4. The tournament has 216 participants. Show your work to prove it's divisible by 9:

🧠 Part 2: Explain Your Thinking

5. Maya says "Any number ending in 0 is divisible by both 2 and 5." Is she correct? Explain why or why not:
6. Create your own problem: Write a 3-digit number that is divisible by both 3 and 5. Show how you know it works:

My number: _______

7. Challenge for Advanced Learners: Find the largest 4-digit number that is divisible by 2, 3, and 5. Explain your strategy:

📚 Divisibility Rules Reference

Quick Reference (Dyslexia-Friendly):

Divisible by 2: Last digit is 0, 2, 4, 6, or 8

Divisible by 3: Sum of all digits is divisible by 3

Divisible by 5: Last digit is 0 or 5

Divisible by 9: Sum of all digits is divisible by 9

Divisible by 10: Last digit is 0

Differentiation Options:

• Use a calculator to check your answers

• Work with a partner to discuss strategies

• Focus on rules for 2, 5, and 10 first, then add 3 and 9

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