🎯 I Can Statement

I can identify exponents as repeated multiplication and explain what the base and exponent mean.

📚 Part 1: Understanding Exponents

✏️ Part 2: Writing Exponents

a) 3 × 3 × 3 × 3 = _______

b) 7 × 7 = _______

c) 10 × 10 × 10 = _______

a) 2³ = _________________

b) 5² = _________________

c) 4⁴ = _________________

a) 2³ = _______ b) 5² = _______ c) 10³ = _______

🧠 Part 3: Explain Your Thinking

📋 Answer Key with Explanations

1. What does 2³ mean?
✓ 2 × 2 × 2
Explanation: The exponent 3 tells us to multiply the base (2) by itself 3 times.

2. In the expression 5², which number is the base?
✓ 5
Explanation: The base is the larger number that gets multiplied. The small number (2) is the exponent.

3. Which expressions show repeated multiplication?
✓ 4 × 4 × 4 (same number repeated)
✓ 6 × 6 (same number repeated)
Explanation: Repeated multiplication means the same number multiplied by itself multiple times.

4. Write each repeated multiplication as an exponent:
a) 3 × 3 × 3 × 3 = 3⁴ (base 3, exponent 4)
b) 7 × 7 = 7² (base 7, exponent 2)
c) 10 × 10 × 10 = 10³ (base 10, exponent 3)

5. Expand each exponent:
a) 2³ = 2 × 2 × 2
b) 5² = 5 × 5
c) 4⁴ = 4 × 4 × 4 × 4

6. Calculate the value:
a) 2³ = 2 × 2 × 2 = 8
b) 5² = 5 × 5 = 25
c) 10³ = 10 × 10 × 10 = 1,000

7. Sample answer: An exponent tells us how many times to multiply the base number by itself.

8. Extension answer: 2⁵ = 32. Since 2⁴ = 16, and 2⁵ means one more multiplication by 2, then 16 × 2 = 32.

🎯 Success Criteria

Student successfully demonstrates understanding if they can:

• Identify the base and exponent in exponential notation
• Convert between repeated multiplication and exponential form
• Calculate simple exponential values
• Explain what an exponent represents in their own words

📚 Differentiation Notes

Support for struggling learners: Use manipulatives or draw pictures to show repeated groups.
Dyslexia-friendly: Allow verbal explanations instead of written responses for questions 7-8.
Extension: Challenge advanced students with larger exponents or negative bases.