📚 Part 1: Multiple Choice & Quick Conversions

WALT: Convert between mixed numbers and improper fractions.

Success criteria: I can convert at least three mixed numbers to improper fractions and three improper fractions to mixed numbers, and use a number line to show one conversion.

1. Convert 2 3/5 to an improper fraction.

13/5

5/13

11/5

7/5

2. Convert 17/4 to a mixed number.

4 1/4

3 1/4

4 3/4

5 1/4

3. Which improper fraction is equivalent to 3 2/3?

11/3

9/3

14/3

5/3

4. Check all that apply: Which statements are true?

6/4 = 1 2/4

9/3 = 3

5/2 = 2 1/2

7/5 = 1 3/5

✏️ Part 2: Short Answers & Number Lines

5. Convert 4 7/8 to an improper fraction. Show working.

6. Convert 22/6 to a mixed number. Show working and give the answer in lowest terms.

7. Draw a number line from 0 to 5 and mark 3 1/4 clearly. Label your point.

8. Word problem: A recipe needs 2 1/2 cups of flour. You have 9/4 cups. How much more flour is needed? Show your conversion and final answer.

🌟 Extension & Reflection

9. Extension (create & convert): Write a short real-world problem that uses a mixed number (for example, measuring or baking). Then convert the mixed number in your problem to an improper fraction.

10. Self-assessment and differentiation

Tick the boxes that describe your confidence today:

I can convert mixed numbers to improper fractions without help.

I can convert improper fractions to mixed numbers without help.

I used a number line or fraction strips to support my thinking.

Differentiation strategies (teacher notes): Use number lines or fraction strips for students needing support; offer extra-challenge problems (multiple-step measurements or recipe scaling) for advanced learners; pair students to explain conversions aloud to develop mathematical language.