Math lesson plan · 4th grade (Year 5 in England) · 30 minutes
Word problems: a fraction times a whole number
Fractions
CCSS 4.NF.B.4.CEngland: Y5 Fractions
Objective and success criteria
Students will: Word problems: a fraction times a whole number.
- I can answer questions on today's skill on my own, without help.
- I can explain each step and say why it works.
- I can check my answer and spot a mistake.
Before and after
Needs first: Multiply a fraction by a whole number
Leads to: the next skill in this area.
Materials: Fraction strips or a fraction wall, Paper strips to fold, Number lines, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 4 min
- Quick retrieval from earlier learning (Multiply a fraction by a whole number). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- 2 × 1/3 = ? (Give a fraction; it may be improper.) → 2/3Prompt: 2 lots of 1/3 is the same as adding it 2 times.
- Each smoothie uses 2/8 cup of yogurt. Diego makes 6 smoothies. How many cups of yogurt is that? (Simplest form; a whole or mixed number is fine as a fraction.) → 3/2 (1 1/2)Prompt: Multiply the amount for one smoothie by the number of smoothies.
- 4 × 1/3 = ? (Give a fraction; it may be improper.) → 4/3 (1 1/3)Prompt: 4 lots of 1/3 is the same as adding it 4 times.
Hook · 3 min
- Cut a pizza or a strip of paper unevenly and ask whether the pieces are really halves or quarters.
- Share the objective: Word problems: a fraction times a whole number. Read the success criteria together.
I do: model it · 7 min
- Work through the example out loud, saying why you do each step, not just what you do.
- Example: Amara drinks 1/2 of a litre of milk every day. How much milk is that in 3 days? (Write a mixed number or whole number.)
- Step 1: 3 × 1/2 = 3/2
- Step 2: 1 1/2
- Answer: 3/2 (1 1/2)
- Pause after each step and ask a student to say what comes next.
We do: guided practice · 6 min
- Do these together. Students try each step on whiteboards before you reveal it.
- Use the hints as prompts rather than giving the answer.
- Yuki drinks 2/3 of a litre of milk every day. How much milk is that in 5 days? (Write a mixed number or whole number.) → 10/3 (3 1/3)Prompt: Work out 5 × 2/3.
- Which calculation finds 5 groups of 2/3? (2/15 / 5 × 2/3 / 5/3 × 2/3 / 5 + 2/3) → 5 × 2/3Prompt: 'Groups of' means multiply.
You do: independent practice · 7 min
- Students work on the student sheet. Circulate and check the first two answers of every student early.
- Students who finish: write a question of their own for a partner, with the answer.
The 6 questions are on the student sheet below, with answers in the key.
Exit ticket · 3 min
- Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
- Which calculation finds 5 groups of 3/5? (3/25 / 5/5 × 3/5 / 5 + 3/5 / 5 × 3/5) → 5 × 3/5Prompt: 'Groups of' means multiply.
- Jamal says 4 × 3/5 = 12/20. Spot the mistake. What is the right answer? → 12/5 (2 2/5)Prompt: 4 × 3/5 means 3/5 added 4 times.
Watch out for
- Thinking a bigger denominator means a bigger fraction (1/8 > 1/4).
- Adding the denominators when adding fractions (1/2 + 1/3 = 2/5).
Support and stretch
Support
- Review first: Multiply a fraction by a whole number.
- Use concrete materials: fraction strips or a fraction wall.
- Give the first step of each question, or a partly worked example to finish.
- Pair with a confident partner for the guided practice.
Stretch
- Explain a common mistake in writing and how to fix it.
- Write a word problem that uses today's skill, then solve a partner's.
Homework and more practice
Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-4.
Free lesson plan from eurekami.com/lesson-plan-builder