Math lesson plan · 6th grade (Year 7 in England) · 60 minutes
Complete ratio tables
Ratio and proportion
CCSS 6.RP.A.3.AEngland: KS3 Ratio, proportion and rates of change
Objective and success criteria
Students will: Complete ratio tables.
- 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: Ratio tables and double number lines
Leads to: the next skill in this area.
Materials: Bar models, Double number lines, Ratio tables, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 6 min
- Quick retrieval from earlier learning (Ratio tables and double number lines). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- A recipe uses 4 eggs for every 9 pancakes. Complete the table: eggs 4, 8, 20; pancakes 9, 18, __ → 45Prompt: How many times 4 is 20?
- A recipe uses 3 eggs for every 4 pancakes. Complete the table: eggs 3, 6, 9; pancakes 4, 8, __ → 12Prompt: How many times 3 is 9?
- A recipe uses 5 eggs for every 6 pancakes. Complete the table: eggs 5, 10, 30; pancakes 6, 12, __ → 36Prompt: How many times 5 is 30?
Hook · 6 min
- Share a recipe for 4 people and ask how much is needed for 6.
- Share the objective: Complete ratio tables. Read the success criteria together.
I do: model it · 12 min
- Work through the example out loud, saying why you do each step, not just what you do.
- Example: Complete the ratio table. Laps run: 2, 4, 10, 14. Minutes: 4, 8, 20, ?
- Step 1: 14 ÷ 2 = 7
- Step 2: 4 × 7 = 28
- Answer: 28
- Pause after each step and ask a student to say what comes next.
We do: guided practice · 12 min
- Do these together. Students try each step on whiteboards before you reveal it.
- Use the hints as prompts rather than giving the answer.
- Complete the ratio table. Laps run: 5, 10, 15, 30. Minutes: 7, 14, 21, ? → 42Prompt: How many times bigger is 30 than 5?
- Students : buses = 60 : 10. How many buses for 150 students at the same rate? → 25Prompt: Go down to a simpler ratio first by dividing both parts.
You do: independent practice · 17 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 8 questions are on the student sheet below, with answers in the key.
Exit ticket · 7 min
- Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
- Students : buses = 90 : 18. How many buses for 180 students at the same rate? → 36Prompt: Go down to a simpler ratio first by dividing both parts.
- Complete the ratio table. Laps run: 2, 4, 8, 14. Minutes: 5, 10, 20, ? → 35Prompt: How many times bigger is 14 than 2?
Watch out for
- Adding the same amount to both parts instead of multiplying.
- Mixing up part-to-part and part-to-whole ratios.
Support and stretch
Support
- Review first: Ratio tables and double number lines.
- Use concrete materials: bar models.
- 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-6.
Free lesson plan from eurekami.com/lesson-plan-builder