Math lesson plan · 6th grade (Year 7 in England) · 30 minutes
Ratio tables and double number lines
Ratio and proportion
CCSS 6.RP.A.3.AEngland: Y6 Ratio and proportionEngland: KS3 Ratio
Objective and success criteria
Students will: Ratio tables and double number lines.
- 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: Understand ratios
Leads to: Proportional relationships; Dependent and independent variables; Complete ratio tables
Materials: Bar models, Double number lines, Ratio tables, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 4 min
- Quick retrieval from earlier learning (Understand ratios). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- Simplify the ratio 8:8. Type it like 3:2. → 1:1Prompt: Find a number that divides both parts.
- 2:5 = 12:__ → 30Prompt: Equivalent ratios are made by multiplying both parts by the same number.
- Simplify the ratio 40:32. Type it like 3:2. → 5:4Prompt: Find a number that divides both parts.
Hook · 3 min
- Share a recipe for 4 people and ask how much is needed for 6.
- Share the objective: Ratio tables and double number lines. 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: A recipe uses 5 eggs for every 5 pancakes. Complete the table: eggs 5, 10, 25; pancakes 5, 10, __
- Step 1: 25 ÷ 5 = 5
- Step 2: 5 × 5 = 25
- Answer: 25
- 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.
- A recipe uses 4 eggs for every 9 pancakes. Complete the table: eggs 4, 8, 24; pancakes 9, 18, __ → 54Prompt: How many times 4 is 24?
- A recipe uses 4 eggs for every 3 pancakes. Complete the table: eggs 4, 8, 16; pancakes 3, 6, __ → 12Prompt: How many times 4 is 16?
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.
- A recipe uses 3 eggs for every 7 pancakes. Complete the table: eggs 3, 6, 12; pancakes 7, 14, __ → 28Prompt: How many times 3 is 12?
- A recipe uses 4 eggs for every 7 pancakes. Complete the table: eggs 4, 8, 28; pancakes 7, 14, __ → 49Prompt: How many times 4 is 28?
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: Understand ratios.
- 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
- Move on to: Proportional relationships; Dependent and independent variables; Complete ratio tables.
- 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