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Math lesson plan · 6th grade (Year 7 in England) · 60 minutes

Compare deals to find the better value

Ratio and proportion

CCSS 6.RP.A.3.BEngland: KS3 Ratio, proportion and rates of changeEngland: GCSE Foundation Ratio

Objective and success criteria

Students will: Compare deals to find the better value.

  • 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: Work out unit prices

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 (Work out unit prices). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 10 bus tickets cost $18.80. What is the price for 1? (Type the number only.) → 1.88Prompt: Unit price = total cost ÷ number of items.
  2. A 600 g bag of pasta costs $3.72. What is the cost per 100 g? (Type the number only.) → 0.62Prompt: How many lots of 100 g are in 600 g?
  3. 4 smoothies cost $10.80. At the same price each, how much do 6 smoothies cost? (Type the number only.) → 16.2Prompt: Find the price of one smoothie first.

Hook · 6 min

  • Share a recipe for 4 people and ask how much is needed for 6.
  • Share the objective: Compare deals to find the better value. 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: Pack A: 6 cans of sparkling water for $4.02. Pack B: 8 cans of sparkling water for $4.96. Which pack is better value?
  • Step 1: A: $4.02 ÷ 6 = $0.67
  • Step 2: B: $4.96 ÷ 8 = $0.62
  • Step 3: Pack B is better value.
  • Answer: Pack B
  • 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.
  1. Pack A: 3 cans of sparkling water for $2.25. Pack B: 7 cans of sparkling water for $4.69. Which pack is better value? (Pack A / Pack B) → Pack BPrompt: Find the price of ONE item in each pack.
  2. Phone data plans: Plan A gives 5 GB for $40. Plan B gives 12 GB for $120. Which plan costs less per GB? (Plan A / Plan B) → Plan APrompt: Divide each price by the number of GB.

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.
  1. Pack A: 3 cans of sparkling water for $1.65. Pack B: 12 cans of sparkling water for $7.20. Which pack is better value? (Pack A / Pack B) → Pack APrompt: Find the price of ONE item in each pack.
  2. Phone data plans: Plan A gives 3 GB for $21. Plan B gives 15 GB for $75. Which plan costs less per GB? (Plan A / Plan B) → Plan BPrompt: Divide each price by the number of GB.

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: Work out unit prices.
  • 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

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Compare deals to find the better value

Name

Date

Score/ 8

  1. Question 1

    Phone data plans: Plan A gives 5 GB for $20. Plan B gives 20 GB for $60. Which plan costs less per GB?

    • A. Plan A
    • B. Plan B

  2. Question 2

    Pack A: 2 pens for $1.46. Pack B: 8 pens for $6.48. Which pack is better value?

    • A. Pack A
    • B. Pack B

  3. Question 3

    Which bottle of orange juice is the better buy? A: 1000 ml for $1.20. B: 2500 ml for $2.

    • A. Bottle A
    • B. Bottle B

  4. Question 4

    Phone data plans: Plan A gives 5 GB for $40. Plan B gives 12 GB for $108. Which plan costs less per GB?

    • A. Plan A
    • B. Plan B

  5. Question 5

    Pack A: 5 energy bars for $2.35. Pack B: 10 energy bars for $3.50. Which pack is better value?

    • A. Pack A
    • B. Pack B

  6. Question 6

    Which bottle of orange juice is the better buy? A: 1000 ml for $1.30. B: 2500 ml for $2.50.

    • A. Bottle A
    • B. Bottle B

  7. Question 7

    Phone data plans: Plan A gives 4 GB for $12. Plan B gives 10 GB for $40. Which plan costs less per GB?

    • A. Plan A
    • B. Plan B

  8. Question 8

    Pack A: 5 energy bars for $4. Pack B: 7 energy bars for $4.76. Which pack is better value?

    • A. Pack A
    • B. Pack B

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Answer key: Compare deals to find the better value

  1. 1. B. Plan B

  2. 2. A. Pack A

  3. 3. B. Bottle B

  4. 4. A. Plan A

  5. 5. B. Pack B

  6. 6. B. Bottle B

  7. 7. A. Plan A

  8. 8. B. Pack B