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Math lesson plan · 6th grade (Year 7 in England) · 45 minutes

Compare and order fractions, decimals and percentages

Decimals and percentages

CCSS 6.RP.A.3.CCCSS 7.NS.A.2.DEngland: KS3 NumberEngland: GCSE Foundation Number

Objective and success criteria

Students will: Compare and order fractions, decimals and percentages.

  • 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: Change fractions and decimals into percentages

Leads to: the next skill in this area.

Materials: Place value chart with tenths and hundredths, Hundred squares, Number lines, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Change fractions and decimals into percentages). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Write 7/20 as a percentage. → 35Prompt: Make an equivalent fraction with denominator 100.
  2. Write 0.4 as a percentage. → 40Prompt: Percent means “out of 100”.
  3. Write 7/8 as a percentage. → 87.5Prompt: Divide 7 by 8 to get a decimal.

Hook · 5 min

  • Show two prices or race times with decimals and ask which is bigger, then why.
  • Share the objective: Compare and order fractions, decimals and percentages. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Which is the largest?
  • Step 1: 0.6 = 60%, 20% = 20%, 9/20 = 45%, 0.9 = 90%
  • Step 2: Largest: 0.9
  • Answer: 0.9
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 10 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. Which is the largest? (0.625 / 40% / 0.7 / 1/5) → 0.7Prompt: Write each one as a percentage.
  2. In a class vote, 3/4 of students chose a trip to the science museum. Zara says that is more than 77%. Is Zara right? (Yes / No) → NoPrompt: Turn 3/4 into a percentage.

You do: independent practice · 10 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 · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Which is the largest? (0.6 / 0.75 / 1/2 / 45%) → 0.75Prompt: Write each one as a percentage.
  2. In a class vote, 9/20 of students chose a trip to the science museum. Isla says that is more than 40%. Is Isla right? (Yes / No) → YesPrompt: Turn 9/20 into a percentage.

Watch out for

  • Thinking 0.45 is bigger than 0.5 because 45 is bigger than 5.
  • Moving the digits the wrong way when multiplying or dividing by 10.

Support and stretch

Support

  • Review first: Change fractions and decimals into percentages.
  • Use concrete materials: place value chart with tenths and hundredths.
  • 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 and order fractions, decimals and percentages

Name

Date

Score/ 8

  1. Question 1

    Which is the largest?

    • A. 0.25
    • B. 80%
    • C. 0.5
    • D. 2/5

  2. Question 2

    In a class vote, 3/5 of students chose a trip to the science museum. Ana says that is more than 58%. Is Ana right?

    • A. Yes
    • B. No

  3. Question 3

    In a class vote, 7/10 of students chose a trip to the science museum. Daniel says that is more than 65%. Is Daniel right?

    • A. Yes
    • B. No

  4. Question 4

    In a class vote, 3/4 of students chose a trip to the science museum. Mei says that is more than 73%. Is Mei right?

    • A. Yes
    • B. No

  5. Question 5

    In a class vote, 4/25 of students chose a trip to the science museum. Omar says that is more than 21%. Is Omar right?

    • A. Yes
    • B. No

  6. Question 6

    In a class vote, 4/25 of students chose a trip to the science museum. Kai says that is more than 18%. Is Kai right?

    • A. Yes
    • B. No

  7. Question 7

    In a class vote, 2/5 of students chose a trip to the science museum. Tariq says that is more than 35%. Is Tariq right?

    • A. Yes
    • B. No

  8. Question 8

    In a class vote, 4/25 of students chose a trip to the science museum. Ana says that is more than 14%. Is Ana right?

    • A. Yes
    • B. No

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Answer key: Compare and order fractions, decimals and percentages

  1. 1. B. 80%

  2. 2. A. Yes

  3. 3. A. Yes

  4. 4. A. Yes

  5. 5. B. No

  6. 6. B. No

  7. 7. A. Yes

  8. 8. A. Yes