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

Find the mode and the range

Statistics and probability

CCSS 6.SP.B.5.CEngland: KS3 StatisticsEngland: GCSE Foundation Statistics

Objective and success criteria

Students will: Find the mode and the range.

  • 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: Mean, median, mode and range

Leads to: the next skill in this area.

Materials: Squared paper for charts, Class survey data, Sticky notes for a live chart, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Mean, median, mode and range). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Find the mean of: 9, 11, 15, 17 → 13Prompt: Add all the numbers.
  2. Find the median of: 25, 5, 16, 19, 25 → 19Prompt: Put the numbers in order first.
  3. Find the range of: 14, 13, 20, 10, 12, 10 → 10Prompt: Range = largest − smallest.

Hook · 5 min

  • Take a quick class survey (favorite fruit, travel to school) and ask what the results tell us.
  • Share the objective: Find the mode and the range. 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: What is the mode of: 2, 13, 18, 1, 18, 18, 20, 3?
  • Step 1: 18 appears 3 times.
  • Answer: 18
  • 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. What is the mode of: 26, 26, 26, 30, 10, 18, 14, 25? → 26Prompt: The mode is the value that appears most often.
  2. Midday temperatures (°C) for a week: −1, −6, 19, −8, −1, 24, 24. What is the range? → 32Prompt: Range = highest − lowest.

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. The range of Sofia's quiz scores is 13. The lowest score is 17. What is the highest score? → 30Prompt: Range = highest − lowest.
  2. Midday temperatures (°C) for a week: 2, 10, 18, 7, 13, −2, 2. What is the range? → 20Prompt: Range = highest − lowest.

Watch out for

  • Forgetting to put data in order before finding the median.
  • Reading a bar's height wrongly when the scale goes up in 2s or 5s.

Support and stretch

Support

  • Review first: Mean, median, mode and range.
  • Use concrete materials: squared paper for charts.
  • 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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Find the mode and the range

Name

Date

Score/ 8

  1. Question 1

    What is the mode of: 1, 1, 5, 7, 25, 11, 26, 1?

    Answer

  2. Question 2

    The range of Sofia's quiz scores is 15. The highest score is 25. What is the lowest score?

    Answer

  3. Question 3

    Midday temperatures (°C) for a week: 4, 16, 12, −8, −5, 19, 18. What is the range?

    Answer

  4. Question 4

    What is the mode of: 25, 23, 25, 22, 3, 25, 17, 15?

    Answer

  5. Question 5

    The range of Zara's quiz scores is 12. The highest score is 19. What is the lowest score?

    Answer

  6. Question 6

    Midday temperatures (°C) for a week: −1, −6, −4, 15, 24, 11, −8. What is the range?

    Answer

  7. Question 7

    What is the mode of: 25, 13, 18, 13, 13, 23, 30, 17?

    Answer

  8. Question 8

    The range of Ines's quiz scores is 20. The highest score is 25. What is the lowest score?

    Answer

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Answer key: Find the mode and the range

  1. 1. 1

  2. 2. 10

  3. 3. 27

  4. 4. 25

  5. 5. 7

  6. 6. 32

  7. 7. 13

  8. 8. 5