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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: 16, 17, 18, 18, 16 → 17Prompt: Add all the numbers.
  2. Find the median of: 29, 19, 21, 7, 2, 24, 10 → 19Prompt: Put the numbers in order first.
  3. Find the mode of: 13, 15, 6, 8, 19, 15 → 15Prompt: The mode is the value that appears most often.

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: 10, 5, 27, 1, 26, 1, 1, 14? → 1Prompt: The mode is the value that appears most often.
  2. Midday temperatures (°C) for a week: 17, 8, 10, 20, 4, 24, 20. What is the range? → 20Prompt: 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. What is the mode of: 28, 17, 28, 25, 4, 10, 30, 28? → 28Prompt: The mode is the value that appears most often.
  2. Midday temperatures (°C) for a week: 2, −7, 7, 1, 17, −4, −2. What is the range? → 24Prompt: 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

eurekami

Find the mode and the range

Name

Date

Score/ 8

  1. Question 1

    What is the mode of: 29, 30, 8, 5, 15, 5, 17, 5?

    Answer

  2. Question 2

    Midday temperatures (°C) for a week: 7, −5, 20, 5, 15, 16, 18. What is the range?

    Answer

  3. Question 3

    The range of Yuki's quiz scores is 25. The highest score is 35. What is the lowest score?

    Answer

  4. Question 4

    What is the mode of: 18, 11, 3, 18, 1, 27, 9, 18?

    Answer

  5. Question 5

    Midday temperatures (°C) for a week: 20, 24, −5, 23, 5, 8, −2. What is the range?

    Answer

  6. Question 6

    The range of Felix's quiz scores is 23. The highest score is 29. What is the lowest score?

    Answer

  7. Question 7

    What is the mode of: 7, 29, 26, 11, 26, 6, 26, 20?

    Answer

  8. Question 8

    Midday temperatures (°C) for a week: 3, 23, −8, −1, 5, 19, 8. What is the range?

    Answer

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Answer key: Find the mode and the range

  1. 1. 5

  2. 2. 25

  3. 3. 10

  4. 4. 18

  5. 5. 29

  6. 6. 6

  7. 7. 26

  8. 8. 31