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Math lesson plan · 8th grade (Year 9 in England) · 60 minutes

Describe association in scatter plots

Statistics and probability

CCSS 8.SP.A.1England: KS3 StatisticsEngland: GCSE Foundation Statistics

Objective and success criteria

Students will: Describe association in scatter plots.

  • 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: Scatter graphs and correlation

Leads to: Make predictions with a line of best fit; Spot outliers and clusters in scatter plots

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

Warm-up · 6 min

  • Quick retrieval from earlier learning (Scatter graphs and correlation). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.

Hook · 6 min

  • Take a quick class survey (favorite fruit, travel to school) and ask what the results tell us.
  • Share the objective: Describe association in scatter plots. 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: What association would you expect between: Outside temperature and heating bill?
  • Step 1: Negative
  • Answer: Negative
  • 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. What association would you expect between: Height of a tree and the length of its shadow at noon? (Positive / Negative / None) → PositivePrompt: Imagine one quantity increasing. What tends to happen to the other?
  2. What association would you expect between: Outside temperature and heating bill? (Positive / Negative / None) → NegativePrompt: Imagine one quantity increasing. What tends to happen to the other?

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 7 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. What association would you expect between: Hours spent revising and test score? (Positive / Negative / None) → PositivePrompt: Imagine one quantity increasing. What tends to happen to the other?
  2. What association would you expect between: Shoe size and favourite number? (Positive / Negative / None) → NonePrompt: Imagine one quantity increasing. What tends to happen to the other?

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: Scatter graphs and correlation.
  • 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

  • Move on to: Make predictions with a line of best fit; Spot outliers and clusters in scatter plots.
  • 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-8.

Free lesson plan from eurekami.com/lesson-plan-builder

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Describe association in scatter plots

Name

Date

Score/ 7

  1. Question 1

    What association would you expect between: Shoe size and favourite number?

    • A. Positive
    • B. Negative
    • C. None
  2. Question 2

    What kind of association does the scatter plot show?

    xy24681024681012140(1, 4)(2, 7)(4, 2)(5, 8)(6, 4)(7, 10)(8, 4)(9, 10)(10, 1)
    • A. Positive association
    • B. Negative association
    • C. No association
  3. Question 3

    What association would you expect between: Height of a tree and the length of its shadow at noon?

    • A. Positive
    • B. Negative
    • C. None
  4. Question 4

    What association would you expect between: Daily screen time and hours of sleep?

    • A. Positive
    • B. Negative
    • C. None
  5. Question 5

    What association would you expect between: Outside temperature and heating bill?

    • A. Positive
    • B. Negative
    • C. None
  6. Question 6

    What association would you expect between: Age of a car and its resale value?

    • A. Positive
    • B. Negative
    • C. None
  7. Question 7

    What association would you expect between: Hours spent revising and test score?

    • A. Positive
    • B. Negative
    • C. None

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Answer key: Describe association in scatter plots

  1. 1. C. None

  2. 2. C. No association

  3. 3. A. Positive

  4. 4. B. Negative

  5. 5. B. Negative

  6. 6. B. Negative

  7. 7. A. Positive