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Math lesson plan · 8th grade (Year 9 in England) · 30 minutes

Spot outliers and clusters in scatter plots

Statistics and probability

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

Objective and success criteria

Students will: Spot outliers and clusters 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: Describe association in scatter plots

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 · 4 min

  • Quick retrieval from earlier learning (Describe association in scatter plots). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 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?
  2. 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?
  3. What association would you expect between: Age of a car and its resale value? (Positive / Negative / None) → NegativePrompt: Imagine one quantity increasing. What tends to happen to the other?

Hook · 3 min

  • Take a quick class survey (favorite fruit, travel to school) and ask what the results tell us.
  • Share the objective: Spot outliers and clusters in scatter plots. Read the success criteria together.

I do: model it · 7 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Model one question from the student sheet, thinking aloud.
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 6 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.

You do: independent practice · 7 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 2 questions are on the student sheet below, with answers in the key.

Exit ticket · 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.

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: Describe association in scatter plots.
  • 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-8.

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

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Spot outliers and clusters in scatter plots

Name

Date

Score/ 2

  1. Question 1

    Does this scatter plot show a linear or a nonlinear association?

    xy246824681012141618200(1, 8)(2, 5)(3, 2)(4, 1)(5, 0)(6, 1)(7, 2)(8, 5)
    • A. Linear
    • B. Nonlinear
  2. Question 2

    Which point is an outlier in this scatter plot?

    xy1234567896121824300(1, 2)(2, 4)(3, 4)(4, 7)(5, 7)(6, 18)(7, 9)(8, 11)
    • A. (6, 18)
    • B. (8, 11)
    • C. (4, 7)
    • D. (2, 4)

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Answer key: Spot outliers and clusters in scatter plots

  1. 1. B. Nonlinear

  2. 2. A. (6, 18)