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

Scatter graphs and correlation

Statistics and probability

CCSS 8.SP.A.1CCSS 8.SP.A.2CCSS 8.SP.A.3England: KS3 StatisticsEngland: GCSE Foundation Statistics

Objective and success criteria

Students will: Scatter graphs and correlation.

  • 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: Coordinates in the first quadrant; Slope (gradient) of a line

Leads to: Linear regression and correlation coefficient; Describe association in scatter plots; Interpret correlation coefficients and avoid the causation trap

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

Warm-up 路 4 min

  • Quick retrieval from earlier learning (Coordinates in the first quadrant; Slope (gradient) of a line). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.

Hook 路 3 min

  • Take a quick class survey (favorite fruit, travel to school) and ask what the results tell us.
  • Share the objective: Scatter graphs and correlation. Read the success criteria together.

I do: model it 路 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 路 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 路 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 6 questions are on the student sheet below, with answers in the key.

Exit ticket 路 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: Coordinates in the first quadrant.
  • 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: Linear regression and correlation coefficient; Describe association in scatter plots; Interpret correlation coefficients and avoid the causation trap.
  • 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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Scatter graphs and correlation

Name

Date

Score/ 6

  1. Question 1

    Noah plotted two measurements for 8 plants in a scatter graph. What type of correlation does it show?

    xy24681024681012140(1, 3)(2, 4)(3, 6)(4, 7)(5, 6)(6, 9)(7, 8)(8, 11)
    • A. Positive
    • B. Negative
    • C. No correlation
  2. Question 2

    The line of best fit for hours studied (x) and test score (y) is y = 3x + 1. Predict the score for 9 hours of study.

    xy246810121481624324048566472800y = 3x + 1

    Answer

  3. Question 3

    Isla plotted two measurements for 8 plants in a scatter graph. What type of correlation does it show?

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

    The line of best fit for hours studied (x) and test score (y) is y = 3x + 3. Predict the score for 10 hours of study.

    xy246810121481624324048566472800y = 3x + 3

    Answer

  5. Question 5

    Ravi plotted two measurements for 8 plants in a scatter graph. What type of correlation does it show?

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

    The line of best fit for hours studied (x) and test score (y) is y = 3x + 2. Predict the score for 4 hours of study.

    xy246810121481624324048566472800y = 3x + 2

    Answer

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Answer key: Scatter graphs and correlation

  1. 1. A. Positive

  2. 2. 28

  3. 3. B. Negative

  4. 4. 33

  5. 5. C. No correlation

  6. 6. 14