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Math lesson plan 路 8th grade (Year 9 in England) 路 45 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 5 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 5 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 10 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 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.

You do: independent practice 路 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 路 5 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/ 8

  1. Question 1

    The line of best fit for hours studied (x) and test score (y) is y = 2x + 4. Predict the score for 10 hours of study.

    xy246810121481624324048566472800y = 2x + 4

    Answer

  2. Question 2

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

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

    The line of best fit for hours studied (x) and test score (y) is y = 3x + 9. Predict the score for 6 hours of study.

    xy246810121481624324048566472800y = 3x + 9

    Answer

  4. Question 4

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

    xy24681024681012140(1, 4)(2, 4)(3, 6)(4, 5)(5, 8)(6, 7)(7, 10)(8, 11)
    • A. Positive
    • B. Negative
    • C. No correlation
  5. Question 5

    The line of best fit for hours studied (x) and test score (y) is y = 2x + 5. Predict the score for 7 hours of study.

    xy246810121481624324048566472800y = 2x + 5

    Answer

  6. Question 6

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

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

    The line of best fit for hours studied (x) and test score (y) is y = 2x + 6. Predict the score for 10 hours of study.

    xy246810121481624324048566472800y = 2x + 6

    Answer

  8. Question 8

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

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

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Answer key: Scatter graphs and correlation

  1. 1. 24

  2. 2. B. Negative

  3. 3. 27

  4. 4. A. Positive

  5. 5. 19

  6. 6. C. No correlation

  7. 7. 26

  8. 8. C. No correlation