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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 = 5x + 6. Predict the score for 12 hours of study.

    xy246810121481624324048566472800y = 5x + 6

    Answer

  2. Question 2

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

    xy24681024681012140(1, 2)(2, 5)(3, 6)(4, 7)(5, 8)(6, 7)(7, 8)(8, 11)
    • 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 = 2x + 9. Predict the score for 8 hours of study.

    xy246810121481624324048566472800y = 2x + 9

    Answer

  4. Question 4

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

    xy24681024681012140(1, 9)(2, 10)(3, 8)(4, 6)(5, 6)(6, 6)(7, 3)(8, 4)
    • 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 + 1. Predict the score for 4 hours of study.

    xy246810121481624324048566472800y = 2x + 1

    Answer

  6. Question 6

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

    xy24681024681012140(1, 11)(2, 8)(3, 9)(4, 8)(5, 5)(6, 4)(7, 5)(8, 3)
    • 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 = 3x + 10. Predict the score for 8 hours of study.

    xy246810121481624324048566472800y = 3x + 10

    Answer

  8. Question 8

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

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

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Answer key: Scatter graphs and correlation

  1. 1. 66

  2. 2. A. Positive

  3. 3. 25

  4. 4. B. Negative

  5. 5. 9

  6. 6. B. Negative

  7. 7. 34

  8. 8. B. Negative