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

Find the slope from a graph using rise over run

Algebra

CCSS 8.EE.B.5CCSS 8.F.B.4England: KS3 AlgebraEngland: GCSE Foundation Algebra

Objective and success criteria

Students will: Find the slope from a graph using rise over run.

  • 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: Slope (gradient) of a line

Leads to: Write y = mx + b from a slope and intercept, or from a graph

Materials: Balance scales or a balance drawing, Algebra tiles, Function machine cards, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 6 min

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

Hook · 6 min

  • Show a "think of a number" puzzle and ask the class to work out the starting number.
  • Share the objective: Find the slope from a graph using rise over run. 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.
  • 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 · 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.

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 8 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.

Watch out for

  • Doing an operation to one side of an equation but not the other.
  • Reading 3x as 3 + x, or thinking x always stands for one particular number.

Support and stretch

Support

  • Review first: Slope (gradient) of a line.
  • Use concrete materials: balance scales or a balance drawing.
  • 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: Write y = mx + b from a slope and intercept, or from a graph.
  • 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

eurekami

Find the slope from a graph using rise over run

Name

Date

Score/ 8

  1. Question 1

    The line passes through the marked points (0, 3) and (1, 2). What is its slope? Give a whole number or fraction.

    xy−66−12−66120y = −x + 3(0, 3)(1, 2)

    Answer(as a fraction)

  2. Question 2

    A line goes through (−1, −6) and (2, −3). Is its slope positive or negative, and what is it?

    xy−6−4−2246−20−16−12−8−4481216200y = x − 5AB

    Answer

  3. Question 3

    The line passes through the marked points (0, 4) and (3, −2). What is its slope? Give a whole number or fraction.

    xy−66−12−66120y = −2x + 4(0, 4)(3, −2)

    Answer(as a fraction)

  4. Question 4

    A line goes through (−1, −2) and (2, −8). Is its slope positive or negative, and what is it?

    xy−6−4−2246−20−16−12−8−4481216200y = −2x − 4AB

    Answer

  5. Question 5

    The line passes through the marked points (0, 1) and (2, 3). What is its slope? Give a whole number or fraction.

    xy−66−12−66120y = x + 1(0, 1)(2, 3)

    Answer(as a fraction)

  6. Question 6

    A line goes through (0, −1) and (3, 5). Is its slope positive or negative, and what is it?

    xy−6−4−2246−20−16−12−8−4481216200y = 2x − 1AB

    Answer

  7. Question 7

    The line passes through the marked points (0, 0) and (3, −2). What is its slope? Give a whole number or fraction.

    xy−66−12−66120y = −0.666666667x(0, 0)(3, −2)

    Answer(as a fraction)

  8. Question 8

    A line goes through (−1, 4) and (3, −8). Is its slope positive or negative, and what is it?

    xy−6−4−2246−20−16−12−8−4481216200y = −3x + 1AB

    Answer

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Answer key: Find the slope from a graph using rise over run

  1. 1. -1

  2. 2. 1

  3. 3. -2

  4. 4. -2

  5. 5. 1

  6. 6. 2

  7. 7. -2/3

  8. 8. -3