Back to the lesson plan builder
Lesson length30 min45 min60 min
Questions🔀 New questions

Print the plan for yourself; the student sheet prints on its own page after it.

Math lesson plan · 6th grade (Year 7 in England) · 45 minutes

Lengths, perimeters and areas from coordinates

Geometry

CCSS 6.G.A.3CCSS 6.NS.C.8England: KS3 Geometry and measures

Objective and success criteria

Students will: Lengths, perimeters and areas from coordinates.

  • 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 all four quadrants; Distance between two integers

Leads to: the next skill in this area.

Materials: Rulers and protractors, Squared or dotted paper, Shape cut-outs, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Coordinates in all four quadrants; Distance between two integers). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.

Hook · 5 min

  • Show a photo of a building, a tile pattern or a road sign and ask what shapes and angles students can spot.
  • Share the objective: Lengths, perimeters and areas from coordinates. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Point A is (4, −3). Point B is directly below A, 9 units away. What are the coordinates of B? Type them like (2, −3).
  • Step 1: −3 − 9 = −12
  • Step 2: (4, −12)
  • Answer: (4, −12)
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 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.
  1. Point A is (−1, −8). Point B is directly above A, 9 units away. What are the coordinates of B? Type them like (2, −3). → (−1, 1)Prompt: Moving straight up or down changes only the y-coordinate.
  2. Point A is (3, −1). Point B is directly below A, 3 units away. What are the coordinates of B? Type them like (2, −3). → (3, −4)Prompt: Moving straight up or down changes only the y-coordinate.

You do: independent practice · 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 · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Point A is (−2, −8). Point B is directly above A, 6 units away. What are the coordinates of B? Type them like (2, −3). → (−2, −2)Prompt: Moving straight up or down changes only the y-coordinate.
  2. Point A is (−5, −1). Point B is directly below A, 6 units away. What are the coordinates of B? Type them like (2, −3). → (−5, −7)Prompt: Moving straight up or down changes only the y-coordinate.

Watch out for

  • Thinking a square turned on its corner is no longer a square.
  • Reading the wrong scale on a protractor.

Support and stretch

Support

  • Review first: Coordinates in all four quadrants.
  • Use concrete materials: rulers and protractors.
  • 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-6.

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

eurekami

Lengths, perimeters and areas from coordinates

Name

Date

Score/ 8

  1. Question 1

    Point A is (4, 0). Point B is directly below A, 5 units away. What are the coordinates of B? Type them like (2, −3).

    Answer

  2. Question 2

    A rectangle has vertices (−1, −4), (6, −4), (6, 6) and (−1, 6). What is its perimeter, in units?

    xy−10−8−6−4−2246810−10−8−6−4−22468100

    Answer

  3. Question 3

    How long is the line segment from (−2, 6) to (6, 6)?

    xy−10−8−6−4−2246810−10−8−6−4−22468100AB

    Answer

  4. Question 4

    Point A is (6, −1). Point B is directly above A, 3 units away. What are the coordinates of B? Type them like (2, −3).

    Answer

  5. Question 5

    A rectangle has vertices (−4, −6), (1, −6), (1, 5) and (−4, 5). What is its area, in square units?

    xy−10−8−6−4−2246810−10−8−6−4−22468100

    Answer

  6. Question 6

    How long is the line segment from (−7, −6) to (1, −6)?

    xy−10−8−6−4−2246810−10−8−6−4−22468100AB

    Answer

  7. Question 7

    Point A is (5, −2). Point B is directly above A, 9 units away. What are the coordinates of B? Type them like (2, −3).

    Answer

  8. Question 8

    A rectangle has vertices (−4, −1), (2, −1), (2, 1) and (−4, 1). What is its area, in square units?

    xy−10−8−6−4−2246810−10−8−6−4−22468100

    Answer

Free from eurekami.com

for the adult only

Answer key: Lengths, perimeters and areas from coordinates

  1. 1. (4, −5)

  2. 2. 34

  3. 3. 8

  4. 4. (6, 2)

  5. 5. 55

  6. 6. 8

  7. 7. (5, 7)

  8. 8. 12