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Math lesson plan · 4th grade (Year 5 in England) · 60 minutes

Points, lines, line segments and rays

Geometry

CCSS 4.G.A.1England: Y4 Geometry

Objective and success criteria

Students will: Points, lines, line segments and rays.

  • 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: Parallel and perpendicular lines

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 · 6 min

  • Quick retrieval from earlier learning (Parallel and perpendicular lines). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. On Fatima's map, two straight roads meet at a right angle. What are such lines called? (parallel / perpendicular / intersecting (not perpendicular)) → perpendicularPrompt: Parallel lines are like train tracks.
  2. How many pairs of parallel sides does a triangle have? → 0Prompt: Look at opposite sides.
  3. On Ben's map, two straight roads meet at a right angle. What are such lines called? (parallel / perpendicular / intersecting (not perpendicular)) → perpendicularPrompt: Parallel lines are like train tracks.

Hook · 6 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: Points, lines, line segments and rays. 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.
  • Example: What do we call something that has two endpoints?
  • Step 1: a line segment
  • Answer: a line segment
  • 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.
  1. What do we call something that shows an exact location and has no size? (a line / a line segment / a ray / a point) → a pointPrompt: Count the endpoints.
  2. How many endpoints does each side of a triangle (a segment) have? → 2Prompt: An endpoint is where it stops.

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.
  1. What do we call something that has two endpoints? (a line / a line segment / a ray / a point) → a line segmentPrompt: Count the endpoints.
  2. Tariq says: "Two perpendicular lines meet at a right angle." True or false? (true / false) → truePrompt: Parallel lines never meet.

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: Parallel and perpendicular lines.
  • 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-4.

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

eurekami

Points, lines, line segments and rays

Name

Date

Score/ 8

  1. Question 1

    How many endpoints does a line have?

    Answer

  2. Question 2

    Diego says: "Two parallel lines meet at a right angle." True or false?

    • A. true
    • B. false
  3. Question 3

    What do we call something that has two endpoints?

    • A. a line
    • B. a line segment
    • C. a ray
    • D. a point
  4. Question 4

    Arjun says: "Two perpendicular lines meet at a right angle." True or false?

    • A. true
    • B. false
  5. Question 5

    What do we call something that goes on forever in both directions?

    • A. a line
    • B. a line segment
    • C. a ray
    • D. a point
  6. Question 6

    How many endpoints does a ray have?

    Answer

  7. Question 7

    Ethan says: "Two perpendicular lines meet at a right angle." True or false?

    • A. true
    • B. false
  8. Question 8

    What do we call something that shows an exact location and has no size?

    • A. a line
    • B. a line segment
    • C. a ray
    • D. a point

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Answer key: Points, lines, line segments and rays

  1. 1. 0

  2. 2. B. false

  3. 3. B. a line segment

  4. 4. A. true

  5. 5. A. a line

  6. 6. 1

  7. 7. A. true

  8. 8. D. a point