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Math lesson plan · 4th grade (Year 5 in England) · 45 minutes

Angles: types and measuring

Geometry

CCSS 4.MD.C.5CCSS 4.MD.C.6CCSS 4.MD.C.7CCSS 4.G.A.1England: Y3 GeometryEngland: Y5 Geometry

Objective and success criteria

Students will: Angles: types and measuring.

  • 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: Classify quadrilaterals; Add and subtract within 1000

Leads to: Parallel and perpendicular lines; Classify triangles; angles in a triangle; Vertical, complementary and supplementary angles

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 (Classify quadrilaterals; Add and subtract within 1000). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. A quadrilateral has 4 right angles and opposite sides equal, but not all sides equal. What is it? (parallelogram / rectangle / rhombus / trapezoid (trapezium)) → rectanglePrompt: Check the sides: are they equal? Are any parallel?
  2. What is 100 more than 570? → 670Prompt: Which digit changes when you add 100?
  3. True or false? Every square is a rhombus. (True / False) → TruePrompt: Think about what the definition of each shape needs.

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: Angles: types and measuring. 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: What type of angle is 65°?
  • Step 1: 65° is acute.
  • Answer: acute
  • 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. What type of angle is 90°? (acute / right / obtuse / straight / reflex) → rightPrompt: Compare with a right angle (90°) and a straight line (180°).
  2. Two angles together make a straight line. One is 120°. What is the other, in degrees? → 60Prompt: Angles on a straight line add up to 180°.

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. What type of angle is 49°? (acute / right / obtuse / straight / reflex) → acutePrompt: Compare with a right angle (90°) and a straight line (180°).
  2. Two angles together make a straight line. One is 77°. What is the other, in degrees? → 103Prompt: Angles on a straight line add up to 180°.

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: Classify quadrilaterals.
  • 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

  • Move on to: Parallel and perpendicular lines; Classify triangles; angles in a triangle; Vertical, complementary and supplementary angles.
  • 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

Angles: types and measuring

Name

Date

Score/ 8

  1. Question 1

    Two angles together make a straight line. One is 32°. What is the other, in degrees?

    Answer

  2. Question 2

    A right angle is split into two parts. One part is 28°. What is the other part, in degrees?

    Answer

  3. Question 3

    What type of angle is 90°?

    • A. acute
    • B. right
    • C. obtuse
    • D. straight
    • E. reflex
  4. Question 4

    Two angles together make a straight line. One is 39°. What is the other, in degrees?

    Answer

  5. Question 5

    A right angle is split into two parts. One part is 12°. What is the other part, in degrees?

    Answer

  6. Question 6

    Two angles together make a straight line. One is 154°. What is the other, in degrees?

    Answer

  7. Question 7

    Three angles meet at a point. Two of them are 42° and 129°. What is the third, in degrees?

    Answer

  8. Question 8

    What type of angle is 138°?

    • A. acute
    • B. right
    • C. obtuse
    • D. straight
    • E. reflex

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Answer key: Angles: types and measuring

  1. 1. 148

  2. 2. 62

  3. 3. B. right

  4. 4. 141

  5. 5. 78

  6. 6. 26

  7. 7. 189

  8. 8. C. obtuse