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Math lesson plan · 4th grade (Year 5 in England) · 60 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 · 6 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 equal sides and 4 right angles. What is it? (square / rectangle / trapezoid (trapezium) / parallelogram) → squarePrompt: Check the sides: are they equal? Are any parallel?
  2. What is 10 more than 203? → 213Prompt: Which digit changes when you add 10?
  3. True or false? Every rhombus is a square. (True / False) → FalsePrompt: Think about what the definition of each shape needs.

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: Angles: types and measuring. 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 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 · 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 type of angle is 186°? (acute / right / obtuse / straight / reflex) → reflexPrompt: Compare with a right angle (90°) and a straight line (180°).
  2. Two angles together make a straight line. One is 57°. What is the other, in degrees? → 123Prompt: Angles on a straight line add up to 180°.

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 type of angle is 354°? (acute / right / obtuse / straight / reflex) → reflexPrompt: Compare with a right angle (90°) and a straight line (180°).
  2. Three angles meet at a point. Two of them are 16° and 144°. What is the third, in degrees? → 200Prompt: Angles around a point add up to 360°.

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 108°. What is the other, in degrees?

    Answer

  2. Question 2

    Three angles meet at a point. Two of them are 75° and 105°. What is the third, 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 57°. What is the other, in degrees?

    Answer

  5. Question 5

    A right angle is split into two parts. One part is 26°. What is the other part, in degrees?

    Answer

  6. Question 6

    What type of angle is 162°?

    • A. acute
    • B. right
    • C. obtuse
    • D. straight
    • E. reflex
  7. Question 7

    Two angles together make a straight line. One is 62°. What is the other, in degrees?

    Answer

  8. Question 8

    A right angle is split into two parts. One part is 27°. What is the other part, in degrees?

    Answer

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Answer key: Angles: types and measuring

  1. 1. 72

  2. 2. 180

  3. 3. B. right

  4. 4. 123

  5. 5. 64

  6. 6. C. obtuse

  7. 7. 118

  8. 8. 63

Lesson plan | Eurekami