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Free Grade 3 Working with Angle Bisector Lesson Plans

Free Grade 3 lesson plans for Working with Angle Bisector: 12 real questions with a full answer key and worked solutions. Angles on a straight line add to 180°, around a point to 360°, and inside a triangle to 180°. A polygon with n sides has interior angles adding to (n − 2) × 180°.

Price

Free

Difficulty

Foundation

Estimated time

15 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify working with angle bisector

    Identify working with angle bisector accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with angle bisector

    Explain working with angle bisector accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with angle bisector

    Calculate working with angle bisector accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with angle bisector

    Compare working with angle bisector accurately in a familiar context.

    Assessed by: Exit ticket of four short items

Prerequisites

Close these gaps first — each has its own free lesson, worksheet and quiz.

How Working with Angle Bisector works

Angles on a straight line add to 180°, around a point to 360°, and inside a triangle to 180°. A polygon with n sides has interior angles adding to (n − 2) × 180°.

Key wordsdegreeacuteobtusereflexinterior angle

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.Two angles on a straight line. One is 91°. Find the other.[1]
  2. 2.Two angles on a straight line. One is 38°. Find the other.[1]
  3. 3.Two angles on a straight line. One is 87°. Find the other.[1]
  4. 4.Two angles on a straight line. One is 148°. Find the other.[1]
  5. 5.A triangle has angles 49° and 51°. Find the third angle.[2]
  6. 6.A triangle has angles 29° and 25°. Find the third angle.[2]
  7. 7.A triangle has angles 69° and 88°. Find the third angle.[2]
  8. 8.A triangle has angles 51° and 81°. Find the third angle.[2]
  9. 9.Find the size of each interior angle of a regular 10-sided polygon.[3]
  10. 10.Find the size of each interior angle of a regular 6-sided polygon.[3]
  11. 11.Find the size of each interior angle of a regular 8-sided polygon.[3]
  12. 12.Find the size of each interior angle of a regular 5-sided polygon.[3]
Show answers and working
  1. 1. 89°

    Angles on a straight line add to 180°. 180 − 91 = 89°.

  2. 2. 142°

    Angles on a straight line add to 180°. 180 − 38 = 142°.

  3. 3. 93°

    Angles on a straight line add to 180°. 180 − 87 = 93°.

  4. 4. 32°

    Angles on a straight line add to 180°. 180 − 148 = 32°.

  5. 5. 80°

    Angles in a triangle add to 180°. 180 − 49 − 51 = 80°.

  6. 6. 126°

    Angles in a triangle add to 180°. 180 − 29 − 25 = 126°.

  7. 7. 23°

    Angles in a triangle add to 180°. 180 − 69 − 88 = 23°.

  8. 8. 48°

    Angles in a triangle add to 180°. 180 − 51 − 81 = 48°.

  9. 9. 144°

    Sum of interior angles = (10 − 2) × 180 = 1440°. Each angle = 1440 ÷ 10 = 144°.

  10. 10. 120°

    Sum of interior angles = (6 − 2) × 180 = 720°. Each angle = 720 ÷ 6 = 120°.

  11. 11. 135°

    Sum of interior angles = (8 − 2) × 180 = 1080°. Each angle = 1080 ÷ 8 = 135°.

  12. 12. 108°

    Sum of interior angles = (5 − 2) × 180 = 540°. Each angle = 540 ÷ 5 = 108°.

Worked examples

Easy example

Two angles on a straight line. One is 144°. Find the other.

  1. Angles on a straight line add to 180°.
  2. 180 − 144 = 36°.
  3. Answer: 36°
Medium example

A triangle has angles 44° and 115°. Find the third angle.

  1. Angles in a triangle add to 180°.
  2. 180 − 44 − 115 = 21°.
  3. Answer: 21°
Hard example

Find the size of each interior angle of a regular 7-sided polygon.

  1. Sum of interior angles = (7 − 2) × 180 = 900°.
  2. Each angle = 900 ÷ 7 = 128.57°.
  3. Answer: 128.57°

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Reads the wrong scale on a protractor.

    Correction: Start from the 0 on the arm you are measuring from.

  • Uses 360° for a triangle.

    Correction: Triangle = 180°, quadrilateral = 360°.

Teacher tips

  • · Estimate the angle type before measuring.

Parent tips

  • · Spot right angles around the house.

Real-life applications

  • · Ramps, clock hands, building and design.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

CAMBRIDGE CAM-338.1 — Mapped statement covering Working with Angle Bisector.NATIONAL-CURRICULUM NAT-954.2 — Mapped statement covering Working with Angle Bisector.

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Frequently asked

Is this Grade 3 Working with Angle Bisector lesson plan really free?
Yes. Every lesson plans on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
What should a learner already know before this?
Start with Introducing Angle Bisector, Perpendicular Bisector. Each one has its own free lesson, worksheet and quiz.
How is the lesson plan sequenced?
Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
What comes next after Working with Angle Bisector?
Move on to Angle Bisector in Context, Perpendicular Bisector, Loci, which build directly on this idea.

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