Free Grade 3 Angles Around a Point in Context Lesson Plans
Free Grade 3 lesson plans for Angles Around a Point in Context: 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°.
Free
Core
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain angles around a point in context
Explain angles around a point in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate angles around a point in context
Calculate angles around a point in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare angles around a point in context
Compare angles around a point in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify angles around a point in context
Justify angles around a point in context 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 Angles Around a Point in Context 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°.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Two angles on a straight line. One is 125°. Find the other.[1]
- 2.Two angles on a straight line. One is 28°. Find the other.[1]
- 3.Two angles on a straight line. One is 133°. Find the other.[1]
- 4.Two angles on a straight line. One is 45°. Find the other.[1]
- 5.A triangle has angles 81° and 35°. Find the third angle.[2]
- 6.A triangle has angles 66° and 85°. Find the third angle.[2]
- 7.A triangle has angles 63° and 52°. Find the third angle.[2]
- 8.A triangle has angles 24° and 24°. Find the third angle.[2]
- 9.Find the size of each interior angle of a regular 10-sided polygon.[3]
- 10.Find the size of each interior angle of a regular 5-sided polygon.[3]
- 11.Find the size of each interior angle of a regular 8-sided polygon.[3]
- 12.Find the size of each interior angle of a regular 6-sided polygon.[3]
Show answers and working
1. 55°
Angles on a straight line add to 180°. 180 − 125 = 55°.
2. 152°
Angles on a straight line add to 180°. 180 − 28 = 152°.
3. 47°
Angles on a straight line add to 180°. 180 − 133 = 47°.
4. 135°
Angles on a straight line add to 180°. 180 − 45 = 135°.
5. 64°
Angles in a triangle add to 180°. 180 − 81 − 35 = 64°.
6. 29°
Angles in a triangle add to 180°. 180 − 66 − 85 = 29°.
7. 65°
Angles in a triangle add to 180°. 180 − 63 − 52 = 65°.
8. 132°
Angles in a triangle add to 180°. 180 − 24 − 24 = 132°.
9. 144°
Sum of interior angles = (10 − 2) × 180 = 1440°. Each angle = 1440 ÷ 10 = 144°.
10. 108°
Sum of interior angles = (5 − 2) × 180 = 540°. Each angle = 540 ÷ 5 = 108°.
11. 135°
Sum of interior angles = (8 − 2) × 180 = 1080°. Each angle = 1080 ÷ 8 = 135°.
12. 120°
Sum of interior angles = (6 − 2) × 180 = 720°. Each angle = 720 ÷ 6 = 120°.
Worked examples
Two angles on a straight line. One is 50°. Find the other.
- Angles on a straight line add to 180°.
- 180 − 50 = 130°.
- Answer: 130°
A triangle has angles 37° and 38°. Find the third angle.
- Angles in a triangle add to 180°.
- 180 − 37 − 38 = 105°.
- Answer: 105°
Find the size of each interior angle of a regular 7-sided polygon.
- Sum of interior angles = (7 − 2) × 180 = 900°.
- Each angle = 900 ÷ 7 = 128.57°.
- 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.
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Frequently asked
- Is this Grade 3 Angles Around a Point in Context 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 Working with Angles Around a Point, Introducing Angles Around a Point, Angles on a Straight Line. 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 Angles Around a Point in Context?
- Move on to Angles on a Straight Line, Vertically Opposite Angles, Angles in Parallel Lines, Angles in Polygons, which build directly on this idea.
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