Free Grade 3 Polygons Lesson Plans
Free Grade 3 lesson plans for Polygons: 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
Higher
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify polygons
Identify polygons accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain polygons
Explain polygons accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate polygons
Calculate polygons accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare polygons
Compare polygons 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 Polygons 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 60°. Find the other.[1]
- 2.Two angles on a straight line. One is 127°. Find the other.[1]
- 3.Two angles on a straight line. One is 45°. Find the other.[1]
- 4.Two angles on a straight line. One is 94°. Find the other.[1]
- 5.A triangle has angles 67° and 23°. Find the third angle.[2]
- 6.A triangle has angles 24° and 136°. Find the third angle.[2]
- 7.A triangle has angles 25° and 41°. Find the third angle.[2]
- 8.A triangle has angles 70° and 30°. Find the third angle.[2]
- 9.Find the size of each interior angle of a regular 8-sided polygon.[3]
- 10.Find the size of each interior angle of a regular 10-sided polygon.[3]
- 11.Find the size of each interior angle of a regular 9-sided polygon.[3]
- 12.Find the size of each interior angle of a regular 6-sided polygon.[3]
Show answers and working
1. 120°
Angles on a straight line add to 180°. 180 − 60 = 120°.
2. 53°
Angles on a straight line add to 180°. 180 − 127 = 53°.
3. 135°
Angles on a straight line add to 180°. 180 − 45 = 135°.
4. 86°
Angles on a straight line add to 180°. 180 − 94 = 86°.
5. 90°
Angles in a triangle add to 180°. 180 − 67 − 23 = 90°.
6. 20°
Angles in a triangle add to 180°. 180 − 24 − 136 = 20°.
7. 114°
Angles in a triangle add to 180°. 180 − 25 − 41 = 114°.
8. 80°
Angles in a triangle add to 180°. 180 − 70 − 30 = 80°.
9. 135°
Sum of interior angles = (8 − 2) × 180 = 1080°. Each angle = 1080 ÷ 8 = 135°.
10. 144°
Sum of interior angles = (10 − 2) × 180 = 1440°. Each angle = 1440 ÷ 10 = 144°.
11. 140°
Sum of interior angles = (9 − 2) × 180 = 1260°. Each angle = 1260 ÷ 9 = 140°.
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 38°. Find the other.
- Angles on a straight line add to 180°.
- 180 − 38 = 142°.
- Answer: 142°
A triangle has angles 81° and 61°. Find the third angle.
- Angles in a triangle add to 180°.
- 180 − 81 − 61 = 38°.
- Answer: 38°
Find the size of each interior angle of a regular 5-sided polygon.
- Sum of interior angles = (5 − 2) × 180 = 540°.
- Each angle = 540 ÷ 5 = 108°.
- Answer: 108°
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.
Every free resource for Polygons
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The entities below this one, each with the same complete free resource set.
Sibling concepts
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Next topics
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Polygons 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 Circles, Quadrilaterals, Angles. 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 Polygons?
- Move on to Symmetry, Angles, Perimeter and Area, 3D Shapes, which build directly on this idea.
Related resources
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