Free Grade 3 Circles Lesson Plans
Free Grade 3 lesson plans for Circles: 12 real questions with a full answer key and worked solutions. Perimeter is the distance around a shape; area is the space inside. Rectangle area = length × width; triangle = ½ × base × height; circle = πr².
Free
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify circles
Identify circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain circles
Explain circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate circles
Calculate circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare circles
Compare circles 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 Circles works
Perimeter is the distance around a shape; area is the space inside. Rectangle area = length × width; triangle = ½ × base × height; circle = πr².
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.A rectangle is 11 cm by 2 cm. Find its perimeter and area.[1]
- 2.A rectangle is 4 cm by 5 cm. Find its perimeter and area.[1]
- 3.A rectangle is 9 cm by 2 cm. Find its perimeter and area.[1]
- 4.A rectangle is 5 cm by 8 cm. Find its perimeter and area.[1]
- 5.A triangle has base 18 cm and height 7 cm. Find its area.[2]
- 6.A triangle has base 10 cm and height 8 cm. Find its area.[2]
- 7.A triangle has base 6 cm and height 5 cm. Find its area.[2]
- 8.A triangle has base 10 cm and height 2 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 6 cm (to 1 d.p.).[3]
- 10.Find the area and circumference of a circle with radius 4 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 12 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 9 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 26 cm, area 22 cm²
Perimeter = 11 + 2 + 11 + 2 = 26 cm. Area = 11 × 2 = 22 cm².
2. Perimeter 18 cm, area 20 cm²
Perimeter = 4 + 5 + 4 + 5 = 18 cm. Area = 4 × 5 = 20 cm².
3. Perimeter 22 cm, area 18 cm²
Perimeter = 9 + 2 + 9 + 2 = 22 cm. Area = 9 × 2 = 18 cm².
4. Perimeter 26 cm, area 40 cm²
Perimeter = 5 + 8 + 5 + 8 = 26 cm. Area = 5 × 8 = 40 cm².
5. 63 cm²
Area = ½ × base × height. ½ × 18 × 7 = 63 cm².
6. 40 cm²
Area = ½ × base × height. ½ × 10 × 8 = 40 cm².
7. 15 cm²
Area = ½ × base × height. ½ × 6 × 5 = 15 cm².
8. 10 cm²
Area = ½ × base × height. ½ × 10 × 2 = 10 cm².
9. Area 113.1 cm², circumference 37.7 cm
Area = πr² = π × 6² = 113.1 cm². Circumference = 2πr = 2 × π × 6 = 37.7 cm.
10. Area 50.3 cm², circumference 25.1 cm
Area = πr² = π × 4² = 50.3 cm². Circumference = 2πr = 2 × π × 4 = 25.1 cm.
11. Area 452.4 cm², circumference 75.4 cm
Area = πr² = π × 12² = 452.4 cm². Circumference = 2πr = 2 × π × 12 = 75.4 cm.
12. Area 254.5 cm², circumference 56.5 cm
Area = πr² = π × 9² = 254.5 cm². Circumference = 2πr = 2 × π × 9 = 56.5 cm.
Worked examples
A rectangle is 10 cm by 11 cm. Find its perimeter and area.
- Perimeter = 10 + 11 + 10 + 11 = 42 cm.
- Area = 10 × 11 = 110 cm².
- Answer: Perimeter 42 cm, area 110 cm²
A triangle has base 8 cm and height 11 cm. Find its area.
- Area = ½ × base × height.
- ½ × 8 × 11 = 44 cm².
- Answer: 44 cm²
Find the area and circumference of a circle with radius 7 cm (to 1 d.p.).
- Area = πr² = π × 7² = 153.9 cm².
- Circumference = 2πr = 2 × π × 7 = 44 cm.
- Answer: Area 153.9 cm², circumference 44 cm
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Mixes up area and perimeter.
Correction: Perimeter is a fence (around), area is grass (inside).
Uses the slanted side as the height of a triangle.
Correction: Height must be at right angles to the base.
Teacher tips
- · Draw shapes on squared paper and count squares first.
Parent tips
- · Measure a room and work out how much carpet you'd need.
Real-life applications
- · Carpeting a room, fencing a garden.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Circles
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
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 Circles 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 Quadrilaterals, Triangles, 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 Circles?
- Move on to Polygons, Symmetry, Angles, Perimeter and Area, which build directly on this idea.
Related resources
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