Free Grade 3 Symmetry Lesson Plans
Free Grade 3 lesson plans for Symmetry: 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
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain symmetry
Explain symmetry accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate symmetry
Calculate symmetry accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare symmetry
Compare symmetry accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify symmetry
Justify symmetry 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 Symmetry 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 12 cm by 9 cm. Find its perimeter and area.[1]
- 2.A rectangle is 8 cm by 4 cm. Find its perimeter and area.[1]
- 3.A rectangle is 11 cm by 8 cm. Find its perimeter and area.[1]
- 4.A rectangle is 2 cm by 11 cm. Find its perimeter and area.[1]
- 5.A triangle has base 4 cm and height 4 cm. Find its area.[2]
- 6.A triangle has base 24 cm and height 7 cm. Find its area.[2]
- 7.A triangle has base 18 cm and height 14 cm. Find its area.[2]
- 8.A triangle has base 8 cm and height 3 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 2 cm (to 1 d.p.).[3]
- 10.Find the area and circumference of a circle with radius 10 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 9 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 8 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 42 cm, area 108 cm²
Perimeter = 12 + 9 + 12 + 9 = 42 cm. Area = 12 × 9 = 108 cm².
2. Perimeter 24 cm, area 32 cm²
Perimeter = 8 + 4 + 8 + 4 = 24 cm. Area = 8 × 4 = 32 cm².
3. Perimeter 38 cm, area 88 cm²
Perimeter = 11 + 8 + 11 + 8 = 38 cm. Area = 11 × 8 = 88 cm².
4. Perimeter 26 cm, area 22 cm²
Perimeter = 2 + 11 + 2 + 11 = 26 cm. Area = 2 × 11 = 22 cm².
5. 8 cm²
Area = ½ × base × height. ½ × 4 × 4 = 8 cm².
6. 84 cm²
Area = ½ × base × height. ½ × 24 × 7 = 84 cm².
7. 126 cm²
Area = ½ × base × height. ½ × 18 × 14 = 126 cm².
8. 12 cm²
Area = ½ × base × height. ½ × 8 × 3 = 12 cm².
9. Area 12.6 cm², circumference 12.6 cm
Area = πr² = π × 2² = 12.6 cm². Circumference = 2πr = 2 × π × 2 = 12.6 cm.
10. Area 314.2 cm², circumference 62.8 cm
Area = πr² = π × 10² = 314.2 cm². Circumference = 2πr = 2 × π × 10 = 62.8 cm.
11. Area 254.5 cm², circumference 56.5 cm
Area = πr² = π × 9² = 254.5 cm². Circumference = 2πr = 2 × π × 9 = 56.5 cm.
12. Area 201.1 cm², circumference 50.3 cm
Area = πr² = π × 8² = 201.1 cm². Circumference = 2πr = 2 × π × 8 = 50.3 cm.
Worked examples
A rectangle is 14 cm by 5 cm. Find its perimeter and area.
- Perimeter = 14 + 5 + 14 + 5 = 38 cm.
- Area = 14 × 5 = 70 cm².
- Answer: Perimeter 38 cm, area 70 cm²
A triangle has base 30 cm and height 2 cm. Find its area.
- Area = ½ × base × height.
- ½ × 30 × 2 = 30 cm².
- Answer: 30 cm²
Find the area and circumference of a circle with radius 11 cm (to 1 d.p.).
- Area = πr² = π × 11² = 380.1 cm².
- Circumference = 2πr = 2 × π × 11 = 69.1 cm.
- Answer: Area 380.1 cm², circumference 69.1 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 Symmetry
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Learn — Meet the idea.
Practice — Build fluency.
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Frequently asked
- Is this Grade 3 Symmetry 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 Polygons, Circles, 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 Symmetry?
- Move on to Angles, Perimeter and Area, 3D Shapes, Transformations, which build directly on this idea.
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