Free Grade 3 Compound Shapes Lesson Plans
Free Grade 3 lesson plans for Compound Shapes: 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
Stretch
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain compound shapes
Explain compound shapes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate compound shapes
Calculate compound shapes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare compound shapes
Compare compound shapes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify compound shapes
Justify compound shapes 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 Compound Shapes 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 4 cm by 4 cm. Find its perimeter and area.[1]
- 2.A rectangle is 10 cm by 14 cm. Find its perimeter and area.[1]
- 3.A rectangle is 13 cm by 12 cm. Find its perimeter and area.[1]
- 4.A rectangle is 11 cm by 6 cm. Find its perimeter and area.[1]
- 5.A triangle has base 8 cm and height 4 cm. Find its area.[2]
- 6.A triangle has base 26 cm and height 4 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 14 cm and height 12 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 10 cm (to 1 d.p.).[3]
- 10.Find the area and circumference of a circle with radius 2 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 3 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 5 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 16 cm, area 16 cm²
Perimeter = 4 + 4 + 4 + 4 = 16 cm. Area = 4 × 4 = 16 cm².
2. Perimeter 48 cm, area 140 cm²
Perimeter = 10 + 14 + 10 + 14 = 48 cm. Area = 10 × 14 = 140 cm².
3. Perimeter 50 cm, area 156 cm²
Perimeter = 13 + 12 + 13 + 12 = 50 cm. Area = 13 × 12 = 156 cm².
4. Perimeter 34 cm, area 66 cm²
Perimeter = 11 + 6 + 11 + 6 = 34 cm. Area = 11 × 6 = 66 cm².
5. 16 cm²
Area = ½ × base × height. ½ × 8 × 4 = 16 cm².
6. 52 cm²
Area = ½ × base × height. ½ × 26 × 4 = 52 cm².
7. 15 cm²
Area = ½ × base × height. ½ × 6 × 5 = 15 cm².
8. 84 cm²
Area = ½ × base × height. ½ × 14 × 12 = 84 cm².
9. Area 314.2 cm², circumference 62.8 cm
Area = πr² = π × 10² = 314.2 cm². Circumference = 2πr = 2 × π × 10 = 62.8 cm.
10. Area 12.6 cm², circumference 12.6 cm
Area = πr² = π × 2² = 12.6 cm². Circumference = 2πr = 2 × π × 2 = 12.6 cm.
11. Area 28.3 cm², circumference 18.8 cm
Area = πr² = π × 3² = 28.3 cm². Circumference = 2πr = 2 × π × 3 = 18.8 cm.
12. Area 78.5 cm², circumference 31.4 cm
Area = πr² = π × 5² = 78.5 cm². Circumference = 2πr = 2 × π × 5 = 31.4 cm.
Worked examples
A rectangle is 2 cm by 11 cm. Find its perimeter and area.
- Perimeter = 2 + 11 + 2 + 11 = 26 cm.
- Area = 2 × 11 = 22 cm².
- Answer: Perimeter 26 cm, area 22 cm²
A triangle has base 6 cm and height 11 cm. Find its area.
- Area = ½ × base × height.
- ½ × 6 × 11 = 33 cm².
- Answer: 33 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 Compound Shapes
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Frequently asked
- Is this Grade 3 Compound Shapes 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 Area of Circles, Area of Triangles, 2D Shapes. 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 Compound Shapes?
- Move on to Angles, 2D Shapes, 3D Shapes, Transformations, which build directly on this idea.
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