Free Grade 3 Introducing Compound Shapes Techniques Lesson Plans
Free Grade 3 lesson plans for Introducing Compound Shapes Techniques: 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 introducing compound shapes techniques
Explain introducing compound shapes techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing compound shapes techniques
Calculate introducing compound shapes techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing compound shapes techniques
Compare introducing compound shapes techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing compound shapes techniques
Justify introducing compound shapes techniques 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 Introducing Compound Shapes Techniques 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 5 cm by 12 cm. Find its perimeter and area.[1]
- 2.A rectangle is 7 cm by 4 cm. Find its perimeter and area.[1]
- 3.A rectangle is 15 cm by 3 cm. Find its perimeter and area.[1]
- 4.A rectangle is 10 cm by 5 cm. Find its perimeter and area.[1]
- 5.A triangle has base 10 cm and height 2 cm. Find its area.[2]
- 6.A triangle has base 10 cm and height 10 cm. Find its area.[2]
- 7.A triangle has base 30 cm and height 6 cm. Find its area.[2]
- 8.A triangle has base 18 cm and height 6 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 4 cm (to 1 d.p.).[3]
- 10.Find the area and circumference of a circle with radius 3 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 34 cm, area 60 cm²
Perimeter = 5 + 12 + 5 + 12 = 34 cm. Area = 5 × 12 = 60 cm².
2. Perimeter 22 cm, area 28 cm²
Perimeter = 7 + 4 + 7 + 4 = 22 cm. Area = 7 × 4 = 28 cm².
3. Perimeter 36 cm, area 45 cm²
Perimeter = 15 + 3 + 15 + 3 = 36 cm. Area = 15 × 3 = 45 cm².
4. Perimeter 30 cm, area 50 cm²
Perimeter = 10 + 5 + 10 + 5 = 30 cm. Area = 10 × 5 = 50 cm².
5. 10 cm²
Area = ½ × base × height. ½ × 10 × 2 = 10 cm².
6. 50 cm²
Area = ½ × base × height. ½ × 10 × 10 = 50 cm².
7. 90 cm²
Area = ½ × base × height. ½ × 30 × 6 = 90 cm².
8. 54 cm²
Area = ½ × base × height. ½ × 18 × 6 = 54 cm².
9. Area 50.3 cm², circumference 25.1 cm
Area = πr² = π × 4² = 50.3 cm². Circumference = 2πr = 2 × π × 4 = 25.1 cm.
10. Area 28.3 cm², circumference 18.8 cm
Area = πr² = π × 3² = 28.3 cm². Circumference = 2πr = 2 × π × 3 = 18.8 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 13 cm by 14 cm. Find its perimeter and area.
- Perimeter = 13 + 14 + 13 + 14 = 54 cm.
- Area = 13 × 14 = 182 cm².
- Answer: Perimeter 54 cm, area 182 cm²
A triangle has base 12 cm and height 10 cm. Find its area.
- Area = ½ × base × height.
- ½ × 12 × 10 = 60 cm².
- Answer: 60 cm²
Find the area and circumference of a circle with radius 10 cm (to 1 d.p.).
- Area = πr² = π × 10² = 314.2 cm².
- Circumference = 2πr = 2 × π × 10 = 62.8 cm.
- Answer: Area 314.2 cm², circumference 62.8 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
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Frequently asked
- Is this Grade 3 Introducing Compound Shapes Techniques 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 Introducing Compound Shapes Essentials, Area of Circles. 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 Introducing Compound Shapes Techniques?
- Move on to Introducing Compound Shapes Word Problems, Introducing Compound Shapes Common Errors, Working with Compound Shapes, Compound Shapes in Context, which build directly on this idea.
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