Free Grade 3 Introducing Compound Shapes Word Problems Lesson Plans
Free Grade 3 lesson plans for Introducing Compound Shapes Word Problems: 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 word problems
Explain introducing compound shapes word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing compound shapes word problems
Calculate introducing compound shapes word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing compound shapes word problems
Compare introducing compound shapes word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing compound shapes word problems
Justify introducing compound shapes word problems 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 Word Problems 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 3 cm by 6 cm. Find its perimeter and area.[1]
- 2.A rectangle is 11 cm by 8 cm. Find its perimeter and area.[1]
- 3.A rectangle is 4 cm by 13 cm. Find its perimeter and area.[1]
- 4.A rectangle is 5 cm by 15 cm. Find its perimeter and area.[1]
- 5.A triangle has base 30 cm and height 7 cm. Find its area.[2]
- 6.A triangle has base 14 cm and height 2 cm. Find its area.[2]
- 7.A triangle has base 22 cm and height 8 cm. Find its area.[2]
- 8.A triangle has base 28 cm and height 2 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 11 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 7 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 18 cm, area 18 cm²
Perimeter = 3 + 6 + 3 + 6 = 18 cm. Area = 3 × 6 = 18 cm².
2. Perimeter 38 cm, area 88 cm²
Perimeter = 11 + 8 + 11 + 8 = 38 cm. Area = 11 × 8 = 88 cm².
3. Perimeter 34 cm, area 52 cm²
Perimeter = 4 + 13 + 4 + 13 = 34 cm. Area = 4 × 13 = 52 cm².
4. Perimeter 40 cm, area 75 cm²
Perimeter = 5 + 15 + 5 + 15 = 40 cm. Area = 5 × 15 = 75 cm².
5. 105 cm²
Area = ½ × base × height. ½ × 30 × 7 = 105 cm².
6. 14 cm²
Area = ½ × base × height. ½ × 14 × 2 = 14 cm².
7. 88 cm²
Area = ½ × base × height. ½ × 22 × 8 = 88 cm².
8. 28 cm²
Area = ½ × base × height. ½ × 28 × 2 = 28 cm².
9. Area 380.1 cm², circumference 69.1 cm
Area = πr² = π × 11² = 380.1 cm². Circumference = 2πr = 2 × π × 11 = 69.1 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 153.9 cm², circumference 44 cm
Area = πr² = π × 7² = 153.9 cm². Circumference = 2πr = 2 × π × 7 = 44 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 12 cm by 15 cm. Find its perimeter and area.
- Perimeter = 12 + 15 + 12 + 15 = 54 cm.
- Area = 12 × 15 = 180 cm².
- Answer: Perimeter 54 cm, area 180 cm²
A triangle has base 6 cm and height 14 cm. Find its area.
- Area = ½ × base × height.
- ½ × 6 × 14 = 42 cm².
- Answer: 42 cm²
Find the area and circumference of a circle with radius 12 cm (to 1 d.p.).
- Area = πr² = π × 12² = 452.4 cm².
- Circumference = 2πr = 2 × π × 12 = 75.4 cm.
- Answer: Area 452.4 cm², circumference 75.4 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 Word Problems 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 Techniques, 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 Word Problems?
- Move on to Introducing Compound Shapes Common Errors, Working with Compound Shapes, Compound Shapes in Context, which build directly on this idea.
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