Free Grade 3 Introducing Compound Shapes Lesson Plans
Free Grade 3 lesson plans for Introducing 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
Core
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing compound shapes
Explain introducing compound shapes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing compound shapes
Calculate introducing compound shapes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing compound shapes
Compare introducing compound shapes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing compound shapes
Justify introducing 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 Introducing 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 5 cm by 6 cm. Find its perimeter and area.[1]
- 2.A rectangle is 2 cm by 2 cm. Find its perimeter and area.[1]
- 3.A rectangle is 14 cm by 8 cm. Find its perimeter and area.[1]
- 4.A rectangle is 5 cm by 10 cm. Find its perimeter and area.[1]
- 5.A triangle has base 4 cm and height 3 cm. Find its area.[2]
- 6.A triangle has base 20 cm and height 10 cm. Find its area.[2]
- 7.A triangle has base 16 cm and height 11 cm. Find its area.[2]
- 8.A triangle has base 10 cm and height 5 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 6 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 10 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 3 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 22 cm, area 30 cm²
Perimeter = 5 + 6 + 5 + 6 = 22 cm. Area = 5 × 6 = 30 cm².
2. Perimeter 8 cm, area 4 cm²
Perimeter = 2 + 2 + 2 + 2 = 8 cm. Area = 2 × 2 = 4 cm².
3. Perimeter 44 cm, area 112 cm²
Perimeter = 14 + 8 + 14 + 8 = 44 cm. Area = 14 × 8 = 112 cm².
4. Perimeter 30 cm, area 50 cm²
Perimeter = 5 + 10 + 5 + 10 = 30 cm. Area = 5 × 10 = 50 cm².
5. 6 cm²
Area = ½ × base × height. ½ × 4 × 3 = 6 cm².
6. 100 cm²
Area = ½ × base × height. ½ × 20 × 10 = 100 cm².
7. 88 cm²
Area = ½ × base × height. ½ × 16 × 11 = 88 cm².
8. 25 cm²
Area = ½ × base × height. ½ × 10 × 5 = 25 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 113.1 cm², circumference 37.7 cm
Area = πr² = π × 6² = 113.1 cm². Circumference = 2πr = 2 × π × 6 = 37.7 cm.
11. Area 314.2 cm², circumference 62.8 cm
Area = πr² = π × 10² = 314.2 cm². Circumference = 2πr = 2 × π × 10 = 62.8 cm.
12. Area 28.3 cm², circumference 18.8 cm
Area = πr² = π × 3² = 28.3 cm². Circumference = 2πr = 2 × π × 3 = 18.8 cm.
Worked examples
A rectangle is 5 cm by 11 cm. Find its perimeter and area.
- Perimeter = 5 + 11 + 5 + 11 = 32 cm.
- Area = 5 × 11 = 55 cm².
- Answer: Perimeter 32 cm, area 55 cm²
A triangle has base 28 cm and height 3 cm. Find its area.
- Area = ½ × base × height.
- ½ × 28 × 3 = 42 cm².
- Answer: 42 cm²
Find the area and circumference of a circle with radius 5 cm (to 1 d.p.).
- Area = πr² = π × 5² = 78.5 cm².
- Circumference = 2πr = 2 × π × 5 = 31.4 cm.
- Answer: Area 78.5 cm², circumference 31.4 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
How mastery is evidenced, and which standards it maps to.
Every free resource for Introducing Compound Shapes
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
All free formats for this concept
Every kind below is a real page, generated from this entity.
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 Introducing 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. 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?
- Move on to Working with Compound Shapes, Compound Shapes in Context, Perimeter of Rectangles, Area of Rectangles, which build directly on this idea.
Related resources
Stuck on Introducing Compound Shapes? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor