Free Grade 3 Compound Shapes in Context Techniques Lesson Plans
Free Grade 3 lesson plans for Compound Shapes in Context 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain compound shapes in context techniques
Explain compound shapes in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate compound shapes in context techniques
Calculate compound shapes in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare compound shapes in context techniques
Compare compound shapes in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify compound shapes in context techniques
Justify compound shapes in context 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 Compound Shapes in Context 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 7 cm by 9 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 3 cm by 7 cm. Find its perimeter and area.[1]
- 4.A rectangle is 7 cm by 2 cm. Find its perimeter and area.[1]
- 5.A triangle has base 4 cm and height 13 cm. Find its area.[2]
- 6.A triangle has base 24 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 24 cm and height 2 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 7 cm (to 1 d.p.).[3]
- 10.Find the area and circumference of a circle with radius 4 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 2 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 32 cm, area 63 cm²
Perimeter = 7 + 9 + 7 + 9 = 32 cm. Area = 7 × 9 = 63 cm².
2. Perimeter 8 cm, area 4 cm²
Perimeter = 2 + 2 + 2 + 2 = 8 cm. Area = 2 × 2 = 4 cm².
3. Perimeter 20 cm, area 21 cm²
Perimeter = 3 + 7 + 3 + 7 = 20 cm. Area = 3 × 7 = 21 cm².
4. Perimeter 18 cm, area 14 cm²
Perimeter = 7 + 2 + 7 + 2 = 18 cm. Area = 7 × 2 = 14 cm².
5. 26 cm²
Area = ½ × base × height. ½ × 4 × 13 = 26 cm².
6. 120 cm²
Area = ½ × base × height. ½ × 24 × 10 = 120 cm².
7. 90 cm²
Area = ½ × base × height. ½ × 30 × 6 = 90 cm².
8. 24 cm²
Area = ½ × base × height. ½ × 24 × 2 = 24 cm².
9. Area 153.9 cm², circumference 44 cm
Area = πr² = π × 7² = 153.9 cm². Circumference = 2πr = 2 × π × 7 = 44 cm.
10. Area 50.3 cm², circumference 25.1 cm
Area = πr² = π × 4² = 50.3 cm². Circumference = 2πr = 2 × π × 4 = 25.1 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 12.6 cm², circumference 12.6 cm
Area = πr² = π × 2² = 12.6 cm². Circumference = 2πr = 2 × π × 2 = 12.6 cm.
Worked examples
A rectangle is 4 cm by 7 cm. Find its perimeter and area.
- Perimeter = 4 + 7 + 4 + 7 = 22 cm.
- Area = 4 × 7 = 28 cm².
- Answer: Perimeter 22 cm, area 28 cm²
A triangle has base 26 cm and height 13 cm. Find its area.
- Area = ½ × base × height.
- ½ × 26 × 13 = 169 cm².
- Answer: 169 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
How mastery is evidenced, and which standards it maps to.
Every free resource for Compound Shapes in Context Techniques
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 Compound Shapes in Context 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 Compound Shapes in Context Essentials, Working with Compound 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 in Context Techniques?
- Move on to Compound Shapes in Context Word Problems, Compound Shapes in Context Common Errors, Introducing Compound Shapes, Working with Compound Shapes, which build directly on this idea.
Related resources
Stuck on Compound Shapes in Context Techniques? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor