Free Grade 3 Working with Quadrilaterals Lesson Plans
Free Grade 3 lesson plans for Working with Quadrilaterals: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with quadrilaterals
Explain working with quadrilaterals accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with quadrilaterals
Calculate working with quadrilaterals accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with quadrilaterals
Compare working with quadrilaterals accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with quadrilaterals
Justify working with quadrilaterals 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 Working with Quadrilaterals 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 13 cm by 9 cm. Find its perimeter and area.[1]
- 2.A rectangle is 10 cm by 8 cm. Find its perimeter and area.[1]
- 3.A rectangle is 7 cm by 9 cm. Find its perimeter and area.[1]
- 4.A rectangle is 8 cm by 7 cm. Find its perimeter and area.[1]
- 5.A triangle has base 28 cm and height 10 cm. Find its area.[2]
- 6.A triangle has base 26 cm and height 3 cm. Find its area.[2]
- 7.A triangle has base 8 cm and height 5 cm. Find its area.[2]
- 8.A triangle has base 30 cm and height 9 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 8 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 12 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 44 cm, area 117 cm²
Perimeter = 13 + 9 + 13 + 9 = 44 cm. Area = 13 × 9 = 117 cm².
2. Perimeter 36 cm, area 80 cm²
Perimeter = 10 + 8 + 10 + 8 = 36 cm. Area = 10 × 8 = 80 cm².
3. Perimeter 32 cm, area 63 cm²
Perimeter = 7 + 9 + 7 + 9 = 32 cm. Area = 7 × 9 = 63 cm².
4. Perimeter 30 cm, area 56 cm²
Perimeter = 8 + 7 + 8 + 7 = 30 cm. Area = 8 × 7 = 56 cm².
5. 140 cm²
Area = ½ × base × height. ½ × 28 × 10 = 140 cm².
6. 39 cm²
Area = ½ × base × height. ½ × 26 × 3 = 39 cm².
7. 20 cm²
Area = ½ × base × height. ½ × 8 × 5 = 20 cm².
8. 135 cm²
Area = ½ × base × height. ½ × 30 × 9 = 135 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 201.1 cm², circumference 50.3 cm
Area = πr² = π × 8² = 201.1 cm². Circumference = 2πr = 2 × π × 8 = 50.3 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 452.4 cm², circumference 75.4 cm
Area = πr² = π × 12² = 452.4 cm². Circumference = 2πr = 2 × π × 12 = 75.4 cm.
Worked examples
A rectangle is 7 cm by 7 cm. Find its perimeter and area.
- Perimeter = 7 + 7 + 7 + 7 = 28 cm.
- Area = 7 × 7 = 49 cm².
- Answer: Perimeter 28 cm, area 49 cm²
A triangle has base 24 cm and height 6 cm. Find its area.
- Area = ½ × base × height.
- ½ × 24 × 6 = 72 cm².
- Answer: 72 cm²
Find the area and circumference of a circle with radius 6 cm (to 1 d.p.).
- Area = πr² = π × 6² = 113.1 cm².
- Circumference = 2πr = 2 × π × 6 = 37.7 cm.
- Answer: Area 113.1 cm², circumference 37.7 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 Working with Quadrilaterals
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Frequently asked
- Is this Grade 3 Working with Quadrilaterals 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 Quadrilaterals, Triangles. 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 Working with Quadrilaterals?
- Move on to Quadrilaterals in Context, Triangles, Circles, Polygons, which build directly on this idea.
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