You will learn
- Say what area means.
- Compare areas by covering shapes.
- Tell area apart from length and perimeter.
- Use area words correctly.
Version 0.2 · expanded edition · built from cited public sources Content is based on the official frameworks and sources listed under Sources and standards. No official endorsement is claimed. Written in the style of common primary school assessments. No exam result is promised.
Student lesson
- Area is the surface a shape covers.
- Cover with equal squares, no gaps.
- Area is not the distance around.
- More squares means a bigger area.
Words to know
The amount of flat surface a shape covers.
The flat top of something.
Fill with no gaps or overlaps.
Say which is bigger or smaller.
1. Discover: covering a table
Two tables are covered with square mats. Table A takes 6 mats. Table B takes 9 mats. Which table has the bigger top?
2. Understand: what area is
Area is the amount of flat surface a shape covers. We find it by covering the shape with equal squares, with no gaps and no overlaps, and counting them.
- A shape covered by 9 squares has a bigger area than one covered by 6.
- Length measures a line. Perimeter measures the distance around. Area measures the surface inside.
Two different shapes can have the same area. A shape covered by 6 squares in a row and a shape covered by 6 squares in two rows of 3 both have an area of 6 squares.
Idea 1: Surface
Area is the amount of flat surface a shape covers. Cover the shape with equal squares and count them.
Idea 2: Compare
A shape covered by 8 squares has a bigger area than one covered by 5. Two shapes with 6 squares each have the same area.
Idea 3: Not perimeter
The distance around a shape is its perimeter. Area is the space inside.
Why equal squares? Unequal squares would not give a fair count.
3. Worked examples
Example 1 (I show you): Compare
8 squares or 5 squares: which is bigger?
- 8 is more than 5.
Answer: 8 squares
Example 2 (We do it together): Same
Two shapes each cover 6 squares.
- 6 = 6.
Answer: the same area
Example 3 (You try): Perimeter
Does area measure the distance around?
Show the steps and answer
- No, that is perimeter.
Answer: No
Did you know?
Farmers use area to know how much land they have.
Why this matters
Area tells how much space something covers.
4. Explore: cover and count
You need paper squares or a grid and a pencil.
- Draw two shapes on a grid.
- Count the squares inside shape A.
- Count the squares inside shape B.
- Say which has the bigger area.
Think about it: what did you notice?
The shape with more squares has the bigger area.
5. Practise
Say it in a sentence
Use these starters when you talk about the lesson. Say them out loud.
- The shape covers ___ squares.
- The bigger area is ___.
- Area is the ___ inside.
- The distance around is the ___.
Guided practice
Question 1. Table A needs 6 mats and table B needs 9. Which is bigger?
Table B.
Question 2. Area measures the ___ inside a shape.
surface.
Question 3. Can two shapes have the same area?
Yes.
Independent practice
Level 1: Start
- Shape covered by 8 squares or 5 squares: which is bigger?
- Area is measured by covering with equal ___
- Does area measure the distance around?
- Two shapes each covered by 6 squares: same area?
- Which is bigger: 12 squares or 10 squares?
Level 2: Grow
- 7 squares or 11 squares: which is bigger?
- Two shapes each covered by 10 squares have…
- Does area measure the distance around?
Level 3: Stretch
- A rug covers 18 squares and a mat covers 12. How many more squares does the rug cover?
- Two parts cover 5 squares and 4 squares. What is the total area?
- Kofi measures area by measuring round the edge. What is wrong?
Answers are in the answer key below. Try first, then check.
6. Apply: everyday mathematics
A mat covers 7 squares of the floor. A rug covers 11 squares. Which covers more?
Show a sample answer
The rug.
Another one. Draw two different shapes that each cover 6 squares.
Show a sample answer
for example 2 rows of 3 and 1 row of 6
7. Common mistakes
Fix: Count the squares that cover it.
Fix: Area is inside. Perimeter is around.
Fix: Cover with no gaps or overlaps.
8. Lesson summary and revision card
- I know what area means.
- I can compare areas by covering.
- I can tell area from length and perimeter.
- I can use area words correctly.
9. Check and master
Answer all 14 questions. You will see feedback after each one.
Your result appears here after you answer every question.
10. Key takeaways
- Area is the surface inside a shape.
- Cover with equal squares and count.
- Same area, different shapes is possible.
11. Next lesson
Next lesson: Square units. Keep going with the next idea in this course.
Exam practice
These questions are written in the style of common school and international primary assessments. Try them on your own, without looking back. Then check your answers in the marking guide. The marks are shown in brackets.
- What is area? [1 mark]
- Which has the bigger area: 8 squares or 5 squares? [1 mark]
- What is the distance around a shape called? [1 mark]
- A rug covers 11 squares and a mat covers 7. How many more does the rug cover? [2 marks]
- Ali says two shapes with 6 squares each have different areas. Is he right? Explain. [3 marks]
Total: 8 marks.
Marking guide and model answers
- The surface a shape covers [1]
- 8 squares [1]
- Perimeter [1]
- 11 − 7 [1] = 4 [1]
- No [1]. Both cover 6 squares [1]. The areas are the same [1].
Score guide: 7 to 8 = secure. 5 to 6 = nearly there, revise the parts you missed. Under 5 = work through the lesson again with a grown-up.
Printable worksheet
- Which is bigger: 8 squares or 5 squares?
- Area measures the ___ inside a shape
- Two shapes of 6 squares each: same area? (yes/no)
- Does area measure the distance around? (yes/no)
- 12 squares or 10: which is bigger?
- Area is the surface a shape ___.
- We find area by covering with equal ___.
- Which is bigger: 9 squares or 7 squares?
- Two shapes each covered by 6 squares have the ___ area.
- The distance around is the ___.
Homework
Draw two different shapes on squared paper with the same area.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| Which is bigger: 8 squares or 5 squares? | 8 squares | 2 |
| Area measures the ___ inside a shape | surface | 2 |
| Two shapes of 6 squares each: same area? (yes/no) | yes | 2 |
| Does area measure the distance around? (yes/no) | no | 2 |
| 12 squares or 10: which is bigger? | 12 squares | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 8 squares; 2 surface; 3 yes; 4 no; 5 12 squares.
Quiz answers: 1 A, 2 B, 3 C, 4 A, 5 B, 6 A, 7 B, 8 C, 9 A, 10 B, 11 C, 12 A, Challenge 1 C, Challenge 2 C.
Extra worksheet answers (items 6 onward): 6 covers; 7 squares; 8 9 squares; 9 same; 10 perimeter.
Independent practice answers. Level 1: 1 8 squares; 2 equal squares; 3 no, that is perimeter; 4 yes, the same area; 5 12 squares. Level 2: 1 11 squares; 2 the same area; 3 No. Level 3: 1 6; 2 9 squares; 3 That is perimeter. Area is the surface covered, found by counting squares..
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Say what area means | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O2 Compare areas by covering shapes | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O3 Tell area apart from length and perimeter | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O4 Use area words correctly | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
Courseversity badge thresholds (overall quiz score): Gold = 90–100%; Silver = 80–89.9%; Bronze = 70–79.9%. A badge is never a full record of progress.
If a learner struggles
- Find the misconception: Thinking a longer shape always has a bigger area. Count the squares that cover it.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Cover shapes with paper squares and count them.
- Guided practice: work through one example together and let the learner try the next one.
- Reassess: use the quiz again or the worksheet.
- Move on when the learner shows Silver-level evidence independently.
For parents and guardians
In this lesson your child learns that area is the surface a shape covers. You do not need to be good at mathematics to help.
- Cover a table with squares of paper.
- Ask: which covers more?
- Compare two floor tiles.
- Ask “how do you know?” after each answer, and listen.
- Praise effort, not only right answers. Mistakes are how we learn.
- Ten to fifteen minutes a day is better than one long session.
Teacher package
1–5. Objectives, prerequisites, materials, preparation, duration
Lesson objectives. Learners will: say what area means; compare areas by covering shapes; tell area apart from length and perimeter; use area words correctly.
Prerequisite knowledge. Grade 2 shapes and measurement.
Materials. Counters (stones, seeds or bottle tops), paper, pencils, board or chalkboard. Low-resource options: use stones, seeds, sticks, bottle tops or drawings in the sand or on the board instead of printed materials.
Preparation. Gather the counters and draw the example pictures on the board before the lesson.
Suggested duration. 45–60 minutes. It can be split into two shorter sessions.
6–9. Teaching procedure, explanation notes, guided and independent activities
Introduction (5 min). Start with the Discover situation and let learners suggest ideas before you teach.
Explanation (10 min). Teach the Understand section with real objects first, then pictures, then symbols and words.
Guided activity (10 min). You need paper squares or a grid and a pencil. Learners follow the Explore steps in pairs.
Independent activity (10 min). Learners complete the independent practice and the worksheet.
Assessment and reflection (5 min). Ask each learner to say one thing they learned and how they know it.
Key questions. What is covered? How many squares? Which is bigger?
Teacher explanation notes. Use the concrete, pictorial, abstract order: real objects first, then pictures, then symbols and words. Return to real objects whenever a learner needs support.
10–12. Differentiation, formative assessment, common misconceptions
Support. Use real objects and work with a partner; say each step aloud together. Extension. Ask learners to make up their own example and explain it to a partner.
Formative assessment. Listen to learner explanations, ask “how do you know?”, and check the independent work.
Misconceptions. Thinking a longer shape always has a bigger area. Count the squares that cover it.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz and worksheet on this page. The 8-mark exam practice scheme, the 10-mark scheme and all answers are in the answer sections above. Re-check every answer and the marking scheme before publication.
16–19. Remediation, enrichment, homework, teacher reflection
Remediation. Cover shapes with paper squares and count them. Enrichment. Invite learners to find or create three more examples at home or in the classroom and explain them. Homework. See above.
Teacher reflection. After teaching, record: which concepts learners understood; which misconceptions occurred; which activities worked; which learners need more practice; and what to improve next time.
Sources and standards
This lesson is based on the sources below, and no official endorsement is claimed. Reference starting points named in the Courseversity standard: Common Core State Standards for Mathematics, Cambridge Primary and the IB Primary Years Programme. Where a standard code is named, it points to the official framework.
Official standards for this topic area. Common Core State Standards for Mathematics (official site): Grade 3 » Measurement & Data. These pages list the standards that cover this topic area; read them alongside the lesson.
Research used to shape this lesson. Common Core 3.MD.C.5 (concepts of area); Cambridge Primary Mathematics Stage 3 (area). These sources informed the lesson.