Area of Rectangles and Compound Shapes

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1 Getting Started
2 Watch and Notice
3 Try It Together
4 Sketch the Split in Your Copy
5 Class Challenge
6 What Did We Notice?
7 What's Next
Pupil practice

1 - Getting Started ~4 mins

Illustration for Getting Started Look at this tiled floor. Every tile is the same size. How many tiles cover the whole floor? Would you count them one by one, or is there a faster way?

Teacher Notes

Take two or three hands-up answers. If a pupil says 'count the rows and multiply', revoice it: so we count along one row, then count the rows. Keep this to a minute — the multiply idea is the seed for the whole lesson.

👇 Mark your steps as done as you complete them.

+5 XP

2 - Watch and Notice ~9 mins

Illustration for Watch and Notice

6 cm × 4 cm rectangle

Watch this rectangle. It is 6 cm along and 4 cm down. Instead of counting every little square, we multiply: 6 × 4 = 24. So the area is 24 cm². Notice the unit is squared.

5.5 m × 3 m floor

This floor is 5.5 m long and 3 m wide. The same rule works with decimals: 5.5 × 3 = 16.5 m².

L-shaped room split into two rectangles

This L-shaped room is harder. We draw one line to split it into two rectangles. We find each rectangle's area, then add them for the total.

Working backwards to find a missing side

Sometimes we know the area and one side, and we have to find the other side. The rule is still area = length × breadth. So if a rectangle has an area of 36 cm² and one side is 9 cm, we ask: 9 times what gives 36? That is the same as 36 ÷ 9 = 4, so the other side is 4 cm.

Teacher Notes

Walk each example aloud, one at a time.

6 × 4 — point to one row of six squares, then the four rows; six in a row, four rows, so six fours.
5.5 × 3 — stress the rule does not change for decimals; estimate 5 × 3 = 15 first as a check.
L-shape — show the dividing line, find each part, then add. (Optional, if the class is confident: you can also show the same L as big rectangle minus the corner so they see both routes land on the same total — but split-and-add is the method we use for the rest of the lesson, so don't dwell on it.)
Working backwards — read the last block slowly: we know one side and the area, so we ask what times that side gives the area. Make the link to division explicit: 9 times what gives 36 is the same as 36 ÷ 9.

Hold the unit firm — every answer ends in cm² or m², never plain cm or m.

👇 Mark your steps as done as you complete them.

+10 XP

3 - Try It Together ~11 mins

Today we work through this compound shape together: an L made of two rectangles. We'll drag and resize a rectangle to cover each part, read its area, then add the two parts for the total.

Cover and add the L-shape

Teacher Notes

This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud.

Cover one rectangle at a time. Ask the class to name its length and breadth before anyone multiplies. Then add the two part-areas aloud. Watch for the slip where a pupil uses a side from the wrong rectangle — point back at the dividing line. Keep every answer ending in the squared unit.

+15 XP

4 - Sketch the Split in Your Copy ~3 mins

COPYBOOK MOMENT

Illustration for Sketch the Split in Your Copy In your maths copy, sketch each compound shape. Draw the line that splits it into two rectangles. Label both rectangles' lengths and breadths, then write the total area underneath. Don't forget the unit (cm² or m²).

Teacher Notes

Walk the room glancing at the dividing line and the squared unit — this is whole-class copybook practice, not marking. Catch any answer written as plain m instead of m².

+10 XP

5 - Class Challenge ~9 mins

Today we work through these area problems together, each one a little harder than the last. First the area of a 7 m × 4 m rectangle. Then an L-shape and a T-shape, splitting each into rectangles and adding. Finally a reverse puzzle: a rectangle has an area of 36 cm² and one side is 9 cm — find the other side. Remember, the rule is still area = length × breadth, so knowing the area and one side lets us work out the other by asking what number times that side gives the area (the same as 36 ÷ 9).

Area problems

Teacher Notes

This round is the practice bank — pupils take turns at the board, check each answer, and the class confirms before moving on. The on-screen figures are the rectangle, the L-shape and the T-shape; work them in order.

7 × 4 rectangle — 28 m². A quick warm-up.
L-shape — a 5 m × 3 m rectangle and a 2 m × 2 m rectangle, so 15 + 4 = 19 m².
T-shape — a 6 m × 2 m top bar and a 2 m × 3 m stem, so 12 + 6 = 18 m².
Reverse puzzle — give this its own beat. Area 36 cm², one side 9 cm. Prompt: we know area = length × breadth, so what number times 9 gives 36? Then make the division explicit: that's 36 ÷ 9 = 4 cm. This is the stretch for the strongest pupils.

Keep every answer in its squared unit.

+15 XP

6 - What Did We Notice? ~3 mins

MATHS TALK

Why is area measured in squared units, like cm² and m², instead of plain cm and m? What is it about area that makes us square the unit?

Teacher Notes

Listen for pupils linking the squared unit back to covering the surface with little squares. Revoice a strong answer: so area counts squares, and each square is one centimetre by one centimetre — that's why it's centimetres squared. Head off the slip where pupils write plain m for an area.

+10 XP

7 - What's Next ~2 mins

Key Takeaways

The area of a rectangle is length × breadth.
Split a compound shape into rectangles, find each area, then add.
If you know the area and one side, divide to find the other side.
Area is always written in squared units: cm² or m².

Coming Up

Coming up

Next we look at the area of triangles, and we will see that a triangle is exactly half of its surrounding rectangle.

Teacher Notes

A quick recap is enough here. Re-read the takeaways with the class and let the triangle preview hook their curiosity.

+5 XP

Pupil practice

Module 5 · Measures: Length, Area, Volume, Mass and Capacity Measures

Lesson 49 · Area of Rectangles and Compound Shapes

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Teacher Class Feed

1 - Getting Started ~4 mins

2 - Watch and Notice ~9 mins

6 cm × 4 cm rectangle

5.5 m × 3 m floor

L-shaped room split into two rectangles

Working backwards to find a missing side

3 - Try It Together ~11 mins

Cover and add the L-shape

4 - Sketch the Split in Your Copy ~3 mins

5 - Class Challenge ~9 mins

Area problems

6 - What Did We Notice? ~3 mins

7 - What's Next ~2 mins

Key Takeaways

Coming Up

Unlock the full learning experience

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