Grasp Maths

Year 4

Find the area of rectilinear shapes by counting squares

Find area by counting how many equal square units cover the surface of a rectilinear shape.

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Lesson overview

Measurement

Area measures how much surface is covered. We can find the area of a rectilinear shape by counting the equal squares inside it. Each square is one square unit.

Count the square units

A shape covering 8 equal squares has an area of 8 square units.

Count the inside squares, not the outside edge.

Area is inside, perimeter is outside

Area counts inside squares while perimeter measures around the outside.

Area and perimeter are different ideas.

Equal squares matter

The squares must all be the same size for the count to be fair.

Area

count equal squares

Perimeter

measure around edge

Equal squares make the measurement reliable.

Worked example

A rectilinear shape covers 12 equal squares. What is its area?

  1. Look at the inside of the shape.
  2. Count the equal squares that cover it.
  3. There are 12 squares.
  4. So the area is 12 square units.

Round 1: Learn it

Count the inside equal squares carefully and keep area separate from perimeter.

Finish this round to unlock Round 2: Show you know it.

Question 1

A shape covers 6 equal squares. What is its area?

Question 2

Which part of the shape do we count for area?

Question 3

A rectilinear shape covers 14 equal squares. Write the number only.

Question 4

Which idea matches area?

Area

count square units

Perimeter

add outer sides

Question 5

A shape covers 9 equal squares. What is its area?

Common mistakes

Watch for these as you work through the lesson.

  • Counting the edge instead of the inside squares.
  • Mixing up area and perimeter.
  • Forgetting that the squares must be equal in size.

Related topics

These ideas connect closely to this lesson.

  • Measure and calculate the perimeter of a rectilinear figure in centimetres and metres.
  • Convert between different units of measure.

Practice next

Independent practice will plug in here

This lesson teaches the pattern first. Deeper Year 4 practice can connect here later.