New
New
Year 5
Calculate the area of shapes made from 2 or more rectangles
I can calculate the area of shapes made from 2 or more rectangles.
New
New
Year 5
Calculate the area of shapes made from 2 or more rectangles
I can calculate the area of shapes made from 2 or more rectangles.
Lesson details
Key learning points
- To find the area of a rectangle you multiply the length by the width.
- Compare different methods to decompose shapes and decide which is the most efficient.
- Choose the most efficient calculation strategies to calculate the area of a compound rectilinear shape.
Common misconception
There is only one way to split a compound shape to calculate the area.
Make time in the lesson to model and discuss different ways of calculating the area of compound shapes. Include strategies that move parts of the shape to simplify the shape and the calculations needed.
Keywords
Compound - A compound shape is made up of two or more shapes.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
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6 Questions
Q1.
Match the multiplication equation to the correct answer.
= 200
= 240
= 250
= 210
Q2.
Which of these compound shapes has the largest area?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1705750794%2Fim7tvlkz5zlgyqnelo5u.png&w=750&q=75)
a
Q3.
Which would be the most efficient strategy to calculate the area of this compound rectilinear shape?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1705408193%2Fbesskksfgjninaapwa6t.png&w=640&q=75)
Split it into two rectangles using a vertical line. Combine the two areas.
Split it into two rectangles using a horizontal line. Combine the two areas.
Q4.
What are the missing dimensions for the square?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1705750545%2Fvs7vukn4ushg0pao3wdu.png&w=640&q=75)
12 cm and 12 cm
11 cm and 12 cm
11 cm and 10 cm
Q5.
Tick all the possible pairs of dimensions from the list.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1705749711%2Fmaaqyfkaet9a9aikwqwb.png&w=1200&q=75)
3 cm and 10 cm
4 cm and 6cm
Q6.
The area of this compound shape is 227 cm². What is the missing dimension?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1705408197%2Fawm7k7uat3dhkbazt8vo.png&w=828&q=75)
5 cm²
8 cm²
6 cm²
Exit quiz
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6 Questions
Q1.
A shape is one that is made up of two or more shapes.
rectangle
rectilinear
square
Q2.
This is an image of the French flag. It consists of three rectangles of equal size. Calculate the area of the blue part. cm²
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1705495420%2Fstvk716c3xuotmnggucn.png&w=640&q=75)
Q3.
This image is of the flag from the Netherlands. It consists of three rectangles of equal size. Calculate the total area of the flag. cm²
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1705495432%2Fsurg1aeft05u5rg4dbwk.png&w=640&q=75)
Q4.
This rectilinear shape is made up of four identical rectangles. Choose an efficient method to calculate the area. A = cm²
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1705496202%2Fjoytvzv1udeu3vsngzyw.png&w=640&q=75)
Q5.
Laura has chosen to decompose this compound rectilinear shape into two rectangles. Which multiplications will she use to help calculate the area?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1705495432%2Fchmvbutnh2piqqrhesd4.png&w=640&q=75)
11 cm × 9 cm
11 cm × 3 cm
Q6.
To calculate an area of the playground, Luca has chosen to calculate the whole area and then subtract the missing part. Correctly order the calculations that he would do.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1705495433%2Fojddtfsx7bnuapnibg1l.png&w=640&q=75)