Explain how to make different shapes with the same area
Lesson details
Learning outcome
I can create different shapes with the same area.
Key learning points
- If you have the same number of squares, the area will be the same however they are arranged.
- There must be no gaps or overlaps between the shapes for the area to be the same.
Keywords
Area - The measurement of a flat surface. It measures a 2D space.
Rectilinear - Rectilnear shapes are 2D polygons composed of one or more rectangles.
Common misconception
Two shapes cannot have the same area if they look different.
Use square sticky notes. Pupils can then move the shapes around to prove that two shapes can have the same area but look different.
Teacher tip
Pupils who grasp the concept of non-rectilinear shapes which use triangles having the same area as others may be encouraged to consider more complex non-rectilinear shapes, such as those in Lesson 2.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Which of the following shapes is rectilinear?
Q2.This shape has an area of square units.
Q3.This shape has an area of square units. Count squares efficiently.
Q4.Which of the following methods would help to work out the area of this rectilinear shape? Select all that apply.
Q5.What is the area of this shape in square units?
Q6.What is the area of this shape in square units?
Assessment exit quiz
6 Questions
Q1.Complete the definition: Rectilinear shapes are 2D polygons composed of one or more __________.
Q2.Look at Shape A and Shape B. Which of the following statements is true?
Q3.How can these shapes be made equal? Select all options that apply.
Q4.Tick all of the statements that are true about the two shapes shown in the image.
Q5.Tick all of the statements that are true.
Q6.Which of these combinations would combine to create a non-rectilinear shape with an area of 6 square units? Select all that apply.
To help you plan your 5 maths lesson on: Explain how to make different shapes with the same area, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 5 maths lesson on: Explain how to make different shapes with the same area, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Understand the concept of area unit, dive into the full primary maths curriculum, or learn more about lesson planning.