Myths about teaching can hold you back
- Year 10•
- Higher
- Year 10•
- Higher
Shapes within shapes
I can express percentage shaded from shapes within shapes.
Lesson details
Key learning points
- You can express a number as a fraction of another and therefore as a percentage.
- If you have two areas, you can express one as a percentage of another.
- This can involve calculating with a variety of shapes.
- A calculator can be very useful here.
Keywords
Area - The area is the size of the surface and states the number of unit squares needed to completely cover that surface.
Common misconception
Using the incorrect value for finding the percentage, for instance, the area of the unshaded when it asks for the shaded region.
Encourage pupils to underline/highlight whether they are finding the percentage of the shaded or unshaded region.
To help you plan your year 10 maths lesson on: Shapes within shapes, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Shapes within shapes, 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 4 maths lessons from the 2D and 3D shape: compound shapes unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.25% of 2640 is .
Q2.20 as a percentage of 50 is %
Q3.The area of a square with edge lengths of 1.4 cm is cm².
Q4.The area of a circle with a diameter of 30 m is $$\pi$$ m².
Q5.Here are the first seven triangular numbers: 1, 3, 6, 10, 15, 21, 28. The next triangular number is .
Q6.The numbers 1, 4, 9, 16, 25, 36, 49, ... are called the numbers.
Assessment exit quiz
6 Questions
Q1.A shape has a total area of 50 cm². Part of the shape is shaded. An area of 24 cm² is left unshaded. % of the shape is shaded.
Q2.A shape has a total area of 45 cm². Part of the shape is shaded. An area of 27 cm² is left unshaded. % of the shape is shaded.
Q3.Which descriptors of this shape are correct?

Q4.The percentage of the shape which is shaded is %.

Q5.Which calculation is correct to find the percentage of the rectilinear compound shape which is shaded?

Q6.This shape is made from a circle and the removal of two congruent circles. The percentage shaded in this shape is %.
