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- Year 10•
- Foundation
Checking and securing understanding of enlargement with positive integer scale factors
I can describe an enlargement and perform a given enlargement on an object.
- Year 10•
- Foundation
Checking and securing understanding of enlargement with positive integer scale factors
I can describe an enlargement and perform a given enlargement on an object.
Lesson details
Key learning points
- Each length in the shape is multiplied by the scale factor.
- Each vertex in the object is a given distance from the centre of enlargement.
- This distance is also multiplied by the scale factor to give the distance of the image's vertex.
- A positive integer scale factor produces an image that is bigger than the original.
- To enlarge, you need the centre of enlargement and a scale factor.
Keywords
Transformation - A transformation is a process that may change the size, orientation or position of a shape.
Enlargement - Enlargement is a transformation that causes a change of size.
Scale factor - A scale factor is the multiplier between similar shapes that describes how large one shape is compared to the other.
Centre of enlargement - The centre of enlargement is the point from which a shape is enlarged.
Common misconception
Pupils may measure/count from the object rather than the centre of enlargement.
Have pupils check their answers using ray lines.
To help you plan your year 10 maths lesson on: Checking and securing understanding of enlargement with positive integer scale factors, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Checking and securing understanding of enlargement with positive integer scale factors, 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 Further transformations unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.A of a shape is the mirror image of the shape.
Q2.Which of these diagrams do NOT show a reflection?




Q3.Two shapes are similar if the only difference between them is their __________. Their side lengths are in the same proportions.
Q4.Which of these diagrams show a reflection?




Q5.Quadrilaterals A and B are similar. The length of the side marked $$z$$ is cm.

Q6.Rectangle B is an enlargement of rectangle A by scale factor 2. Rectangle A has perimeter = 18 cm and area = 18 cm². Both rectangles have integer side lengths. Find the area and perimeter of B.

Assessment exit quiz
6 Questions
Q1.An enlargement will produce an image that is __________ to the object.
Q2.Shape A is enlarged to give shape B. The scale factor of this enlargement is .

Q3.These two shapes are an enlargement of each other. The missing length is cm.

Q4.Shape A is enlarged to give shape B. The scale factor of this enlargement is .

Q5.Shape A is enlarged to give shape B. What is the centre of the enlargement?

Q6.Shape A is enlarged by scale factor 2, centre (6, 6) to give shape B. Select the points that should be joined to give shape B.
