Multiple transformations
I can carry out multiple transformations on a shape.
Multiple transformations
I can carry out multiple transformations on a shape.
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Lesson details
Key learning points
- A shape can be transformed more than once.
- The first transformation is performed on the object.
- The second transformation is performed on the image.
- The third transformation is performed on the new image etc.
Keywords
Object - The object is the starting figure before a transformation has been applied.
Image - The image is the resulting figure after a transformation has been applied.
Vector - A vector can be used to describe a translation.
Polygon - A polygon is a flat (2D), closed figure made up of straight line segments.
Common misconception
The number of spaces to translate a shape can be worked out by counting the squares on the grid.
If there are axes, then it is important to check the scales. The length of one square does not always represent one unit.
To help you plan your year 10 maths lesson on: Multiple transformations, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Multiple transformations, 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.
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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
Lesson video
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Starter quiz
6 Questions
1 left and 2 down -
$$\begin{pmatrix} -1 \\ -2 \\ \end{pmatrix}$$
1 right and 2 up -
$$\begin{pmatrix} 1 \\ 2 \\ \end{pmatrix}$$
2 right and 1 up -
$$\begin{pmatrix} 2 \\ 1 \\ \end{pmatrix}$$
2 right and 1 down -
$$\begin{pmatrix} 2 \\ -1 \\ \end{pmatrix}$$
2 left and 1 up -
$$\begin{pmatrix} -2\\ 1 \\ \end{pmatrix}$$
1 right and 2 up -
$$\begin{pmatrix} 1 \\ 2 \\ \end{pmatrix}$$
P'(-2, -3) -
$$x= 0$$
P'(2, 3) -
$$y = 0$$
P'(-3, 2) -
$$y=-x$$
P'(3, -2) -
$$y=x$$
Exit quiz
6 Questions
Button a -
translates object
Button b -
rotates object
Button c -
enlarges (dilates) object
Button d -
creates a polygon
Shape A to shape B -
Rotation $$90$$° clockwise about $$(4, 1)$$
Shape B to shape C -
Translation by $$\begin{pmatrix} -4 \\ -5 \\ \end{pmatrix}$$
Shape C to shape D -
Reflection in the line $$x=4$$
Shape D to shape E -
Enlargement, scale factor $$2$$, about $$(6,-3)$$