Multiple transformations
I can carry out multiple transformations on a shape.
Multiple transformations
I can carry out multiple transformations on a shape.
These resources will be removed by end of Summer Term 2025.
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.
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 $$(6,-3)$$