Checking and securing understanding of translation
I can describe a translation and perform a given translation on an object.
- Year 10
Checking and securing understanding of translation
I can describe a translation and perform a given translation on an object.
Lesson details
Key learning points
- It can be helpful to choose a vertex and translate that.
- Once all the vertices have been translated, the image can be drawn.
- The image and the object should be congruent.
- To translate, you need to know the distance left/right and up/down to move.
Keywords
Transformation - A transformation is a process that may change the size, orientation or position of a shape.
Translation - Translation is a transformation in which every point of a shape moves the same distance in the same direction.
Vector - A vector can be used to describe a translation.
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.
Common misconception
Pupils may write or read the column vector incorrectly by thinking the top element is for the vertical movement and the bottom element is for the horizontal movement.
Remind pupils that coordinates are horizontal before vertical and that is the same on a column vector.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.A transformation is a process that may change the size, orientation or of a shape.
Q2.Select the pieces of information that are required to fully describe a rotation.
Q3.Shape c has been rotated 180°clockwise about (-2, 2). The image is shape .
Q4.Match together equivalent rotations.
90° clockwise - 270° anti-clockwise
360° clockwise - 720° anti-clockwise
270° anti-clockwise - 450° clockwise
180° anti-clockwise - 180° clockwise
Q5.Shape is congruent to shape A.
Q6.Select the correct statements.
Assessment exit quiz
6 Questions
Q1.A is a transformation in which every point of a shape moves the same distance in the same direction.
Q2.Select the diagrams that show a translation.
Q3.Match each description to the correct vector.
2 left and 3 down - $$\begin{pmatrix} -2 \\ -3 \\ \end{pmatrix}$$
2 right and 3 up - $$\begin{pmatrix} 2 \\ 3 \\ \end{pmatrix}$$
3 left and 2 up - $$\begin{pmatrix} -3 \\ 2 \\ \end{pmatrix}$$
3 right and 2 down - $$\begin{pmatrix} 3 \\ -2 \\ \end{pmatrix}$$
2 left and 3 up - $$\begin{pmatrix} -2 \\ 3 \\ \end{pmatrix}$$
3 right and 2 up - $$\begin{pmatrix} 3 \\ 2 \\ \end{pmatrix}$$
Q4.The point P(4, 3) is translated by the vector $$\begin{pmatrix} 2 \\ -1 \\ \end{pmatrix}$$ to P'. What are the coordinates of P'?
Q5.Shape P is translated onto shape Q by the vector $$\begin{pmatrix} 2 \\ -3 \\ \end{pmatrix}$$. What transformation will map shape Q onto shape P?
Q6.Select the correct statements.
