1 of 19

Matrix transformation inquiry

Inquiry Maths

All combined transformations can be represented by a single matrix.

2 of 19

Inquiry prompt

Inquiry Maths

All combined transformations can be represented by a single matrix.

3 of 19

Inquiry Maths

4 of 19

Inquiry prompt

Inquiry Maths

All combined transformations can be represented by a single matrix.

5 of 19

Link to Regulatory cards

Inquiry Maths

6 of 19

Inquiry Maths

7 of 19

Preliminary inquiry

Inquiry Maths

8 of 19

 

 

 

 

What transformations do these matrices represent?

 

 

 

Preliminary inquiry

Inquiry Maths

9 of 19

Inquiry Maths

 

10 of 19

 

 

 

 

What transformations do these matrices represent?

 

 

 

Preliminary inquiry

 

 

 

 

 

 

 

Inquiry Maths

All rotations anticlockwise about the origin.

11 of 19

 

 

 

 

What transformations do these matrices represent?

Preliminary inquiry

 

 

 

 

Inquiry Maths

 

 

12 of 19

 

 

 

What transformations do these matrices represent?

Preliminary inquiry

Inquiry Maths

13 of 19

 

 

 

What transformations do these matrices represent?

Preliminary inquiry

Inquiry Maths

 

 

 

14 of 19

Combined transformations

Inquiry Maths

15 of 19

Inquiry prompt

Inquiry Maths

All combined transformations can be represented by a single matrix.

16 of 19

First transformation

Second transformation

Reflection

Reflection

Reflection

Rotation

Reflection

Enlargement

Rotation

Rotation

Rotation

Reflection

Rotation

Enlargement

Enlargement

Enlargement

Enlargement

Reflection

Enlargement

Rotation

Inquiry Maths

Choose a pair of transformations.

Decide on the type of reflection, rotation or enlargement you will use.

Use the two matrices to find the vertices of the object, then check with a sketch to see if matrix multiplication has given you the correct points.

17 of 19

 

Inquiry Maths

18 of 19

 

Inquiry Maths

19 of 19

Inquiry Maths