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# Invariance

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by

## Mr Mattock

on 19 June 2017

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#### Transcript of Invariance

Invariance
Example
Invariance
Points whose coordinates do not change when they are transformed are called 'invariant' points.

Invariance in transformations
L.O. - To understand invariance and
identify invariant points in transformations

Which of these transformations moves all 4 vertices?

(a) Reflection in the line
y= 3
(b) Rotation 90 , centre
(-3, 3)
(c) Translation using vector
3
-3
Starter
Which of these transformations moves all 4 vertices?

(a) Reflection in the line
y= 3
(b) Rotation 90 , centre
(-3, 3)
(c)
Translation using vector
3
-3
A and D are invariant using
the transformation
..............................................

B is invariant using the transformation
................................................

A and C are invariant using the transformation
..................................................
Invariance in transformations
A and D are invariant using
the transformation
..
Reflection in the line x = -6
..

B is invariant using the transformation
.
Rotation, centre (-3, 6)
..

A and C are invariant using the transformation
..
Reflection in the line y = -x
..
Starter
In teams, complete the question by drawing the shape in the correct positions.
Starter
Main Activity 1
Complete the Red, Amber or Green
Activity on the sheet.
Red: (a) B, C (b) B (c) A, C (d) B
(e) Reflected in the line x = 7
(f) x = 2 (several others)
Amber: (a) A (b) B (c) A (d) C (e) A, C
(f) A, B (g) C (h) C
Dice of Ultimate Power

1) Give a key word for the lesson.
2) Summarise one key point for the
lesson.
3) Explain one thing you have learned this
lesson.
4) State one thing you still don't understand following this lesson.
5) Suggest one thing you would like to find out
based on this lesson.
6) Free choice from 1 to 5, or another you make
up.
Key
Examples

Activities
Activity