Transformations (NJT)

Nicola Trubridge, Jan 7, 2015

Welcome to a collection of resources designed to support developing progression in teaching transformations. The activities are designed to develop a deeper conceptual understanding of transformations by considering the use of the strategy of what stays the same and what changes?

Table of Contents

  1. Reflection
    1. Reflection in the x axis
    2. Reflection in the y axis
    3. Reflection in the line y=x
    4. Reflection: Find the mirror line (NJT)
    5. Reflection: Find the mirror line task 2 (NJT)
  2. Rotation
    1. Rotation of 0-360 degrees around a centre (NJT)
    2. Rotation of 90,180, 270 and 360 degrees about the origin
    3. Rotation: Find the centre task 1 (NJT)
    4. Rotation: Find the centre task 2 (NJT)
    5. Rotation: Find the centre task 3 (NJT)
  3. Translation
    1. Translation 1 (NJT)
  4. Enlargement
    1. Enlargement Positive integer SF (NJT)
    2. Enlargement: Find the centre 1(NJT)
    3. Enlargement: Find the centre 2(NJT)
    4. Enlargement: Find the centre 3 (NJT)
    5. Are they similar? (1)
    6. Exploring Congruent Shapes
    7. Spreadsheet and Similarity
    8. Enlargement 2 Positive Fractional SF (NJT)
    9. Enlargement 3 Fractional and Negative SF (NJT)

1.

Reflection

  • 1. Reflection in the x axis
  • 2. Reflection in the y axis
  • 3. Reflection in the line y=x
  • 4. Reflection: Find the mirror line (NJT)
  • 5. Reflection: Find the mirror line task 2 (NJT)

1.1.

Reflection in the x axis

What stays the [b]same[/b] and what [b]changes[/b] as you move the points around?[br]Are there any points that do not move under this transformation?[br]Where would the co-ordinate (x,y) map to?
[color=#0a971e]Created by N.Trubridge[/color]
What happens
– Nicola Trubridge

1.2.

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1.3.

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1.4.

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1.5.

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2.

Rotation

  • 1. Rotation of 0-360 degrees around a centre (NJT)
  • 2. Rotation of 90,180, 270 and 360 degrees about the origin
  • 3. Rotation: Find the centre task 1 (NJT)
  • 4. Rotation: Find the centre task 2 (NJT)
  • 5. Rotation: Find the centre task 3 (NJT)

2.1.

Rotation of 0-360 degrees around a centre (NJT)

What stays the [b]same[/b] and what [b]changes[/b] when you move [list] [*]the slider? [*]the vertices B,C and D? [*]the centre of rotation? [/list] Are there any points that do not move under this transformation?

[color=#0a971e]Created by N.Trubridge[/color]
– Nicola Trubridge

2.2.

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2.3.

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2.4.

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2.5.

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3.

Translation

  • 1. Translation 1 (NJT)

3.1.

Translation 1 (NJT)

What stays the [b]same[/b] and what [b]changes[/b] when you move [list] [*]the vertices of the polygons? [*]the polygons? [*]the vector? [*]the ends of the vector? [/list] Do any points stay in the same place after this transformation?

[color=#0a971e]Created by N.Trubridge[/color]
– Nicola Trubridge

4.

Enlargement

  • 1. Enlargement Positive integer SF (NJT)
  • 2. Enlargement: Find the centre 1(NJT)
  • 3. Enlargement: Find the centre 2(NJT)
  • 4. Enlargement: Find the centre 3 (NJT)
  • 5. Are they similar? (1)
  • 6. Exploring Congruent Shapes
  • 7. Spreadsheet and Similarity
  • 8. Enlargement 2 Positive Fractional SF (NJT)
  • 9. Enlargement 3 Fractional and Negative SF (NJT)

4.1.

Enlargement Positive integer SF (NJT)

What stays the [b]same[/b] and what [b]changes[/b] when you move[br][list][br][*]the SF slider[br][*]the centre[br][*]the vertices A,B and C?[br][/list][br]Are there any points that do not move under this transformation?
[color=#0a971e]Created by N.Trubridge[/color]
– Nicola Trubridge

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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4.9.

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Information