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NZAMT NZQA NZ Grapher NZ Maths Census at School Study It

AS 1.9 Transformations AS91034

1.9 Transformations Home | Achievement Objectives | Overview | Reflection | Rotation | Translations | Symmetry | Enlargement | Analyse Symmetry | Describing | Revision

Summary: 2 Credit Internal Assessment

Transformations: reflection, rotation, translation, enlargement, combined transformations.

Symmetrical patterns: symmetry, transformational patterns of quadrilaterals, design and transformations.

  • Define and use transformations and describe invariant properties of figures and objects under these transformations.
  • Compare and apply single and multiple transformations.
  • Analyse symmetrical patterns by the transformations used to create them.
Word doc 07/03 Excel Sheet 07/03 Gamma 'Aiming for excellence' Homework Book (David Barton), Gamma Text Book (David Barton)2004 edition and 2010 edition, Gamma Fundamentals 2010, Web link Power Point
1



Overview

Overview of the four transformations and repeating pattern designs

Achievement Standard | Overview

pg226

Assessment Criteria

pg

2



Reflection

Draw an image after reflection, Draw the mirror line given an object and image.

Describe invariant properties under reflection.

Describe a reflection.

Class Notes | Blank Notes

 

A

pg

3



Rotation

Draw an image after Rotation.

Describe invariant properties under Rotation.

Describe a Rotation, including the angle & direction & centre of rotation given an object and image.

Class Notes | Blank Notes

pg Ex15.01 p228

A

pg

4



Translation

Draw an image after Translation.

Describe invariant properties under Translation.

Describe a Translation, including the vector given an object and image.

Draw vector diagrams and write column vectors representing a vector diagram.

Class Notes | Blank Notes

pg Ex15.02 p232

A

pg

5



Symmetry

Line symmetry, rotational symmetry & total order of symmetry.

Class Notes | Blank Notes

pg Ex16.01 p249

A

pg

6



Enlargement

Draw an image after an Enlargement, for a scale foctor greater than 1, between 0 & 1, and a negative scale factor

Describe invariant properties under Enlargement.

Describe a Enlargement, including finding the centre of enlargement, scale factor when given an object and image.

Basic Enlargement Class Notes | Blank Notes

Fractional & Negative Enlargement Class Notes | Blank Notes

pg Ex15.03 p237

Scale factor, Area, Volume Class Notes | Blank Notes

pg Ex15.04 p240

A

pg

7



Combined transformations

Drawing images after multiple transformations.

Describing multiple transformations.

Combined Transformations Class Notes | Blank Notes

Summary of Invariance Class Notes | Blank Notes

pg Ex15.05 p244

 

8



Drawing a design using multiple transformations

Using several different transformations to make a tile pattern of logo design.

Describing the transformations involved in making the design. Writing instructions for others to make the same design.

Class Notes | Blank Notes

pg Ex16.03 p256

 
9



Descriptions for repeating designs

Frieze patterns with: (T) Translation, (TR) Translate & Rotate, (TG) Translate & Horizontal Glide, (TV) Translate & Vertical Reflection

Class Notes | Blank Notes

pg pg

 

10



Drawing symmetrical patterns

Drawing repeating designs such as frieze patterns

Writing instructions for making a repeating frieze pattern.

Class Notes | Blank Notes

 

 

11



Assesment Part 1

Design a single tile using some transformations: reflection, rotation, translation & enlargement

Revision Class Notes | Blank Notes

 

 

12



Assesment Part 2

Design a multiple tile frieze using some of (T) Translation, (TR) Translate & Rotate, (TG) Translate & Horizontal Glide, (TV) Translate & Vertical Reflection

   
13



Assesment Part 3

Writing instructions for making the assessment design and repeating frieze pattern.

Link to NZQA resources with worked examples and explanation

  • AS91034 - Apply Transformation Geometry in Solving Problems (1.9A) - ASSESSMENT RESOURCE A
  • AS91034 - Apply Transformation Geometry in Solving Problems (1.9B) - ASSESSMENT RESOURCE B

 

   

 

 

 

 

 

 

 

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