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AS 1.9 Transformations AS91034

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 pg Reflection Draw an image after reflection, Draw the mirror line given an object and image. Describe invariant properties under reflection. Describe a reflection. pg 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. pg Ex15.01 p228 pg 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. pg Ex15.02 p232 pg Symmetry Line symmetry, rotational symmetry & total order of symmetry. pg Ex16.01 p249 pg 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 pg 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 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. pg Ex16.03 p256 Descriptions for repeating designs Frieze patterns with: (T) Translation, (TR) Translate & Rotate, (TG) Translate & Horizontal Glide, (TV) Translate & Vertical Reflection pg pg Drawing symmetrical patterns Drawing repeating designs such as frieze patterns Writing instructions for making a repeating frieze pattern. Assesment Part 1 Design a single tile using some transformations: reflection, rotation, translation & enlargement Revision Class Notes | Blank Notes Assesment Part 2 Design a multiple tile frieze using some of (T) Translation, (TR) Translate & Rotate, (TG) Translate & Horizontal Glide, (TV) Translate & Vertical Reflection 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