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Geometry and Measurement -Transformation
Geometry and Measurement -Transformation
HERO Goals:
Identify and use the features of a figure that do not change (invariant properties) as it is reflected, rotated, translated or enlarged.LEARN
LEARN
Reflection
Rotation
Translation
Enlargement
This week we will look at understanding and applying the geometric concept of Transformation which includes:
Reflection, translation, rotation and enlargement.
Reflection
Reflection
Reflection is the movement or flip of a shape or pattern across a mirror line.
Any point touching the mirror line stays in the same place after reflection.
After an object is reflected, the shape is called an image.
A shape has line symmetry if it has at least one mirror line.
A line of symmetry is the fold line or mirror line for a shape that is the same on both sides of the line.
Rotation
Rotation
Rotation involves turning around a centre of rotation.
The angle of rotation tells us the size of the turn.
After being rotated, the object is called an image.
A full turn means the image is back where the object started from.
Rotational symmetry is how many times a shape overlaps itself in one full turn (360 degrees).
Translation
Translation
Translation is when a shape moves across and/or up or down.
Translation can be described by the distance moved horizontally and vertically.
After being translated, the object is called an image.
Enlargement
Enlargement
Enlargement can make shapes bigger or smaller.
The scale factor describes how much the length has been enlarged - Working out the scale factor is and important part of enlargement - This video may help Scale factors explained
All sides of a shape are increased or decreased by the same scale factor.
After enlargement, the object is called an image.
CREATE
CREATE
Using gridded paper either digitally or in your maths book show your own examples of each of the concepts above using a Kōhaiwhai pattern
Reflection
Rotation
Translation
Enlargement - you must include the scale factor
On square grid paper, within a rectangle, create three different designs using the koru or other pattern of your choice. Try to have parts of your designs touching so that you have some enclosed spaces. Colour these spaces red. Colour the other parts of the design black.
Make 3 or more Kōwhaiwhai patterns using the designs you created. At least one of your patterns should use two transformations.
Koru
This example shows mangō pare, the hammerhead shark
SHARE
SHARE
Upload your work to your blog, make sure you give an introduction about what you have been working on this week and with each different pattern explain which transformation you have used. If you have done your work in your maths book, take a picture and upload it.
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