Transformations
Introduction
In this lesson, you will learn four types of transformations namely translation, reflection, rotation and enlargement . For a quick introduction of these topics, take a look at the BBC Bitesize website here.
We will now go through a series of lessons on Desmos on transforming shapes. You may wish to skip the ones under the heading "Describing Transformations Informally" and move straight onto the ones under "Describing Transformations Precisely".
Describing Transformations Informally
Transformers (OPTIONAL) - how would you describe the transformations of plane figures in everyday language? In this task, you will experiment with different ways of describing some transformations in the plane.
Sketchy Dilations (OPTIONAL) - test these "sketching machines" out, how do they change your drawings? In this task, you will be introduced to similar shapes as the result of enlargement (a.k.a dilation, stretch).
Describing Transformations Precisely
Transformation Golf: Rigid Motion (OPTIONAL INVESTIGATION) - use your understanding of translations, reflections, and rotations to complete a round of transformation golf!
Polygraph: Rigid Transformations (OPTIONAL PRACTICE) - practise describing the transformations to each other. What are some effective questions you can ask? What is the most mathematical way of describing these transformations?
Dilation Mini Golf OPTIONAL INVESTIGATION) - you will learn how to enlarge a single point from a centre by different scale factors through playing rounds of mini golf!
Transformation Golf: Non-Rigid Motion (ESSENTIAL INVESTIGATION) - use your understanding of translations, reflections, rotations and enlargement to complete a round of transformation golf!
Connecting the Dots (ESSENTIAL PRACTICE) - practice communicating precisely about transformations of polygons on the coordinate grid. Think carefully what information is needed to describe a transformation in a clear, precise way!
Des-Patterns (OPTIONAL PRACTICE) - practice writing coordinate rules to transform figures to complete patterns. You'll end by designing you own pattern and using the math you've learned to extend a pattern designed by a classmate.
Further Practice
You are encouraged to learn and practise the different transformations (translation, reflection, rotation and enlargement) by looking at the relevant skills on DrFrostMaths, CorbettMaths, MyiMaths and Eedi.
Look at this video if you need further support. If you are confident you may wish to first take a look at this card sort.
Transum
Which Transformation?: Identify which simple transformations these diagrams represent.
Alpha Twist: Develop your skills and understanding of rotation in this fast-paced challenge.
Transformation Tetris: Develop your skills translating and rotating shapes in this fast paced classic game.
Transformations: Draw transformations online and have them instantly checked. Includes reflections, translations, rotations and enlargements.
Vector Cops: Help the cops catch the robbers by finding the vectors that will end the chase.
Blow Up: Click on all the points that could be the centre of enlargement of the shape if the image does not go off the grid.
For more goodies on Transformation on Transum, click on the hyperlink.
If you would like a print out worksheet, then try the one below:
ch11 transformations worksheets.pdfAnswers are here.
The Fun Stuff
Have a go at this transtar game on mangahigh - reflect, rotate and enlarge the TranStar to journey through the perilous voids of space in search of a new home.
If you want something more fun, why not challenge a friend to play this transformation game on nRich? You will need to first PRINT out the board and the cards.
Try the codebreakers below:
Transformation-Codebreaker-1.pptxTransformation-Codebreaker-2.pptxTransformation-Codebreaker-3.pptx