Module 7  Transformations  
Module Content  Lesson Resources  Lesson Plans  Exam Questions  Probing Questions 
Transformations  Teacher Notes
Solvemymaths has produced pages like this for lots of topics
NRICH Tasks
NRICH: Let’s
Reflect
NRICH: Mirror,
Mirror… 
NRICH: Reflecting
Squarely NRICH: ...on the Wall NRICH: Orbiting Billiard Balls NRICH: Transformation Game NRICH: Transformation of Lines NRICH: Hex NRICH: Semiregular tessellations NRICH: Who is the Fairest of All? NRICH: Zig Zag 
NRICH: Square
It NRICH: Spotting the Loophole NRICH: Square Coordinates NRICH: Squirty NRICH: Parabolic Patterns NRICH: More Parabolic Patterns NRICH: Families of Graphs 
Extras
RoboCompass 
Build a Pattern Snowflake Maker Similarity Proof by Transformations Interactive Website Range of Online Questions Match Move Quad Graph Activity Match Trig Graphs Activity 
Symmetry  NRICH Task Charlie created a symmetrical pattern by shading in four squares on a 3 by 3 square grid: Alison created a symmetrical pattern by shading in two triangles on a 3 by 3 isometric grid:
Choose whether you would like to work on square grids or isometric grids.
Tessellations This superb blog by Jo Morgan @mathsjem is her planning and thought process on teaching Tesellations  Click here 
Paper Cut Method  Click here This tessellation lesson is easy and foolproof
Alternative Method
Using a Square, Rectangle or Hexagon you can use the Cut and Add method


More Complex Tessellations 
Click here

Toblerone Tessellations Break off the corners and you get a hexagon. Break off one corner and you get a trapezium. Two triangles together makes a parallelogram … or it a rhombus?  Click here


Rotational Symmetry Interactive: Rotational Symmetry Designs Students complete the designs so that they have rotational symmetry of order 4. When they think they have finished, they can watch their design rotate to see if they are correct
Worksheet: Rotational Symmetry Designs A paper based version of the interactivity above, where students must complete the designs to give them rotational symmetry of order 4.
Link: Interactive Rotational Symmetry Tool An interactive tool that demonstrates the order of rotational symmetry of different shapes. From www.flashymaths.co.uk

Brilliant short video showing the development of a complex
shape with line and rotational symmetry 
Click
here Transformations With Pacman [@robertkaplinsky]
For detailed Explanation  Click here 

Enlargements Using Vectors

Enlargements Learners are asked to enlarge a given triangle with a scale factor of enlargement of 3 about a centre of enlargement of their choice. Having done this a few times, they may discover that sometimes the enlarged triangle goes off the edge of the paper. So a natural question for learners to ask, or one that can be posed to them, is ‘Where can the centre of enlargement be so that the image lies completely on the grid?’ Learners may conjecture that the locus of centres of enlargement such that the image just lies on the grid will be a triangle mathematically similar to the given one, or perhaps a circle, oval or (rounded) rectangle. Much practice of drawing enlargements ensues as learners seek to establish the permissible area in which the centre of enlargement may lie. At the same time, their attention is being drawn to the edges of the paper, and perhaps to working backwards from where they want the image to lie in order to construct a possible position for the centre of enlargement. Such analysis may help them to appreciate more deeply the details of how the enlargement method works. There is scope for confident learners to extend the problem by trying a different starting shape, or placing it in a different position on the grid, and exploring the effect that this has on the boundary of possible positions for the centre of enlargement.


3D Enlargements

Interactive Environment: Transformations Can you use this tool to make a symmetrical design? Can you find three different transformations that end up with the same image? What are your questions? Created by James Pearce.
Symmetry and Tessellation Stained glass tessellations  Teachit Maths Rotational designs (& interactive activity)  MathsPad Rotational symmetry demonstration  Flash Maths Making symmetrical shapes  Teachit Maths Add one square  Median Don Steward


Transformation Game  http://www.flashymaths.co.uk/swf/transformations.swf
Transformation Golf  DESMOS  Click here

Mix of Transformations
State a pair of flags which have been translated, rotated
...


Transformers Draw the body parts and then Transform them to create a new shape.
Pupil's can create their own problems by: Starting with a shape, split it into say 8 parts and transform each part so the shape is broken up. Then present either a drawing, or coordinates of the broken parts and the reverse transformation for others to complete


Vectors Dancing vectors lesson  teachingmathematics.net Vectors problem  The Chalk Face Vectors worksheet  m4ths.com Drawing Vectors 1 and Drawing Vectors 2  teachingmaths.net Vectors enrichment task  m4ths.com Vectors assessment and exam questions  teachingmaths.net AMazing Vectors competition  jensilvermath.com

Proving the Midpoints of any Quadrilateral makes a Parallelogram:
A Simple Proof of an interesting fact – Click here Leap Frog Puzzle: Click here 
