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A Resource to Support Work on Transformations
Stage: 4
Challenge Level:
This page contains interactive games and ideas for developing confidence with transformations. There are a number of non-iteractive resources involving transforamtions on the site such as
Mirror, Mirror...
and the related activities described in that problem's accompanying text.
Notes on a triangle
This short film
offers opportunities to discuss transforimations and their effects. Why not select a section of the film to analyse and recreate.
Transformation game
This card-based game
offers opportunities to develop confidence in the results of different transformations.
Interactive games and problems which utilise familiatiry with transformations
Penta Play
These games
based on the twelve pentominoes were invented by Solomon W. Golombwho came up with the idea of polyominoes.
Square tangram
Practice at transforming shapes and making connections between the ratio of sides of similar shapes (squares) and areas is a useful short cut to solving the later stages of
this problem
.
Some transformation problems
Bow Tie
Show how
this pentagonal tile
can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.
Tablecloth
This problem
links symmetry and transformations with a generalisation related to the pattern of numbers of colours. An interesting mathematical connection.
Matter of Scale
This problem
examines a proof of Pythagoras Theorem using enlargements and scale factors.