How much longer are the edges (the linear scale factor of the enlargement)?
How much bigger is the area (the area scale factor of the enlargement)?
Now look at the illustration of the 3-dimensional solids. One is […]
.GROUP ACTIVITY – groups of 4
Cut out 16 cards and mix them up.
Give each member of the group 4 cards. They must exchange cards one-to-one aiming for each member to […]
You might like to cut out the pieces from the Muggles Magic Learner Worksheet and try this for yourself.
Explain what has happened to the missing […]
Each picture shows 3 similar triangles.
They are called similar because they are the same shape, they have the same angles and the lengths of the edges are in the same ratio. For example in this diagram the edges in each triangle are all in the ratio 2 : 3 : 4 […]
Squares 1, 2 and 3 all have edges of length 1 unit. Some edges are divided into lengths of ½ and ¼.
The squares are split up into smaller shapes.
What can you say about those shapes and their properties?
Which shapes are similar?
The squares have area 1 square unit. What are the […]
Which rectangles are exactly the same (congruent)?
Which rectangles are similar?
This problem is adapted from the NRICH task with the […]
(a) into two pieces which, when put together, make a parallelogram;
(b) into three pieces which, when put together, make a rhombus;
(c) into four pieces which, when put together, make two equilateral triangles.
(d) What angles can you find in each of your shapes?
(e) If […]
Look at this square divided into four pieces : two identical triangles and two identical trapezia.
The edge of length 3 from each triangle matches with the edge of length 3 from a trapezium so that the four pieces from the square now occupy a rectangular space.
The square had side length […]