Use 11 sticks of equal length to make this triangle with edge lengths 2, 4 and 5. You might like to record this as (2, 4, 5). How many other triangles can you make with 11 sticks?
You could use paper sticks, toothpicks, or a piece of string with […]
Look at the picture where 7 copies of the bull’s head fit together without any spaces between them. Imagine this pattern extending to infinity. This is called a tessellation or wallpaper pattern. There are only 17 ways that shapes can be repeated to fill the plane.
Graph 1 is the graph y=sinx. Can you identify the coordinates of the points where it crosses the axes and where it reaches its maximum and its minimum values?
How could I make graph 2 from graph 1? Can you work out the equation of graph 2?
Graph 3 has equation y=sin2x. […]
The picture shows some shadows cast by solid (3 dimensional) objects as well as some flat (2 dimensional) shapes.
Describe 3D objects that could have made these shadows. There is more than one answer for each shadow.
Can you draw different shadows that could be made by the same objects?
What sort of shadows […]
Investigate what happens if you reflect the blue flag in Mirror 1, then reflect that image in Mirror 2.
Do you get the same results for the red flag if you reflect it first in Mirror 2 then reflect that image in Mirror 1?
You might like to copy the […]
Can you solve this 5 by 5 magic square?
Look carefully at the numbers in the 4 by 4 square.
What do you notice?
Add up the rows. Add up the columns. Add up the diagonals.
The square is magic.
Look carefully at the patterns when you find numbers adding up to 17.
[…]
Make a record of all the rectangles that you can find in this shape.
Which rectangles are exactly the same (congruent)?
Which rectangles are similar?
Is a Square a Rectangle – Template
Click here to download the IS A SQUARE A RECTANGLE? worksheet.
Click here to download the NOTES FOR TEACHERS.
[…]
(1) Plot the graphs of the straight lines y = x, y = 1.1x – 0.2
and y = 0.9x – 0.1
What do the graphs tell you about the solutions to the two pairs of simultaneous equations (1a) y = x y = 1.1x – 0.2 and (1b) y = x […]
What is the rule (or function) that gives the outputs corresponding to the inputs shown in the diagram mapping 1 to 8 and 3 to 24 etc?
The Function Game is played in silence. Learners have to guess the function in the teacher’s mind. The teacher tells the learners that she wants […]
Download the pieces of the puzzle here and cut out the 16 small triangles.
Arrange the 16 pieces into a larger triangle so that the numbers on matching edges are the same, for example .
Click here to download the POWER MATCHING worksheet.
Click here for Notes for […]
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