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 […]
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 […]
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.
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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 […]
Find values of x and y for which these five expressions all have the same value.
Do you have exactly the right amount of information or more information than you need?
Click here to download the MATCHLESS worksheet.
Click here to download the MATCHLESS worksheet.
Click here to download the AIMSSEC […]
What do you see in this image?
What is the area of the bigger square edged by dotted line segments of length a?
What is left of that area if you take away a square with edges of length b?
What is the area of the rectangle formed by the yellow […]
1. What do you see in this picture?
Give a proof linked to this picture of the formula $a^2 – b^2 = (a + b)(a – b)$ .
2. What do you notice about the difference between squares of consecutive numbers?
Compare the differences between squares of numbers that differ by 1 […]
Is a picture worth a thousand words, as the saying goes?
This picture shows the first 4 triangle numbers: 1, 3, 6 and 10 and how you can fit 2 identical copies of a triangle together to form a rectangle.
Can you use it to find the number of dots in the […]
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