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Getting the balance right
In this article for primary teachers, Ems shares some common misconceptions surrounding the equals sign, and suggests ways to help learners develop their understanding.
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Favourite
Angle trisection
14 to 16
It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.
problem
Tweedle Dum and Tweedle Dee
11 to 14
Two brothers were left some money, amounting to an exact number of pounds, to divide between them. DEE undertook the division. "But your heap is larger than mine!" cried DUM...
problem
Favourite
Missing middles
5 to 7
Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?
problem
Bipin's choice
7 to 11
Bipin is in a game show and he has picked a red ball out of 10
balls. He wins a large sum of money, but can you use the
information to decided what he should do next?
problem
Tilting triangles
14 to 16
A right-angled isosceles triangle is rotated about the centre point
of a square. What can you say about the area of the part of the
square covered by the triangle as it rotates?
problem
Favourite
The moons of Vuvv
7 to 11
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
problem
Favourite
Limiting probabilities
16 to 18
Given probabilities of taking paths in a graph from each node, use
matrix multiplication to find the probability of going from one
vertex to another in 2 stages, or 3, or 4 or even 100.
problem
Marvellous matrix
7 to 11
Follow the directions for circling numbers in the matrix. Add all
the circled numbers together. Note your answer. Try again with a
different starting number. What do you notice?
problem
Zin obelisk
11 to 14
In the ancient city of Atlantis a solid rectangular object called a Zin was built in honour of the goddess Tina. Your task is to determine on which day of the week the obelisk was completed.