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Conjecturing and generalising - Short Problems
A collection of short Stage 3 and 4 problems on Conjecturing and Generalising
Conjecturing and generalising
problem
What numbers can we make now?
Age
11 to 14
Challenge level
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
problem
More Less is More
Age
7 to 14
Challenge level
In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.
problem
Counting Stick Conjectures
Age
5 to 11
Challenge level
How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?
problem
Diagonally Square
Age
7 to 11
Challenge level
Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?
article
Why dialogue matters in primary proof
In this article for Primary teachers, Ems explores three essential features of proof, all of which can be developed in the context of primary mathematics through talk.
problem
What does it all add up to?
Age
11 to 18
Challenge level
If you take four consecutive numbers and add them together, the answer will always be even. What else do you notice?
problem
Three neighbours
Age
7 to 14
Challenge level
Take three consecutive numbers and add them together. What do you notice?
problem
Guess What?
Age
7 to 11
Challenge level
Can you find out which 3D shape your partner has chosen before they work out your shape?
problem
Charitable Pennies
Age
7 to 14
Challenge level
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.