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How many odd numbers are there between 3 and 11?
How many odd numbers are there between 4 and 11?
What do you notice? Can you explain your observation?
Can you find any other pairs of numbers which have this same number of odds between them?
Can you find a pair of numbers which have four odd numbers between them?
Can you find another pair of numbers which have four odds between them? And another pair?
How would you find a pair of numbers that have five odds between them? Six odds?
How would you explain to someone else how to find a pair of numbers that have a certain number of odds between them?
This problem will help consolidate children's understanding of, and familiarity with, odd and even numbers. It also provides an opportunity for learners to explain and generalise.
Depending on your pupils' past experience, you may want to begin with some models of some numbers made from multilink cubes. You could put the cubes together so that they are paired, for example this would be the model for 9:
It would be good to have multilink and number lines available along with plenty of blank paper and pencils and small whiteboards. Of course some children may want to use particular equipment which you hadn't thought of, so do allow them to choose whatever suits them best.
Find a great variety of ways of asking questions which make 8.
Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?
Noah saw 12 legs walk by into the Ark. How many creatures did he see?