Posted in Christmas, Logical reasoning, Numicon, Problem solving, Strategic competence

Cover Rudolph’s head

This is the latest addition to the popular Cover with Numicon® series.

You can explore the other activities here: Santa’s Sleigh, Christmas Tree, Baubles and Presents.

For this activity you will need a Rudolph (download and print) and Numicon® shapes.

How many shapes do you think Calculating Cat needs to finish covering Rudolph’s head? Is there more than one way she can do it?

Get some Numicon® shapes and see if you can cover Rudolph’s head.

Can you explain how you did it? Which shapes did you choose first and why? What did you notice? Are some shapes more useful than others?

How many different ways can you find to cover Rudolph’s head? Compare your Rudolph with your friend’s. What’s the same and what’s different about the two Rudolphs?

How many shapes have you used? Who has used most shapes? Who has used fewest?

What is the total of all the shapes you have used?

Can you cover Rudolph using only odd shapes? Why or why not? What about even shapes?

Can you use one shape repeatedly to cover Rudolph? Which shapes will work? Which won’t? Why?

Look for learners who:

Show strategic competence by understanding and tackling the task; by trying different ways of doing it and seeing which ways work.

Use logical reasoning to try different shapes and explain their thinking; are becoming systematic in their choices of shapes; can reason about which shapes will/will not fit; substitute shapes so that they have more or fewer, rather than starting from scratch each time; talk about similarities and differences.

Communicate mathematically about what they are doing; can describe the shapes and say which are bigger/smaller, too big/too small.

Can confidently and fluently choose shapes to fit the spaces on the board; can recognise the spatial patterns and find the shapes that fit.

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