Complex Instruction and Group-worthy tasks - May 2010, Stage 2&3

This month our tasks have been designed with group work in mind - there is real benefit to working collaboratively on the activities, so we have suggested in the Teachers' Notes and articles how this can be done in the classroom.

Problems

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Sorting the Numbers

Stage: 1 and 2 Challenge Level: Challenge Level:1

Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?

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It's a Fence!

Stage: 1 and 2 Challenge Level: Challenge Level:1

In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.

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Planning a School Trip

Stage: 2 Challenge Level: Challenge Level:1

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

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Two Clocks

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

These clocks have only one hand, but can you work out what time they are showing from the information?

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Counting Cogs

Stage: 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

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Painted Cube

Stage: 3 Challenge Level: Challenge Level:1

Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?

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Growing Rectangles

Stage: 3 Challenge Level: Challenge Level:1

What happens to the area and volume of 2D and 3D shapes when you enlarge them?

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Seven Squares - Group-worthy Task

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?