9. Using NRICH to Challenge and Engage

10. Power Mad For which values of n is 1n+2n+3n even?
For which values of n is 1n+2n+3n even?  
Work out 1n+2n+3n+4n for some different values of n. What do you notice?
Is a multiple of 5? 

11. When might you use this? Why might you use it?

12. Talented mathematicians…
ask good questions
link apparently disparate ideas
notice patterns or structures
make conjectures
find new ways to apply familiar techniques
find common themes
find new ways to visualise abstractions
find illustrative examples or analogies
are not afraid to take risks.

13. Take a look at the image.
What mathematical questions occur to you?

14. Your Questions

15. About the task Getting Round the City
Part of ‘Dotty Grids’, a new collection designed to promote creativity
See teacher article Dotty Grids in the Classroom for ideas on how to use this and other related resources

16. Freedom and Constraints
Combining Lengths
Cinema Problem
1 Step 2 Step
You can’t make an omelette

17. Mean = Median = Mode = Range 2, 5, 5, 6, 7
M, M and M
Mean = Median = Mode = Range 2, 5, 5, 6, 7

18. Can you find sets of five positive whole numbers that satisfy the following properties:
Mode < Median < Mean Mode < Mean < Median Mean < Mode < Median Mean < Median < Mode Median < Mode < Mean Median < Mean < Mode

19. What next…
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