Wednesday, 5 August 2015

Thursday 6 Aug - Equality, difference, balance, consecutive numbers

Pre task - talk about equality and difference.  How do you know that one thing or group is the same as the other.  How do you know they are different?

This session is concerned with the idea of equality and difference.  I would like to introduce a number of puzzles that use the concepts and allow students to understand the goal of the puzzle and evaluate progress.

Starting game/activity - HI Lo - cuisenaire rods (containers/bags?) - playing cards - 1 - 20 and 21 - 50
This will need setting up beforehand on different tables perhaps.

Additive number relationships - Introduce three numbers that have a relationship that means that it can produce 4 maths sentences e.g. 3 + 4 = 7, 4 + 3 = 7, 7 - 3 = 4, 7 - 4 = 3
I'm still not sure how to package this.  Will sleep on it.
I would like to look at different ways that this can be shown using a number line.
Maybe elicit a chant based on seeing the 3 numbers


Puzzle (sum and difference) A range of laminated paper towers that represent either a sum or a difference.
make a tower to compare to the sum.  How can you estimate this?
split them up to make a difference that's the same as the difference tower.

Introduce team challenge - consecutive sums

Puzzles
Arithmagons
number pyramids
Diffy

Ending game - Nimwith choice of number take amount and start?

Resources
Number lines -  2cm
multilink
cuisenaire rods
Sheet to complete consecutive sums

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