Key outcomes - link multiplication to area and length and width
Extension - link to volume and higher dimension ideas - Prime factor links
One issue is that not many explorers have done the session on equality and difference. This can be done before that I guess but it might be worth re planning that session and doing it instead, especially for the first group. Alternatively it could be done later.
Pre session activity - grids. Look out for the use of grids. How many cells in them? Any grids that have too many to count. How many rows and how many columns?
Intro game = multiplication grid challenge with hold'em style dice (four dice of which you choose yours and one other.) think about the explanation for this game.
Working with timestables
Possible activities (will need to assess the mood for this) timestable chant
Napier Bones
Digital root patterns
Unit patterns
Colour coded hundred square - poster with 2, 3, 5, 11 possibly - can be finished off at home. It could be important for the concept of prime numbers
The goal here is to get a few activities that allow explorers to concentrate on the idea of multiplication as a sequence or as repeated addition. This won't be done explicitly but just as a way to access multiplication answers.
Multiplications as rectangles
Investigation.
What type of shapes can be created by different numbers.
1 d numbers - primes
2 d numbers - can only make rectangles
3 d numbers - can make cuboids
higher dimensions can create multiples of the same cuboid
Self access puzzles (possibly in a take home format?)
Cows puzzle - http://www.puzzlephil.com/puzzles/kuhweide/en/
Shikaku puzzles
Make use of primitives representation of prime factors
This is a great example of using them in a project like we would like to do
I'll need to think more about how to get the concept of primes and prime factors linked into this. Factors also will need some thought.
We can end with grid games (2048 would be good)
Nim and see how understanding of tables might help you win. Use the choose one of three rules and win challenge.
Maybe Doubling should come in as a concept somewhere.
Extension - link to volume and higher dimension ideas - Prime factor links
One issue is that not many explorers have done the session on equality and difference. This can be done before that I guess but it might be worth re planning that session and doing it instead, especially for the first group. Alternatively it could be done later.
Pre session activity - grids. Look out for the use of grids. How many cells in them? Any grids that have too many to count. How many rows and how many columns?
Intro game = multiplication grid challenge with hold'em style dice (four dice of which you choose yours and one other.) think about the explanation for this game.
Working with timestables
Possible activities (will need to assess the mood for this) timestable chant
Napier Bones
Digital root patterns
Unit patterns
Colour coded hundred square - poster with 2, 3, 5, 11 possibly - can be finished off at home. It could be important for the concept of prime numbers
The goal here is to get a few activities that allow explorers to concentrate on the idea of multiplication as a sequence or as repeated addition. This won't be done explicitly but just as a way to access multiplication answers.
Multiplications as rectangles
Investigation.
What type of shapes can be created by different numbers.
1 d numbers - primes
2 d numbers - can only make rectangles
3 d numbers - can make cuboids
higher dimensions can create multiples of the same cuboid
Self access puzzles (possibly in a take home format?)
Make use of primitives representation of prime factorsThis is a great example of using them in a project like we would like to do
I'll need to think more about how to get the concept of primes and prime factors linked into this. Factors also will need some thought.
We can end with grid games (2048 would be good)
Nim and see how understanding of tables might help you win. Use the choose one of three rules and win challenge.
Maybe Doubling should come in as a concept somewhere.
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