Last lesson we looked at this matchstick puzzle

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Last lesson we looked at this matchstick puzzle How many matchsticks would be needed

Last lesson we looked at this matchstick puzzle How many matchsticks would be needed for 1 triangle? 2 triangles? 3 triangles? 4 triangles?

Last lesson we looked at this matchstick puzzle What do you notice with the

Last lesson we looked at this matchstick puzzle What do you notice with the numbers? Why does it increase by 2 each time?

Last lesson we looked at this matchstick puzzle What do you notice with the

Last lesson we looked at this matchstick puzzle What do you notice with the numbers? Why does it increase by 2 each time?

It is easier to spot patterns if a table is used. Look back in

It is easier to spot patterns if a table is used. Look back in your book to find how many matches were used for n triangles. How did you work it out?

It is easier to spot patterns if a table is used. 1 + 2

It is easier to spot patterns if a table is used. 1 + 2 n 2 n + 1 3 + 2(n – 1) Were all possible answers

To find how many matches in the 139 th diagram: Substitute 139 for the

To find how many matches in the 139 th diagram: Substitute 139 for the n 1 + 2 n 2 n + 1 3 + 2(n – 1)

To find how many matches in the 139 th diagram: Substitute 139 for the

To find how many matches in the 139 th diagram: Substitute 139 for the n 1 + 2 x 139 + 1 3 + 2(139 – 1)

The answer to all of these is the same: 279 Substitute 139 for the

The answer to all of these is the same: 279 Substitute 139 for the n 1 + 2 x 139 + 1 3 + 2(139 – 1)

On your whiteboards: How many matches are needed for the 15 th pattern? 1

On your whiteboards: How many matches are needed for the 15 th pattern? 1 + 2 n 2 n + 1 3 + 2(n – 1)

On your whiteboards: How many matches are needed for the 25 th pattern? 1

On your whiteboards: How many matches are needed for the 25 th pattern? 1 + 2 n 2 n + 1 3 + 2(n – 1)

On your whiteboards: 301 matches were used – which pattern number is this? 1

On your whiteboards: 301 matches were used – which pattern number is this? 1 + 2 n 2 n + 1 3 + 2(n – 1)

On your whiteboards: I have 502 matches which pattern number is this? 1 +

On your whiteboards: I have 502 matches which pattern number is this? 1 + 2 n 2 n + 1 3 + 2(n – 1)

In your pairs:

In your pairs:

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