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Now to write the formulae! Write formulae to show the number of each body part on n aliens. PowerPoint Presentation
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Now to write the formulae! Write formulae to show the number of each body part on n aliens. - PowerPoint PPT Presentation


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Now to write the formulae! Write formulae to show the number of each body part on n aliens. Copy and complete the following. Fingers on n aliens = 6n Toes on n aliens = Legs on n aliens = Ribs on n aliens = Arms on n aliens =. How many squares can you find on a chessboard?.

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slide3

Now to write the formulae!

Write formulae to show the number of each body part on n aliens.

Copy and complete the following...

Fingers on n aliens = 6n

Toes on n aliens =

Legs on n aliens =

Ribs on n aliens =

Arms on n aliens =

slide5

Working systematically....

Can you see any patterns?

PROVE that you are right!

slide6

Walt: Explore different possibilities in order to solve a problem.

Use our knowledge of the properties of number in order to solve problems.

Use a symbol to stand for an unknown number.

slide7

We found there are 204 squares

on a chessboard where the length of

one side is 8 squares (8 x 8).

Imagine a new chessboard has been invented that has a length of 25 squares (25 x 25).

How many squares are there in this new chessboard?!

slide9

Imagine your data is like a function machine.

Where... x = length of one side

n = total number of squares

You know the input (x) and the output (n), but what is happening in the function machine?

Can you spot any patterns in your data to help you solve the problem? Use your knowledge of the properties of numbers to help you.

slide10

n = x(x +1)(2x +1)

6

n = total number of squares

x = length of one side

Can you work out from this the total number of squares in a chessboard measuring 25 x 25 squares?