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ALGEBRA TILES - PowerPoint PPT Presentation

ALGEBRA TILES. Variables such as ‘x’ and ‘y’ are used to represent an unknown number Algebra tiles are the generally accepted manipulative to help students understand the concepts of variables and “POLYNOMIALS” POLYNOMIALS: a series of terms with a number of different variables in it.

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ALGEBRA TILES

Variables such as ‘x’ and ‘y’ are used to represent an unknown number

Algebra tiles are the generally accepted manipulative to help students understand the concepts of variables and “POLYNOMIALS”

POLYNOMIALS: a series of terms with a number of different variables in it.

i.e., x2 + 2x + 3 or 3x – 2xy + 4y

Let the blue square represent X2

x

y

x and the yellow square = y2y

Therefore,

y

X2

y2

X

xy

y2

What are the polynomials?

Copy and solve….

2x2 + 3xy + y2

2x2 + 3xy + y2

X2

X2

xy

xy

xy

y2

These are the negatives of the terms. i.e.,

-xy

- x2

-xy

-xy

-y2

-y2

-2x2 + x2 + xy -2xy

- x2

- x2

X2

-xy

xy

-xy

-2x2 + x2 + xy -2xy

- x2

- x2

X2

-xy

xy

-xy

-1x2 -1xy (or -x2 –xy)

- x2

-xy

X2

x2 + x + 1

x

1

2x2 - 2x + 3

X2

X2

1

1

1

x

x

2x2 + 2x + 3

• (x2 + x + 2)

X2

X2

1

1

1

x

x

2x2 + 2x + 3

• (x2 + x + 2)

X2

X2

1

1

1

x

x

X 1

X

2

X 1

X

2

X2

x

x

1

x

1

• (x – 3) (x + 1)