HRSB, 2008 Algebra Tiles 1 x -x x2x2 -x 2. HRSB, 2008 Algebra Tiles y-y xy -y 2 y2y2 -xy.

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Presentation transcript:

HRSB, 2008 Algebra Tiles 1 x -x x2x2 -x 2

HRSB, 2008 Algebra Tiles y-y xy -y 2 y2y2 -xy

HRSB, 2008 Question 1

HRSB, 2008 Display first polynomial

HRSB, 2008 Display first polynomial Add to your display the second polynomial

HRSB, 2008 Simplify by combining like terms

HRSB, 2008 Remove “zeros”

HRSB, 2008 What remains is the answer!

HRSB, 2008 Question 2

HRSB, 2008 Display first polynomial expression

HRSB, 2008 Remove second polynomial expression

HRSB, 2008 What is left?

HRSB, 2008 Question 3

HRSB, 2008 Display first polynomial expression

HRSB, 2008 Can we remove the second? We cannot remove an if is not in the original display…

HRSB, 2008 We have to insert into the display without changing the value... Add in zero... (made of a positive and a negative )

HRSB, 2008 Now we can remove the second polynomial

HRSB, 2008 What remains is the answer!

HRSB, 2008 Question 4

HRSB, 2008 Display first polynomial Can you remove the second?

HRSB, 2008 We cannot remove -3 Add in -3 and +3 (they make zero and will not change the value)

HRSB, 2008 Now we can remove all of the second polynomial Your answer is what remains

HRSB, 2008 Question 5

HRSB, 2008 Display the first expression Can you remove the second expression?

HRSB, 2008 Yes! Go ahead and remove the second expression The answer is what remains!

HRSB, 2008 Question 6

HRSB, 2008 Display the first expression Can we remove the second expression? Not the way it is!

HRSB, 2008 We need to add in every term from the second expression. Remember to pair these terms with their opposite so the value of the expression does not change. Double Check that you have not changed the value of the original expression...

HRSB, 2008 Now remove the second expression Your answer is what remains

HRSB, 2008 Question 7

HRSB, 2008 Display the first expression Can we remove the second? Not the way it is!

HRSB, 2008 Add in the tiles needed. Make sure the value of the expression has not changed

HRSB, 2008 Remove the second expression. What remains is the answer.

HRSB, 2008 Question 8

HRSB, 2008 Display the first expression Add to your display the terms of the second expression Combine like terms

HRSB, 2008 Remove “zeros” What remains is the answer

HRSB, 2008 Question 9

HRSB, 2008 Display first expression Add the second expression to your display

HRSB, 2008 Combine like terms Remove any zeros What remains is the answer

HRSB, 2008 Question 10

HRSB, 2008 Display first expression See if all of the terms from the second expression can be removed Not the way it is!

HRSB, 2008 Insert zeros as needed

HRSB, 2008 Remove second expression What remains is the answer!

HRSB, 2008 How can we simplify the following expression?

HRSB, 2008

Can you arrange the tile display to create a rectangle? What are the dimensions of the rectangle or area model you created?

HRSB, 2008 What are the dimensions of the rectangle you created? The dimensions are: 3

HRSB, 2008 Example 2

HRSB, 2008 Remember repeated addition means displaying the polynomial as many times as indicated by the scalar

HRSB, 2008

Can you arrange the tile display to form a rectangle? Notice that the dimensions are the factors of the original question

HRSB, 2008 Example 3 Use repeated addition to simplify the following expression

HRSB, 2008

Rearrange to combine like terms

HRSB, 2008 State your answer

HRSB, 2008 Can you rearrange your tile display to make a rectangle? 3

HRSB, 2008 Example 4 Make an area model to answer the next question

HRSB, 2008 Example 4 Use the two factors to create the length and width of a rectangle.

HRSB, Then fill it in to make a complete rectangle

HRSB, What is the area?

HRSB, 2008 What do you see?

HRSB, 2008 Number 1 What are the dimensions of the rectangle? What is the area? What can you say about the partial products?

HRSB, 2008 Number 2

HRSB, 2008 Number 3

HRSB, 2008 Number 4

HRSB, 2008 Number 5

HRSB, 2008 Number 6