This document provides information about factoring the difference of two cubes. It begins by reminding the reader how to identify perfect cube numbers. It then shows how to factor an expression of the form (x3 - y3) by writing it as the difference of two cubes (x - y)(x2 + xy + y2). An example problem is worked through step-by-step to demonstrate this process. The document also contains information about rounding numbers to certain place values. It ends with some slides about cats, facts about different animals, and a timeline template.

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FACTORING SUM AND
DIFFERENCE OF TWO CUBES

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REMEMBER
Identify whether the given numbers are perfect
cube numbers or not.
36 Perfect Square Number 6 x 6
64 Perfect Cube Number 4 x 4 x 4
81 Perfect Square Number 9 x 9
125
Perfect Cube Number
Perfect Cube Number 5 x 5 x 5

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How did you get the cube root of a
variable raised in certain power?

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How can we know if an expression
raised in certain power is a perfect
cube?

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𝒙𝟑
− 𝒚𝟑
=
― Irene M. Pepperberg
DIFFERENCE OF TWO CUBES
𝒙 − 𝒚 𝒙𝟐
+ 𝒙𝒚 + 𝒚𝟐
F
FACTORED FORM
x = first term
L
y = last term
F L 𝑭𝟐
F∙L 𝑳𝟐
𝒙 − 𝒚 𝒙𝟐 + 𝒙𝒚 + 𝒚𝟐

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Given :
― Irene M. Pepperberg
Factoring Difference of Two Cubes
𝟖𝒙𝟑
− 𝟔𝟒𝒚𝟑
Rewrite as the Difference
of Two Cubes :
( )𝟑
−( )𝟑
2x 4y
x y
Supply the missing terms: (𝒙 − 𝒚)( 𝒙𝟐
+ 𝒙𝒚 + 𝒚𝟐
)
( − )( (𝟐𝒙)𝟐
+𝟐𝒙 ∙ 𝟒𝒚 + (𝟒𝒚)𝟐
)
2x 4y
Factored Form (𝟐𝒙 − 𝟒𝒚)(𝟒𝒙𝟐
+ 𝟖𝒙𝒚 + 𝟏𝟔𝒚𝟐
)

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Round off 4,675,312 to
the nearest hundred
thousand.
Round off 9,824,567 to
the nearest million.
Round off 102,098,123 to
the nearest hundred
thousand.

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Answer TAKE A LOOK BACK
in your book on pages 7-8 (A
and B)

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REMEMBER
If the digit is less than 5, then the digit
in the rounding place remains
unchanged. You say that the number
is rounded down.
To round a number to a given
place value, you look at the digit to
the right side of the digit to be
rounded off.
If the digit is 5 or more, then the digit
in the rounding place increased by 1.
You say that the number is rounded
up.
12,345,600
12,300,000
12,365,600
12,400,000

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Did you know?
It is estimated that more than 50 million kangaroos live there.
They are Australia’s national symbol and appear on postage
stamps, coins, and airplanes.
Koalas don’t have much energy and, when not feasting on
leaves, they spend their time dozing in the branches. Believe it
or not, they can sleep for up to 18 hours a day!
When winter approaches, they head lower down their mountain
homes to warmer temperatures, where they continue to chomp
away on bamboo!

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Very interesting!
This is where you section ends. Duplicate this set of slides as many
times you need to go over all your sections.

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Sometimes it
only takes
one image...

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And the bigger the
better

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Some facts about my cats.
Traveled by
plane. Twice!
Of my cats are
adorable.
100
% 25% 75%
Are females.

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Let’s review some facts.
Elephants
Koalas are even more lazy than
cats.
Dogs
Elephants can sense storms.
Cats
Dogs can smell your feelings.
Pandas
Kangaroos Koalas
Pandas don’t hibernate.
There are more kangaroos than
humans in Australia.
Cats use their whiskers as
feelers.

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This is our team!
Erika V. John S. Marie M.
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