Download Do Now 3/22/07

Do Now 2/24/10
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Take out HW from last night.
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Text p. 565, #4-48 multiples of 4 & # 50
Copy HW in your planner.
Text p. 572, #4-16 multiples of 4, #24,28,32, 38
 Quiz sections 9.1 – 9.3 Monday
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Homework
Text p. 565, #4-48 multiples of 4, & #50
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4) -4y4 – 8y² - 4y
8) -20b8 + 10b6 - 5b4 + 55b³
12) 5s² + 42s + 16
16) 2x³ + 11x² - 25x – 28
20) b³ - 3b² + 3b – 2
24) 4y³ + 29y² - 48y + 18
28) 21a² - 34a + 8
32) 40z² + 47z + 12
36) 4w 6 - 14w4 + 3w³ + 2w²
40) (1/2)x² + (11/2)x + 15
44) C
48) 4x³y – 20x²y² + 4xy³
50) a) 2x² + 100x + 800
b) 1350 ft²
Objective
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SWBAT use special product patterns to multiply
polynomials
“Multiply Using FOIL”
When multiplying a binomial and another
polynomial use the FOIL method.
First
Outer
Inner
Last
“Multiply Using FOIL”
(x – 4) (3x + 2)
3x  2x  12 x  8
2
combine like terms
3x  10 x  8
2
Section 9.3 “Find Special Products of Polynomials”
When squaring binomials, you can use the
following patterns to help you.
Binomial Square Pattern (addition)
(a + b)²
a² + 2ab + b²
(a + b)(a + b)
(x + 5)²
(x + 5)(x + 5)
x² + 10x + 25
Section 9.3 “Find Special Products of Polynomials”
When squaring binomials, you can use the
following patterns below to help you.
Binomial Square Pattern (subtraction)
(a – b)²
a² – 2ab + b²
(a – b)(a – b)
(2x – 4)²
(2x – 4)(2x – 4)
4x² – 16x + 16
“Using the Binomial Square Patterns
and FOIL”
(a + 4)²
square pattern
a  8a  16
2
(a + 4)(a + 4)
a  4a  4a  16
2
combine like terms
a  8a  16
2
“Using the Binomial Square Patterns
and FOIL”
(5x – 2y)²
square pattern
25 x  20 xy  4 y
2
(5x – 2y)(5x – 2y)
25x  10 xy  10 xy  4 y
2
2
combine like terms
25 x  20 xy  4 y
2
2
2
Sum and Difference Pattern
(a + b)(a – b)
a² – b²
(a + b)(a – b)
a  ab  ab  b
2
combine like terms
a b
2
2
2
“The difference
of two squares”
Sum and Difference Pattern
(x + 3)(x – 3)
x² – 9
x  3x  3x  9
2
combine like terms
x 9
2
“The difference
of two squares”
Word Problem
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You are designing a frame to surround a rectangular
picture. The width of the frame around the picture is
the same on every side. The dimensions of the
picture are shown below 22in. by 20in. Write a
polynomial that represents the total area of the picture
and the frame.
x
(2x +20)(2x + 22)
22 in.
x
20in
FOIL
x
4x² + 40x + 44x + 440
4x² + 84x + 440
x
NJASK7 Prep
“Box-and-Whisker Plots”
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Box-and-whisker plots
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Uses the MEDIAN of a set of data.
The “FIVE” points of a box-and-whisker plot
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(1) Find the SMALLEST number.
(2) Find the GREATEST number.
(3) Find the MEDIAN of the whole set – SECOND
QUARTILE
(4) Find the MEDIAN of the numbers below the SECOND
QUARTILE - FIRST QUARTILE
(5) Find the MEDIAN of the numbers above the SECOND
QUARTILE – THIRD QUARTILE
Draw a box-and-whisker plot for the following
set of data.
27, 6, 8, 13, 10, 14, 16, 18, 25, 20, 20, 3
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27
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Find the “FIVE” points of a box-and-whisker plot
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(1) Find the SMALLEST number.
3
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(2) Find the GREATEST number.
27
Draw a box-and-whisker plot for the following
set of data.
 (3)
SECOND QUARTILE-
Find the MEDIAN of the whole set –
Smallest
Greatest
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27
15
(14 + 16) ÷ 2= 15
Draw a box-and-whisker plot for the following
set of data.
 (4)
FIRST QUARTILE –
Find the MEDIAN of the numbers below (smaller than)
the SECOND QUARTILE
Smallest
Greatest
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27
9
First quartile
(8 + 10) ÷ 2= 9
15
Second quartile
Draw a box-and-whisker plot for the following
set of data.
 (5)
THIRD QUARTILE
Find the MEDIAN of the numbers above (more than)
the SECOND QUARTILE –
mallest
Greatest
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27
9
First quartile
15
20
Second quartile
Third quartile
(20 + 20) ÷ 2= 20
Draw a box-and-whisker plot for the following
set of data.
 Plot the FIVE points on a number line.
Smallest
Greatest
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27
9
First quartile
3
 Draw
9
20
15
Third quartile
Second quartile
15
20
the box-and-whisker plot.
27
Homework
Text p. 572, #4-16 multiples of 4, #24,28,32, 38
 Study for quiz Friday sections 9.1 – 9.3
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Adding and Subtracting Polynomials
 Multiplying Polynomials
 Find Special Products of Polynomials
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