Do Now 2/24/10 Take out HW from last night. Take out HW from last night. Text p. 565, #4-48...

Do Now 2/24/10Do Now 2/24/10

Take out HW from last night.Take out HW from last night. Text p. 565, #4-48 multiples of 4 & # Text p. 565, #4-48 multiples of 4 & #

5050

Copy HW in your planner.Copy HW in your planner. Text p. 572, #4-16 multiples of 4, Text p. 572, #4-16 multiples of 4,

#24,28,32, 38#24,28,32, 38   Quiz sections 9.1 – 9.3 MondayQuiz sections 9.1 – 9.3 Monday

HomeworkHomework Text p. 565, #4-48 multiples of 4, & Text p. 565, #4-48 multiples of 4, &

#50#50 4) -4y – 8y² - 4y4) -4y – 8y² - 4y 8) -20b + 10b - 5b + 55b³8) -20b + 10b - 5b + 55b³ 12) 5s² + 42s + 1612) 5s² + 42s + 16 16) 2x³ + 11x² - 25x – 28 16) 2x³ + 11x² - 25x – 28 20) b³ - 3b² + 3b – 2 20) b³ - 3b² + 3b – 2 24) 4y³ + 29y² - 48y + 1824) 4y³ + 29y² - 48y + 18 28) 21a² - 34a + 828) 21a² - 34a + 8 32) 40z² + 47z + 12 32) 40z² + 47z + 12 36) 4w - 14w + 3w³ + 2w² 36) 4w - 14w + 3w³ + 2w² 40) (1/2)x² + (11/2)x + 1540) (1/2)x² + (11/2)x + 15 44) C44) C 48) 4x³y – 20x²y² + 4xy³48) 4x³y – 20x²y² + 4xy³

88

44

66 44

66 44

50) a) 2x² + 100x + 80050) a) 2x² + 100x + 800 b) 1350 ft² b) 1350 ft²

ObjectiveObjective

SWBAT use special product patterns SWBAT use special product patterns to multiply polynomialsto multiply polynomials

““Multiply Using FOIL” Multiply Using FOIL” When multiplying a binomial and another When multiplying a binomial and another polynomial use the method. polynomial use the method. FOIL

FirstFirst OuterOuter InnerInner LastLast

(x – 4)(x – 4)(3x + 2(3x + 2))

23x x2 x12 8

8103 2 xx

““Multiply Using FOIL”Multiply Using FOIL”

combine like terms

Section 9.3 “Find Special Products of Section 9.3 “Find Special Products of Polynomials” Polynomials”

When squaring binomials, you can use the When squaring binomials, you can use the following patterns to help you. following patterns to help you.

(a + b)²(a + b)²(a + b)(a + b)(a + b)(a + b)

a² + 2ab + b²a² + 2ab + b²

(x + 5)²(x + 5)²(x + 5)(x + 5)(x + 5)(x + 5)

x² + 10x + 25x² + 10x + 25

Binomial Square Pattern (addition)Binomial Square Pattern (addition)

Section 9.3 “Find Special Products of Section 9.3 “Find Special Products of Polynomials” Polynomials”

When squaring binomials, you can use the When squaring binomials, you can use the following patterns below to help you. following patterns below to help you.

(a – b)²(a – b)²(a – b)(a – b)(a – b)(a – b)

a² – 2ab + b²a² – 2ab + b²

(2x – 4)²(2x – 4)²(2x – 4)(2x – 4)(2x – 4)(2x – 4)

4x² – 16x + 164x² – 16x + 16

Binomial Square Pattern (subtraction)Binomial Square Pattern (subtraction)

(a + 4)(a + 4)(a + 4(a + 4))

2a a4 a4 16

1682 aa

““Using the Binomial Square Using the Binomial Square Patterns and FOIL”Patterns and FOIL”

combine like terms

(a + 4)²(a + 4)²

1682 aa

square pattern

(5x – 2y)(5x – 2y)(5x – 2y)(5x – 2y)

225x xy10 xy10 24y

22 42025 yxyx combine like terms

(5x – 2y)²(5x – 2y)²

22 42025 yxyx

square pattern

““Using the Binomial Square Using the Binomial Square Patterns and FOIL”Patterns and FOIL”

2a ab ab 2b

22 ba combine like terms

Sum and Difference PatternSum and Difference Pattern

(a + b)(a + b)(a – b(a – b))

a² – b²a² – b²

““The difference The difference of two squares”of two squares”

(a + b)(a + b)(a – b(a – b))

2x x3 x3 9

92 x

combine like terms

Sum and Difference PatternSum and Difference Pattern

(x + 3)(x + 3)(x – 3(x – 3)) x² – 9x² – 9

“The difference of two squares”

Word ProblemWord Problem You are designing a frame to surround a You are designing a frame to surround a

rectangular picture. The width of the frame rectangular picture. The width of the frame around the picture is the same on every side. around the picture is the same on every side. The dimensions of the picture are shown The dimensions of the picture are shown below 22in. by 20in. Write a polynomial that below 22in. by 20in. Write a polynomial that represents the total area of the picture and represents the total area of the picture and the frame. the frame.

xx

FOIL

(2x +20)(2x + 22)

4x² + 40x + 44x + 440

4x² + 84x + 440

x

x

x 20in20in

22 in.

NJASK7 PrepNJASK7 Prep

““Box-and-Whisker Plots”Box-and-Whisker Plots”

Box-and-whisker plots- Box-and-whisker plots- Uses the Uses the MEDIANMEDIAN of a set of data. of a set of data.

The “FIVE” points of a box-and-whisker The “FIVE” points of a box-and-whisker plotplot

(1) Find the SMALLEST number.(1) Find the SMALLEST number. (2) Find the GREATEST number. (2) Find the GREATEST number. (3) Find the MEDIAN of the whole set – (3) Find the MEDIAN of the whole set –

SECOND QUARTILESECOND QUARTILE (4) Find the MEDIAN of the numbers below the (4) Find the MEDIAN of the numbers below the

SECOND QUARTILE - SECOND QUARTILE - FIRST QUARTILEFIRST QUARTILE (5) Find the MEDIAN of the numbers above the (5) Find the MEDIAN of the numbers above the

SECOND QUARTILE – SECOND QUARTILE – THIRD QUARTILETHIRD QUARTILE

Draw a box-and-whisker plot for Draw a box-and-whisker plot for the following set of data.the following set of data.

Find the “FIVE” points of a box-and-Find the “FIVE” points of a box-and-whisker plotwhisker plot (1) Find the SMALLEST number.(1) Find the SMALLEST number.

(2) Find the GREATEST number. (2) Find the GREATEST number.

27, 6, 8, 13, 10, 14, 16, 18, 25, 20, 20, 327, 6, 8, 13, 10, 14, 16, 18, 25, 20, 20, 3

3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 273, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27

33

2727

Draw a box-and-whisker plot for Draw a box-and-whisker plot for the following set of data.the following set of data.

(3) (3) SECOND QUARTILE-SECOND QUARTILE- Find the MEDIAN of the whole set – Find the MEDIAN of the whole set –

3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 273, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27

1515

(14 + 16) (14 + 16) ÷ 2÷ 2= = 1515

GreatestGreatestSmallestSmallest

Draw a box-and-whisker plot for Draw a box-and-whisker plot for the following set of data.the following set of data.

(4) (4) FIRST QUARTILEFIRST QUARTILE – – Find the MEDIAN of the Find the MEDIAN of the numbers below (smaller than) the SECOND numbers below (smaller than) the SECOND QUARTILEQUARTILE 3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 273, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27

1515

(8 + 10) (8 + 10) ÷ 2÷ 2= 9= 9

Second quartileSecond quartile99

First quartileFirst quartile

GreatestGreatestSmallestSmallest

Draw a box-and-whisker plot for Draw a box-and-whisker plot for the following set of data.the following set of data.

(5) (5) THIRD QUARTILETHIRD QUARTILE Find the MEDIAN of the numbers above Find the MEDIAN of the numbers above

(more than) the SECOND QUARTILE – (more than) the SECOND QUARTILE –

3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 273, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27

1515

(20 + 20) (20 + 20) ÷ 2÷ 2= = 2020

Second quartileSecond quartile99

First quartileFirst quartile2020

Third quartileThird quartile

GreatestGreatestSmallestSmallest

Draw a box-and-whisker plot for Draw a box-and-whisker plot for the following set of data.the following set of data.

Plot the FIVE points on a number line.Plot the FIVE points on a number line.

3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 273, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27

1515Second quartileSecond quartile

99First quartileFirst quartile

2020Third quartileThird quartile

GreatestGreatestSmallestSmallest

1515 2020 272733 99

Draw the box-and-whisker plot.Draw the box-and-whisker plot. 1515 2020 272733 99

HomeworkHomework

Text p. 572, #4-16 multiples of 4, Text p. 572, #4-16 multiples of 4, #24,28,32, 38#24,28,32, 38

  Study for quiz Friday sections 9.1 – Study for quiz Friday sections 9.1 – 9.39.3 Adding and Subtracting PolynomialsAdding and Subtracting Polynomials Multiplying PolynomialsMultiplying Polynomials Find Special Products of PolynomialsFind Special Products of Polynomials