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Do Now 2/24/10. Take out HW from last night. 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. 4) -4y – 8y² - 4y 8) -20b + 10b - 5b + 55b³ 12) 5s² + 42s + 16
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Do Now 2/24/10 • Take out HW from last night. • 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
4) -4y – 8y² - 4y 8) -20b + 10b - 5b + 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 - 14w + 3w³ + 2w² 40) (1/2)x² + (11/2)x + 15 44) C 48) 4x³y – 20x²y² + 4xy³ Homework Text p. 565, #4-48 multiples of 4, & #50 4 50) a) 2x² + 100x + 800 b) 1350 ft² 8 6 4 6 4
Objective • SWBAT use special product patterns to multiply polynomials
“Multiply Using FOIL” When multiplying a binomial and another polynomial use the method. FOIL First Outer Inner Last
“Multiply Using FOIL” (x – 4) (3x + 2) combine like terms
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 x² + 10x + 25 (x + 5)(x + 5)
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 4x² – 16x + 16 (2x – 4)(2x – 4)
“Using the Binomial Square Patterns and FOIL” (a + 4)² (a + 4) (a + 4) square pattern combine like terms
“Using the Binomial Square Patterns and FOIL” (5x – 2y)² (5x – 2y) (5x – 2y) square pattern combine like terms
Sum and Difference Pattern (a + b) (a – b) a² – b² (a + b) (a – b) “The difference of two squares” combine like terms
Sum and Difference Pattern (x + 3) (x – 3) x² – 9 combine like terms “The difference of two squares”
Word Problem • 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. FOIL 20in x x 4x² + 40x + 44x + 440 4x² + 84x + 440 x
“Box-and-Whisker Plots” • Box-and-whisker plots- • Uses the MEDIAN of a set of data. • The “FIVE” points of a box-and-whisker plot • (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 • Find the “FIVE” points of a box-and-whisker plot • (1) Find the SMALLEST number. • (2) Find the GREATEST number. • 3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27 • 3 • 27
Draw a box-and-whisker plot for the following set of data. • (3) SECOND QUARTILE- Find the MEDIAN of the whole set – Greatest Smallest • 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 Greatest Smallest • 3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27 • 9 • 15 First quartile Second quartile • (8 + 10) ÷ 2= 9
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 – Greatest Smallest • 3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27 • 20 • 9 • 15 First quartile Third quartile Second 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. Greatest Smallest • 3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27 • 20 • 9 • 15 First quartile Third quartile Second quartile 3 3 9 9 15 15 20 20 27 27 • Draw the box-and-whisker plot.
Homework • Text p. 572, #4-16 multiples of 4, #24,28,32, 38 • Study for quiz Friday sections 9.1 – 9.3 • Adding and Subtracting Polynomials • Multiplying Polynomials • Find Special Products of Polynomials