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Do Now 2/16/10. Take out HW from last week. Text p. 278, #10-30 evens, #35 Copy HW in your planner. Text p. 283, #12, 16, 20-34 evens, #37-41 all Quiz sections 6.1-6.3 Thursday Be ready to copy POTW #3. POTW #2 will be due tomorrow. 10) 42 12) 9 14) 99 16) 13 18) 6 20) 40 22) 13
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Do Now 2/16/10 • Take out HW from last week. • Text p. 278, #10-30 evens, #35 • Copy HW in your planner. • Text p. 283, #12, 16, 20-34 evens, #37-41 all • Quiz sections 6.1-6.3 Thursday • Be ready to copy POTW #3. • POTW #2 will be due tomorrow.
10) 42 12) 9 14) 99 16) 13 18) 6 20) 40 22) 13 24) 27 26) 6 days 28) 117 Canadian dollars 30) A. B. 35) it decreases HomeworkText p. 278, #10-30 evens, #35
Objective • SWBAT solve proportions using cross products
Proportion- Section 6.2 “Writing and Solving Proportions” an equation that states that two ratios/rates are equivalent. “a is to b as c is to d”
Solving a Proportion • Solve a proportion by finding the value of the variable. • One way to solve a proportion is to write both fractions with the same denominator (think of equivalent fractions). You need to find a value of n so that is equivalent to = =
Section 6.3 “Solving Proportions Using Cross Products” If , then
Using Cross Products If , then If , then Divide both sides by 33
= 6 9 6 9 51 34 51 34 = 12 12 32 32 6 51 = 934 = = 20 20 50 50 12 · 50 =20·32 Tell whether the ratios form a proportion ? ? ? Write original proportion. ? ? Cross products property Write original proportion. ? 306 = 306 Simplify. ? 0 Cross products property 306 = 306 YES! 600 = 640 ? Simplify NO! 600 ≠ 600
Solve the proportion = 8 6 6 8 15 x 15 x = a a 21 21 8 15 = x 6 = = 29 29 7 7 21 · 29 = 7 a Solve the proportion Write original proportion. Cross products property 120 = 6x Simplify. Write original proportion. 20=x Divide each side by 6. Cross products property 609 = 7a Simplify 87 = a Divide both sides by 7.
Solve the proportion 3 3 7 7 2 2 8 8 = = = = x x x x x x x x + 4 – 6 – 6 + 4 7(x + 4) =8x 3(x – 6) =2x Solve the proportion Write original proportion. Cross products property Write original proportion. 3x – 18 = 2x Distrubutive property Cross products property 18 = x 7x +28 = 8x Distrubutive property 28 = x
The ship model kits sold at a hobby store have a scale of 1 ft : 600 ft. A completed model of the Queen Elizabeth II is 1.6 feet long. Estimate the actual length of the Queen Elizabeth II. 1 = 600 1.6 The actual length of the Queen Elizabeth II is about 960 feet. g SOLUTION Write and solve a proportion to find the length gof the Queen Elizabeth II. 1 · g = 600 · 1.6 Cross products property g = 960 Simplify.
Homework Text p. 283, #12, 16, 20-34 evens, #37-41 all