Chapter 7. April 02, 2015

Transcription

1 Chapter 7

2 7.1A Percentage of a Number Percentage: a rate, number, or amount in each hundred. 99%, 88%, 12% 1. Divide by 100. Move the decimal 2 spots to the left 2. Multiply 3. Does it make sense? 25% of x x 140 = 35 Yes...1/2 would be 70 Try These... 40% of % of 88 29% of % of % of 80

3 you may use a calculator try these without the calculator

4 7.1B Note...This worksheet covers targets 7.1A-D

5 7.1C you may use a calculator try these without the calculator 62.5% of % of 9.6

6 % of % of

7 7.1D Percentage w/fraction of a Number 1. Convert % to decimal 2. Convert frac to decimal 3. Combine 4. Multiply 42 7/8% of /8%.42 7/ Do not put in a second decimal! x 80 = 34.3 Try These /2 % of /2% of /4% of /5% of /3% of 80

8 35 1/5 % of /8% of /5 % of /16% of

9 7.2A Percentage of the Whole What percent of 15 is 9? 9 15 Part % Whole x divide 100 Strong be the force within the box! 60 Try These... What percent of is 12 What percent of is 15 What percent of is 32 What percent of is 12 What percent of is 24 What percent of is 36

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11 7.2A Find the Part What part of 15 is 60%? Part % Whole?'s x divide What number is 60% of 45? What part of 45 is 60%? Try These... What part of is 25% What part of is 15% What part of is 30% What number is 12.5% of 84? What number is 96% of 24? What number is 144% of 36? Strong be the force within the box!

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13 7.2C Find the Whole Try These... What is the whole? Part % Whole?'s 15 x divide 12 is 25% of what number? 60% of what number is % of a certain number is 15 Find a number so that 40% of it is 80 9 is 60% of what number? Strong be the Jedi that uses the box!

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15 25% of what number is 35? 30% of a certain number is is 40% of what number? Find a number so that 12.5% of it is 12.

16 7.3 Estimating Percentages Try These... Round Number to a familiar landmark so = 300 1% divide by 100 1/2% divide 1% by 2 10% divide by 10 50% divide by 2 100% is the number it self = 3 1% = 3 so 1/2% = = = Estimate: 10% of 59 1% of 630 1/2 percent of % of % of % of 63 1% of 989 1/2 percent of % of % of 989 Round if needed

17 Estimate 10% of 45 50% of 789 1% of 345 1/2% of 80 John has a collection of 3120 baseball cards. He takes 50% of his collection, and puts it in binders. He give 15% of the remaining cards away. He put the remaining cards in a shoe box in his closet. How many cards are in the shoe box?

18 Estimate 10% of 45 50% of or % of 345 1/2% of , 3.5, or cards in the box

19 7.3A Estimating Percentages Less than 100% Round % Round whole number 63% of % 60% Use landmarks to estimate 50% = 60 10% = 12 so..60% of 120 = 72 Try These... 34% of 79 45% of % of 78 79% of % of 255

20 6 Blocker 70% of = % of 80 = 40 50% of 76 = 38 30% of = 27 10% of 238 = 23 20% of = % of 45 = 45

21 7.3B Estimating Percentages More than 100% Round % Round whole number 163% of % 150% Use landmarks to estimate % = % = 60 so..150% of 120 = 180 Try These % of % of % of % of % of 255

22 125% of % of % of % of % of = % of = % of = % of 100 = 500

23 Use the box 7.4A Solve Real World Problems Try These... Use what we learned Make sure your answers make sense part whole 100 %

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25 Chapter 10

26 10.1A Classify Angles See how many true statements you and your table partner/trio can write about these angles. Make a numbered list: a c d c 's a and c are vertical angles...opposite angles formed by intersecting lines 's c and d are adjacent...next to each other. They share a vertex and a line but do noit overlap d c a b a3 a4 a2 a1

27 Four Blocker identify all obtuse angles identify all acute angles identify 1 pair of vertical angles identify 2 pairs of adjacent angles

28 Four Blocker identify all obtuse angles identify all acute angles 2 3,4,5 identify 1 pair of vertical angles 's 1, 3 identify 2 pairs of adjacent angles

29 10.1B Intersecting Lines and Angles Determine the measure of all angles. Circle: 360 degrees. 360 o o 70 o 110 o 70 o 110 o o All 4 's add up to 360 degrees Adjacent 's will add up to 180 degrees. 60 o d c a b 1 a2 55 o 40 o

30 Blocker Find the measure of the numbered angle 4 5 6

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32 10.2AB Complementary/Supplementary Angles complementary: 2 angles w/sum of 90 degrees supplementary: 2 angles w/sum of 180 degrees 120 o linear angles: 2 angles w/sum of 180 degrees and ON THE SAME LINE...form a line!!! 120 o 80 o 60 o 60 o 20 o Write as many true statements as you can about the angles below. 4 d c a b 1 55 o 40 o a2

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35 10.4A Classify Triangles Classify = S A Tell me about the Sides and Angles 1 Classify...SA 3 2 4

36 Classify by SA...Sides and Angles

37 4 blocker

38 scalene, right isosceles, obtuse isosceles, acute scalene, right

39 10.4B Missing Angle Find the Missing Angle(s Just copy these o 20 o???? 3? 15 o ? ??

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43 10.6A Classify Quads symbol for parallel sides symbol for congruent sides symbol for congruent angles Quadrilateral no congruent sides/angles no parallel sides Kite 2 sets of adjacent, congruentsides

44 Guided 10.6A

45 Quadrilateral Trapezoid Parallelogram Rectangle Rhombus 4 sides quad with 1 pair parallel lines quad with opp sides parallel and congruent parallelogram with 4 right angles parallelogram with 4 congruent sides Square parallelogram with 4 right angles and 4 congruent sides Kite Define Each Shape 2 pairs congruent, adjacent sides

46 10.6B Quad Angles a b d c a + b + c + d = 360 degrees = 360 degrees Find x x = x = x = 90

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51 10.8A Decomposing Polygons To find the sum of the interior angles of a convex polygon Decompose it...break it into triangles = 540 or 2. Apply the formula Find the sum of the angles. 2. Find the measure of angle c sum = 180(5-2) 540 = 180 x 3 c and e are = sum = 180(5-2) sum = 180(3) sum = 540 Remember... regular polygons have congruent sides and angles c= c = c = 270 c = 135

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