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Wednesday, April 18 th Please complete Warm up 1. What percent of 22 is 6? 2.The bill at Olive Garden came to $40.50. If you want to leave a 20% tip, what will your total bill be?
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What did frosty do Wrong? Cheapt Tickets is selling 5 tickets to Taylor Swift’s concert for $540.50. If Frosty needs 8 tickets, how much will that cost him?
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How can you tell if a ratio is a proportion? Cross Products must be equal!!!!
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Review Compare multiplying decimals to multiplying fractions
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Copy and Complete
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Fill in the missing pieces!
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Percent Practice Ethan has mowed 40% of his lawn. If he has been mowing for 20 minutes, how long will it take him to mow the rest of his lawn?
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Five Alive
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1.Marta enlarges a photo that is 7 inches high and 4 inches wide. If the height of the enlargement is 10 inches, find the width? 2. How much is a 11% tip on a $20.97 bill? 3. NGMS won 72% of the games they played last season. If they played 15 games, how many games did they win? 4.The price on a book is $12.99. If sales tax is 4%, about how much will its total cost be? 5.The bill for a family dinner comes to $56.78. About how much would a 20% tip be?
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Customary Conversion Factors 1 foot = 12 inches 1 yard = 3 feet 1 yard = 36 inches 1 mile = 5,280 feet 1 mile = 1,760 yards 1 pound (lb) = 16 ounces (oz) 1 Ton (T) = 2,000 pounds 1 gallon = 4 quarts 1 quart= 2 pints 1 pint = 2 cups 1 cup = 8 fluid ounces (fl oz)
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Helfpul Hint #1 1 mile=5 “tomatoes”
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Helfpul Hint #2 Green Bay Packer
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Important! Same measurements in the numerator Same measurements in the denominator
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Stop, Drop, and Watch How many feet are in 3 miles?
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What did Brad Pitt do wrong? How many cups are in 5 pints?
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METRIC CONVERSION How to convert within the metric system © Copyright 2003 - 2004. M. J. Krech. All rights reserved.
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The Metric System is based on sets of 10 1 x 10 = 10 10 X 10 = 100 10 x 100 = 1,000
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Is used by scientists all over the world! The Metric System
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Naming the Metric Units Meter units measure Length Gram units measure mass or weight Liter units measure volume or capacity.
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Did you also know? King Henry Doesn’t Usually Drink Chocolate Milk Memorize this!
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You must also know… …how to convert within the Metric System. We’ll make a handy, dandy device every time we convert!
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U: UNITS Write the units in the middle under the “U”. mlgmlg
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Example #1: (1) Look at the problem. 56 cm = _____ mm Look at the unit that has a number. 56 cm On the device put your pencil on that unit. k h d U d c m km hm dam m dm cm mm
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Example #1: k h d U d c m km hm dam m dm cm mm 2. Move to new unit, counting jumps and noticing the direction of the jump! One jump to the right!
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Example #1: 3. Move decimal in original number the same # of spaces and in the same direction. 56 cm = _____ mm 56.0. Move decimal one jump to the right. Add a zero as a placeholder. One jump to the right!
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Example #1: 56 cm = _____ mm 56cm = 560 mm
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What did Adele do wrong? Convert 45 kg to centigrams Kilo to centi is 6 jumps SO, 45.00 move decimal 6 times.000045
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Question ¼ lb= ________________oz
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Answer 4
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Question 8 cups = ________________fl oz
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Answer 16
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Question 10 quarts = ________________gal
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Answer 2.5
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Question What would be a reasonable measurement for the length of your front door? Customary
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Answer Yard
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Question.00043 kg = ___________g
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Answer.43 grams
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Matching sides of two or more polygons are called corresponding sides Matching angles are called corresponding angles.
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Similar figures have the same shape but not necessarily the same size.
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Labeling Similar figures!
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Are the following shapes SIMILAR?
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What is It? Indirect Measurement uses similar figures and proportions to find height of objects you cannot measure directly
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You must set up proportions and solve!!!!! Remember your corresponding sides!
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Find side length GF
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Find x
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Solve A 12 foot flagpole casts an 18 foot shadow. A flower under the flagpole casts a 2 foot shadow. How tall is the flower?
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The map shown is a scale drawing. A scale drawing is a drawing of a real object that is proportionally smaller or larger than the real object. In other words, measurements on a scale drawing are in proportion to the measurements of the real object.
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A scale is a ratio between two sets of measurements. In the map above, the scale is 1 in:100 mi. This ratio means that 1 inch on the map represents 100 miles.
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Set up a proportion: ratio equals ratio Ratio #1 is the scale factor they give you (first 2 numbers) Ratio #2 place third number according to measurement Measurements match in numerators Measurements math in denominators
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Examples
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Is it set up right? Why or why not? 1. The scale on the map is 3 cm: 10 m. On the map the distance between two cities is 40 cm. What is the actual distance? 2. The scale on the map is 10 in: 50. On the map the distance between two schools is 30 in. What is the actual distance?
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The scale on a map is 4 in: 1 mi. On the map, the distance between two towns is 20 in. What is the actual distance? 20 in. x mi _____ 4 in. 1 mi ____ = 1 20 = 4 x 20 = 4x 20 4 ___ 4x 4 ___ = 5 = x Write a proportion using the scale. Let x be the actual number of miles between the two towns. The cross products are equal. x is multiplied by 4. Divide both sides by 4 to undo multiplication. 5 miles
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18 in. x mi _____ 3 in. 1 mi ____ = 1 18 = 3 x 18 = 3x 18 3 ___ 3x 3 ___ = 6 = x Write a proportion using the scale. Let x be the actual number of miles between the two cities. The cross products are equal. x is multiplied by 3. Divide both sides by 3 to undo multiplication. 6 miles The scale on a map is 3 in: 1 mi. On the map, the distance between two cities is 18 in. What is the actual distance?
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Classwork
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