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10/19/11 Get out your homework! Bellringer: What is absolute value?
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Homework Answers 1. 4 2. 6 3. -84 4. 2/3 5. 12
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QUIZ TOMORROW ON ABSOLUTE VALUE!
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Ratios, Rates, and Unit Rates
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RATIOS A ratio makes a comparison. There are 3 green aliens and 4 purple aliens. The ratio of green aliens to purple aliens is 3 to 4.
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RATIOS A ratio makes a comparison. The ratio of green aliens to total aliens is 3 to 7. The ratio of total aliens to purple aliens is 7 to 4.
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RATIOS A ratio makes a comparison. Ratios can be written in three different ways. 3 to 4 3:4
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RATES A rate is a ratio that compares quantities that are measured in different units. This spaceship travels at a certain speed. Speed is an example of a rate. Speed can be measured in many different ways. This spaceship can travel 100 miles in 5 seconds. 100 miles in 5 seconds is a rate.
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RATES A rate is a ratio that compares quantities that are measured in different units. Rates are often written in fraction form. 100 miles in 5 seconds is a rate. It can be written as….. Miles Seconds
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RATES A rate is a ratio that compares quantities that are measured in different units. One key word that often identifies a rate is PER. Miles per gallon, Points per free throw, Dollars per pizza, Sticks of gum per pack What other examples of rates can your group think of?
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UNIT RATES Most of the time when we work with rates we use a unit rate. A unit rate compares a quantity to one unit of another quantity. This alien can walk at a rate of 10 miles in 2 hours. His speed is a unit rate of 5 miles per 1 hour or simply 5 miles per hour. Miles Hours Miles Hour =
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UNIT RATES A unit rate compares a quantity to one unit of another quantity. These are all examples of unit rates. 2 eyes per alien 1 foot per leg 6 tentacles per head 1 tail per body 3 windows per spaceship 3 riders per spaceship 2 people riders per dog rider
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Which ratio shows the ratio of 2 fish to 3 bear? A B C D E
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Which ratio shows the ratio of 1 soccer ball to 3 basketball? A B C D E
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Which ratio shows the ratio of 3 butterflies to 1 apple? A B C D E
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Three Ways to Write a Ratio The ratio of 3 boys to 5 girls can be written as: a) 3 to 5 b) 3: 5 c) 3535
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TRUE! True or Not True? GUES S! Ratio of students to teachers= 30 : 1 Ratio of fans to players = 1 : 1000 This would mean all the players would be sitting in the stadium! Ratio of weekdays to weekend days = 2 : 5 You wish! TRUE!
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Worksheet
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Exit Ticket What is the bottom number on a unit rate?
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10/19/11 Get out your homework! Turn in your absolute value worksheet into the basket. Bellringer: What is the unit rate of a pack of apples if the cost of apples is $15/3 packs?
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Two equal ratios form a proportion.
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In a proportion the product of the means is equal to product of the extremes.
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3 : 5 = 6 : 10 Extremes Means
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Extremes 6 x 5 = 3 x 10 30 = 30
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When you multiply the means they need to equal the product of the extremes. Determine if the following are proportions. 1) 2)
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3 x 60 = 5 x 36 180 = 180 Yes, it is a proportion. 4 x 15 = 8 x 8 6064 No, it is not a proportion.
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Worksheet Try problems 1-5
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To solve proportions… Cross multiply. Solve for the letter by dividing.
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Examples:
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You try x 3 = 48 4
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Worksheet on Proportions
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Exit Ticket How do you know if two ratios make a proportions?
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10/21/11 Get out your homework. Bellringer: –Write the ratio in simplest form: 54:81
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Ratio homework answers 1.9 to 22. 11:203. 1/14. 8:13 5. 10 to 11 6. 1 to 1 7. 7:108. 1 to 3 9. 5:410. 13/1411. 3/112. 5/18 13. 3 to 114. 2:315. 2:1
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Continued 1.5:82. 4:13. 9:14. 1:2 1. 7/22. 17/323. 4/54. 18/11
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Proportions Worksheet 2. No4. No6. Yes8. No 10. No12. No14. No
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Continued 2. 424. 16. 158. 16 10. 912. Blank14. 61216. 975 18. 48
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Homework Finish proportions worksheet
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PAT If you owe make up work, you have to finish it first! Study Island (order of operations needs to be done by next Friday) Equivalent squares 24 Fractions, decimals, percents bingo Dirt bike proportions game http://www.arcademicskillbu ilders.com/games/dirt-bike- proportions/dirt-bike- proportions.html Work on tessellation Order of operations millionaire game http://www.math- play.com/Order-of- Operations-Millionaire/order- of-operations- millionaire.html Tic Tac Toe http://www.funbrain.com/tict actoe/index.html Scientific notation practice –http://www.xpmath.com/forum s/arcade.php?do=play&gameid =21 Any games on the wikispace –www.mrsnolanmath.wikispace. comwww.mrsnolanmath.wikispace. com
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