10/19/11 get out your homework! bellringer: what is absolute value?
TRANSCRIPT
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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
4
3
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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…..
5
100 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 RATESMost 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 aunit rate of 5 miles per 1 hour orsimply 5 miles per hour.
2
10 Miles
Hours 1
5 Miles
Hour=
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UNIT RATESA unit rate compares a quantity to one unit of
another quantity. These are all examples ofunit rates.
2 eyes per alien1 foot per leg
6 tentacles per head1 tail per body
3 windows per spaceship3 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
BC
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) 35
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TRUE!
True or Not True? GUESS!
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 : 5You wish!
TRUE!
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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3
5
6
1 0
Means 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.
5
3
6 0
3 6
1) 8
1 5
4
82)
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5
3
6 0
3 6
3 x 60 = 5 x 36180 = 180
Yes, it is a proportion.
8
1 5
4
8
4 x 15 = 8 x 8
60 64No, 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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2 4
3
3
3
x
4 3
6x
4 6 3 x2 4 3 x
8 x
3
6
5y
3 5 6 y3 3 0y 3
3
3 0
3
y
y 1 0
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Examples:
x
35
3
5
9
62x
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You try
x3
= 484
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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 2 2. 11:20 3. 1/1 4. 8:13
5. 10 to 11 6. 1 to 1 7. 7:10 8. 1 to 3
9. 5:4 10. 13/14 11. 3/1 12. 5/18
13. 3 to 1 14. 2:3 15. 2:1
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Continued
1. 5:8 2. 4:1 3. 9:1 4. 1:2
1. 7/2 2. 17/32 3. 4/5 4. 18/11
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Proportions Worksheet
2. No 4. No 6. Yes 8. No
10. No 12. No 14. No
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Continued
2. 42 4. 1 6. 15 8. 16
10. 9 12. Blank 14. 612 16. 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.arcademicskillbuilders.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/tictactoe/index.html
• Scientific notation practice– http://www.xpmath.com/forums/
arcade.php?do=play&gameid=21
• Any games on the wikispace– www.mrsnolanmath.wikispace.com