10/19/11

• Get out your homework!

• Bellringer:• What is absolute value?

Homework Answers

1. 4

2. 6

3. -84

4. 2/3

5. 12

QUIZ TOMORROW ON ABSOLUTE VALUE!

Ratios, Rates, and Unit Rates

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.

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.

RATIOS

A ratio makes a comparison. Ratios

can be written in three different

ways.

3 to 4

3:4

4

3

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.

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

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?

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=

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

Which ratio shows the ratio of 2 fish to 3 bear?

A

B

C

D

E

Which ratio shows the ratio of 1 soccer ball to 3 basketball?

A

BC

D

E

Which ratio shows the ratio of 3 butterflies to 1 apple?

A

B

C

D

E

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

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!

Worksheet

Exit Ticket

• What is the bottom number on a unit rate?

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?

Two equal ratios form a proportion.

In a proportion the product of the means is equal to product

of the extremes.

3 : 5 = 6 : 10

Extremes

Means

3

5

6

1 0

Means Extremes

6 x 5 = 3 x 10 30 = 30

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)

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.

Worksheet

• Try problems 1-5

To solve proportions…

• Cross multiply.

• Solve for the letter by dividing.

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

Examples:

x

35

3

5

9

62x

You try

x3

= 484

Worksheet on Proportions

Exit Ticket

• How do you know if two ratios make a proportions?

10/21/11

• Get out your homework.

• Bellringer:– Write the ratio in simplest form:

54:81

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

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

Proportions Worksheet

2. No 4. No 6. Yes 8. No

10. No 12. No 14. No

Continued

2. 42 4. 1 6. 15 8. 16

10. 9 12. Blank 14. 612 16. 975

18. 48

Homework

• Finish proportions worksheet

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