1. That sounds pretty easy.
Ratios and Rates
A ratio is a comparison of two numbers by division.
A rate represents quantities measured in different units.
$1.50 for 16 ounces of soda
A unit rate is a rate with a denominator of 1.
Division is used to find a unit rate.
That sounds pretty easy.

2. Finding Unit Rates
The following table gives prices for different sizes of apple juice. Find the unit rate for each. Which has the lowest cost per ounce?
The 64 ounce bottle has the lowest cost per ounce.
In 2004, Lance Armstrong won the Tour de France, completing the 3391 km course in 83.6 hours. Find his average speed.

3. Converting Rates Asi de facil
A runner runs 4 miles in 45 minutes. What is his average speed in miles per hour?
A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour?
The cheetah’s average speed in miles per hour is approximately 70 MPH

4. There’s a table on page 814 that can help.
Converting Units
There’s a table on page 814 that can help.
Convert the given amount to the given unit.
330 mins; hours
5 ft 3 in; inches
60 minutes = 1 hour
12 inches = 1 foot
1,250 cm; meters
15kg; grams
That was easy
100 cm = 1 meter
1 kg = 1,000 grams

5. Converting Units Between Systems
There’s a table on page 814 that can help.
Convert the given amount to the given unit.
9 yds; meters
89 cm; inches
1 yd = 3 ft : 1 ft = .305 m
1 in = 2.54 cm
7 kg; pounds
5 qt; liters
Asi de Facil
1 lb = .454 kg
1 qt = .946 L

6. Homework
Page 119: Even Numbers

7. Solving Proportions
A Proportion is an equation that states that two ratios are equal.
Solve each proportion using the Multiplication Property.

8. Solving Proportions Using the Cross Products Property
Solve each proportion using the Cross Products Property.

9. Solving Multi-Step Proportions
Asi de Facil

10. Proportions Word Problems
Proportions are written as ratios.
You drive 50 miles in 35 minutes. How long would it take you to drive 70 miles at the same rate of speed?
A box of cereal weighing 354 grams contains 20 grams of fat. Find the number of grams of fat in the recommended serving size of 55 grams.
It would take 49 minutes to drive 70 miles.
A 55 gram serving contains approximately 3.1 grams of fat.

11. Homework
Page 127: 10 – 36 Even Numbers

12. Let’s throw some numbers in there.
Similar Triangles
Similar Triangles are the same shape but not necessarily the same size.
In Similar Triangles corresponding angles are congruent and corresponding sides are in proportion. B 15 12 E 10 8 A C D 18 12 F
Let’s throw some numbers in there.

13. Similar Triangle Examples
The figures in each pair are similar. Find the missing length. 8 4 10 6 x 15 x x 20 10 13 9 16 7 11 18 x
3.75 27 x
Asi de facil

14. Applying Similarity
A tree casts a shadow 7.5 feet long. A 5 foot tall woman casts a shadow 3 feet long. How tall is the tree?
A 60 foot tall building casts a shadow 22 feet long. A brick 15 foot wall is next the building. How long is the shadow that the wall casts? x 5
The tree is 12.5 feet tall. 3
7.5 60 15
The shadow is 5.5 feet long. x 22

15. Maps and Scale Drawings
The scale on a map is 1 inch : 32.5 miles. Find the following actual distances.
4.5 inches
13.25 inches
3 inches
An architect's drawing is in the scale 1 inch : 6 feet.
What are the actual dimensions of a room that is 3.5 inches by 2.5 inches on the drawing?
The room is 21 feet by 15 feet.
What would the measurements on the drawing be for a room that is 30 feet by 24 feet?
On the drawing the room would be 5 inches by 4 inches.

16. Homework
Page 134: 6 – 18 Even Numbers
Page 135: 19 – 21 All Questions