Ratios, Rates, Unit Rates
Proportional/Nonproportional
Solving Proportions
Scale Drawing
Similar figures/Indirect Measurement
100

Write a fraction that represents the ratio of 12 sodas to 16 candies in simplest form.

3/4

100

In order to be proportional, two quantities must have a _____    _______

constant rate

100
15/x = 5/4
x = 12
100

On the scale drawing of a museum, the scale is 0.5 inches = 10 feet. If the length of the scale drawing is 7.5 inches. What is the actual length of the museum?

150 feet
100

Find x (drawing will be on white board)

x=24

200
125 miles in 200 minutes. Find the unit rate.
0.6 miles per minute
200
Boxes: 1, 2, 3, 4. Pens: 8, 16, 24, 32. Is the set of numbers proportional? Explain.
Yes, each rate is equal to 1/8.
200
m/6 = 18/15
m = 7.2
200

bonus question: What day is it and who will be here after school?

Wednesday 4:00 pm after school Jodi will be here

200

Using the drawing on the white board. What segment corresponds to AB?

FG

300

Samuel can walk 6 miles in 1/3 hour. What is his average speed in miles per hour?

18 miles per hour

300
Number of people: 2, 4, 6, 8. Brownies eaten: 2, 5, 7, 10. Is the set of numbers proportional? Explain.
No, the rates are not equal.
300
16.5/21 = 5.5/y
y=7
300
On the scale drawing of a museum, the scale is 0.5 inch = 10 feet. Find the actual length of the Renaissance gallery that is 4.25 inches.
85 feet
300

Using the drawing on the white board, what angle is congruent to <A?

<F

400

4 meters = ? feet

13.12 feet

400

What two characteristics must a graph have in order to show a proportional relationship? 

Straight line passing through the origin

400

(1/3)/x = 4/3

1/4

400
On the scale drawing of a museum, the scale is 0.5 inch = 10 feet. Find the actual length of the Modern Art gallery that is 6 inches.
120 feet
400
At 7 feet 8 inches, the world's tallest woman casts a 46-inch shadow. At the same time, the world's shortest woman cats a 15.5-inch shadow. How tall is the world's shortest woman?
31 inches (2 feet 7 inches)
500

2 feet to 18 inches. Represent the ratio as a fraction in simplest form.

2 ft - 24 inches. 24/18 = 4/3

500

A customer at the ring toss booth gets 8 rings for $2. Write an equation relating the cost to the number of rings. At this rate, how much would a customer pay for 11 rings? 

c = 0.25r, 11 rings costs $2.75

500
A homeowner whose house is assessed for $120,000 pays $1,800 in taxes. At this rate, what is the tax on a house assessed at $135,000.
$2,025
500
The length of a highway is 900 miles. If 1/2 inch on a map represents 50 miles, what is the length of the highway on the map?
9 inches
500

The Kwigillingok wind mills cast a show that is 15 feet. At the same time, a dog that is 3 feet tall casts a show that is 2 feet. How tall is the wind mill?

x= 22.5 ft

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