Scales
Ratios
Vocabulary
Rates
Similar Figures
100
If I want to draw a map of the room on a 8.5 x 11 inch peice of paper and the room is 20 x 32 feet, What is the best scale to use? And what will be the dimensions of the drawing?
What is 1 inch : 3 feet?
100
Solve for x:
x/32=4/5
x = 25.6
100
It is the missing word in the definition: Two equivalent ratios are
What is "proportional?"
100
Thirty buses can carry 1500 people. What is the number of people that can be carried by 5 buses.
What is 250?
100
Complete the similarity statement.
Triangle DCB
200
It is a 375-mile drive from San Francisco to Los Angeles. A map scale shows 2 centimeters equaling 10 actual miles. How long is the route on the map, in centimeters?
75
200
Two towns are 20 miles apart. On a map with the scale 1 inch = 40 miles, how many inches apart are the towns?
What is 1/2 in.?
200
Ratios that make the same comparison are
equivalent ratios
200
On a map 1 inch = 50 miles. If point A is 7.5 inches from point B on the map. How far is point A from point B in the real world?
What is 375 miles?
200
Two rectangles are similar. The smaller rectangle has a length of 8 cm. and a width of 6 cm. The larger rectangle has a width of 9 cm. and a length of ______cm.
What is 12?
300
A famous recipe for New Orleans jambalaya calls for 1 and 1/4 cups of Gulf shrimp. The recipe serves 5 people. Genevieve and Eloi have been hired to cook for a dinner party to serve 12 guests, so they increase all the ingredients proportionally. How much Gulf shrimp is required for the new recipe?
3
300
In a drawing, there are three circles, four stars, and three triangles. It is the ratio of stars to the total number of shapes.
What is 2/5?
300
What is a unit price?
a unit rate that tells the cost of one item.
300
You want to paint a banner bright orange for your birthday party. The orange color you like uses 3 parts red and 5 parts yellow. How many cups of red would you need if you want 1 gallon of paint? (There are 2 cups in 1 pint, 2 pints in 1 quart, and 4 quarts in 1 gallon.)
6
300
It is 450 miles from San Francisco to Los Angeles. On a map of California, the scale shows that 2 centimeters equals 10 actual miles. How far apart on the map are the two cities?
What is 90 cm?
400
You are standing on the beach. You see the large waves and wonder how high the waves are. You pick up a stick and sight a wave, from its base to its height. You determine that the stick is 8 inches. You know the stick is 20 inches from your eye. You estimate that you are standing 35 feet from the base of the wave. How high is the wave?
14ft
400
A lake contains brown trout and rainbow trout. A naturalist wants to know how many of each kind of fish are in the lake. She catches and releases fish during one day. She catches 6 brown trout and 9 rainbow trout. She estimates that there are 450 trout in the lake. If the naturalist's sample represents the lake's population, how many of the estimated 450 trout in the lake are rainbow trout?
270
400
Is this a rate, unit rate, or neither?
$40 for two shirts
Rates
400
Cindy’s dad is making fruit juice. The recipe calls for 5 parts apple juice and 3 parts pineapple juice. Cindy’s dad puts 2 and 1/2 cups of apple juice into a pitcher. He wants the juice in his pitcher to taste the same as the juice in the recipe. How much pineapple juice does he need to mix into the pitcher?
1 and 1/2
400
The Geology Club of Gilroy Middle School took a field trip to Nisene Marks State Park to visit the epicenter of the 1989 earthquake. There were 3 adults for every 8 students on the field trip. A total of 44 people went on the field trip. How many adults were on the field trip?
What is 12?
500
On Fiona's map, the distance from her office to her house measures 3.5 in. The map scale is 1 in. = 16 mi. If Fiona drives back and forth, how many total miles will her round trip be?
What is 112 miles?
500
The Ripple River school orchestra consists of students playing only the violin or the cello. There are 6 cellos to every 9 violins in the orchestra. There are a total of 75 students in the orchestra. How many cellos are there in the orchestra?
30
500
A ________________ is a statement that two ratios or rates are equivalent.
Proportion
500
A model car is 6 inches long, the real car is 15 feet long. How many times longer is the real car than the model?
What is 30 times?
500
You are standing 20 feet from a flagpole. You have a stick that is 3 feet long. You hold the stick 2 feet from your eye. The stick is straight up and down like the flagpole. You can see that the top of the flagpole and the top of the stick line up. Without moving you also see that the bottom of the pole and the bottom of the stick line up.
How tall is the flagpole?
30ft