Vocabulary
An equation that states that two ratios or rates are equivalent
What is a proportion?
Find the unit rate.
54 seconds for 9 jumps
6 seconds per jump
c⁄100 = 32⁄40
c = 80
A drawing of Montezuma Cortez Middle School has a scale of 1 inch = 6 feet. What is the scale factor of the drawing?
1⁄72
Refer to Drawing 1.
Which of the rectangles is similar to rectangle ABCD?
Rectangle PQRS is similar to rectangle ABCD.
The products of the numerator of one ratio and the denominator of the other ratio. One diagonal multiplication equals the other.
What are cross-products?
Find the unit rate.
32.5 minutes to run 5 miles
6.5 minutes per mile
92⁄100 = x⁄150
x = 138
A model train has a scale of 1 inch = 4 feet. What is the scale factor for the model train?
1⁄48
Refer to Drawing 2.
Which triangle below is similar to triangle FGH?
Triangle ABC is similar to triangle FGH.
A rate that is simplified so that it has a denominator of 1 unit
What is a unit rate?
Find the unit rate.
482 students to 20 teachers
About 24 students to each teacher
p⁄525 = 12⁄75
p = 84
An architect's blueprint for a new house shows the kitchen as 7 inches wide. If the scale used to create the blueprint is 0.5 in. = 1 ft., what is the actual width of the kitchen?
The kitchen is 14 feet wide.
Refer to Drawing 3.
The two triangles are similar. Find the value of x.
x = 6km
Figures that have the same shape but not necessarily the same size
What are similar figures?
If Fernando earns $253 in 20 hours, how much is he paid per hour?
Fernando earns $12.65 per hour.
A 12-ounce bottle of shampoo lasts Troy 16 weeks. How long would an 18-ounce bottle of shampoo last him?
An 18-ounce bottle of shampoo lasts Troy 24 weeks.
A map of Cortez, CO has a scale of 1 inch to 5 miles. If the city is 0.75 inches across on the map, what is the actual distance across Cortez?
Cortez is 3.75 miles across.
Refer to Drawing 4.
The trapezoids are similar. Find the value of x.
x = 10 ft.
The ratio (fraction) that compares the measurements of a drawing or model to the measurements of the actual object
What is a scale?
Natasha plants 18 trees in 4 weeks. About how many trees did Natasha plant per week?
Natasha planted approximately 5 trees per week.
A shop makes 39 skateboards every 2 weeks. How long will it take the shop to make 429 skateboards?
It will take the shop 22 weeks to make 429 skateboards.
A model of a tree is made using a scale of 1 inch = 25 feet. What is the height of the actual tree if the height of the model is 4 inches?
The tree is 100 feet tall.
Refer to Drawing 5.
The triangles are similar. Write a proportion and solve the problem. What is the height of the basketball hoop?
x = 12 ft.