an equation that shows two ratios are equal
proportion
If a map key says 2 inches = 3 miles, then 6 inches = ___ miles.
9 miles
If the scale of a map is 3 cm : 9 miles, what is the scale factor?
3
Jordyn is making a scale drawing of a mall. She is using a scale of 1 cm : 3 ft. If the mall is 126 feet long in real life, how long will it be on her scale drawing?
42 cm
- 2 + ( -6) =
-8
drawing used when an object is too large or too small to represent at its actual size; dimensions of the object have been reduced or enlarged
scale drawing
A picture of a cake is 3 inches tall. If the scale factor is 4, how many inches tall is the real cake?
12 inches tall
What is the proportion formula that we use for scale problems?
small unit in scale scale distance
-------------------- = --------------------
large unit in scale actual distance
The scale for a map to actual distance is 2 cm to 100 mi. The driving distance on the map between Los Angeles and Albany is 16.4 cm. What is the actual distance, in miles, between Los Angeles and Las Vegas?
820 miles
4x + 1 = 9
x =
x = 2
compares the length on the scale drawing to a length of the actual object and can be written as a ratio
scale
If a model of a train is 3 feet long and the model used a scale factor of 1 foot : 30 meters, how long is the actual train?
90 meters
Jill made a scale drawing of a building. The current scale drawing has dimensions of 2 cm by 3 cm by 10 cm. She wants to produce a second scale drawing that is larger. If she uses a scale factor of 2, what will the dimensions of the new drawing be?
4 cm by 6 cm by 20 cm
The actual dimensions of a playground are 20 ft by 40 ft. The dimensions of a scale model of the playground are 2 inches by 4 inches. What is the scale factor?
10
Samari paid $180 for three pairs of shoes. What was the unit rate for the cost of the shoes?
$60 per pair
constant of proportionality between the dimensions of an object and the corresponding dimensions on the scale drawing
scale factor
If 2 inches on a map equals 20 miles in real life, how many miles would be represented by 6.5 inches?
130 miles
The diagram below is a scale model of a flag with regions labeled A through F. Region A of the actual flag has an area of 1,470 square inches. The bottom length of the actual flag is 70 inches.
What is the actual area of region D?
392 square inches
A contractor is given a scale drawing of a rectangular patio. The scale from the patio to the drawing is 4 feet to 1 inch. What is the perimeter of the actual patio IF the dimensions of the drawing are 4 inches by 2.5 inches?
52 inches
True or false: We do NOT have to find common denominators to multiply fractions.
True
the number that we multiply one number by to get another in a proportional relationship
constant of proportionality
The actual dimensions of a building are 21 meters by 26.25 meters. The dimensions of a scale model of the building are 6 inches by 7.5 inches. What is the scale factor?
3.5
The diagram below is a scale model of a flag with regions labeled A through F. Region A of the actual flag has an area of 1,470 square inches. The bottom length of the actual flag is 70 inches.
What is the scale of the flag?
1 inch : 7 inches
A contractor is given a scale drawing of a rectangular patio. The scale from the patio to the drawing is 4 feet to 1 inch. What is the area of the actual patio IF the dimensions of the drawing are 4.25 inches by 2.5 inches?
170 square feet
Divide 2.88 by 2.4.
1.2