Vocabulary
The Scale Factor
Find the Scale Length
Scaled Copy Detective
Error Analysis
100
This is a representation of an object that has been made smaller.
What is a Reduction (shrink)
100
What is a scale factor?
The number that can be calculated from the ratio of any length in the scale drawing to its corresponding length in the actual picture. Communicates the factor multiplied to side lengths to create the scaled copies measurements.
100
A rectangle has a side length of 4 inches. A scale factor of 3 is applied. What is the corresponding side length of the scaled copy?
What is 12 inches
100
The second figure is a scaled copy of the first. Find the scale factor used from the first figure to the second figure in simplified fraction form.
What is 5/2 ?
100
Jalen says, “A scale factor of 2 means I multiply every corresponding length by 2.” Is Jalen correct?
Yes
200
The ratio of the length in a drawing or model to the length on an actual (real life) object
What is a Scale
200
Original Figure: 7 inches by 14 inches
Scaled Copy: 21 inches by 42 inches
What is "3"
200
A triangle has a side length of 6 cm. A scale factor of 2 is applied. What is the corresponding side length of the scaled copy?
What is 12 cm?
200
If the scale factor from Figure A to Figure B is 2/3. Find the scale factor from Figure B back to Figure A
What is 3/2?
200
Mia says a figure with side lengths 3 and 5 can be scaled to side lengths 6 and 8 using a scale factor of 2. Is she correct?
No
3(2) = 6 , but 5(2) =10, not 8.
300
This is a reduced or enlarged representation of an object, usually accompanied by a comparison of sizes.
What is a Model or a Scale Drawing/Copy
300
Original figure: 2 inches by 6 inches
Scaled figure: 18 inches by 54 inches
What is 9?
300
A rectangle has a side length of 10 feet. A scale factor of ½ is applied. What is the corresponding side length of the scaled copy?
What is 5 feet?
300
A picture of a scale drawing of a rectangular park has an area of 35 square inches. If the picture was enlarged by a scale factor of 8 find the area of the enlarged picture
What is 2240 in2?
300
Jordan changes side lengths 4 and 6 to 8 and 10. He says, “I added 4 to both sides, so this is a scaled copy.” What is his mistake?
Using addition instead of the same scale factor
400
A representation of an object that is larger than the original
What is an Enlargement
400
Rectangle A: 5 inches by 25 inches
Rectangle B: 1 inch by 5 inches
What is 1/5
400
Figure A has corresponding side lengths of 8 inches and 12 inches. A scale factor of 1.5 is applied to create Figure B. What are the corresponding side lengths of Figure B?
What are 12 inches and 18 inches?
400
Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A. Find the measures of Rectangle B with scale factors of 10.
What is 90in by 30 in.?
400
A student says the scale factor from a figure with a corresponding side of 12 to a figure with a corresponding side of 6 is 2. What should the scale factor actually be?
What is ½?
500
What are corresponding sides?
Sides that are in the same position just on shapes that look the same.
500
Rectangle A: 9 inches by 24 inches
Rectangle B: 3 inches by 8 inches
What is "1/3"
500
A triangle has side lengths of 12 cm, 16 cm, and 20 cm. A scale factor of ¾ is applied. What are the side lengths of the scaled copy?
What are 9 cm, 12 cm, and 15 cm?
500
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. Find the area of the actual park, in square yards.
What is 56,000 yards2?
500
A student says these are scaled copies:
Original: 6, 9, 12
Copy: 4, 6, 8
The student says the scale factor is ⅔. Is the student correct?
Yes