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Ratios and Proportions

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Ratios and Proportions

Created By: Mr. Kornfield

- Ratios compare two numbers.
- Ex. of a ratio 1gal of gas : $3
- Ex. of a proportion 5ft. : 50ft. = 1ft. : 10ft.

- Ratios also look like fractions, but it means the same
- 1/3 5/50 1/10

- A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal.
- Ex.3/4 = 6/8
- Ex. 7:14 = 1:2

- Cross Product Property means the same as cross multiply.
- Ex. v:w = x:yv/w = x/y
- v · y = w · x

- 3/4 = 9/x
- 3 · x = 4 · 9

- Ex. v:w = x:yv/w = x/y
- Extended Proportion is a statement with three or more congruent ratios.
- Ex. 30:6 = 15:3 = 5:1
- Ex. 1500:50 = 750:25 = 150:5 = 30:1

- A scale is the ratio of any length in a scale drawing to the corresponding actual length, the lengths may be in different units.
- A scale drawing is a drawing in which all lengths are proportional to corresponding actual lengths.

B

Scale:

½ in.:1ft.

Actual Measures:

Side A= 8ft.

Side B= 12ft.

Side C= 12ft.

Side D= 8ft.

Opening E= 4 ft.

A

C

E

D

- When you go home choose a room
- Measure the room to the nearest inch
- Create a scale drawing that that includes a scale of ½ in. : 1 ft. (Use graph paper provided on the back of your rubric)
- Make sure you include windows, doors, hallways, and openings if applicable
- Work should be shown when displaying conversion measurements
- Please include at least 3 pieces of furniture, make sure EVERYTHING is to scale
- Make sure to include creativity such as color, designs, and any individual artistic features