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# Ratios and Proportions PowerPoint PPT Presentation

Ratios and Proportions. Created By: Mr. Kornfield. Terms. 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. Terms Cont.

Ratios and Proportions

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## Ratios and Proportions

Created By: Mr. Kornfield

### Terms

• 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

### Terms Cont.

• 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

• 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

### Scale and Scale Drawing

• 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

### For Homework

• 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