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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.

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ratios and proportions

Ratios and Proportions

Created By: Mr. Kornfield

terms
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
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:y v/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
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.
scale drawing example
Scale Drawing Example

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
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
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