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.

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Ratios and Proportions

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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: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

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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