8.1 ratio and proportionmsengbrecht.weebly.com/uploads/1/7/5/7/17574061/8.1... · 2018. 10. 15. ·...
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8.1 Ratio and Proportion
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March 28, 2016
Warm Up
1m = ____ cm
1km = ____ m
Fill in the following conversions.
1mi = _____ ft
1 ft = ____ in.
1 yd = ____ ft 1lb = ____ oz
1cm = ____ mm
1kg = ____ g
8.1 Ratio and ProportionGoals: • Find and simplify the ratio of two numbers
• Use proportions to solve reallife problems
EQ: How do you set up ratios and proportions?
Vocabulary
Ratio of a to b: compares 2 quantities by divisionCan be written in 3 forms:
*both need to be in same units
*since it's a quotient, b = 0*simplify when possible
Proportion: equation that states 2 ratios are equal
Extremes:
Means:
Example 1: Simplifying RatiosSimplify the ratio.
a. b.
8.1 Ratio and Proportion
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Example 2: Using RatiosThe perimeter of rectangle JKLM is 56 centimeters. The ratio of JK:KL is 4:3. Find the length and width of the rectangle.
Try It1. The area of rectangle JKLM is 540 inches. The ratio of JK:KL is 3:5. Find the length and width of the rectangle.
Simplify the ratio.2. 3.
Example 3: Solving Proportions
Example 4: Solving a ProportionA scale model of a car is 10 inches long and 5 inches tall. The actual car is 60 inches tall. What is the length of the actual car?
10 in.
5 in.
"model car" "actual car"
60 in.
?
Try It Solve the proportion.
4. 5.
8.1 Ratio and Proportion
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March 28, 2016
SummaryEQ: How do you set up ratios and proportions?
8.1 Homeworkp.461#1046e, 5153, 5458e, 6875
*Ch.6 TestOut of 44
Needed 29+ for 65%