SWBAT… calculate ratio and proportion problems

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Presentation transcript:

SWBAT… calculate ratio and proportion problems Tues, 9/6 SWBAT… calculate ratio and proportion problems Agenda WU (10 min) Notes on ratios & proportions – 2 slides (15 min) Practice problems – 3 examples (10 min) Work on HW#9 (10 min) WU: Solve each equation (show all your work!): 1. 2. 3. 4. HW#8-Ratio & Proportions

Definition: A ratio is a comparison of two numbers by division. Topic: Ratios and Proportions Definition: A ratio is a comparison of two numbers by division. Picture: The ratio of x to y can be expressed in the following ways: x to y, x:y, Examples: 3 to 7, 3:7,

Proportion (7)(48) = (42)(8) 336 = 336 Definition: A proportion is an equation that states two ratios are equal. Picture/Example: To determine whether pairs of ratios are equivalent, use cross products Or, cross multiply The cross products are equal, so the ratios do form a proportion and therefore the pair of ratios are equivalent. (7)(48) = (42)(8) 336 = 336 (Prob #2 on the HW#9)

Directions: Solve the proportion. Example 1: n(27) = 6(9) 27n = 54 n = 2 (Prob #4 on the HW#9)

Example 2: Write a proportion with one unknown variable. Solve for the unknown variable.

` Example 2: A restaurant made $545 in profit from selling 110 hamburgers. If they sold 53 hamburgers during lunch, what was their profit?

SWBAT… calculate ratio, proportions, time, and conversions Wed, 9/7 SWBAT… calculate ratio, proportions, time, and conversions Agenda Quiz (10 min) Time conversions (30 min) Quiz: Complete on a sheet of paper (collected) Solve each proportion: 1. 2. 3. Mr. V can run 10 miles in 1.5 hours, how long (in hours and minutes) will it take him to run a marathon (26 miles) at the same speed. HW#9-Time conversions

HW#9 Answers No Yes n = 2 u = 5 b = 3.75 t = 0.57