Comparing & Scaling Unit: 1.4 Comparing Ratios Learning Target: I can solve proportions by scaling ratios. Homework: 1) Complete Notes on pg. 11-12 for.

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Presentation transcript:

Comparing & Scaling Unit: 1.4 Comparing Ratios Learning Target: I can solve proportions by scaling ratios. Homework: 1) Complete Notes on pg for Zaption Video Tour for CS Inv 1 Additional Practice. 2) 20 mins of MathXL for School Warm-Up: = = _8 32 = The Same! 10 cans 40 cans8 cans 32 cans =

proportion x x x

X women 600,000 ÷ 12 = 50,000 50,000 x 5 = 250, men 600,000 men 5 women 250,000 women =

80 lbs. x tsp. 10 lbs. 1 tsp. 7lbs. x tsp. 10 lbs. 1 tsp. BruiserDust Ball == In table groups work on p tsp..7 tsp.

x miles 1200 cal. 5 miles 500 cal. = 12 miles x hours 8 miles 2 hours = B. Jogging 5 miles burns about 500 calories. How many miles does Tyler need to jog to burn off the 1,200 calorie lunch he ate? Proportion: C. Tyler jogs about 8 miles in 2 hours. How long will it take him to jog 12 miles? Proportion: 12 miles 3 hours

Hint: Use adjacent angles: 8 to 5 is proportional to 48 to h D. The triangles in this picture are similar. Find the height of the tree. Proportion: 48 ÷ 8 = 6 5 x 6 = 30 8 = 48 5 h

E. Solve these proportions for the variable x. Use the reasoning you applied in the earlier problems. x = 20

=.4

18 = 10x Divide each side by = x Get a Common Denominator

2. Kevin thinks Nic’s idea is great, but he used 30 as a common denominator. Show what Kevin’s version of the proportion would look like. Does Kevin’s scaled up proportion give the same answer as Nic’s? Explain your reasoning. = x 30 Get a Common Denominator Yes. = x = 1.8 5x = 9 10x = 18 x = 1.8

Comparing & Scaling Socrative EXIT TICKET #1 Homework: 1) Complete Notes on pg for Zaption Video Tour for CS Inv 1 Additional Practice. 2) 20 mins of MathXL for School Did I meet my Learning Target? I can solve proportions by scaling ratios.