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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 Zaption Video Tour for CS Inv 1 Additional Practice.2) 20 mins of MathXL for School Warm-Up:
1040
14
= 14
=_832
(10 + 8)
(32 + 40)=
TheSame!
10 cans40 cans 8 cans
32 cans
14
=1872
proportion
44
4128 1281281 1
1x x
x
X women
600,000 ÷ 12 = 50,000 50,000 x 5 = 250,000
12 men 600,000 men5 women 250,000 women
=
80 lbs. x tsp.
10 lbs. 1 tsp.
7 lbs.x tsp.
10 lbs. 1 tsp.
Bruiser Dust Ball
==
In table groups work on p. 9 - 10
8 tsp. .7 tsp.
x miles1200 cal.
5 miles500 cal.
=
12 milesx hours
8 miles2 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 = 65 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
10
2
210
4
𝒙𝟔
𝟏𝟎𝟏𝟓𝟎= .4
18 = 10xDivide each side by 101.8 = 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.
=930
5x30
Get a Common Denominator
Yes. =930
1860
x = 1.85x = 9
10x = 18
x = 1.8
Comparing & Scaling Socrative
EXIT TICKET #1
Homework: 1) Complete Notes on pg. 11-12 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.