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.