IC: Ratios/ProportionsHW: pg 174 #6,14,

19,22,27 (show work proving your answers!!)

Materials

Write the IC and HW in your planner.

Thursday, 1/10/19

•Homework• Pencil & Grading Pen• Slate, marker, eraser• Ch. 5 Folder

fwmath7.weebly.comUse p.175 #29 (nail

polish) as BW for the next

day after this

x318

(x) (x)

x6

3x

18

-5 -5

x321 3 3

x7

5x316-

3 3

Mrs. Sweet fills 1/3 of a water bottle in 1/6 of a

minute. How much time will it take her to fill the

whole bottle?

bottle

.min

3

16

1

=1

3

1

3

1

1

3

6

1

6

3

2

1

2

1minute

bottle

½ a minute

per bottle

If ratios are proportional they are equivalent. There are

different ways to prove proportionality.

• Reduce to see if the reduced fraction is equivalent

• Calculate to see if the unit rates are the same

• Change both fractions to be written as equivalent, but

non reduced fraction

10

12

50

60

5

6

5

6

22

5

66

151

÷ 5

÷ 54.4

1

1

÷ 15

÷ 154.4

1

20

25

40

50• 2

• 240

50

Ex. 1: Violet is making a batch of purple paint by

mixing red and blue paint in a vat. In the first batch the

ratio of red to blue is 3 gallons to 5 gallons. The next

batch she made she needed a lot more paint, so she

mixed a ratio of red to blue at 12 gallons to 20 gallons.

Would she end up with the same shade of purple? (In

other words…is it proportional?)

red

blue

1st batch

3 gal

5 gal

2nd batch

12 gal

20 gal=?

÷ 4

÷ 4 3

5

3 3

5 5

Yes, the 2nd batch would be the same shade of

purple…just more of it!

Ex. 2: Is 5 inches in 8 hours proportional to

9 inches in 12 hours?

inches

hours

1st

5

8

2nd

9

12=?

5 3

8 4

÷ 3

÷ 3 3

4

Ex. 3: A scale drawing represents the same geometric

shape in a different size. If an object has been scaled

properly the sides remain proportional. Are the sides

of the two rectangles proportional? Was the scale

drawing done correctly?

3 m

7 m

0.75 cm1.75 cm

Actual Scale

height

width

Actual

3

7

Scale

0.75

1.75=?

17

31

43.0

175.1

75.01

43.0

Ex. 3: A scale drawing represents the same geometric

shape in a different size. If an object has been scaled

properly the sides remain proportional. Are the sides

of the two triangles proportional? Was the scale

drawing done correctly?

3 cm

4 cm

7.5 m

10 m

base

height

Big

10

5.7

Small

4

3=?

110

5.7

14

3

1

75.01

75.0

A company is comparing two different cars for their

employees to drive. Use the following chart to see if the

miles per gallon (mpg) is proportional for each of the

cars.

Car Miles on one tank Tank size (gallons)

Chevy Malibu 2016 351 13

Ford Fusion 2016 396 16.5

gallon

miles

Malibu

13

351

Ford Fusion

5.16

396=?

113

351

15.16

396

1

27

1

24

20

8

40

16

Show 3 different ways to prove that these two

fractions are proportional.

Way 1:20

8

Way 2:

Way 3:

2

2 40

16

20

8 4

4 5

2

40

16 8

8 5

2

120

8

140

16

1

4.0

1

4.0