1. 18-20,22,27,29 (show work proving your answers!!)
Wednesday, 1/11/17
Write the IC and HW in your planner.
IC: Ratios/Proportions
HW: 5.2 pg 174 #6,14,
18-20,22,27, (show work proving your answers!!)
Materials
fwmath7.weebly.com
Today’s question:
What was Mrs. Sweet’s favorite memory from Winter Break 2016?
Homework
Pencil & Grading Pen
Slate, marker, eraser
Ch. 5 Folder 1 1 1 1

2. Bellwork P V V P
(x) (x) -5 -5 3 3

3. Bellwork minute = bottle 1 ½ a minute per bottle
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?
minute = 1
bottle
½ a minute per bottle

4. Proportional Proportional Proportional
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
Proportional
÷ 15
÷ 5
Proportional
÷ 5
÷ 15
• 2
Proportional
• 2

5. 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?)
1st batch
2nd batch ?
÷ 4 =
÷ 4
Proportional
Yes, the 2nd batch would be the same shade of purple…just more of it!

6. This is Violet’s house that she painted with her lovely purple paint!

7. Ex. 2: Is 5 inches in 8 hours proportional to 9 inches in 12 hours?

8. The San Francisco area got 5 inches of rain overnight on January 4th, This is from a town just north of San Francisco.

9. Ex. 2: Is 5 inches in 8 hours proportional to 9 inches in 12 hours?
1st
2nd ?
÷ 3 =
÷ 3
NO!
Not Proportional

10. 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?
Scale
Actual
0.75 cm
3 m
1.75 cm
Actual
Scale
7 m ?
Yes! Proportional =

11. Yes, the drawing is correct.
Slates Please!
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?
Yes, the drawing is correct.
7.5 m
3 cm
4 cm
10 m
Big
Small
Yes! Proportional ? =

12. Slates Please! NO! Not Proportional ? = 351 13 396 16.5 Malibu
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
Malibu
Ford Fusion
NO!
Not Proportional ? =

13. Closure
Show 3 different ways to prove that these two fractions are proportional.
Way 1:
Way 2:
Way 3: