Proportional Relationships
C.O.P. stands for what?
Constant of Proportionality
A circle has a radius of 12 feet. What is the diameter of this circle?
24 feet
-4 (-3)
12
Combine Like Terms
5x + 4 - 2x + 6
3x + 10
On May 15th, we watched a video about two friends who do what common greeting during their weekly walks?
A. High Five
B. Handshake
C. Salute
D. Fist Pump
A. High Five
A graph of a proportional relationship always starts where?
The origin
What is 15% of 40
6
A scale factor of 1/2 does what to the side lengths of a figure?
Makes Side Lengths Smaller
Distribute
3(x - 4)
3x - 12
On April 17th, we watched a video where an 102 year old man has taken up which art-related hobby?
A. Painting
B. Pottery
C. Graffiti
D. Drawing
B. Pottery
Write an equation for a proportional relationship that has a C.O.P. of 3
y = 3x
A hat that costs $20 is on sale for 12% off. What is the new cost of the hat?
$17.60
3 + - 14
-14
Solve
3x - 2 = 31
x = 11
On January 16th, we watched a video about a man whose life was saved after he didn't show up to what type of business?
A. Post Office
B. Bowling Alley
C. Restaurant
D. Hair Salon
C. Restaurant/Diner
True or False: There exists a proportional relationship between a circle's diameter and its circumference.
True (Pi is the C.O.P)
What is the area of a circle with a radius of 4 cm?
50.27 cm2
Find the mean, median, and mode of this data set:
9, 18, 17, 21, 13, 23, 18
Mean: 17
Median: 18
Mode: 18
Solve
4(x+2) = 20
x = 3
On October 31st, we watched a video about a man who decorated his lawn with what to help cheer on a stranger fighting cancer?
Skeletons with Signs
x y
5 35
8 56
10 70
Write an equation for this relationship
Bonus: Write a second equation to represent this relationship
y = 7x or x = 1/7y
A meal at a restaurant costs $84. There is a 7% tax applied to meals. After the tax is applied, Shannon wants to leave a 15% tip. What is the total cost of the bill?
$103.32
(5 * -6) - (-17)
-13
Solve
-4x + 2(x+5) = 26
x = -8
On August 28th, we watched a kindness boomerang video. Name three acts of kindness we saw during this video?
Check in on a kid who fell off a skateboard, help an old lady cross the road, pay for a strangers parking meter, return a dropped wallet, help carry a man's luggage, buy a homeless man a hot dog, return a lost phone, give a stranger a bouquet of flowers, leave an exceptionally generous tip, or give a construction worker a glass of water