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 2nd, We Watched a Video Where Steve Hartman met eleven year old Samuel who has what unique talent?
A. He Can Sculpt Lookalike Statues
B. He Can Mimic Bird Sounds
C. He Can Juggle 15 Balls
D. He Can Shoot 3 Pointers Blindfolded
B. He Can Mimic Bird Sounds
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 March 21st, we watched Steve Hartman meet eighty-seven year old Jim who has what unusual passion?
A. Collect Car Keys
B. Attend Local Football Games
C. Make Birthday Phone Calls
D. Buy Coffee for Patients
C. Make Birthday Phone Calls
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
Worth 600 Points: On August 27th, we watched a kindness boomerang music video. What were two moments of kindness in 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
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 September 20th, Steve Hartman met eight-year old Emory Johnson who did what to raise more than $17,000 for her mother's tombstone?
A. Sell Cups of Lemonade
B. Organize a Charity Run
C. Put on a Concert
D. Collect Bottles & Cans
A. Sell Cups of Lemonade
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 December 13th, we watched Steve Hartman meet nine year old Ben who was going blind. What was something NOT on his Before I Go Blind Bucket-list?
A. See Chalk Under a Microscope
B. Go Inside an Apple Store
C. Visit the Northern Lights
D. Watch A Magic Show
D. Watch a Magic Show