Ratios
Unit Rates
Proportions
Proportional Relationships
COP
100
What are the three ways to write a ratio?
In words (a to b); with a colon (a:b); as a fraction (a/b)
100
Vocabulary Word: A comparison of two numbers or quantities with different units.
Rate
100
What is x?
9
100
When looking at a graph, what two things help you determine if the graph is proportional?
The graph has to be a straight line AND pass through the origin (0, 0).
100
How do you calculate the constant of proportionality?
Find the unit rate by dividing y by x (y/x).
200
A toddler has a set of colored blocks. She has 6 red blocks, 4 orange blocks, 8 green blocks and 5 blue blocks. What is the ratio of green to red blocks?
4:3
200
A McDonalds employee earns $120 after working 15 hours. What is the employee's unit rate?
$8 per hour
200
No
200
Does this graph represent a proportional relationship? Why or why not?
No, although it's a straight line, it does not pass through the origin (0, 0).
200
What is the constant of proportionality represented by this graph?
5
300
A toddler has a set of colored blocks. She has 6 red blocks, 4 orange blocks, 8 green blocks and 5 blue blocks. What is the ratio of red and green blocks to orange blocks?
7:2
300
What is a unit rate?
A special type of ratio in which the denominator is always one.
300
How many points will a student need to earn on a 30 point test to get a score of 90%?
27
300
How do you determine if a table represents a proportional relationship?
Calculate the unit rate for each ratio. If the unit rates are the same, the relationship is proportional.
300
y = (1/5)x
What is the constant of proportionality in this equation?
1/5
400
What is the ratio of stars to green circles?
1:1
400
What point on this graph represents the unit rate?
(1, 5)
400
It's going to cost $68 for 12 square feet of flooring. How much is it going to cost for 16 square feet of flooring?
$90.67
400
Does this table represent a proportional relationship? Why or why not?
No, because the first three ratios have a unit rate of 3/2, but the last ratio has a unit rate of 7/6.
400
What is the equation represented by this table?
y = 12x
500
What is the ratio of circles to shapes?
11:15
500
Grant mows 1/2 acre in 2/5 hour. How many acres does Grant mow per hour?
1 1/4 or 1.25 acres per hour
500
If you have $362 to spend, how many items can you purchase?
72 items
500
What equation represents a proportional relationship?
y = kx
500
What is the constant of proportionality represented by this table?
The table is not proportional, so you cannot have a COP. The first four unit rates are 13, but 146/12 simplifies to 12.1666666666.