Vocabulary
A comparison of two numbers that shows how many times one number is compared to another.
What is a ratio?
Find an equivalent ratio for 5: 17
10: 34, depends on the scale factor you chose.
A car travels 50 miles using 2 gallons of gas. What is the constant of proportionality kk for miles per gallon?
Constant k=25 miles per gallon.
What is the order of ordered pairs when using a graph?
What is (x,y)?
Off the dome, in 10 seconds give me a two ratios proportional to each other.
Whatever they say.
In a ratio, this is one of the numbers being compared. Each number in a ratio is a term
What is a term?
Simplify the ratio 63:84
What is 3:4?
A recipe requires 4 cups of flour to make 12 cookies. What is the constant of proportionality kk for cups of flour per cookie?
Constant k=3 cups of flour per cookie.
What is the horizontal line on a graph, and what is the vertical line?
horizontal = x
vertical = y
Define proportional relationships/ proportionality in your own words or with an example.
Proportional relationship: in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality
Proportionality: indicates equality (equal) between 2 or more ratios.
Ex. 1:2 and 2:4
(0, 0) on a graph. It means that when one value is zero, the other is also zero
What is the origin?
Are the ratios 5:9 and 27 : 15 equivalent?
No, they are not equivalent.
A car travels 120 miles in 3 hours. What is the constant of proportionality kk for miles per hour?
Constant k = 40 miles per hour.
How would I go about quadrupling this recipe:
Give me the answer and steps
2 cups of flour
4 tbsp butter
3 eggs
1/4 cup sugar
8 cups of flour
16 tbsp butter
12 eggs
1 cup sugar
This is a number that shows how two things change in a proportional relationship. For example, if you double one number, the other doubles too. The constant of proportionality is what you multiply by to go from one value to the other.
What is the constant of proportionality?
The process of changing the value of one form to another for example inches to millimeters, or liters to gallons
What is conversion/converting.
Find an equivalent ratio for 45:75
3:5 or 45 x (cop) : 75 x (cop)
A car can travel 240 miles using 6 gallons of gas. If the gas consumption remains the same, what is the constant of proportionality kk for miles per gallon?
Constant k = 40 miles per gallon.
What is the scale factor of the original recipe to the new recipe?
Original:
1/4 cup sugar
1/3 cup vanilla
1/6 cup flour
New :
1 and 1/2 cup sugar
2 cup vanilla
1 cup flour
What is a scale factor of 6?
Without looking, give me the equation for proportional relationships. And say which variable represents the constant
y = kx
A rate that compares a quantity to one unit of another quantity. It tells you how much of something happens in 1 unit of time, distance, etc.
What is unit rate?
Simplify 56:98
What is 4:7
A caterer prepares 60 sandwiches using 5 loaves of bread. If they maintain the same ratio, how many sandwiches can they prepare with 12 loaves of bread? What is the constant k?
Using y=kx, where y is the number of sandwiches and x is the number of loaves:
60=kâ
5
k=60/5=12
For 12 loaves:
y=12â
12=144 sandwiches.
Constant k=12 sandwiches per loaf.
This is a type of 'thinking.' Ratios tells us how much of one thing there is in relation to another thing. For example, 'For every 2 apples we have 3 bananas'.
what is Ratio Reasoning?
Try your best at answering our unit question!
How can you determine proportionality between 2 varying quantities. Think of strategies, and ways you've solved ratio proportion problems in class
As long as they gave answer, they get the points!