Module 1: Thinking Proportionally
When two equivalent ratios are set equal to each other, they form a proportion. The quantities in the proportion are in a…
Proportional relationshi.
Part ?
——— = ——-
whole 100
Percent number
Decimals can be classified into two categories:
Terminating and non-terminating
Theoretical probability is…..
Desired outcomes/Number of possible outcomes
Lateral surface area of a triangular prism includes…..
The area of the lateral/rectangular faces
The following values represent a proportional relationship. (Hint: test all values y/x to see if they are the same)
X: 2, 8, 10, 16, 24
Y: 4, 16, 20, 32, 48
True
Suppose you want to leave a 20% tip on a restaurant bill of $50. The tip amount should be……
$10
-25 + 15 =
-10
Experimental probability is….
Number of times an event occurs/Total number of trials
Total surface area of a square pyramid includes……
The area of the base/square and the area of the lateral sides/triangular faces
Y is directly proportional to X. This is called the…
(Hint: y = kx)
Constant of proportionality
Simple interest is a fixed percent of an original amount of money called the principal. The formula for simple interest is…..
I = P x R x T
Use the distributive property to rewrite each expression in an equivalent form.
1. -4(3b - 5)
2. 22 - 4x/2
1. -12b + 20
2. 11 - 2x
A uniform probability model occurs when all probabilities in a model are…..
Equally likely to occur
Calculate the volume of a square pyramid with the area of the base being 12 meters and the height being 7.8 meters.
V = 93.6m3
A blue whale eats 8000 pounds of food a day. Let x represent the independent variable, the number of days, and let y represent the dependent quantity, the pounds of food eaten. Form an equation that represents this relationship. (Hint: y = mx + b)
Y = 8000x + 0 or Y = 8000x
A rectangle has a height of 20 feet and a width of 10 feet. Determine the width of a similar rectangle that has a width of 5. The scale factor is…
.5 or 1/2
A two-step equation requires two inverse operations, or applying two properties of equality. Solve the given equation: 5x + 15 = 40
5x + 15 = 40
step 1: subtract 15 from both sides
step 2: divide by coefficient of 5
Answer: X = 5
The probability that a spinner will land on green is 2/3. If you spin the spinner 75 times, you can setup and solve a proportion to predict the number of times the spinner will land on green.
50 times
Angle ABC is connected to angle DBF. Both angles share/intersect at point B to form supplementary angles. Angle ABC has a measure of 55 degrees. Calculate the measure of angle DBF.
125 degrees
A table of values can be created using an equation.
X (number of days): 0, 1, 4, 7
Y (pounds of food): 0, 8000, 32000, 56000
Y = 8000x
A scale is a ratio that compares two measures. When you multiply a measure by a scale to produce a reduced or enlarged measure, the scale is called a scale factor. Triangle A is an equilateral triangle with side measures of 4 inches. Triangle b is created with a scale factor of 2. Triangle b’s side measures are…..
8 inches
The unit rate of change is the amount that the dependent value changes for every one unit that the independent value changes.
Suppose the submarine Deep Flight I is going to do a dive starting at sea level, and is descending 500 feet every 2 minutes. The unit rate of change is…..
250 feet every 1 minute.
A spinner has four sections listed 1 through 4. A number cube has numbers listed 1 through 6. If you spin the spinner 2 times and roll the number cube 3 times, there are _______ possible outcomes.
1, 728
Calculate the lateral surface area of a square pyramid with a base measure of 5 inches, a slant height of 7 inches, and a height of 9 inches.
95in2