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Vocabulary
Lesson 1
Lesson 2
Lesson 3
Shapes of Algebra
100
Variables whose values are free to be changed in ways that are restricted by the context of the problem.
What is an independent variable
100
In planning a post-prom party, the senior class officers at Kennedy High School get a price quotation from a local athletic club. There will be a basic charge of $450 for the facility plus $10 per student for food and drinks. These are the costs for the following number of students: 0, 50, 100, 150, 200, 250, 300
450, 950, 1450, 1950, 2450, 2950, 3450
100
These are the facts that I need in order to predict population change
What are starting population, birth rate, death rate, or general growth rate
100
You have been asked to babysit during a local community meeting. You will get paid $10 plus $1.50 extra for each child that you babysit. This is how much you will earn for babysitting 12 children.
What is $28
100
My graph is a straight line
What is a linear function
200
The axis that contains the variable whose value changes in response to change in one or more related independent variable.
What is y-axis
200
The class officers decide to charge each student $15 to attend the party. What income will they get if 250 students buy tickets?
What is $800
200
If I deposit $5000 into a savings account at a 1.6% monthly interest rate, this is how much I will have at the end of the second month
What is $5161.28
200
I am the area of a triangle with a base of 4 cm. and a height of 13 cm.
What is 26 cm.
200
My graph is a parabola
What is quadratic function
300
next = now + c
What is the linear now-next rule
300
The amount of tickets that need to be sold in order to break even on the event. I = 5n - 450
What is 90 tickets
300
I am the rule that describes the following pattern of numbers: 5, 10, 20, 40, 80
What is Next = Now * 2, starting at 5
300
I am the type of graph that models the area of a square.
What is a parabola (quadratic function)
300
My graph has the shape of a snake
What is a cubic function
400
next = now * c
What is the exponential now-next rule
400
Pat competes in the 1600-meter run for his high school track team. Clearly the time it takes Pat to complete the run depends on his average running speed. If Pat's average speed is 4 meters per second, this is how long it will take him to complete the race.
What is 400 seconds
400
Your older sister has just been hired to work at an accounting firm in your town. Her beginning pay is $12 per hour. When she was hired she agreed that for the first five years she would be given a 5% raise at the end of each year. I am her hourly pay for the first 5 years (0, 1, 2, 3, 4, 5).
What is 12.60, 13.23, 13.89, 14.59, 15.32
400
I am the height (in meters) of a punted football after 1.75 seconds based on the rule h = -4.9t^2 + 15t +1, where t is the number of seconds since the football was punted
What is approximately 12.24 meters
400
I am a graph that increases or decreases slowly at first, but then more rapidly (half of a parabola)
What is an exponential or power function
500
The occurrence where you are neither making a profit nor paying any expenses.
What is breaking even
500
The Farm Bureau Feed Company tested a new weight-gain program for pigs. The company found that the weight of an average pig increased by 0.7 kg per day after going on the weight-gain program. Grunt is a pig that weighs 25 kg and is put on the weight-gain program. Using NOW to stand for Grunt's weight on any given day and NEXT to stand for his weight the following day, I am the rule that shows how to estimate Grunt's weight on any given day.
What is Next = Now + 0.7, starting at 25
500
The shelf life of milk is a function of the temperature at which the milk is stored. I am the type of function that this situation describes.
What is exponential (decreasing very rapid, but then slowing down)
500
Dirkson High School's seniors would like to take a class trip to Washington D.C. The tour company offers to arrange the entire trip for a set fee of $8000. This cost is to be shared equally by the seniors who go on the trip. If "n" seniors go on the trip, I am the type of graph that would model this situation.
What is a hyperbola (rational function)
500
The shape of my graph is a hyperbola (or split graph)
What is a rational function