Variables/Graphing
Explicit/Recursive Rules
Types of Patterns
Random Fun
Random Math
100
Which variable corresponds to the input? (independent or dependent)
The independent variable.
100
What is a recursive rule?
The calculation of the next output depends on the calculation of the previous output.
100
What is the definition of a quadratic pattern?
The highest degree of the variable is 2.
100
What state is Ms. W from?
Minnesota.
100
What is the perimeter of a shape?
The distance around a 2-dimensional shape.
200
In the following scenario, identify the dependent variable: “The faster I drive my car, the less time it takes me to get to work”
The amount of time it takes me to get to work.
200
Write a recursive rule to describe the pattern in the following table: input output 1 5 2 10 3 15
Take the previous output and add 5.
200
Name one difference between a quadratic and a linear pattern.
graph of linear is a line, graph of quadratic is curved linear=constant rate of change, quadratic=changing rate of change etc.
200
Where does Ms. K go to college?
Bates College
200
Identify the slope in the following equation: y=6x+2
6.
300
On a graph, which variable goes on the y-axis?
The dependent variable.
300
Find an explicit rule to represent the pattern in the following table: x y 1 6 2 8 3 10
2x+4?
300
What type of pattern does the following table represent? input output 1 3 2 9 3 27
Exponential.
300
What is the name of our mentor?
Ms. Goldberg
300
Name one way you can prove that two equations are the same.
They give the same graph. They give the same table. If you simplify them both they are the same.
400
True or False: the independent variable is a constant.
False
400
Is the following rule recursive or explicit? “To get the output value, you take the input and multiply it by 4”
Explicit
400
Identify the following two patterns as linear, exponential, or quadratic: a) y=4^2 b)y=2^x+7
a)linear b)exponential
400
Name one song that we listened to while playing the Train Game.
Jump on it This is how we do it Cheerleader Ice Ice Baby Nobody Love
400
In Crossing the River, could we have an input of -1? Why or why not?
No, you can't have -1 people. It doesn't make sense in the context of the problem.
500
How can you find slope from looking at a graph?
It's the rise over run; use two points to find the slope; change in output divided by change in input..
500
For a linear pattern, what is the relationship between the recursive and explicit rules?
The number you add to the previous output in the recursive rule is the number you multiply the input by in the explicit rule.
500
Consider the equation y=f^k. If this is an exponential pattern, which letter represents the variable and which represents a constant.
k is the variable f is the constant
500
Go around the room and say everyones name.
You need to get everyones name to get the points!
500
Pick two ways to represent a problem and explain how they are related (how can you get from one to the other).
Use a table to make a graph. Use a table to make a rule. Use a diagram to make a table. Use a diagram to make a rule. etc...