Order of operations
What does PEMDAS stand for?
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Define independent variable
The variable that is changed or controlled. The independent variable is not effected by other variables. We control the independent variable
Fill in the blank:
Domain represents all _______ values
Input
Name at least two key features of a graph
1. Title
2. Independent and dependent variables (labeled axis)
3. Scale
4. Data points
5. Line (connect the dots)
Using order of operations, what should your first step be in solving the equation below? Why?:
2 - 3(4) + 6
3(4) because multiplication comes before addition and subtraction
Determine which variable in the scenario below is the dependent variable:
W = The amount of water you drink
H = How hydrated you are
H = how hydrated you are
This is the dependent variable because it is dependent on the amount of water you drink. You will be more hydrated if you drink more water
True of false:
Domain relates to the independent variable and the range relates to the dependent variable
True
Name 1 reason why is it important to be able to analyze data in a graph?
1. To be able to draw conclusions for yourself
2. To know when data is being manipulated
3. To be able to make your own decisions about a situation
Using order of operations, solve the equation below:
14(2) - 3(4 +1) =
13
True of False: The independent variable is represented on the Y-axis
False - The independent variable is represented by x and is on the x-axis
Determine the domain of the equation below and explain why:
Y = 2X
All real numbers because you can plug any value in for x.
Since there is no scenario, all numbers can be included in the domain
How can a graph be manipulated to convey a different message?
(which key feature of a graph)
The scale
Using order of operations solve the equation below - show all of your work
30 - 42 + 6(3 - 2)
30 - 16 + 6(3-2)
30 - 16 + 6(1)
30 - 16 + 6
20
Sanai and Natasha decide to bring ice cream sandwiches to school on Friday. They know that the amount of ice cream they need depends on the number of students who come to school on Friday.
Identify the independent and dependent variables
Independent variable: Number of students in school on Friday
Dependent variable: Number of ice cream sandwiches Sanai and Natasha need to bring
Find the domain of the scenario below:
Every KDCA student needs at least 1 uniform shirt and every shirt costs $10.
C = total cost of KDCA t-shirts per student
N = the number of shirts each student owns
C = 10N
The domain is all whole numbers greater than 1 because every student needs at least 1 shirt and you cannot purchase a negative number of shirts or a fraction of a shirt
Why is a title an important feature of a graph?
It tells the reader what the graph is about. The title is like a movie trailer for a movie, it gives you a quick synthesis of the information in the graph.