Here you will find links to videos that I have created which will help you when completing your portfolio assignments or when studying for tests. I hope you find these helpful. The videos might also contain an opportunity to earn yourselves some "rewards", so please have a look! I will also be posting important information here like test dates and important concepts you should know.
None worth mentioning, but you will have a surprise quiz on the Law of Cosines some time soon!
The link below will show you how to identify the variables in a word problem and then graph the constraints to find the feasible region.
The link below will show you how to rearrange a given equation into y=mx+b form so that you can graph it. Although I said in the first video that I would give you a reward for doing the problem in that video, you will also have to click on the second link below and complete the problem in that video as well. : )
The following links will bring you to videos of me going over some of the concepts we have discussed in the Trigonometry chapter, including SOHCAHTOA, the law of Sines, and the law of Cosines.
Law of Cosines - http://www.youtube.com/watch?v=hq0QzfqPV6s
Law of Sines (finding a missing angle) - http://www.youtube.com/watch?v=OKli4J_9AUE
Another video for Law of Sines (finding a missing angle) - http://www.youtube.com/watch?v=kTfi4ghnSZQ
SOHCAHTOA - http://www.youtube.com/watch?v=6DTXH0pAAdc
You should know what the following terms mean. And yes, you will be tested on it!
≤ - this symbol means "less than or equal to". For example, 5 ≤ 7 means five is less than or equal to 7. When this symbol is used in an inequality equation, it means that we are referring to values below our inequality line.
≥ - this symbol means "greater than or equal to". For example, 8 ≥ 3 means eight is greater than or equal to 3. When this symbol is used in an inequality equation, it means that we are referring to values above our inequality line.
Inequality - a mathematical statement that refers to y values with reference to a given line on a graph.
For example, the inequality y ≥ 3x -4 refers to the values of y that are above the line 3x-4.
Independent Variable - This is the variable that changes and has an effect on the dependent variable. For example, if you were delivering newspapers, the number of newspapers you deliver would be the independent variable because it has an effect on the dependant variable (the money you earn).
Dependent Variable - This is the variable that changes due to a change in the independent variable. For example, if you were delivering newspapers, the amount of money you make would be the dependent variable because it "depends" on the amount of newspapers you sell.
Domain - the values for x in any relation. The first column in your table of values will be your domain. The domain is always your independent variable and it is graphed on the x-axis
Range - the values of y in any relation. The second column in your table of values will be your range. The range is always you dependent variable and it is graphed on the y-axis.
Slope - the steepness of your line. It is given as rise/run.
y-intercept - the point where the graph crosses the y-axis. x=0 at the y-intercept.
x-intercept - the point where the graph crosses the x-axis. y=0 at the x-intercept.
constraint - this is a limit or restriction that we place on a given variable. For example, if I were to tell you that I want no more than 5 apples, and we let the variable x represent apples, than the constraint would be x ≤ 5.
Feasible region - a shaded area of the graph which contains solutions which satisfy all constraints.
Optimal Solution - the solution that best meets the constraints in the problem and allows you to maximize or minimize a specific quantity. when we are finding the "maximum income" in a problem, we are essentially finding the optimal solution.
Linear Programming - a process that uses a number of linear inequalities, representing constraints, where the objective is to maximize or minimize a quantity.
System of Equations - a set of equations used to describe a situation for which there is often a common solution.
Solving a system of equations - finding the values of the variables that satisfy both equations in a system of equations. It involves graphing equations and finding the intersection point.
Making Decisions in Consumer Situations
Commission- this term refers to a percent of the sale price that is paid to the person who made a sale
Amortization Period - this term refers to the total amount of time it will take to pay back a loan to a loaning institution
Employment Insurance - this term refers to the money that one may be eligible to collect if they lost their job. It is also a deduction that you will see on your pay stub.
Principal - this term refers to the total amount of a loan that is lent to a borrower
Gross pay - this term refers to the income an employee earns before deductions
Fixed Expenses - this term refers to expenses that stay about the same each month
Net Pay - this term refers to the income an employee earns after all deduction have been subtracted from their gross pay
Interest - this term refers to an amount of money you are charged by a lending company for them having lent you a given amount of money. The dollar amount is given as a percentage of the total loan.
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