SOLVE Polynomial Equations

Factoring by Grouping

Factoring Cubes

Algebra 1 Review - How to Find the GCF

Laws of Exponents - When to SUBTRACT

Laws of Exponents - When to MULTIPLY

Laws of Exponents -When to ADD

What are you doing to make a difference??

Do colleges want well-rounded students or those with a passion?

Angel B. Perez

Director of Admission
Pitzer College, CA
Many students feel that they have to compile a very long list of activities in order to get into college, but as I read applications, I look for trends and more importantly, passion. You can tell when a student has joined 15 clubs and organizations in high school just to make the extra curricular page of the college application look long. Colleges are more interested in the students passion, the authenticity of the students involvement, and the impact they’ve had in their communities, teams, or organizations. Sometimes that means they’ve only done 1 or 2 things, but they’ve been involved in a way that has fundamentally impacted those organizations. That to me, is more important than being involved in 20 clubs and not having impacted any.

Eileen Brangan Mell
Director of Public Relations
Worcester Polytechnic Institute, MA
We are always suspicious of students with laundry lists of extracurricular activities because it suggests that the student is not developing an in-depth engagement with any one activity. Also, it suggests a level of frenetic busy-ness that may be more about building a college resume than about genuine interests on the part of the student. That said, we do encourage exploration on the part of young people and recognize that student interests can change rapidly. At a recent national conference, I heard the college counselor at a highly respected private school bemoaning the fact that many students squander their high school years "majoring in College X." In other words, students get so caught up in making a good impression, that they lose sight of the real goal, which is to develop their talents and their interests and to have fun. Who knows, with an attitude like that, they may even get admitted to college.

Believe

Is this RELATION a FUNCTION????

Rich: Make students accountable for more than grades, test scores

By Dorothy Rich
We talk about teacher and parent accountability. But what about the accountability that students have for their own education? Adults can teach our students and teach and teach them, but it’s the children who have to do the learning.

When we ask what students are accountable for, answers include, "get the top test scores," "make all A’s," " get into a good college." And those messages begin in the elementary grades.

This is too narrow a version of education: It’s choking the learning life out of a lot of kids.

If we really cared about education, we would expand our thinking about the educational process. No matter how good our classrooms are, students have to want to learn and to take responsibility for their learning.

Is this RELATION a FUNCTION????

Functions - Vertical Line Test

Graphing a linear inequality.

To Graph a SYSTEM OF INEQUALITIES:

1. Graph each inequality separately on the SAME axes.
2. Rearrange the inequalities so that they are in slope-intercept form (y = mx +b).
3. If the inequality is <> a dotted line will be used but if it is ≤ or ≥ a solid line is used.
4. Choose a test point to determine which side of the line needs to be shaded.
5. The solution to the system will be the area where the shadings from each inequality overlaps the others.

Word Problems - Solve Systems of Equations

The Michael Jordan poster in the front of my classroom comes to life!

Failure is a part of life....

Solve Systems of Equations by Cramer's Rule (LAST ONE)

Solve Systems of Equations by ELIMINATION

Solve Systems of Equations by SUBSTITUTION

Solve Systems of Equations by GRAPHING

You can also use a graphing calculator to determine an approximation of where the lines will intersect. We will be going over this in class.

Point-Slope Form Example

Using Slope and y-Intercept to Graph Lines

Given two points (x₁, y₁) and (x₂, y₂), the formula for the slope of the straight line going through these two points is:

...where the subscripts merely indicate that you have a "first" point (whose coordinates are subscripted with a "1") and a "second" point (whose coordinates are subscripted with a "2"). The subscripts indicate nothing more than the fact that you have two points to work with. Note that the point you pick as the "first" one is irrelevant; if you pick the other point to be "first", then you get the same value for the slope:

The formula for slope is sometimes referred to as "rise over run", because the fraction consists of the "rise" (the change in y) divided by the "run" (the change in x). If you've ever done roofing, built a staircase, graded landscaping, or installed gutters or outflow piping, you've probably encountered this "rise over run" concept.

Pictures can be helpful, so let's look at these two points.

We have (–3, –6) is on the line and so is the point (0, –4). Now that we have two points on the line, we can find the slope of that line from the slope formula:

Look at these 2 points on a graph

Stair-stepping up from the first point to the second point.

Graphing using the y-intercept and slope

Give me YOUR BEST!!!! YOUR VERY BEST!! KEEP GOING!!

Website for Solving Absolute Value Inequalities

http://algebralab.net/lessons/lesson.aspx?file=Algebra_AbsoluteValueInequalities.xml

Solve Absolute Value Inequalities

Compound Inequalities

AND Compound Inequalities

Compound inequalities that contain the word and are true only if both inequalities are true. The graph of a compound inequality containing and is the intersection of the graphs of the two inequalities that make up the compound inequality. To find the intersection, determine where the two graphs overlap.

OR Compound Inequalities

Compound inequalities that contain the word or are true if one or more of the inequalities is true. The graph is the union of the graphs of the two inequalities that make up the compound inequality.

Solving Compound Inequalities (AND)

Solving Compound Inequalities (OR)

Inequality RULE

When multiplying or dividing both sides of an inequality by a negative number, you must reverse the inequality symbol.

Solving Inequalities

Example: Solve absolute value equations

Solve | 2x – 3 | – 4 = 3

First, I'll isolate the absolute-value part; that is, I'll get the absolute-value expression by itself on one side of the "equals" sign, with everything else on the other side:

| 2x – 3 | – 4 = 3
| 2x – 3 | = 7

Now I'll clear the absolute-value bars by splitting the equation into its two cases, one for each sign:

(2x – 3) = 7 or –(2x – 3) = 7
2x – 3 = 7 or –2x + 3 = 7
2x = 10 or –2x = 4
x = 5 or x = –2

So the solution is x = –2, 5.

Algebra 2: Solving Absolute Value Equation

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Can you be creative in solving a math problem