Avatar medium.jpg Mr K

Student and Teacher of Mathematics, Physics, Environmental Science, & Eclectic Reflections

CMAVTS Applied Algebra II

Applied Algebra II

On this page, we will post power-points that cover the topics we discuss in class. These will be posted here as we reach them.

In class, we discussed how daily participation should be judged. Based on student suggestions and a few points I found from other sources, this is the list we will use:

Thinking:

Questions & Answers while Discussing Topic

Comparing Arguments with other Students

Taking Notes and Showing Work

Collaborating and Communicating

Showing work from each person

Made sure everyone in the group understood AND could explain the topic

Stayed Focused

Justification

Work to prove correct.

Show all the details

Able to give reasons

Representation

Showed all work with clear labeling and organization.

Understood the question clearly and showed it with diagrams

Show multiple ways to the result

Our work is clear enough for any person to understand it.

Chapter 1 - Numbers and Properties

Set of Real Numbers

http://pdesas.org//EduPortal/Home/viewupload/660076

Operations on Real Numbers

http://pdesas.org//EduPortal/Home/viewupload/660077

Variables and Expressions

http://pdesas.org//EduPortal/Home/viewupload/660078

Properties of Real Numbers

http://pdesas.org//EduPortal/Home/viewupload/660079

Solving Equations in One Variable

http://pdesas.org//EduPortal/Home/viewupload/661394

Notes on Chapter 1: If I were taking this course myself, this is what my notes might look like. Notice that I suggest a 2-page layout with the details on the right page and drawings, sketches, etc on the left.

http://pdesas.org//EduPortal/Home/viewupload/661508

DO NOT JUST PRINT THESE NOTES !!! You must copy them by hand. I'll be looking for this when I do notebook check.

Chapter 2 - Equations and Inequalities

2.1 Literal Equations - When we are not looking of a single answer but for a rule we can use to solve for lots of possible answers. Like P = 2L + 2W is the rule for finding the Perimeter if we have the Length and the Width. There is not only one possible answer. For each length there are many answers that depend also on the width.

http://pdesas.org//EduPortal/Home/viewupload/664741

2.2 Solving Inequalities - Often, we are interested in a range of possible answers. If my car gets between 34 and 38 miles per gallon, how far can I go on 9 gallons of fuel? I'm interested in the shortest to the longest possible trips. Greater than one number but Less than another. This is typical of Inequalities.

http://pdesas.org//EduPortal/Home/viewupload/662652

2.4 Compound Inequalities - When we have more than one fact we are considering at the same time.

http://pdesas.org//EduPortal/Home/viewupload/662653

2.6 Absolute Value - Distance is an example of something we always measure as a positive value. When I drive to school, my car registers positive distance. When I drive back home in the opposite direction, my car still registers positive distance. Absolute value always gives us a positive value but sometimes what happens inside can be a bit strange.

http://pdesas.org//EduPortal/Home/viewupload/662654

2.7 Absolute Value Inequalities

http://pdesas.org//EduPortal/Home/viewupload/662655

Chapter 2 Notes

http://pdesas.org//EduPortal/Home/viewupload/662656

Remember: You can copy my notes by hand but you cannot print a copy and put it in your notebook. Part of the process of learning comes when you do the writing yourself.

Chapter 3 - Functions and Graphs

3.1 The Coordinate Plane

http://pdesas.org//EduPortal/Home/viewupload/667381

3.2 Relations and Functins

http://pdesas.org//EduPortal/Home/viewupload/667382

3.3 Graphing Equations

http://pdesas.org//EduPortal/Home/viewupload/667383

3.4 Composite Functions

http://pdesas.org//EduPortal/Home/viewupload/667384

3.5 Inverse Functions

http://pdesas.org//EduPortal/Home/viewupload/667385

3.6 Slope

http://pdesas.org//EduPortal/Home/viewupload/667386

3.7 Parallel and Perpendicular Lines

http://pdesas.org//EduPortal/Home/viewupload/667387

3.8 Equations for a Line

http://pdesas.org//EduPortal/Home/viewupload/667388

Chapter 4 - Systems of Equations - Finding the solution that satisfies TWO equations at the same time !

4.1 Direct Variation - All of these equations are straight lines AND they all go through the origin (0,0).

http://pdesas.org//EduPortal/Home/viewupload/670842

4.3 Graphing - One way to solve two equations is to graph them both on the same set of axes and see where the lines cross. There are only three possiblilties: They cross in one place (the solution), The lines are parallel and never cross (no solution), or The equations both represent the SAME line (every point on the line is a solution).

http://pdesas.org//EduPortal/Home/viewupload/670843

4.4 The Addition Method - When we use the graphing method, it can be hard to read the exact location of the solution. The Addition Method is a simple process that removes one of the two variable letters from the system so we can solve an easy one-variable. Once we have that variable pinned down, we substitute to find the other.

http://pdesas.org//EduPortal/Home/viewupload/670844

4.7 Linear Inequalities - What if we know that one quantity is definitely greater than another? We can use this system approach to find all the solutions that satisfy two or more Inequalities. This section has two powerpoints:

Part A http://pdesas.org//EduPortal/Home/viewupload/670845

Part B http://pdesas.org//EduPortal/Home/viewupload/670846

Chapter 4 Review http://pdesas.org//EduPortal/Home/viewupload/670848

--Chapter 5 is not covered in this course

Chapter 6 - Polynomials

6.1 - Exponents and Monomials

http://pdesas.org//EduPortal/Home/viewupload/675273

6.2 - Adding and Subtracting Polynomials

http://pdesas.org//EduPortal/Home/viewupload/675436

6.3 - Multiplying Polynomials

http://pdesas.org//EduPortal/Home/viewupload/675437

6.4 - Factoring Polynomials