Math 154 (Spring 2015)

Brendan Dilloughery

Office Hours: TTh 5:15-6:00 in room 834 (STEM Center) on the main Aptos Campus

*(my office hours are the 45 minutes before every regularly scheduled class period)*

Email: brendan.dilloughery@cabrillo.edu

** All Class Resources Can Now Be Found Here **

Homework Assignments for Blitzer's Introductory Algebra (5th edition)

Homework Assignments for Blitzer's Introductory Algebra (6th edition)

Previous Tests and Answer Keys

Instructions for making Test Corrections (These can earn up to 10 points back onto a test grade)

Lectures Notes

These are far from perfect, but some students asked for these. These are usually just made for my own eyes so are sometimes scratched out or include notes in the margins for next year/future classes.

__Chapter 1__

Section 1.1, Section 1.2, Section 1.3, Section 1.4, Section 1.5 (no notes available), Section 1.6 (no notes available), Section 1.7, Section 1.8

__Chapter 2__

Section 2.1, Section 2.2 (incomplete), Section 2.3 (add no solution/all real numbers), Section 2.4, Section 2.5, Section 2.6, Section 2.7

__Chapter 3__

Section 3.1, Section 3.2, Section 3.3, Section 3.4, Section 3.5

__Chapter 4__

__Chapter 5__

Section 5.1, Section 5.2, Section 5.3, Section 5.5, Section 5.6 (no notes, but here are two helpful links: link #1 is a video, link #2 is an explanation, link #3 has a few examples)

__Chapter 6__

Section 6.1, Section 6.2, Section 6.3, Section 6.4, Section 6.5, Section 6.6

__Chapter 7__

Section 7.1, Section 7.2, Section 7.3, Section 7.4, Section 7.6, Section 7.7

__Chapter 8__

Section 8.1, Section 8.2, Section 8.3, Section 8.4, Section 8.5

__Chapter 9__

Test Corrections

Corrections are an important part of the test-taking process. In math, like in most subjects, we learn from making mistakes. Without looking back at our mistakes, we are doomed to repeat them. All of the material from the previous tests will show up again, either to be used in class to build upon or solely on the final exam. It is vital that you review each of the places where you erred, so that the next time you work on a similar problem you won’t make the same mistake!

Homework Assignments

Listed below are the book sections assigned each class period. ** Homework is due every Tuesday**. Instructions on how to complete homework assignments, as well as the grading policy can be found in the Class Syllabus. The exact problems to complete in each section can be found above in the "Homework Assignments ..." links.

**1st Class (Tuesday January 27, 2015)**

- General introductions
- Section 1.1 - Introduction to Algebra: Variables & Mathematical Models - Khan Academy Videos & Practice Problems
- Section 1.2 - Fractions in Algebra- Khan Academy Videos & Practice Problems
- Section 1.3 - The Real Numbers - Khan Academy Videos & Practice Problems

**2nd Class (Thursday January 29, 2015)**

- Section 1.4 - Basic Rules of Algebra - Khan Academy Videos & Practice Problems
- Section 1.5 - Addition of Real Numbers - Khan Academy Videos & Practice Problems
- Section 1.6 - Subtraction of Real Numbers - Khan Academy Videos & Practice Problems

**3rd Class** (Tuesday February 3, 2015) --- First Homework Collected (Sections 1.1-1.6)

- Section 1.7 - Multiplication and Division of Real Numbers - Khan Academy Videos & Practice Problems
- Section 1.8 - Exponents and Order of Operations - Khan Academy Videos & Practice Problems
- Section 2.1 - Solving One Step Linear Equations with Addition and Subtraction (a.k.a. The Addition Property of Equality) - Khan Academy Videos & Practice Problems
- Section 2.2 - Solving One Step Linear Equations with Multiplication and Division (a.k.a. The Multiplication Property of Equality) - Khan Academy Videos & Practice Problems

**4th Class (Thursday February 5, 2015)**

- Section 2.3 - Solving Multiple Step Linear Equations (a.k.a. Solving Linear Equations) - Khan Academy Videos & Practice Problems
- Section 2.4 - Formulas and Percents - Khan Academy Videos & Practice Problems

**5th Class** (Tuesday February 10, 2015) --- Second Homework Collected (Sections 1.7-1.8, 2.1-2.4)

- Section 2.5 - An Introduction to Problem Solving - Khan Academy Videos & Practice Problems in 4 Separate Parts - Part 1, Part 2, Part 3, and Part 4
- Section 2.6 - Problem Solving in Geometry - Khan Academy practice is the same as above but using the area of a rectangle is A=LW and perimeter of basic shapes. There is no specific lunch.

**6th Class (Thursday February 12, 2015)**

- Section 2.7 - Solving Linear Inequalities - Khan Academy Videos & Practice Problems
- Short Review for Test #1

**7th Class** (Tuesday February 17, 2015) --- Third Homework Collected (Sections 2.5-2.7)

- Sections 3.1 (not on test #1) - Graphing Linear Equations (t-charts) - Khan Academy Videos & Practice Problems

**8th Class (Thursday February 19, 2015)**

- Test #1 - Covering Chapter 1 and Chapter 2 (more information below)
- Section 3.1 (continued)
- Section 3.2 - Lines and Intercepts - Khan Academy Videos & Practice Problems

**9th Class** (Tuesday February 24, 2015) --- Fourth Homework Collected (Section 3.1)

- Section 3.2 (continued)
- Section 3.3 - Slope - Khan Academy Videos & Practice Problems

**10th Class (Thursday February 26, 2015)**

- Section 3.4 - Slope-Intercept Form - Khan Academy Videos & Practice Problems
- Section 3.5 - Point-Slope Form - Khan Academy Videos & Practice Problems

**11th Class** (Tuesday March 3, 2015) --- Fifth Homework Collected (Sections 3.2-3.4)

- Section 3.5 (continued)
- Section 4.1 - Graphing Systems of Equations - Khan Academy Videos & Practice Problems

**12th Class (Thursday March 5, 2015)**

- Test #2 Review
- Section 5.1 - Adding and Subtracting Polynomials - Khan Academy Videos & Practice Problems
- Section 5.2 - Multiplying Polynomials - Binomials Only: Khan Academy Videos & Practice Problems - All Other: Khan Academy Videos & Practice Problems

**13th Class** (Tuesday March 10, 2015) --- Sixth Homework Collected (Sections 3.5,4.1,5.1)

- Test #2 - Covering Chapter 3 and Chapter 4 (more information below)
- Section 5.2 - Multiplying polynomials (continued)
- Section 5.3 - Special products - Khan Academy Videos & Practice Problems

**14th Class (Thursday March 12, 2015)**

**------ NO CLASS ------ Class cancelled due to the birth of my son ------**

**15th Class** (Tuesday March 17, 2015) --- Seventh Homework Collected (Sections 5.2-5.3)

- Section 5.5 - Dividing polynomials by monomials - Khan Academy Video Only
- Section 5.6 - Dividing polynomials by binomials - Khan Academy Videos & Practice Problems

**16th Class (Thursday March 19, 2015)**

- Section 5.6 - Dividing polynomials by binomials (continued)
- Section 6.1 - Factoring out the Greatest Common Factor; Factor by grouping - Khan Academy Videos & Practice Problems

**17th Cla ss (Tuesday March 24, 2015) --- Eighth Homework Collected (Sections 5.5, 5.6, 6.1)**

- Section 6.2 - Factoring trinomials with a leading coefficient of 1 - Khan Academy Videos & Practice Problems
- Section 6.3 - Factoring trinomials that do not have a leading coefficient of 1 (a.k.a. "The Hokey Pokey" a.k.a. "AC Method") - This one is not on Khan Academy or in the book but my notes can be found above. Here is a link to a website with the same method: Hokey Pokey/AC Method

**18th Class (Thursday March 26, 2015)**

- Section 6.4 - Factoring special forms - Khan Academy Videos & Practice Problems
- Section 6.5 - General factoring strategy - Khan Academy Videos & Practice Problems

**---------------------------------------------------------------------------**

**--- Spring Break the week of March 31 - April 3 ---**

**---------------------------------------------------------------------------**

**19th Class** (Tuesday April 7, 2015) --- Ninth Homework Collected (Sections 6.2-6.5)

- Section 6.6 - Solving quadratic equations by factoring - Khan Academy Videos & Practice Problems

- Section 7.1 - Simplifying fractions - Khan Academy Videos & Practice Problems

**20th Class (Thursday April 9, 2015)**

- Section 7.2 - Multiplying and dividing fractions - Khan Academy Videos & Practice Problems

- Section 7.3 - Adding and subtracting fractions - Khan Academy Videos & Practice Problems

**21st Class** (Tuesday April 14, 2015) --- Tenth Homework Collected (Sections 6.6, 7.1-7.3)

- Section 7.4 - Adding and subtracting of fractions (continued)
- Section 7.6 - Solving Rational Equations - Khan Academy Videos & Practice Problems

**22nd Class (Thursday April 16, 2015)**

- Section 7.6 - Solving Rational Equations (continued)
- Section 7.7 - Applications - Khan Academy Videos & Practice Problems

**23rd Class** (Tuesday April 21, 2015) --- Eleventh Homework Collected (Sections 7.4, 7.6, 7.7)

- Test #3 - Covering Chapter 5, Chapter 6 and Chapter 7 (more information below)
- Section 8.1 - Roots - Khan Academy Videos & Practice Problems

**24th Class (Thursday April 23, 2015)**

- Section 8.2 - Multiplication and Division of Radicals - Khan Academy Videos & Practice Problems
- Section 8.3 - Operations with Radicals - Khan Academy Videos & Practice Problems

**25th Class** (Tuesday April 28, 2015) --- Twelfth Homework Collected (Sections 8.1-8.3)

- Section 8.4 - Rationalizing Denominators - Khan Academy Videos Only (No Problems Available)
- Section 8.5 - Radical Equations - Khan Academy Videos & Practice Problems

**26th Class (Thursday April 30, 2015)**

- Section 8.5 - Radical Equations (continued)
- Section 9.1 - Solving Quadratic Equations by the Square Root Property - Khan Academy Videos & Practice Problems

**27th Class** (Tuesday May 5, 2015) --- Thirteenth Homework Collected (Sections 8.4, 8.5, 9.1)

- Section 9.2 - Solving Quadratic Equations by Completing the Square - Khan Academy Videos & Practice Problems

**28th Class (Thursday May 7, 2015)**

- Section 9.3 - The Quadratic Formula - Khan Academy Videos & Practice Problems

**29th Class** (Tuesday May 12, 2015) --- Fourteenth Homework Collected (Sections 9.2, 9.3)

- Test #4 - Covering Chapter 8 and Chapter 9 (more information below)

**30th Class (Thursday May 14, 2015)**

- Review for the Final Exam

**Final Exam: Tuesday May 19 at 6:00pm** (our normal class time, with an extra 30 minutes of test time)

**UPCOMING TEST #4:**

This test will be on **Tuesday May 12th** and will cover the sections below. It is the fourth of four unit tests to be given this semester (the final exam will be the fifth and last). Each of these unit tests are worth 100 points and the final exam is worth 200 points. Together these 600 points make up most of your grade (homework is about 50 points).

**This test will cover:**

Chapter 8 - sections 1, 2, 3, 4, 5

Chapter 9 - sections 1, 2, 3

You may use a scientific calculator. You MAY NOT use a graphing calculator, a phone or other device as a calculator, or notes.

**I WOULD STRONGLY RECOMMEND**

... practicing with the old Math 154 tests and answer keys from past terms. You want to look at the old Test #4 copies. These can be found at the link at the top of the page with the cool looking lightning bolts.