Chapter 5

USE ANOTHER BROWSER TO SEE ALL OF MY VIDEOS.

See videos in order, or for particular sections in the textbook called Algebra, a combined approach, 4th edition, by Martin-Gay. The labeling of each video (5V1, 5V2, etc.) was for students in my online class when I taught using that text.

The pdf attachment at bottom is a review for a Test over Systems of Equations and Polynomials. The word attachment has problems covering Systems of Equations, and gives links to my webpages to study Polynomials. The pdf shows what problems are on all of the videos on this page.

5.1 and 5.2

5V1: Exponents 1-definition, meaning and evaluating 

Shows how to evaluate problems b^n with positive exponents, but where base may be negative. Explains difference when negative sign is in or out of the parentheses. 

http://www.youtube.com/watch?v=AneubQTnoL4 

5V2: Exponents 2-Exponents and Evaluating Expressions 

Shows how to evaluate variable expressions containing exponents,focusing on when you replace a variable base with negative numbers. 

http://www.youtube.com/watch?v=BsYSCKyFcYs 

5V3: Exponents 3-Product Rule for Exponents 

http://www.youtube.com/watch?v=jjajaVnVQKY 

5V4: Exponents 4 - Quotient Rule and Zero Exponent 

Develops the Quotient Rule for Exponents and the meaning of a zero exponent. 

http://www.youtube.com/watch?v=VLJTJxjPUOA 

5V5: Exponents 5 - Power Rule 

Develops the Power Rule for Exponents and Product of a Power or Quotient Rule, and examples using more than one rule. 

http://www.youtube.com/watch?v=HNJdc5Sqx1I 

5V6: Exponents 6 Negative Exponents part 1 

Develops the meaning of negative exponents and how to simplify expressions with negative exponents. 

http://www.youtube.com/watch?v=oHNe8AK0E9M 

5V7: Exponents 7-Negative Exponents part 2 

Part 2 of negative exponents and how to simplify expressions with negative exponents. 

http://www.youtube.com/watch?v=heUUBzvYA1o 

5V8: Exponents 8-Negative exponents part 3 

Part 3 of negative exponents and more examples of simplifying expressions with negative exponents. 

http://www.youtube.com/watch?v=CrJEOQh5UXg 

Videos on Scientific Notation (these are not required for students)  Only videos with a label like 5V8 and 5V9 are required for Video notebook.

Multiply by powers of 10: This is preparing for an introduction to Scientific Notation. In this video, we multiply numbers by powers of 10 when the exponents are positive. http://youtu.be/67Lu2LJ5f2I

Mult by neg powers of 10: In this video, we multiply numbers by powers of 10 when the exponents are negative. http://youtu.be/UGS42iEHGxs

How to Write a number in Scientific Notation: http://youtu.be/d7Xpxm3uh1s

How to Multiply numbers in Scientific Notation: http://youtu.be/vKleHlbcMSE

How to Divide numbers in Scientific Notation: http://youtu.be/AlHaA3ubIII

5.3 and 5.4 are a review of polynomials, terms, and adding and subtracting polynomials, which is a review of adding like terms. These topics are covered in the videos for Chapter 1, sections 1.7 and 1.8. Watch these in particular as a review.  Students in my class: Do not  include these review videos in your video notebook. If you do them, keep them separate since they do not have a label.

5.5 

5V9: Multiplying Polynomials 1: Part 1 of Multiplying Polynomials covers how to multiply a monomial by a monomial, and monomial by a polynomial. 

http://www.youtube.com/watch?v=A03qYxfY1ts 

5V10: Multiplying Polynomials 2: Part 2 of Multiplying Polynomials covers how to multiply a polynomial by a polynomial using the distributive property and a vertical format. 

http://www.youtube.com/watch?v=m2pTH8Y6emI 

5V11: Multiplying Polynomials 3: Part 3 of Multiplying Polynomials covers how to multiply a polynomial by a polynomial using the box method. 

http://www.youtube.com/watch?v=iQ6NaQOECTA 

5V12: Multiplying Polynomials 4: Part 4 of Multiplying Polynomials covers how to multiply a binomial by a binomial using the FOIL method and a Smiley Face Method. 

http://www.youtube.com/watch?v=MnDe17mCLpc 

5.6 

5V13: Multiplying Polynomials 5: Difference of 2 Squares

http://www.youtube.com/watch?v=AecdR8wpIWM

5V14: Multiplying Polynomials 6: Squaring a Binominal

http://www.youtube.com/watch?v=bRonwACbTnc

Multiply Polynomials 2 step: http://youtu.be/LiYRzRZoC0w

Simplify Polynomial Part 1 (multi-step problem)

http://youtu.be/Fhvd6HHF4_U

5.7

5V15: Divide a Polynomial by a Monomial 

Explains and shows examples of how to Divide a Polynomial by a Monomial 

http://www.youtube.com/watch?v=uERRlY-WmmU 

5V16: Divide Polynomials using long division - Part 1 

Part 1 of how to divide a Polynomial by a Polynomial using long division. 

http://www.youtube.com/watch?v=P1hoVymb5hw 

5V17: Dividing polynomials using long division-Part 2 

This is Part 2 of Dividing Polynomials using long division. The example shows how to divide a polynomial with 4 terms by a binomial. See Part 3 for how to check the answer to this problem. 

http://www.youtube.com/watch?v=-30vS5QL6O0 

5V18: Divide Polynomials using long division - Part 3 

This is Part 3 of Dividing Polynomials using long division. Part 2 shows how to divide a polynomial with 4 terms by a binomial. Part 3 shows how to check the answer to the problem in part 2. 

http://www.youtube.com/watch?v=8IFxmHc3w7E 

5V19: Dividing polynomials using long division-Part 4 

This is Part 4 of Dividing Polynomials using long division, which shows more examples, and shows the subtraction part a little differently than shown in Part 2. 

http://www.youtube.com/watch?v=YqV1lIOBVzk