Wednesday, May 8, 2013

This semester I posted mobile phone friendly solutions to exams in my Elementary Algebra and Intermediate Algebra courses.  Both are one-semester courses. This was easy to do using a basic snipping tool and Blogger.






In doing this, I was able to save some valuable class time. We are not quite finished, I still need to cover conic sections (chapter 8) in Intermediate Algebra, but students definitely said they appreciated this approach. Please feel free to comment or share.

Wednesday, February 27, 2013

App Inventor Tutorial


Here I have created a mathematical programming tutorial using the MIT App Inventor platform.


The tutorial guides students through the process of making the following android application.
The almost completed program follows:
Please feel free to try it, distribute, and remix.  This is a "work in progress," so any suggestions would be greatly appreciated.

Saturday, February 2, 2013

Over 100,000 Views!

My algebra YouTube videos broke the 100,000 view mark! I know it is not a lot compared to many others out there but it is a milestone for me nonetheless.


I have received a great many "thank you" type comments and emails. It still amazes me that I can help so many so easily.  And I am getting better at tagging and SEO so hopefully this run will continue to accelerate.

Monday, January 14, 2013

Sunday, January 13, 2013

Open Algebra Study Guide Website

Do you have a student that missed a day? Well... send him a link to that days topic!

Our free algebra study guide makes for a rather useful website. It is coming together quite nicely using Blogger - have a look.


Feel free to share a link, copy-and-paste anything you find there.  Also, notice that there are links to videos at the bottom of each page. Hope this helps somebody out there!

Thursday, December 27, 2012

Intermediate Algebra Course Outline

Below you will find the topics for Intermediate Algebra as published by College of the Sequoias in their course outline:

Intermediate Algebra (Algebra II)
COURSE TOPICS:
Absolute Value Equations and Inequalities

  • Solve absolute value equations and inequalities

Radical Expressions and Equations

  • Properties of radicals
  • Rational exponents
  • Simplify radical expressions
  • Operations with radicals
  • Solve radical equations
  • Solve radical equations which come from real-world applications
  • Operations with complex numbers
Quadratic Equations
  • Solve quadratic equations using factoring, extracting roots, completing the square, and quadratic formula
  • Solve applications (for example: max/min problems)
  • Graph quadratic equations
  • Solve quadratic and rational inequalities
  • Solve equations that are quadratic in form

Functions
  • Understand and apply the definition of a function
  • Function notation
  • Apply the vertical and horizontal line tests
  • Graph and determine the domain and range of the core functions
  • Evaluate and apply the algebra of functions including addition, subtraction, multiplication, division, and composition
  • Find the inverse of core functions

Logarithmic and Exponential Functions
  • Graph logarithmic and exponential functions
  • Apply the properties of logarithmic functions
  • Solve logarithmic and exponential equations
  • Solve applications of logarithmic and exponential functions including exponential growth and decay, pH, compound and continuous interest, carbon dating, half-life, and earthquake magnitudes

Conic Sections
  • Apply the midpoint and distance formulas
  • Convert the following conic sections into standard form by completing the square: parabolas, circles, ellipses, and hyperbolas
  • Identify and graph the following conic sections: parabolas, circles, ellipses, and hyperbolas

Optional Topics
  • Solve 3X3 systems of linear equations
  • Solve nonlinear systems of equations


Elementary Algebra Course Outline

Below you will find the topics for Elementary Algebra as published by College of the Sequoias in their course outline:

Elementary Algebra (Algebra 1)
COURSE TOPICS:

Numbers and Sets

  • Set or interval notation
  • The number line
  • Arithmetic and algebraic operations of basic math symbols
  • Order of operations
  • Simplifying algebraic expressions

Solving Linear Equations and Inequalities
  • Solving linear equations
  • Evaluating and solving formulas
  • Solving single variable word problems
  • Solving linear inequalities

Graphing Linear Equations
  • Graphing linear equations
  • Slope and intercepts
  • Find equations of lines
  • Parallel and perpendicular lines
  • Graphing linear inequalities in two variables

Systems of Linear Equations & Problem Solving
  • Solving by graphing, substitution, and addition methods
  • Solving applications
  • Graphing systems of linear inequalities

Exponents and Polynomials
  • Rules of exponents
  • Negative exponents
  • Scientific notation
  • Addition, subtraction, multiplication, and division of polynomials

Factoring
  • Greatest common factor
  • Trinomials
  • Difference of squares
  • Difference and sum of cubes
  • Factoring by grouping
  • Solving polynomial equations by factoring including applications

Operations and Rational Expressions
  • Simplification of rational expressions
  • Addition, subtraction, multiplication, and division of rational expressions
  • Complex rational expressions
  • Solving rational equations with applications
  • Solving rational literal equations for a given variable