Math Lessons - NCTM Standards

[Kathy_Bautista]

Several of my colleagues used to teach math in their former lives, and have created some sample lessons covering a variety of math topics. Each includes the NCTM standard which each lesson fulfills.

If you're relatively new to Mathematica, these ready-made example lessons can give you a jumping-off point for using Mathematica in your classes...and give you a sneak peak at what's possible with Mathematica.

More are forthcoming, so stay tuned!

-Kathy

Binomial Expansion: Introduction to the FOIL Method
http://library.wolfram.com/infocenter/Courseware/7424/

Introduction to Slope: Calculating the slope of a line
http://library.wolfram.com/infocenter/Courseware/7426/

Pythagorean Theorem: Finding Distances in Right Triangles
http://library.wolfram.com/infocenter/Courseware/7425/

Advanced Absolute Value Graphs
http://library.wolfram.com/infocenter/Courseware/7417/

Advanced Transformations of Graphs: Stretching and Inverting Graphs
http://library.wolfram.com/infocenter/Courseware/7422/

Functions: Combination and Composition
http://library.wolfram.com/infocenter/Courseware/7418/

Logarithmic Graphs: Understanding the Characteristics and Behavior of Logarithmic Graphs
http://library.wolfram.com/infocenter/Courseware/7419/

Rational Functions: Vertical and Horizontal Asymptotes
http://library.wolfram.com/infocenter/Courseware/7420/

Transcendental Functions: Working with Exponential and Logarithmic Models
http://library.wolfram.com/infocenter/Courseware/7416/

Transformations of Graphs: Reflecting and Stretching Graphs
http://library.wolfram.com/infocenter/Courseware/7421/

Translations of Graphs
http://library.wolfram.com/infocenter/Courseware/7423/

[Kathy_Bautista]

As promised, here are three more sample math lessons.

Enjoy!

-Kathy

Rational Functions: Slant Asymptotes
http://library.wolfram.com/infocenter/Courseware/7591/

Exponential Graphs: Understanding the Characteristics and Behavior of Exponential Graphs
http://library.wolfram.com/infocenter/Courseware/7592/

Solving One Equation with One Variable: Two-Step Equations
http://library.wolfram.com/infocenter/Courseware/7593/

[Stanly_Fernandez]

Hi Kathy

My university sponsored my Mathematica 7.0.1.0. I will like to use in teaching Mathematics and Statistics. Can I use your samples lessons? I will like to make some changes if possible. How can I clear copyright if any?

Some of my students needs detailed solution steps. Is this feature available in my version of Mathematica?

Best regards
Stanly Fernandez

[Kathy_Bautista]

Hi Kathy

My university sponsored my Mathematica 7.0.1.0. I will like to use in teaching Mathematics and Statistics. Can I use your samples lessons? I will like to make some changes if possible. How can I clear copyright if any?

Some of my students needs detailed solution steps. Is this feature available in my version of Mathematica?

Best regards
Stanly Fernandez

Hi Stanly,

Yes, all of these lessons can be modified as needed, so you're welcome to make changes and use them for your Mathematics and Statistics classes.

Although Mathematica does not show the steps it took to find a solution, it is possible to do so with relatively little work. In fact, many users have created functions that allow you to show the steps for solving integrals and equations. e.g.
http://blackbook.mcs.st-and.ac.uk/~Peter/djmpark/html/

Another example of this is Wolfram|Alpha (created with Mathematica), which will show steps for select calulations when you click on "Show steps". e.g.
http://www.wolframalpha.com/input/?i=in ... n%5E3+x+dx

-Kathy

[Kathy_Bautista]

Below is a new sample math lesson on rose curves and lemniscates.

Enjoy!

-Kathy

Polar Graphs: Rose curves and lemniscates
http://library.wolfram.com/infocenter/Courseware/7602/