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 * Title/Name:** Systems of Equations


 * Course & Topic:** Algebra II and Systems of Equations


 * What does you topic mean?:** Solving systems of equations is the process of solving two or more equations at the same time. Usually these each equation has at least two unknown variables. There are multiple ways of solving systems of equations. With my class, I will stick to two equations with two unknown variables each. I am doing this because this is the direction that was given to me by my cooperating teacher.


 * What kinds of problems will your students solve?:** Students will try to solve for both unknown variables. There are multiple ways to solve for these variables. A student could use graphs, tables, elimination, or substitution to find the unknown variables. As said before, there will only be two equations with two unknown variables. A great use of systems of equations are real-world types of examples. There are a lot of types of examples in which systems of equations are used to solve the problem. I want my students to see the relevance of this material.

What are your current thoughts regarding the use of technology to help teach this topic?: I feel like there are multiple ways that technology can be used. SMART Board, graphing calculators, GeoGebra, Youtube, Internet, and Excel are my initial thoughts on this subject. After teaching the topic, I can say that I used all of these types of technology except GeoGebra and the Internet. If I taught this unit again I would be sure to introduce a web-based activity in which up to date, real world models could be formed. I could also use GeoGebra to show intersections.
 * What's the relevance of this kind of math problem?: Systems of equations can be used to solve various real-world problems. Various sales or sports models could be compared and studied with systems of equations. Also it would be possible to find the ideal area or revenue from multiple systems of equations.

Unit Basics **** - This gives the basic information on my unit **

Unit Introduction- This gives an outline of my unit including standards, objectives, and assessment.

Resource List- This gives the sources that I used for my unit

History and Technology Paper- This is a history of systems of equations and information on what types of technology I could use to support my unit.

K-12 Paper- This is a paper that follows my unit throughout grade school. K-12 Timeline- This is a document that goes along with the paper mentioned above.

Lesson Critique- This is a lesson that I critiqued. This helped me prepare for writing my own lesson plans.

Lesson 1- Systems of Equations with Graphing - This lesson helps students learn systems of equations by graphing. Graphing PowerPoint- This is the PowerPoint that I used to help teach my lesson at Walhalla.

Lesson 2- Systems of Equations with Tables- This takes a look at how tables can help students solve systems of equations. Tables PowerPoint- This is the PowerPoint that I used to teach the Tables lesson at Clemson.

Lesson 3- Excel- This uses technology to reinforce the previous two lessons.

Lesson 4- Algebra- This lesson discusses the methods of substitution and elimination in reference to solve systems of equations.

Lesson 5- Inequalities and Matrices- This lesson looks at systems of inequalities and using matrices as an alternative way to solve systems of equations.