Space Equations (System of Equations)

Our goal is to solve equations, both graphically and algebraically. We will model the orbit of a satellite and the trajectory of a missile with a system of equations.

     Students will work in groups of four. The groups will make a Wiki Page or PowerPoint presentation that precisely describes the steps of solving system of equations.      

     Another task is to complete (individually) an online worksheet that is composed of system of equation problems. There will also be word problems involved. The word problems will ask you to solve equations involving the trajectory of a missile.

First of all, I will separate everyone into groups of four. I will allow students to choose from a PowerPoint presentation and a Wiki Page. There are two methods to solve system of equations. Students will explain how these two methods are used, which are the "substitution" and "elimination" method. I would recommend students to include AT LEAST TWO examples of each. I would also recommend students include the steps next to the examples they provide. Students should consider to include what happens when an equation results in "all real solutions" and "no real solutions."

The second task is straightforward, which is completing a system of equations online worksheet. Students will solve various system of equation problems. Students must also be able to interpret a word problem and convert it into a system of equation, then solve. 

Resources needed: Wiki Page account or PowerPoint, and a TI-30XIIS or lower calculator (not necessary). 

I will periodically ask students to keep me up to date with the information that they will include in the Wiki Page or PowerPoint presentation. I will be evaluating their work, and I will provide continuous encouragement and relevant feedback. In the end, students will be graded upon the quality of the project and the score they obtain on the online worksheet. I want every group to turn in an informative and creative project. I will make sure my feedback keeps students motivated and on track.

I hope that all of you learned the proper way to solve system of equations, using both the elimination and substitution method. It is important that you keep in mind that the answer can result in "all real solutions" or "no real solutions." It is important that you keep that in mind so that you can avoid confusion when solving system of equations. I encourage all of you to keep extending your learning.

(I was not able to understand how to insert pictures)

The objectives are to:

• Solve a system of equations algebraically, and interpret word problems 

• Graph a system of equations to determine if there is a solution (real solution).

The standards include:

• MAFS.K12.MP.2.1 Reason abstractly and quantitatively
• MAFS.K12.MP.4.1 Model with Mathematics

The materials needed: Access to Wiki Page account or PowerPoint, and a TI-30XIIS or lower calculator (not necessary).