Lesson 10

Part III (Introduction to Matrices, continued)

One of the topics covered in Algebra is solving systems of equations. In this part, you will learn how to solve a system of two equations in three different ways and also a system of three or more equations in two different ways.

1. Solving a System of Equations Graphically

2. Solving a System of Equations using 2D Math

3. Solving a System of Equations Using rref & Matrices

4. Solving a System of Equations with Three Unknowns

5. Solving a System of Equations with Three Unknowns and rref

Part III


Practice Exercises

  1. Please open the eActivity application.
  2. Open the eActivity named L10_PartIII_a in the Lesson 10 folder.
  3. Read the eActivity and then complete the exercise part.
  4. When finished, get a screen capture with the Complete: x= y= part showing. Paste it into your Lesson 10 document (under a title of PART III).
  5. Save your work as an eActivity named L10_PartIII_a_your initials here.
  6. Open the eActivity named L10_PartIII_b in the Lesson 10 folder.
  7. Follow the directions inside the eActivity. Drag & drop will save time .
  8. With your solution showing, get a screen capture. Add two blank spaces following the first screen capture and then paste this one.
  9. Save your work as an eActivity named L10_PartIII_b_your initials here.
  10. Open the eActivity named L10_PartIII_c in the Lesson 10 folder.
  11. Follow the directions inside the eActivity.
  12. With your solution showing, get a screen capture. Add two blank spaces following the last screen capture and then paste this one.
  13. Save your work as an eActivity named L10_PartIII_c_your initials here.

Before continuing to Part IV, please back up your Lesson 10 activities:

  1. Begin by opening the Exchange Window. [Hint: Right click on the ClassPad emulator.]
  2. Click on the + sign in front of the Active Document folder and the ClassPad Manager folder.
  3. Click on the + sign in front of the Lesson_10 file and then the eActivities folder.
  4. Next, click on the folder named Lesson 10 to see the eActivities you just completed. Are they there?
  5. Press (left click) on the Lesson 10 folder and drag it to the CP101_Backup vcp file.

Part IV

Written Exercises

Please copy and paste the following questions into your Lesson10 document (under a title of Part IV) and answer them.

  1. When can two matrices be multiplied?
  2. How do we multiply a matrix by a scalar?
  3. Name three ways to solve a system of two equations with two unknowns.
  4. How can we verify that (x=-3, y=-4) is a solution to 3x – 5y = 11 using the ClassPad?

Reflection Exercises

You have just completed the tenth lesson in ClassPad 101. A great deal of mathematics that can be done using matrices; we just touched the surface. Please take a few moments to copy and paste the following three questions at the end of your Lesson 10 document and answer them.

  1. Approximately how long did it take you to complete this lesson?
  2. Which activity did you find particularly useful?
  3. Did you find any part of this activity difficult to follow? If so, which part? Also, how did you overcome the difficulty?

Assessment 10a: Introduction to Matrices

Assessment 10b: Uploading your Lesson_10.vcp file