Systems of Equations in Real-World Situations by Mrs. Rollins

Introduction

"When am I ever going to use this?"

This is a question that Math teachers are frequently asked by their students. 

Although you may not realize it, math is used all around you and even in your everyday life. 

We are going to relate systems of equations to real world examples in this assignment.

Algebra 1 Standard:

ACE.3 Use systems of equations and inequalities to represent constraints arising in real-world situations. Solve such systems using graphical and analytical methods, including linear programing. Interpret the solution within the context of the situation.

In this WebQuest, you are going to look at different real-world examples and then create a systems of equations example that is relevant in your life.  

Task

By doing this tasks students should understand the following:

  • The student should be able to identify the systems of equation process.

  • They should be able to relate the systems of equations process to different real world examples.

  • Each individual student should be able to relate the systems of equations process to an example in their own life.

Process

  • First the student will look at many different real-world systems of equation problems.
  • CLICK HERE or HERE to view differnet examples 

Question 1: What was one example that you liked from the two sources?

Question 2: What is the real-world example that is being used here?

WATCH THIS VIDEO

Question 3: What are two of the real-world concepts discussed in this video?

This VIDEO discusses the two different methods. Answer these questions:

Question 4: What are the names of the two different methods?

Question 5: Which one of the two do you prefer?

  • Next the student should think of their own lifes and a situation they have experienced that could serve as an example.

*Hint- think of a time where two things were compared and you needed to figure out some unknown quantity

  • After thinking of an example, the student should identify the known variables and set up two seperate and questions that relate.
  • These two equations should have the same two variables within them.
  • After this, the students should use the systems of equations process and solve the two equations accordingly.

Forgot how to use systems of equations? Homer should help you remember.

Image result for i forgot how image

Question 6: If you had problems with this what were they and how did you resolve them?

  • They should also provide an image (either from google or their own picture) that relates to this example.
  • This should all be done and presented to the class. 

This can be done in prezi or any other form of visual aid.

Answer the following questions within your presentation:

1. What is your own real-world example?

2. What two things are being compared?

3. What are the variables for these two unknown quantities?

4. How do they relate to one another?

5. What are the two unknown quantity values?

6. How did you solve this problem when it actually occured?

7. How does your image relate to your example problem?

8. Which one of the two methods did you use and why?

9. What are some other examples you can think of in your life?

10. Do you now have a better understanding of how Algebra 1 is used in your everyday life?

 

Evaluation

Assignment Rubric: Possible Points=15

Excellent (5-4) Okay (3-2) Below Standard(2-1)
Content All 16 of the questions were answered. The student correctly used the systems of equations and provided a visual aid. Almost all of the questions were answered. The student provided a general idea of the systems of equations with only few mistakes and a visual aid. Very few of the questions were answered. The student did not correctly use the systems of equations and did not provide a visual aid.
Creativity Visual aid is well designed and it looks like a lot of effort was put into the assignment. Visual aid is some what decorated and some effort was put into the assignment. There is little to no decoration and little to no effort was put into the assignment.
Presentation The presentation was organized and well put together. The presentation had some organizational problems but was overall neat. The presentation had little to no organization or a presentation was not given.

Conclusion

The student should now know how to solve systems of equations problems and be able to relate them to real world situations!