Solving
Systems of Equations
Created by: Trudy Wade & Treavie Ainsworth
Introduction Task Process Evaluation Conclusion Teacher Page
Introduction
This is a WebQuest for Algebra 1 students. A system of equations is defined as two or more equations that may or may not share a common point. If the lines intersect, there is one and only one solution. If the lines are parallel, there are no common points shared, thus no solutions. If the lines are the same line (i.e. one line lying on top of the other), there are infinitely many solutions. Systems of Equations are used in solving word problems as well as Algebraic problems.
Introduction Task Process Evaluation Conclusion Teacher Page
Task
You
will find three ways of solving Systems of Equations. Websites will be provided for you to browse
and practice the three methods. You will
be able to explain each method to your class of peers. You will describe the three methods in detail
in an oral presentation. After oral
presentations, you will complete the Chapter 7 test.
Introduction Task Process Evaluation Conclusion Teacher Page
Process
Visit
each website in the order that they are listed, take notes, and do the examples
and problems. Make sure that your notes
are in your own words and are not copied directly from the sites.
The
websites are as follows:
1.
Regentsprep Make sure that you study the lessons before
completing the practice problems. When
you get to the site, hit the L for lessons or the P for practice. When you are finished with each, hit the
button that says “Back to Linear Systems”.
2.
Substitution Explanations Make sure you view this site for more
explanations of substitution.
3.
Solutions
through graphing
Make sure you view the first four
pages that explain graphing, substitution, and elimination.
4.
More Practice Make sure that you do all problems,
including the fraction and decimal problems. Graph problems #1 - 6 on the graph
paper provided in the classroom. Your graph should give you the same solution
you found algebraically.
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Evaluation
Rubric for Oral Presentation
Task |
Beginning 0 - 2 |
Progressing
3 - 4 |
Accomplished
5 – 7 |
Expert
8
- 10 |
Used the
Internet resources provided
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|
Completed all
Work on Time
|
|
|
|
|
Clearly
described each method in detail on paper
|
|
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Oral
presentation of each method was clear and concise
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Notes were paraphrased and labeled correctly
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Workstation
& Computers were properly taken care of
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You
will receive a grade for your oral presentation, your practice problems and
your Chapter 7 test.
Introduction Task Process Evaluation Conclusion Teacher Page
Conclusion
Congratulations
on completing the webquest. You have
learned the methods of solving through substitution, elimination, and graphing. You have mastered solving systems of
equations and you have found out that your computer can be an educational tool
instead of just a means to play solitaire.
Introduction Task Process Evaluation Conclusion Teacher Page
Teacher Page
This
is a WebQuest created at a Camp Techa-Techa-Ina-Handa on July 9, 2004. Due to time constraints, some information has
been excluded.
Subject Area: Algebra 1
Grade Level: 9 - 12
Learner
Information: Students
should have a prior knowledge of graphing equations.
Curriculum:
19.
Graph systems of linear equations.
31.
Solve systems of linear equations, graphically and algebraically.
Technology:
34. Use appropriate
on-line resources for research.
37. Take notes and
paraphrase from a search.