Graphing with Ordered Pairs and the Coordinate Plane

Introduction

This webquest is about graphing on the coordinate plane. This project will help you learn more about what a coordinate plane is and how to graph on it. It will help you understand the x axis, y axis, coordinates, points, plots, lines, and graphs in Algebra. You will also learn about y=mx+b. The question you should be able to answer at the end of this project is what is a graph and how is it used in math and what are ordered pairs and how are they used in math?

                                                                     Image result for coordinate plane

The below link will give you an introduction to the coordinate plane.

                    Introduction to the Coordinate Plane

 

 

Task

1. Start a journal entry where you will store all your data and what you learn.

2. Take a pre-quiz to see what you need to learn.

3. Review the coordinate plane and look up vocabulary associated with it.

4. Practice plotting and/or graphing ordered pairs on the coordinate plane.

5. Explore different data types.

6. Explore resources given to you.

7. Come up with something that will help you understand the coordinate plane whether it be rules, acronym, etc.

8. Practice more problems graphing and/or plotting ordered pairs on the coordinate plane.

9. Discuss real world problems where a coordinate plane can be used to help figure out something

10. Pass the quiz to know that you have learned all about the coordinate plane.

Process

                                                        Image result for coordinate plane

The process below will help you reach you goal of learning about coordinate planes. Do the steps in order without skipping any and without skipping over any website.

1. Start a journal entry where you will store all your data and what you learn and label it Coordinate Plane. This is where you will record data and what you have learned. You will also need to record different graphs. This will be turned into your teacher once you have completed the project.

2. Take a pre-quiz to see what you need to learn. Follow the link below and answer each question the best you can. Write ALL questions and answers in your journal. PRE-QUIZ

3. Review the coordinate plane and look up vocabulary associated with it. Below are links for you to find vocabulary. You will need to write down ALL words and their definitions you are unfamiliar with. 

Read about the Cartesian Plane in the below link.

           The Cartesian Plane

Complete the four steps in the link below and write down anything you may learn.

           Four Step Workout

4. Practice plotting and/or graphing ordered pairs on the coordinate plane.

Go to the website below and read about the Cartesian Plane and try to make it through all the levels.

           Cartesian Plane

Go to the website below to practice plotting and/or graphing. Do at least 15 plots.

           Practice Plotting

5. Explore different data types. Use graph paper to graph random ordered pairs labeling each with the x and y coordinate. After you have graphed at least 10, connect each point. After you have done this answer the following questions on the back of your graph.

           1. What do negatives do to your line?

           2. What do positives do to your line?

           3. What do fractions do to your line?

           4. What do zeros do for both the x and y axes?

           5. What does the m stand for in the formula y=mx+b?

           6. What does the b stand for in the formula y=mx+b?

           7. What does the x stand for in the formula y=mx+b?

           8. How does changing x affect the graph?

           9. How does changing y affect the graph?

          10. What quadrant are most of your points located?

6. Explore resources given to you. The website and videos below will help you better understand the coordinate plane, points, axes, and lines. Take notes on what you learn in your journal. 

Go to the below website and watch the video and read the notes on vertical lines, horizontal lines, slope, and y-intercept. Use the interactive tool to help you see how different lines look when they are written in a formula.

           Lines, slope and y-intercept

Watch the two videos below to better understand how to graph on a coordinate plane. Take notes on what still confuses you or what you still have questions about.

           Video 1

           Video 2

7. Come up with something that will help you understand the coordinate plane whether it be rules, acronym, etc. Use websites and other sources you have used to write down 10 things you now know about coordinate planes. 

The below website may help give you some ideas. 

           Information

8. Practice more problems graphing and/or plotting ordered pairs on the coordinate plane. Try graphing different lines and recognizing different lines. Once you have finished each activity, write a minimum of 3 sentences about what you learned in each activity. 

The below website has additional videos and notes that may help you with graphing. 

           Additional Videos

The below websites are different games you can play to help you with graphing.

           Treasure Map Graphing

           Basketball

9. Discuss real world problems where a coordinate plane can be used to help figure out something. 

Read the below articles and write down at least 7 interesting facts you learned.

           Coordinate Plane in real life

           Graphing of real world problems

10. Pass the quiz to know that you have learned all about the coordinate plane. After completing the quiz write at least 3 paragraphs about what you have learned or found interesting about coordinate planes and graphing. You will also need to answer the questions below in your paragraphs. 

           Quiz

  • How well did you do on the quiz? Is this an accurate score of what you think you know about the Cartesian Coordinate Plane?  Are there areas on the quiz that you know but did not get correct?  What are they and why did you get them wrong?
  • How much time did you spend learning?  What grade would your overall project deserve?  How did the websites, videos, and Graphing Exercises help your learning?  Is there something that might have helped you learn better?
  • What grade would you give yourself based on the amount of effort you put into this project?  How hard did you work?  Does your grade reflect how hard you tried?
Evaluation

This project will be evaluated on the following measures.

  • 50% - How well the student completed the individual assignments given in the Process page and based on the Rubric below.
  • 50% - The score the student gets correct on the final examination.

1. Did the student complete the project in a timely manner? 10 pts possible

        a) Finished as many parts of the project as possible and attempted all Process Steps - watched some videos, visited most websites,              played all games. (7pts)

       b) Has a good understanding of the Cartesian Plane and how to graph points. Student's document is easy to follow and it is clear                   that student put forth a lot of effort. (8 pts)

       c) Student has completed the project without skipping any of the Process Steps in a neat and organized manner. He or she has                     clearly tried to do all that was asked. (9 pts)

       d) Overall project is worth sharing with the class. Student has gone above and beyond what was expected. Plus he or she has                        taken extra time to ensure the work is correct and finished exactly as it was laid out in the Process Steps. (10 pts)

2. How well did the student look and explore different lines on a graph?

       a) Student has at least ten graphs entered in the journal. (7 pts)

       b) The project demonstrates that he or she has attempted to manipulate the graphs. The responses to the questions were                             complete and grammatically correct. (8 pts)

       c) He or she thoroughly played with the program to create easily recognizable lines which were all clearly labeled. The answers                     show that the student understands the different variables in the formula. (9 pts)

       d) This learner has made many connections through the graphs including a systematic representation of how the different                               variables change. They used this information to demonstrate this knowledge in their responses. (10 pts)

3. Did the student demonstrate thoroughly what they learned about coordinate planes?

       a) The student has created a set of rules, acronym, etc. that demonstrates understanding of coordinate planes. (7 pts)

       b) The student has worked to find information that shows growth and clarity in their ideas. (8 pts)

       c) The student wrote at least 10 individualized ideas, rules, acronym letters, etc. that show how information from the web was                         accurately interpreted and expressed with care. (9 pts)

       d) Exceptional students analyzed the information from the web and came up with more than ten ideas for what to know about                         coordinate planes as well as plotted points and lines. (10 pts)

4. Did the student take away an abundant amount of information from this project?

       a) Student wrote about their experience in a constructive manner. (7 pts)

       b) Student wrote at least three complete sentences for each part of the reflection. They described the experience using appropriate               terminology. (8 pts)

       c) Student did more than answer the questions - by adding creative responses and thoughtful comments she or he described the                   overall experience and reflected fully on the project. (9 pts)

       d) The student has truly taken in the experience, thought about their progress, and reflected on their learning. This student has                        included suggestions as well as made helpful comments. He or she showed insight into their own learning. (10 pts)

Conclusion

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After you have finished your Bloomin' Awesome worksheet and colored it, please answer these few questions at the end of your journal and turn it in.

  • Is there anything about this Webquest that you would change?
  • What was your favorite video,game, website from this project?
  • Do you have any suggestions of how you would like to use this Webquest again - other than to play?
  • Did you have trouble understanding any part of the process, if so what part?
  • Are there still any aspects of Coordinate Planes that you do not understand, if so what parts?
Credits
Teacher Page

Standard: 5.ATO.3 Investigate the relationship between two numerical patterns. a. Generate two numerical patterns given two rules and organize in tables; b. Translate the two numerical patterns into two sets of ordered pairs; c. Graph the two sets of ordered pairs on the same coordinate plane; d. Identify the relationship between the two numerical patterns.

Thank you for completing this webquest. This was my first ever webquest and I hope you enjoyed being a part of it. 

Again thank you for viewing my webquest. 

Ms. Green