Brainstorm and Explore Various Pendulum Models:
A series of 5 pendulum models (stations) are set up in the class room. The string is connected at the fulcrum (paper clip) at the ceiling with a carabiner at the end of the string. Each of the carabiners can accommodate a various number of bolts (or washers) but each station begins with an initial condition of only one weight item. The fulcrum is set at 2'-6" (minimum) from the wall for all stations. The string lengths vary from positioning the carabiner at a height of 1', 2', 3', 4' and 5' from the ground respectively.
String lengths shall be verified by a tape measure and recorded in your documentation.
Document Ideas for Future Consideration:
Explore the characteristics of your station and make predictions about the essential questions and record them in your notebooks. DO NOT adjust string lengths or vary the initial weight condition of only 1item during this exploration time.
Formal Experimentation with Your Groups Model:
Discuss Outcomes and Observations with Your Group:
Consider the implications of your data and predict how these might be affected by the different conditions at the other stations.
Calculate Missing Parts of The Diagrammed Triangle and More:
1) Use law of cosine, law of sines, sum of interior angles of the triangle, or any other
applicable background knowledge as necessary to calculate missing attributes of
the diagrammed triangle.
(Triangle described by its sides being: distance 1, distance 2 and distance 4)
2) Calculate the central angle created by the string, at the fulcrum, when the pendulum
swings from one extreme to the other.
3) Calculate the sector captured by this central angle as a percentage of the entire
circle that would be created if the pendulum was swung one full rotation.
4) Calculate the actual arc length of the pendulums path as it swings from one extreme
to the other. (Use the percentage you just calculated and the circumference formula)
5) Calculate Instantaneous Velocity at the following positions:
- at the release point
- at the position one quarter way between release point and perpendicular
- at the position one half way between release point and perpendicular
- at the position three quarter way between release point and perpendicular
- at the point in which string is perpendicular to ground
- at the position one quarter way between perpendicular and extreme distance
- at the position one half way between perpendicular and extreme distance
- at the position three quarter way between perpendicular and extreme distance
- at the point in which string reaches its extreme distance from release point
6) Graph your finding from the above calculations. Examine the graph and make
predictions about instantaneous velocities as pendulum returns from its extreme
position back to its release point (initial position).
7) Graph an ongoing graph for at least four periods (oscillations) representing the
pendulums position relative to time.
Create Preliminary Data Analysis Sheet:
Create from your recorded notes a neatly constructed data sheet with all formulas and all input values. Include a step-wise set of calculations which clearly illustrate how all derived values were attained. Make sure calculations for each trial are present and fully developed.
Refine Thoughts About Expectations and Outcomes:
Discuss your group's data and findings amongst yourselves to prepare for the gallery walk where you shall view all data sheets representing each groups findings for their respective stations.
Cooperatively Form Your Group's Hypothesis Statements:
After the gallery walk reconvene with your group; formalize and record your prediction(s) in the form of an (or series of) if-then hypothesis statement(s).
Also include any mathematical formulas or written relationships that may explain your observations and/or may help in predicting future outcomes of varying conditions similar to these pendulum stations.
Create a Formal Presentation for Peer Review:
Create a presentation of your findings for your class and teacher which shall include your groups formal data sheet as an Excel spreadsheet or Microsoft Word document, and a PowerPoint presentation of no less that 5 slides and no more than 15 slides. Your presentation should address all factors considered by your group and how looking at the other pendulum stations may have affected your interpretation of your observations.
All PowerPoint presentations should be of professional and conservative business or scientific format. These shall then be posted on an ongoing web based class project site and each persons personal web portfolio for display on the internet. All pages and portfolios shall conform to internet safety standards and acceptable language and content policies.
Artifact Creation Rubric
Oral Presentation Rubric
Consider Peer Findings and Feedback:
A formal peer review shall be done as a discussion post on the class webpage and shall be completed appropriate to said venue with regard to commentary, language and content. This review/reflection is a graded activity of self and peer assessment skills.
Create a dedicated page on you personal web portfolio which includes an introduction, pictures, your data sheet and PowerPoint embedded or linked, and a summary of what you learned. Submit to Mr. Taylor as a "turn in" on Engrade: a word document containing a text copy of your summary as it appears on your web portfolio, your data sheet (embedded Excel if necessary), and just below the summary text an active link to your site that links directly to the page you created.
Complete a peer evaluation assessment of your group members. This will be anonymous between students, but will help to adjust peer grades with respect to their cooperative work ethic and mannerisms. No one wants to have an unpleasant experience when working in groups...this will help to drive discussions between Mr. Taylor and individuals with regards to attitude, work ethic, and respect.
Please BE HONEST with your rubric scores. You will be required to do one for each member of your group. Complete the rubrics to assess all members of your group.
(each page is for a n individual member).
Mr. Taylor will compare your assessments with his anecdotal notes and observations. These should support one another if you are honest with your feedback...if they do not a meeting with Mr. Taylor may be required to discuss said discrepancies.
Click here to download your Peer Assessment Rubric. After completing this save it to your desktop as a file name formatted as follows:
(Meaning: period number, group number, First initial, Last name)
then submit this file as a "turn in" to Mr. Taylor on Engrade.