Functions in Everyday Situations Modified Task:
There are not a ton of experiments and tasks outside of physics that have been written by teachers using this application, so I have extended a task I used in the classroom to include the use of this technology.
This was a task I have used in the CCGPS Analytic Geometry classroom in the Quadratic Functions unit as a pre-view to the unit. The task actually fits better in the CCGPS Coordinate Algebra curriculum Unit 3 or 4 as you can see from the curriculum map below.
This was a task I have used in the CCGPS Analytic Geometry classroom in the Quadratic Functions unit as a pre-view to the unit. The task actually fits better in the CCGPS Coordinate Algebra curriculum Unit 3 or 4 as you can see from the curriculum map below.
Original Task:
Task Extension
To extend this task using the Vernier tools, I would ask students to work with their groups to capture and submit a video of each function type we discussed. Using this video students would be challenged to generate a model a function to the video using the Vernier tools. After, they would be asked to create their own set of "Functions and Everyday Situations" cards (1 for the expression, 1 for the graph, and a paragraph about the context/key context question) for each graph (for a total of 12 cards. Having students reverse engineer the original task with the technology provided provides a more profound and engaging task for students and enhances the original intent of the task.
As a class, some examples could be selected, or groups could be asked to present their videos and real world findings. You could discuss the context and key features (domain, range, maximum/minimum, vertex, etc.) of their models in paragraphs (or presentations to the class). Students could then be asked what they learned about functions and function patterns.
As a class, some examples could be selected, or groups could be asked to present their videos and real world findings. You could discuss the context and key features (domain, range, maximum/minimum, vertex, etc.) of their models in paragraphs (or presentations to the class). Students could then be asked what they learned about functions and function patterns.
Other Task Ideas:
-Mission Impossible Task (In Class Task provided by Dr. Smith). Perhaps update the task so students can see how moving up/down, left/right, rotating horizontally/vertically impacts the graph models to move the task into high school mathematics.
-Vernier Experiments: http://www.vernier.com/products/books/pva/
-Dan Meyer "Will it Hit the Hoop" Task: http://blog.mrmeyer.com/2010/wcydwt-will-it-hit-the-hoop/
-Vernier Experiments: http://www.vernier.com/products/books/pva/
-Dan Meyer "Will it Hit the Hoop" Task: http://blog.mrmeyer.com/2010/wcydwt-will-it-hit-the-hoop/