Movement with Functions
These investigations use movement to reinforce the concepts of linear functions and systems of equations. Multiple representations are used throughout, along with tools such as motion detectors and remote-controlled cars. Students explore how position, speed, and varying motion are reflected in graphs, tables, and algebraic equations. This investigation uses a motion detector to help students understand graphs and equations. Students experience constant and variable rates of change and are challenged to consider graphs where no movements are possible to create them. Multiple representations are used throughout the lesson to allow students to build their fluency with in how graphs, tables, equations, and physical modeling are connected. The lesson also allows students to investigate multiple function types, including linear, exponential, quadratic, and piecewise.
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- Measure distances in centimeters.
- Record data in a table.
- Order data and determine median and range.
- Help the students to order the medians for the group and to determine the median of the medians and the range for the group. Compare individual scores to the group's median and range, emphasizing the amount of variation.
- Display the pitching cards, the personal data, and the pitching data. Compare these data to the data on the traditional baseball cards.
- Computer with internet access
- Pitching Cards Activity Sheet
- Meter sticks
- Unlined index cards (5 per student)