Math In Basketball Lesson Page 6

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• Step 6: Report on the conclusions and the reasoning behind them. (This step
allows students to explain their strategy and justify their choices in a specific
context.)
Ongoing Assessment: Ask students to reflect upon the following:
o How can you combine the three key variables: acceleration of gravity, initial
vertical velocity, and release height, to determine the maximum height of the
basketball?
o At what time(s) does the ball reach 10 feet?
o At what time does the ball reach the maximum height?
o Is there only one path or trajectory for this to occur using Elton’s stats? How do
you know? (You may wish to have students solve graphically to determine that
this is the path using the given stats.)
9. After students have completed the activity, ask students to share their solutions and
problem-solving strategies with the class through discussion and visual materials,
such as chart graph paper, grid whiteboards, overhead transparency grids, etc.
Encourage students to discuss how their strategy helped (or didn’t help) figure out
the maximum height of the path of the ball during the free throw shot. Ask students
to discuss any difficulties they faced in completing the challenge and how they
overcame those obstacles.
10. As students present their solutions, ask them to discuss the mathematics they used
in solving the challenge. (Sample responses: Using a graphical model by plotting
(time, distance) points for the start time and release height (0, 7), and the end time
and rim height (t, 10) on a coordinate graph; representing functions using a
mathematical model such as a table of values; identifying variables and writing
expressions and/or a quadratic equation; using the properties of the graph of the
equation to find the value of the x-coordinate of the vertex (−
), then solving the
equation for t to find the maximum height at this time; using a quadratic equation
and solving by factoring, completing the square, or the quadratic formula.)
11. Introduce the Math in Basketball: See how the teams solved the challenge video
segment by letting students know that they will now be seeing how the teams in the
video solved the basketball challenge. Ask students to observe what strategies the
teams used and whether they are similar to or different from the strategies presented
by the class.
12. Play Math in Basketball: See how the teams solved the challenge. After showing the
video, ask students to discuss the strategies the teams used and to compare them to
the strategies presented by the class. How are they similar? How are they different?
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