id: 06466652
dt: j
an: 2015e.00829
au: Naresh, Nirmala; Royce, Bridget
ti: Dropping in on the math of Plinko.
so: Math. Teach. Middle Sch. 19, No. 4, 214-221 (2013).
py: 2013
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: K53 K93 A23 D83
ut: games; mathematical concepts; activities; probability; real-life problems;
experiments; simulation; Pascal’s triangle
ci:
li: http://www.nctm.org/publications/article.aspx?id=39840
ab: Summary: The game of Plinko offers students an exciting real-world example
of the applications of probability and data analysis. The Common Core
State Standards for Mathematics and the Guidelines for Assessment in
Statistics Education (GAISE) suggest that students in grades 6‒8 be
given ample opportunities to engage in activities and simulations to
make predictions and to gather experimental data to test and validate
their predictions. Plinko-based mathematical explorations allow
students to use technology to generate simulations and employ the data
to make informed predictions and inferences. Several mathematical
concepts can be explored using a Plinko board. Documented
Plinko-related mathematical investigations have highlighted high school
students’ notions of Pascal’s triangle, experimental and
theoretical probability, and expected value. For this lesson, the
authors made a conscious decision to focus on experimental probability
because the goals were to give students an opportunity to engage in an
interesting activity, perform simulations, generate conjectures, and
use experimental data to test the conjectures. This article describes
how students design game boards and gather experimental data to better
understand the hidden mathematics in a common television game show.
(ERIC)
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