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I.
Probability Topics:
A.
NCTM
Standards addressed
Instructional
programs from prekindergarten through grade 12 should enable all
students to:
- Understand the concept of sample
space
and
construct sample spaces in simple cases;
- Understand the concept of independent
events;
- Understand how to compute the
probability of a compound event.
B.
Related
Connections
Games
II.
Assumed Prior Experience With:
percentages, pie charts,
playing cards
III.
Rationale
IV.
Learning Objectives:
Students will discuss and
gain experience with independent
events, sample spaces,
equally likely probabilities, probability
of the intersection of two independent events, probability
of the union of two events, percentages, and complements
of given events within the context of these simulations.
V.
Materials & Technology Needed:
Computer lab set up such that:
- Each computer has Microsoft Excel.
- Each computer has access to the
" One Card and Two Cards"
excel file from the
"What are the Odds?" website.
We
have provided tips for you on using
spreadsheet simulations.
" One Card and Two Cards"
handouts for
each student
Deck of
Playing Cards
VI.
Procedure:
1. Begin
by demonstrating several trials of the two experiments with a deck of
cards to make sure that students understand the nature of the experiments
simulated by the software.
2. Have
each student open up the "One Card and Two Cards" spreadsheets and explore
for about five minutes in order to give them opportunities to ask
logistical questions.
3. Pass
out the "One Card and Two Cards" worksheets and let them begin to work
through it with partners, comparing as often as necessary with other
groups.
4. Circulate
continuously, paying close attention to answers on the One Card sheet so
that great misconceptions can be identified early on.
5. Have
students generalize aloud what they have learned about independent events.
VII.
Assessment:
Thorough examination of the handout both
during and after the lesson will allow you to get a feel for what students
are thinking about while simulating the experiments.
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