Chapter 2 –
Make a Systematic List – Day 1
POD – Count the Squares
Put a couple of solutions on
transparency, discuss and compare
Discuss Questions over problems from Chapter 1
Chapter
2 - Transparency
on problem 6
Make
a Systematic List - organize the information
The Make a
List strategy may be appropriate when:
A list of data is given
Data can easily be generated
A sequence or series of numbers is
involved
Listing special cases helps you deal
with complex problems
You are asked to make a prediction or
generalization
Information can easily be organized
and presented
Listing the results obtain by using
Guess and Check
Asking “in how many ways” something
can be done
Trying to learn about a collection of
numbers generated by a rule or formula
There is often
more than one correct method of devising systematic lists.
Making the
list SYSTEMATIC is extremely important.
Try to
exhaust ALL possibilities as the list is created.
Alice, Bob,
Carol, David, Elaine, and Fred are the six players in a round-robin tennis
tournament. Each player will play a set
against each of the other players. List
all the sets that need to be played.
a) First try listing if only a
four player round-robbing with Alice, Bob, Carol and
David playing.
b) Do the original problem of six
players
(**This
problem can be made easier by reducing the number of players**)
Leslie has
25 cents in her pocket, but does not have a quarter. If you can tell her all possible combinations
of coins he could have that add up to 25 cents, she will give you the 25 cents.
For her
Shakespeare course, Kristen is to read all five of the following plays and
choose three of them to write papers about:
Richard III (A), The
tempest (B), Macbeth (C), A Midsummer Night’s Dream (D), and Othello (E). How many different sets of three books can
Kristen write papers about?
Assignment - POD
– Frisbin
Homework:
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