Before Class Work

1
Before Class Work
Name
TG
3/6/06
Draw and label the rectangle for the equation
below in the space provided. Write an equivalent
expression in expanded form.
factored form
(3x1)(2x4)
expanded form
2
Stat of the Day

• According to www.askmen.com, once an employer has
  evaluated the way you present yourself, what's
  the second most important quality you will be
  judged on when youre on a job interview?

3
Types of Handshakes
4
Frogs, Fleas, and Painted Cubes
Investigation 3.1 Counting Handshakes Page 41
5
Counting Handshakes

• After a sporting event, the opposing teams often
  line up and shake hands. To celebrate their
  victory, members of the winning team congratulate
  each other with a round of high fives.

6
Case 1 Two teams with the same number of players
shake hands.
7
Case 2 Two teams with the different number of
players shake hands.
8
Case 3 Members of the same team exchange high
fives.
9
Case 1 Two teams with the same number of players
shake hands.

• How many handshakes will take place between two
  basketball teams with 10 players each? Show your
  work.
• How many handshakes will take place between two
  soccer teams with 15 players each? Show your
  work.
• Write an equation for the number of handshakes,
  h, between two teams with n players. Show your
  work.

10
Celtics vs. Lakers
11
Case 2 Two teams with the different number of
players shake hands.

• How many handshakes will take place between a
  basketball team with 10 players and a basketball
  team with 9 players? Show your work.
• How many handshakes will take place between a
  field hockey team with 15 players and a field
  hockey team with 14 players? Show your work.
• Write an equation for the number of handshakes,
  h, between two teams with one team having one
  less player.

12
Celtics vs. Lakers
13
Case 3 Members of the same team exchange high
fives.

• How many high fives will take place among an
  academic quiz team with 4 members?
• Show your work.
• How many high fives will take place among a golf
  team with 12 members?
  Show your work.
• Write an equation for the number of handshakes,
  h, that will take place among a team with n
  players.

14
Case 3
15
For cases 1,2, and 3, make a table showing the
number of players on each team from 1-10 and the
number of handshakes or high fives.
CASE 1
CASE 2
16
For cases 1,2, and 3, make a table showing the
number of players on each team from 1-10 and the
number of handshakes or high fives.
CASE 3
17
Graph all three cases on this coordinate plane.
The independent variable is the number of players
and the dependent variable is the number of
handshakes.
Handshakes
Players