Transcript 14.1 Counting Principle and Tree Diagram - Miss-Stow-Math

SWBAT find the number of possible outcomes by
making a tree diagram
SWBAT find the number of possible outcomes by
using the Fundamental Counting Principle
Vocabulary
 Tree Diagram-used to make the process of analyzing
all the possible outcomes for a combination event
simpler
 Fundamental Counting Principle-if there are m ways
for one event to occur and n ways for a second event to
occur, then there are m * n ways for both to occur
Problem 1
T-shirt Order Form
Name:______________
Size
Small
Medium
Large
X-Large
Homeroom:_______
Color
White
Green
Maroon
Design
School Seal
Mascot
Tree Diagram
Seal
Wh
Mascot
Seal
Sm
Gr
Mascot
Seal
Mar
Mascot
Seal
Wh
Mascot
Seal
Med
Gr
Mascot
Seal
Mar
Mascot
Seal
Wh
Mascot
Seal
Large
Gr
Mascot
Seal
Mar
Mascot
Seal
Wh
Mascot
Seal
XL
Gr
Mascot
Seal
Mar
Mascot
Fundamental Counting Principle
4 ∙ 3 ∙ 2 = 24
Problem 2
Design your own
Choose 1 pasta and 1 sauce
Pasta
Spaghetti
Linguini
Penne
rotini
$8.95
Sauce
meat
marinara
alfredo
Tree Diagram
Spaghetti
Meat
Marinara
Alfredo
Meat
Linguini
Marinara
Alfredo
Meat
Penne
Marinara
Alfredo
Meat
Rotini
Marinara
Alfredo
Fundamental Counting Principle
4 ∙ 3 = 12
Problem
3
Make your own Gelati
Size
Kids
Small
Regular
Ice Cream Flavor
Twist
Chocolate
Vanilla
Water Ice Flavor
Mango
Cherry
Lemon
Blue Raspberry
Mango
Cherry
Twist
Lemon
Tree Diagram
Blue
Raspberry
Mango
Cherry
Kids
Chocolate
Lemon
Blue
Raspberry
Mango
Cherry
Vanilla
Lemon
Blue
Raspberry
Mango
Cherry
Twist
Lemon
Blue
Raspberry
Mango
Cherry
Small
Chocolate
Lemon
Blue
Raspberry
Mango
Cherry
Vanilla
Lemon
Blue
Raspberry
Mango
Cherry
Twist
Lemon
Blue
Raspberry
Mango
Cherry
Regular
Chocolate
Lemon
Blue
Raspberry
Mango
Cherry
Vanilla
Lemon
Blue
Raspberry
Fundamental Counting Principle
3 ∙ 3 ∙ 4 = 36