Today’s Lesson. Applying the Counting Principle of Addition and Multiplication. Warm-Up Activity. Today we will warm up by creating a tree diagram. Draw a tree diagram for the following:
Applying the Counting Principle of Addition and Multiplication
Today we will warm up by creating a tree diagram.
You are shopping for a T-shirt, and it comes in sizes S, M, L, or XL; colors of white, black, and gray; and textures of solid or tie-dye. How many different shirts are you able to choose from?
= 24 choices
Draw another tree diagram for the following:You are buying gas for your car and can choose a grade of 87, 89, or 93. You can pay by cash, check, credit card, or debit card. How many different choices do you have to choose from?
Write the outcomes at the right of the tree diagram and the number of choices with the description below the tree diagram. Compare the two tree diagrams. Do you see a pattern?
Today you will be applying the Counting Principle of Addition and Multiplication.
How many individual choices do you have?
• black, gray, or white? (3)
• small, medium, large, or extra large? (4)
• 87, 89, or 93? (3)
• solid or tie-dye? (2)
Each sum represents the Counting Principle of Addition.
How many possible outcomes are there to choose from if a T-Shirt comes in 4 sizes, 3 colors, and 2 textures?
Multiplying the sums represents the Counting Principle of Multiplication.
Use the Counting Principle of Addition and Multiplication to determine the possible outcomes
Menuentrée choices:beef or chickenside choices: corn, potatoes, beans, or carrotsdessert choices: cake or pie
Sides = 4
Desserts = 2
2(4)(2) = 16