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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:

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Presentation Transcript
slide1

Today’s Lesson

Applying the Counting Principle of Addition and Multiplication

slide2

Warm-Up Activity

Today we will warm up by creating a tree diagram.

slide3

Draw a tree diagram for the following:

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?

slide5

Write the outcomes at the right of the tree diagram and the number of choices with the description below the tree diagram.

slide6

Textures: 2

Sizes: 4

Colors: 3

sws

mws

lws

xlws

xlwt

swt

mwt

lwt

lbs

xlbs

sbs

mbs

xlbt

lbt

mbt

sbt

lgs

xlgs

mgs

sgs

mgt

lgt

xlgt

sgt

= 24 choices

slide7

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?

slide9

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?

93cash 93check 93cc 93dc

Grade: 3

Payment: 4

87cash 87check 87cc 87dc

93cash 93check 93cc 93dc

89cash 89check 89cc 89dc

=12 choices

slide11

Whole-Class Skills Lesson

Today you will be applying the Counting Principle of Addition and Multiplication.

slide12

The Counting Principle of Addition

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.

slide13

The Counting Principle of Multiplication

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.

slide14

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

slide15

Entrees = 2

Sides = 4

Desserts = 2

2(4)(2) = 16