course 1 11-4 make an organized list 6 th grade math homework page 590-591 #1-8 and #13

Course 1

11-4 Make an Organized List

6th Grade Math HOMEWORK

Page 590-591

#1-8 and #13

Course 1


Students will understand probability by completing the following assignments.

• Learn to estimate the likelihood of an event and to write and compare probabilities.

• Learn to find the experimental probability of an event.

• Learn to find the theoretical probability of an event.• Learn to make an organized list to find all possible

outcomes. • Learn to list all the outcomes and find the theoretical

probability of a compound event. • Learn to use probability to predict events.

Today’s Learning Goal Assignment

Learn to make an organized list to find all possible outcomes.

Course 1



Course 1

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Warm UpA game die with eight sides numbered 1 through 8 is rolled. Find each probability.

1. P(1, 2, or 3)

2. P(even number)

3. P(number greater than 9)

Course 1


38__

12__

0

Problem of the Day

Sam and Pam can have an apple, an orange, or a pear. What is the probability that they will pick the same snack?

Course 1


13__

Course 1


When you have to find many possibilities, one way to find them all is to make an organized list. A tree diagram is one way to organize information.

Course 1

11-4 Make an Organized List Additional Example 1: Using a Tree Diagram Matt wants to take a 3-day weekend trip to visit his grandparents. He can take either Friday or Monday off from work, and he can either fly, drive, take a train, or take a bus. How many options are available to Matt?

Friday

Monday

fly drive take a train take a bus

Friday and fly Friday and drive Friday and take a train Friday and take a bus

fly drive take a train take a bus

Monday and fly Monday and drive Monday and take a train Monday and take a bus

Course 1


Additional Example 1 Continued

Follow each branch on the tree diagram to find all of the possible outcomes. There are 8 different weekend trip combinations available to Matt.

Course 1

11-4 Make an Organized List Try This: Example 1

For her work uniform, Missy has a choice of three colors of pants—black, khaki, or navy. She has four choices for shirt colors—red, white, green, and yellow. How many different uniforms can Missy wear?

black pants

khaki pants

red shirt white shirt green shirt yellow shirt

black pants and red shirt black pants and white shirt black pants and green shirt black pants and yellow shirt


khaki pants and red shirt khaki pants and white shirt khaki pants and green shirt khaki pants and yellow shirt

Course 1



Follow each branch on the tree diagram to find all of the possible outcomes. There are 12 different uniform combinations available to Missy.

navy pants

navy pants and red shirt navy pants and white shirt navy pants and green shirt navy pants and yellow shirt


Course 1


Additional Example 2: Problem Solving Application

One girl and one boy will be chosen to go to the state science fair. The girl finalists are Alia, Brenda, Cathy, Deb, and Erika. The boy finalists are Frank, Greg, and Hal. How many different pairs of one girl and one boy can be formed?

Course 1



11 Understand the Problem

The answer will be the number of different pairs of one girl and one boy.

List the important information:

• There are five girls, A, B, C, D, and E.

• There are three boys, F, G, and H.

• Only one girl and one boy will be chosen.

Use each student’s first initial.

Course 1


You can make an organized list to keep track of the sequences.

22 Make a Plan


Course 1


Solve33• List all the pairs that begin with A. AF, AG, AH

• List all the pairs that begin with B. BF, BG, BH

• List all the pairs that begin with C. CF, CG, CH

• List all the pairs that begin with D. DF, DG, DH

• List all the pairs that begin with E. EF, EG, EH


There are 5 groups of 3 pairs.

3 + 3 + 3 + 3 + 3 = 15

There are 15 pairs of one girl and one boy.

Course 1


You could have made a list beginning with a boy’s name. There would be 3 groups of 5 pairs.

5 + 5 + 5 = 15

Look Back44

Each list will have 15 pairs of one girl and one boy.


Course 1


Try This: Example 2

One girl and one boy will be chosen to go to the movie preview. The girl finalists are Fay, Gerri, Heidi, and Ingrid. The boy finalists are Kevin, Larry, and Marc. How many different pairs of one girl and one boy can be formed?

Course 1


Try This: Example 2 Continued

11 Understand the Problem

The answer will be the number of different pairs of one girl and one boy.

List the important information:

• There are five girls, F, G, H, and I.

• There are three boys, K, L, and M.

• Only one girl and one boy will be chosen.

Use each student’s first initial.

Course 1


You can make an organized list to keep track of the sequences.

22 Make a Plan


Course 1


Solve33• List all the pairs that begin with F. FK, FL, FM

• List all the pairs that begin with G. GK, GL, GM

• List all the pairs that begin with H. HK, HL, HM

• List all the pairs that begin with I. IK, IL, IM


There are 4 groups of 3 pairs.

3 + 3 + 3 + 3 = 12

There are 12 pairs of one girl and one boy.

Course 1


You could have made a list beginning with a boy’s name. There would be 3 groups of 4 pairs.

4 + 4 + 4 = 12

Look Back44

Each list will have 12 pairs of one girl and one boy.


Lesson Quiz

1. A baseball coach has 4 pitchers, 3 catchers, and 2 shortstops on his team. How many different combinations of players can he use for the positions?

2. You are taking a 5-question true/false test. How many possible combinations of answers are there?

3. You are planning a small game booth at the local street fair. You have a choice of 3 games and 4 different prizes. How many combinations of games and prizes are there?

10

24

Insert Lesson Title Here

12

Course 1


course 1 11-4 make an organized list 6 th grade math homework page 590-591 #1-8 and #13

Documents