May 17

# Review of Algebra 2

These are graded assignments for 5 days.

Friday May 19: simplify fractions and complex fractions;
4 situations, graph and equations

Monday May 22: Group Activity
Another 4 situations, graph and equations

Tuesday May 23: Divide polynomial by monomial and binomials

Wednesday May 24: Group Activity
Domain & Range notation

Thursday May 25: Solving polynomials

May 12

# Final Exam Review

## Final Exam Thursday May 18th

40 mutliple choice questions:  calculator and formula sheet will be provided

### Resources

CK12_Prob_Stat_Basic

Math Book (10-DASP) FREE PDF

### Topics

Prob sem 2 final content

### Online Explanations and Practice

Each topic has multiple explanations and practice

• Two Way Table:  frequency and relative frequency

Probability:  all 10 section

Binomial Probability

Studying for a test in Probability?  Khan Academy practice

Math Is Fun:  Using and Handling Data

Each topic has an explanation and questions at the bottom

Probability and Statistics

• Probability:  The Basic Counting Principle; Relative Frequency; Lotteries

Events:  All topics

Combinations and Permutations:  Both topics

Random Variables:  All topics

The Binomial Distribution: The Binomial Distribution

May 2

# Probability Project

You are to design a probability game of chance like a carnival game.
You may work individually or in a group of 3.
You must get your idea approved. Keep it simple as you need to calculate all the theoretical probabilities.
You need to make the game and it will be played in class so you can calculate the experimental probabilities.
See the attached guidelines and rubric for details.

Dates:
Friday April 28 – turn in outline and group names
Monday to Wednesday May 1 to 3 – conference with Mrs. Pikula
Monday May 8 – Demo
Tuesday and Wednesday may 9 and 10 – Play the games
Thursday May 11 – group calculation/discussion time
Friday May 12 – individual reflection
Friday May 12 – all papers due end of the hour
Probability Game Project 2017

April 17

WebQuest

# Games of Chance WebQuest

## Introduction

You are assigned to create a game of chance for your Senior Party.
The best games, as determined by your probability class, will be presented to the
Senior Party Committee.

Are you up for the challenge?

## Information

In order to create a game based on chance alone you must have an
understanding of probability and randomness. This webquest will send you on a gaming spree.
It is designed to give you experience as a player and some ideas to base your game design on.

You are to play three games online. Gather data and respond to the set of questions.

Play each game 30 times, make a table, like the one here, to keep track of total wins and losses

Find the experimental probability of winning.

Decide if the game is based on chance alone.

Name of Game # Wins P(Win) or E(X) Pure Chance?
Monty Hall (stick)
Monty Hall (switch)
Lottery
Spinner (5 sections)

Questions

1. Explain probability in terms of games.

2. Explain randomness in terms of games.

3. Are any of these games “fair”? Explain your answer with specific examples.

4. What did you like and dislike about the games?

## Conclusion

Create an outline for your game that includes

P(winning)

Material List

Set up / Rules

## Resources

Go to:

Monty Hall Practice

Play the game a few times to get an understanding of how it works.
Do not keep track of any data. Look at the data for those who switched and those who stayed.
What do you think the best strategy is?

Go to:
Monty Hall Game

Play the game 30 times by staying with your original choice. The simulation puts a hand on the door your selected. Click on “Let’s do it again!” between each game.
Play the game 30 times by switching your original door after the “pig” is revealed.

The simulation keeps track of how many games you played of each, how many you won and the experimental probability of winning.

Record your data after you play 30 games of each.

Based on your data, which is the best strategy?

Go to:
Lottery Simulation

Simulate the purchase of 10 \$2 lottery tickets.
Keep track of how much you won, your cost and your net.

Click on “RESET” and play again.
Play until you have played 30 games (each with 10 tickets)

How much money did you win out of 30 games?

How much money did you spend to play 30 games?

How much money did you win altogether?

In the long run, what is your expected winnings?
(hint: you need to find the sum of the probability of each match and multiplied by the amount you can win)

Go to:
Spinner

Change the number of sectors to 5. Select one color.

You are going to find the experimental probability of getting that color in 30 spins.
Type in 30 for the number of spins.
Click on spin, then click on Skip to End to see the results from all 30 spins. Record the count, experimental and theoretical probabilities.

Change the number of sectors to another value of your choice. Record the data for 30 spins each.

Is there a relationship between the number of sectors and the closeness of the experimental to theoretical probability?

## Rubric

Completed Table Table is incomplete Table is complete Table is complete and correct
Answered Task Questions Explanations are weak, incorrect and/or lack examples Explanations are complete but either incorrect or lack examples Explanations are complete, correct and include examples
Outline of Game Outline is incomplete Outline is complete but hard to figure out the game’s instructions and/or rules Outline is complete, includes P(winning), materials, instructions and rules

April 17

# Games Practice

Worksheets
1. Three Disks – use 3 pennies to simulate the game.
2. Geometric Area Probability

Games to Play
1. 21 Smiley Faces
Rules: Use Rock, Paper, Scissors to determine who goes first. The first player gets to select one, two or three smiley faces in a row. The other player gets to select one, two or three smiley faces in a row. You are to force the other player to take the last face :(.

2. Buffone Needle Drop
You are to get 30 toothpicks. Stand at the edge of the mat and drop one toothpick at a time on the mat. Count the number of toothpicks that do not touch a line. Find the P(not touching).

3. Circle Disks

Select one set of 5 circles.  Go into the hallway and find a large area.  Drop the 5 circles on the floor.  Count the number of disks that do not touch the edge of a square tile.  Pick up the disks and repeat until you have dropped 30 disks.  Find the P(not touching).

Repeat with a different size disk.

4.  Class Discussion and Conclusion

After we discuss the games rules, calculate theoretical probabilities and discuss chance and randomness you are to write a conclusion that uses specific examples from the 3 games.

March 20

# Probability Distributions

4.1  Probability Distributions

Notes Random Variables, Discrete, Continuous, Discrete Probability Distribution

Example and Try Its 1 to 4

3/17  Practice p. 201 # 1 to 20

3/30  Practice pp.202-3 #23-28 and #29-34 distribution only

How to use a graphing calculator to make distributions

Mean, variance and standard deviation of a distribution

Finish practice #29-34

Expected Value #35-40

Games of Chance #45-46

February 27

# Basic Probability Continued

2/27  Case Study:  Real World Application p. 171, individual, graded

2/28-3/2  3.4 Permutations and Combination notes and practice 1-18

3/6  Applications of permutations and combinations, notes and practice #19-28, 35-44, 49, 52

Monday March 13 (due to power outage day) Test section 3.4

Tuesday March 14th Test Part 2:  probability problems with permutations and combinations

Real Statistics – Real Decisions Activity with Partner p. 190

Practice Problems with solutions

January 29

# Probability Basics Chapter 3

3.1.

Read and Take Notes : copy all definitions, formulas, guidelines.  Read and work through all examples. Do all Try Its in your notes and check answers in the appendix.

Try It #1, 2, 3 Practice:  pp. 142-4 # 5-16

Try It # 4, 5, 6, 7, 8 Practice:  pp.143-5 #21-30, 35, 36, 43, 44

Activity:  Coin Toss

Feb. 7 Activity:  #63

Feb 3  pp. 142-4 # 1, 2, 31-35, 37-41

3.2.  Conditional Probability and the Multiplication Rule

Read and Take Notes Example 1 and Try It #1

Practice Worksheets for Conditional Probability

Two-way Table Tutor

Read and Take Notes Ex and Try It 2

Worksheet Practice

Feb. 10 pp.145-7 #45-52, 55-58, 60 & pp.154-7 #5-8, 16, 23

Read and Take Notes Ex and Try Its 3, 4 , 5

Practice:  Worksheet

6.3  Mutually Exclusive

Read and Take Notes Ex and Try Its

Practice:  pp. 165-8 # 1-12, 14, 17, 18, 23, 24

Review:  pp.185-7 # 1-30

Test Thursday Feb 16 3.1, 3.2 and 3.3

Two-Way Table Calculator activity

Bring games to school on Friday Feb 17:  Games of Skill vs Games of Chance activity