Unit 12 probability homework 1 intro to sets venn diagrams

This Probability Unit Bundle contains guided notes, homework assignments, two quizzes, a study guide and a unit test that cover the following topics:

• Introduction to Sets (Universal Set, Complement of a Set, Subsets, Union, Intersection - just basic!)

• Venn Diagrams

• Counting Outcomes (Fundamental Counting Principle)

• Theoretical Probability

• Experimental Probability

• Geometric Probability (Segments, Area, and Volume)

• Compound Probability: Independent Events

• Compound Probability: Dependent Events

• Conditional Probability

• Two-Way Tables

• Relative Frequency Two-Way Tables

• Probability with Two-Way Tables

• Permutations

• Combinations

• Probability with Permutations and Combinations

ADDITIONAL COMPONENTS INCLUDED:

(1) Links to Instructional Videos: Links to videos of each lesson in the unit are included. Videos were created by fellow teachers for their students using the guided notes and shared in March 2020 when schools closed with no notice.  Please watch through first before sharing with your students. Many teachers still use these in emergency substitute situations.

(2) Editable Assessments: Editable versions of each quiz and the unit test are included. PowerPoint is required to edit these files. Individual problems can be changed to create multiple versions of the assessment. The layout of the assessment itself is not editable. If your Equation Editor is incompatible with mine (I use MathType), simply delete my equation and insert your own.

(3) Google Slides Version of the PDF: The second page of the Video links document contains a link to a Google Slides version of the PDF. Each page is set to the background in Google Slides. There are no text boxes;  this is the PDF in Google Slides.  I am unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead! 

This resource is included in the following bundle(s):

Geometry Second Semester Notes Bundle

Geometry Curriculum

Geometry Curriculum (with Activities)

More Geometry Units:

Unit 1 – Geometry Basics

Unit 2 – Logic and Proof

Unit 3 – Parallel and Perpendicular Lines

Unit 4 – Congruent Triangles

Unit 5 – Relationships in Triangles

Unit 6 – Similar Triangles

Unit 7 – Right Triangles and Trigonometry
Unit 8 – Polygons and Quadrilaterals

Unit 9 – Transformations

Unit 10 – Circles
Unit 11 – Volume and Surface Area

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at .

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

© All Things Algebra (Gina Wilson), 2012-present

Chapter 8

Link to worked out solutions

23-8: Check-In & Course Outline & Math Policies and Expectations

• Warm-Up: Check-In Norms
• Receive Digital textbooks
• My philosophy on being a math learner/problem solver.
• My expectation is that you read the course Outline & Math Policies and Expectations. The two documents can be found on the class website. After you have read, complete the questionnaire below you may reference the documents if needed.

• Class 2017 DP Course Outline & Math Policies and Expectations

  
  

• Game of Greed

25-8: 8.1 Basic set theory & 8.2 Subsets

Lesson Goal: I will be able to watch and video online, take notes along with the video, and prepare questions to ask after the video.

    I will be able to identify basic concepts of set theory; elements, subsets, intersection, union and compliment.

• Warm Up:
  

• Watch the following three videos and take notes on Sets, Set builder notation, and Compliments of sets.

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• Problem Set: Exercise 8A pg. 334 #1-3, 8B pg. 336 #1-7 odd, 8C pg. 337#1-3

• Homework, Watch videos and take notes on Venn diagrams, Venn diagram regions, and Numbers in Regions.

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29-8: 8.1 Basic set theory & 8.2 Venn Diagams Continued

Lesson Goal: I will be able to use set builder notation, place items in Venn diagrams, and identify subsets.

• Warm Up: Write the set {17, 18, 19, 20, 21, 22} using set builder notation.
• Notebook check and ask question about notes for: Complements of Sets, Venn Diagrams, Venn diagram Regions, Numbers in Region.
• Problem Set: Exercise 8A pg. 334 #1-3, 8B pg. 336 #1-7 odd, 8C pg. 337#1-3, 8D pg.340 #1,4

31-8: 8.2 Venn Diagrams, 8.3 Extending to three sets

Lesson Goal: I will be able to use Venn diagrams with three sets and identify intersections, unions, and compliments of sets.

• Warm Up: 
  

• Questions on Homework, check for completion.

• Work Example 8 pg. 343 as a Class

• Problem Set: 8F pg. 344 #1-4, 8G pg. 346 #1-9

• Homework Copy Example #10 on pg. 348-349 for Notes.

6-9: 8.4 Problem-solving using Venn diagrams

Lesson Goal: I will be able to solve problems with three Venn diagrams.

• Warm Up: Of the 32 students in a class, 18 play violin, 16 play the piano, and 7 play neither. Draw a Venn diagram to show this information. Find the number of students who:
• play the violin but not the piano
• do not play the violin
• play the piano but not the violin
• play the piano or the violin, but not both.
• Question over Example 10 or homework 8F, 8G, answer questions on Exercise 8I #1 as a class.
• Problem Set: pg. 350 8I #2,4,6
• Homework watch video & take notes on Experimental Probability, Theoretical Probability, Probability and Venn Diagrams & Laws of Probability.

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8-9: 8.5 Basic Probability Theory

Lesson Goal: I will be able to 

• Warm Up(actual Exam Question 2015): 
  • A group of 100 customers in a restaurant are asked which fruits they like from a choice of mangoes, bananas and kiwi fruits. The results are as follows.
  • 15 like all three fruits
  • 22 like mangoes and bananas
  • 33 like mangoes and kiwi fruits
  • 27 like bananas and kiwi fruits
  • 8 like none of these three fruits
  • x like only mangoes
  • Copy the following Venn diagram and correctly insert all values from the above information.
  • The number of customers that like only mangoes is equal to the number of customers that like only kiwi fruits. This number is half of the number of customers that like only bananas.
  • Complete your Venn diagram from part (a) with this additional information in terms of x.
  • Find the value of x.
  • Write down the number of customers who like
  • (i) mangoes
  • (ii) mangoes or bananas.
• Check: 4 Notes & Problem Sets 8I.
• DICE Game time; Groups of two and record 1 point for each roll on a a scrap piece of paper, first player to 25 WIINS! When you have finished your match record results in Google Sheet Below.
• Game One Differences:

• Game Two Max:

Dice Games

• Problem Set: pg. 354-355 #1,2,5
• Reminder Quiz Over 8.1-8.4 on Monday 12-9
• Homework: Watch Video and take notes on Conditional Probability

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12-9: Quiz Over Chapter 8.1-8.4 & 8.5 Basic Probability

Lesson Goal: I will measure my understanding of sets and problem solving with Venn diagrams.

• Find the theoretical probability of the game from Thursday: Game Two Max:

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Player 1 Wins if:	Max of the two dice is 1,2,3,5
Player 2 Wins if:	Max of the two dice is 4 or 6



• Quiz Over Chapter 8.1-8.4
• Problem Set: pg. 354-355 #1,2,5
• Homework: Watch Video and take notes on Conditional Probability (Posted on Thursday)

14-9: Quiz Corrections & Create Venn Diagram Problem

Lesson Goal: I will identify my errors in logic in problems solving with sets and make adjustments to correct my thinking.

• Warm Up: A random experiment is: roll an unbiased six-faced dice. Let A be the event 'roll a even number' and let B be the event 'roll a number greater then 4'.
• List the elements in A.
• List the elements in B.
• Show sets A and B on a Venn Diagram.
• P(A)
• P(B)
• Find the probability the the number rolled is not even.
• Find the probability that the number rolled is even or greater then 4.
• Find the probability that the number rolled is even and greater then 4.
• Hand Back and go over quiz, corrections:

1. Corrections must be made on a separate sheet of paper NOT on the original quiz.
2. Any missed problem needs to be done correct.
3. Statement of misunderstanding and what logic needs to be corrected.
4. Stapled to your original exam, turned in next class.

• Problem Set: Create your own three set Venn diagram problem for another student to solve in class. Front side as it would be presented on a test and back side with worked out solutions. Must have:
• Elements in intersections.
• One unknown section.

20-9: Conditional Probability 8.6

Lesson Goal: I will be able to calculate conditional probability and understand the notation involved.

• Warm Up:
  

• Note on Conditional Probability/questions. Solve: Find the probability of a student studies French given that they study Malay.

• Problem Set: pg. 358-359 #1-8(pick any 4)

• Homework: Watch Video and take notes on Independent Events

YouTube Video

22-9: Mutually Exclusive and Independent Events 8.7

Lesson Goal:  I will be able to identify when two events are independent or mutually exclusive.

• Warm Up:

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• Work example 14 out of the book as a class.

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• Problem set: pg. 361 8L #1-8, pg. 363 8M #2-5

• Homework: Watch Video and take notes on tree diagrams, sampling with and without replacement, and compound events.

• YouTube Video

  
  

• YouTube Video

  
  

• YouTube Video

  
  

26-9:Sample Space diagram and tree diagram 8.8 & 8.9

Lesson Goal: I will be able to create a sample space for an experiment. with a chart or tree diagram.

• Warm Up:
  

• Questions on Notes, work a two examples.

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• Problem Set: pg. 366 8N #4,5 pg. 368 8O #1,3,4

28-9: Without replacement problems & begin review 

Lesson Goal: I will be able to solve probability problems when an item is not returned to a set.

• Warm Up: Exam style question:

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• Question on problem set 8N or 8O

• Problem Set 8P pg. 370-371 #1-5

• Begin Work Chapter 8 Review; Exam questions from 2010-2015

• Identify a few problems you would be comfortable to present solution to class, you will be assigned your problems in class (Tuesday 4-10).

•  Problems will be presented in class Thursday 6-10.

• Chapter 8 summative Exam will be Monday 10-10.

4-10: Review period for Summative Exam

Lesson Goal: I will be able to work on preparing for my summative exam.

• Warm-Up: A student is selected at random from the class of 38. Find the probability that the customer
• i) is in none of the three classes;
• ii) is in only two of the classes;
• iii) is in all three classes given the student is in HL Spanish.

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• Create three probability questions of interest from your Venn Diagram experiment one must be a conditional statement. Upload questions to Google Classroom and provide solutions to your questions.
• You will sign-up for two problems to present to class next class period as an assessment. Solutions must be completed on blue paper, I would suggested doing your process first on scrap paper and a final solution presented with work on the blue sheet that will be turned in after you present to the class.

• Sign-Up for Chapter 8 Review; Exam questions from 2010-2015

  
  

6-10: Present Solutions to assigned problems

Lesson Goal: I will be able to use mathematical language to communicate through lines of reasoning that are complete adequately organize information using a logical structure. 

• Warm Up: Award Ceremony, because of this we will push the exam to next Wednesday so that we can get all students to present review problems.
• Make sure you finish your probability questions of interest on Google classroom, it is due by next Monday's class.
• Homework: continue working on Chapter 8 review problems.