MDFP Introduction to Mathematics SETS and Venn Diagrams 2.

Slides:

Advertisements

Similar presentations

Aim: How do we use Venn Diagrams to visualize survey results.

Advertisements

Math in Our Environment Created by:. List your location here Discuss the location and what math concepts are going to be in the problem.

Solving Polynomial Inequalities Basic Principle: When will the product “ab” be positive? Answer: When a and b are both positive OR when a and b are both.

Survey of Mathematical Ideas Math 100 Chapter 2 John Rosson Thursday February 1, 2007.

PRIME TIME JEOPARDY Prime Factorization GCF/LCM Order of Operations

Shade the Venn diagram to represent the set A' U (A ∩ B)

Basic Probability Sets, Subsets Sample Space Event, E Probability of an Event, P(E) How Probabilities are assigned Properties of Probabilities.

Shade the Venn diagram to represent the set A' U (A ∩ B)

Venn Diagrams to find the HCF and LCM

Revision of Absolute Equations Mathematics Course ONLY (Does not include Ext 1 & 2) By I Porter.

Unit 4 Using Venn Diagrams as a Study Aid. What is a Venn Diagram? Visual organizer 2 or more overlapping circles Shows similarities and differences –

Properties and Relationships of Set Theory. Properties and Relationships of Set Theory How are Venn Diagrams used to show relationships among sets? How.

Survey of Mathematical Ideas Math 100 Chapter 2 John Rosson Thursday January 25, 2007.

Chapter 2 The Basic Concepts of Set Theory © 2008 Pearson Addison-Wesley. All rights reserved.

An Introduction to Venn Diagrams Slideshow 55, MathematicsSlideshow 55, Mathematics Mr Richard Sasaki, Room 307Mr Richard Sasaki, Room 307.

Warm up The probability of event A is given by P(A) = n(A) = 8 = 2 n(S) What could event A be? What is the Sample Space, S?

Using Venn Diagrams Principles of Math 11 Unit: Reasoning.

3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =

Topic 3: Intersection and Union

Sets Math 123 September 15.

MATH 104 Chapter 2 Sets. Notation and overview 2.1 Basics Ǿ Empty set ∈ Is an element Is not an element of 2.2 Subsets  Is a subset of Is not a subset.

SECTION 2-3 Set Operations and Cartesian Products Slide

Section 2.3 Using Venn Diagrams to Study Set Operations Math in Our World.

Unit 1 Mathematical Terminology & Notation. Work with Sets Standard 25.0.

Materials Reminders. Get out your agenda if you see your name below. I would like to have you in my FLEX tomorrow. Period 2Period 7.

Learning Objectives for Section 7.3 Basic Counting Principles

Warning: All the Venn Diagram construction and pictures will be done during class and are not included in this presentation. If you missed class you.

EXAMPLE 3 Draw common tangents Tell how many common tangents the circles have and draw them. a.b. c. SOLUTION a. 4 common tangents 3 common tangents b.

Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets.

© 2010 Pearson Prentice Hall. All rights reserved Survey Problems.

Warm Up Finish your test If you already finished, begin looking at 9.1 – Review of Radicals You can start your homework after you have read the section.

MATH 2311 Section 2.2. Sets and Venn Diagrams A set is a collection of objects. Two sets are equal if they contain the same elements. Set A is a subset.

Solving Absolute Value Equations Lesson 4-3. Vocabulary Review Absolute Value: The distance between 0 and a number Equation: A math sentence/statement.

Venn Diagrams and Sets. Venn Diagrams One way to represent or visualize sets is to use Venn diagrams:

Section 2.4 Using Sets to Solve Problems Math in Our World.

LESSON 4-3A PRIME FACTORIZATION. MATH VOCABULARY Prime #: A number that can only be found by multiplying the given number x 1 (only one way to get answer.

The Basic Concepts of Set Theory. Chapter 1 Set Operations and Cartesian Products.

Unions and Intersections of Sets Chapter 3 Section 8.

G: SAMPLING WITH AND WITHOUT REPLACEMENT H: SETS AND VENN DIAGRAMS CH 22GH.

MDFP Introduction to Mathematics SETS and Venn Diagrams.

A Π B = all elements in both sets A and B

A school sixth form contains 150 students. 74 study mathematics, 56 study physics and 39 study economics. 14 students study all three of these subjects,

Section Setting Up Word Problems. Lesson Objective: Students will: Learn to set up the type of complicated word problems that are often found in.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Section 2.5, Slide 1 CHAPTER 2 Set Theory.

Sets and Operations TSWBAT apply Venn diagrams in problem solving; use roster and set-builder notation; find the complement of a set; apply the set operations.

MAKE SURE TO WATCH THE MOVIE FIRST Let’s Multiply!

Unions and Intersections of Sets

3.5 Venn diagrams Mathematical Studies for the IB Diploma Second Edition © Hodder & Stoughton 2012.

The Basic Concepts of Set Theory

Chapter 2 The Basic Concepts of Set Theory

The Basic Concepts of Set Theory

نجاح وفشل المنشآت الصغيرة

15.1 Venn Diagrams.

A Question of Maths Instructions: Choose a number to answer a question

Find the surface area of:

January , Math 102 OBJECTIVE: Students will be able to solve one step inequalities and graph the solution on a number line AIM: How is.

Venn Diagrams to find the HCF and LCM

امتحانات میں شامل سوالات کے برے ،اچھے اور بہترین نمونے

Introduction to Flowcharts

Sets A set is simply any collection of objects

MATH 1310 Section 2.8.

MATH 1310 Section 2.8.

MATH 1310 Section 2.8.

Learning Goals 1-3 Pre-Test

3.2 Venn diagrams Mathematical Studies for the IB Diploma © Hodder Education 2010.

CHAPTER 2 Set Theory.

MATH 1310 Section 2.8.

9G Expectation, 9H Probabilities from Venn Diagrams, 9I Laws of Probability Unit 1: Probability 9G, 9H, 9I 8/19/2019 3:39 PM.

Presentation transcript:

MDFP Introduction to Mathematics SETS and Venn Diagrams 2

Example students commenced a particular university course. Of these 38 had studied Media in Year 12 and 49 had studied Drama in Year 12. If 30 had studied both of these subjects in Year 12 how many had studied neither?

M D – 30 = 8 49 – 30 = Draw Venn diagram 120 students commenced a particular university course 38 had studied Media (38) 49 had studied Drama (49) 30 had studied both of these subjects

Three sets A, B and C and the universal set, U are such that Find Example 2

SOLUTION 150 AB C

150 AB C Find Tick every thing in A Tick everything in B. (if not already ticked) Tick everything in C.(if not already ticked) ALL ticked elements represent n(A B C), so = 77

Example 3 A survey of 100 students revealed that 82 were in Math and 65 were in Critical Thinking. How many students are taking both Math and Critical Thinking? All 100 students are either in Math or Critical Thinking. U

Solution = – 100 = – 47 = – 47 = 18 U 47 MathCT 3518

Example 4 At a Cinema, people were surveyed about the movies they watched. 15 people answered Twilight, Shrek and The Avengers. 19 people mentioned Shrek and Twilight. 42 people mentioned Twilight. 21 people mentioned The Avengers and Twilight. 3 people mentioned The Avengers and Shrek but not Twilight. 10 people didn’t mentioned any of the Twilight, Shrek or The Avengers movies. 16 people mentioned The Avengers but not Shrek. 7 people answered only Shrek.

Draw a Venn diagram. Use your Venn Diagram to answer the following questions. a) How many people watched The Avengers ? b) How many people watched Shrek? c) How many people watched The Avengers and Shrek? d) How many people watched Twilight but not Shrek or The Avengers? e) How many people were questioned?

Solution 1. How many circles do we need? 3: Twilight, Shrek, The Avengers 2. Use the information given to set up the Venn Diagram.

Twilight Shrek The Avengers Venn Diagram: 10 people didn’t mentioned any of the Twilight, Shrek or The Avengers movies. 7 people answered only Shrek. 15 people answered Twilight, Shrek and The Avengers.

TwilightShrek The Avengers Venn Diagram: continued people mentioned Shrek and Twilight. 42 people mentioned Twilight. 21 people mentioned The Avengers and Twilight. 16 people mentioned The Avengers but not Shrek. 3 people mentioned The Avengers and Shrek but not Twilight.

TwilightShrek The Avengers Now solve the problem: a) How many people watched The Avengers? b) How many people watched Shrek? c) How many people watched The Avengers and Shrek? d) How many people watched Twilight but not Shrek or The Avengers? e) How many people were questioned? = = = Total = 72 72

Complete All Question Sets & Venn Diagrams 2 Any work not completed during class must be completed for homework!