Stephen asked 100 coffee drinkers whether they like cream or sugar in their coffee. According to the Venn diagram below, how many like

a) Cream?b) Sugar?c) Sugar but not cream?d) Cream but not sugar?e) Cream and sugar?f) Cream or sugar?

Cream Sugar

1635

20

Mr. Jackson polled the class to see how many students had been to one or both of the nearby state parks. He found that everyone in Katie's group had been to at least one of the parks. When he asked how many had been to Punta de las Cuevas, four children raised their hands. When he asked how many had been to Salt Bay, three raised their hands. When he asked how many had been to both state parks, two raised their hands.

How many people were in Katie's group?

Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. If five students are in both classes:- how many students are in neither class?

- how many are in English Composition only? - how many are in Chemistry only?

A poll of 2,000 students revealed: 554 respondents only watch TV. They do not browse the Web while they watch. 1,200 respondents only use the Internet. The TV is not on while they're browsing.

How many people

watch TV and

browse the Web at the same time?

A survey of 1,200 college students reveals that 3/4 have a profile on MySpace, 3/4 have a profile on Facebook, and 1/2 have a profile on both sites.

Using a Venn diagram, answer the following questions:How many students have a profile on MySpace?

(Whole number, not a percentage).How many students have a profile on Facebook?

(Whole number, not a percentage).How many students have a profile on both sites?

(Whole number, not a percentage).

Suppose I discovered that my cat had a taste for the adorable little geckoes that live in the bushes and vines in my yard, back when I lived in Arizona. In one month, suppose he deposited the following on my carpet:

6 gray geckoes, 12 geckoes that had dropped their tails in an effort to

escape capture, and15 geckoes that he'd chewed on a little. Only 1 of the geckoes was gray, chewed on, and

tailless; 2 were gray and tailless but not chewed on; 2 were gray and chewed on but not tailless. If there were a total of 24 geckoes left on my carpet

that month, and all of the geckoes were at least one of "gray", "tailless", and "chewed on", how many were tailless and chewed on but not gray?

Challenge! Bonus!

Bell WorkPopcorn Pizza

Pretzels

45

7

4

22

3

In this Venn Diagram, 30 students were interviewed about their food interests.

1. How many students like popcorn?

2. How many students like popcorn and pizza?

3. How many students don’t like any of the 3 items?

4. How many students don’t like popcorn?

The Real Number SystemNatural Numbers: The counting numbers

1, 2, 3, 4, 5, …Whole Numbers: The counting numbers + zero

0, 1, 2, 3, 4, …Integers: The whole numbers and their opposites

… -3, -2, -1, 0, 1, 2, 3 …Rational Numbers: Any number that can be

written as a fraction of integers.Examples: 15, -34/197, 52.4, etc.

Irrational Numbers: Any number that cannot be written as a fraction of integers.Examples: π, √ 2, e, etc.

Real Numbers: All rational and irrational numbers

Real Numbers

Irrational Numbers

Integers & Natural NumbersWhat would your Venn Diagram look like?

OR

Multiples of 3 and Multiples of 153: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, …

15: 15, 30, 45, 60, 75, 90, …

What do you notice about the multiples of 15?

Let’s Create a Venn Diagram…We want to create a Venn Diagram to

compare and contrast the multiples of 3 & 15.Are there any multiples of 15 that are not a

multiple of 3 too?What would your Venn Diagram look like?

What are the prime factors of 16 & 15?Prime Factors of 16

Prime Factors of 15

How would you create a Venn Diagram for this info?

The prime factors of 15 & 16 are disjoint!