Printable Slides

Each slide is formatted as a separate page below.

Reasoning and Logic

Day 4: Venn Diagrams & Applications

Slide 2

Today's Objectives

Slide 3

Warm-Up: Sorting Groups

Think about the students in this class.

  1. List two groups you could sort students into.
  2. Can a student be in BOTH groups?
  3. Can a student be in NEITHER group?
Slide 4

What is a Venn Diagram?

A diagram that uses circles to show relationships between sets of items.

Set A Set B U
Slide 5

Key Vocabulary

Slide 6

Example: How to Fill It In

25 students: 15 like Soccer (S), 12 like Basketball (B), 7 like both.

8 5 7 5 S B
  1. Start with BOTH (Intersection): 7
  2. Soccer ONLY: 15 - 7 = 8
  3. Basketball ONLY: 12 - 7 = 5
  4. NEITHER: 25 - (8+7+5) = 5
Slide 7

Guided Practice

50 people: 30 own a dog (D), 22 own a cat (C), 10 own both.

  1. Where do we start?
  2. How many own ONLY a dog?
  3. How many own ONLY a cat?
  4. How many own neither?
  5. How many own a dog OR a cat?
Slide 8

Independent Practice

Choose your level and solve the problems.

RED (Developing)

Use a given Venn diagram showing 10 students in Band only, 5 in both Band and Chorus, and 12 in Chorus only.

  1. How many students are in Band?
  2. How many students are in Chorus?
  3. How many students are in Band AND Chorus?

YELLOW (Applying)

In a class of 30, 18 students like vanilla ice cream, 14 like chocolate, and 6 like both.

  1. Draw a Venn diagram to represent this data.
  2. How many students like ONLY vanilla?
  3. How many students like neither?

GREEN (Challenging)

Out of 50 people, 20 use Netflix, 18 use Hulu, and 22 use Disney+. 7 use Netflix & Hulu, 9 use Netfix & Disney+, and 6 use Hulu & Disney+. 3 people use all of them.

  1. Draw the diagram.
  2. How many people used Netflix and Hulu?
  3. How many people used none of these services?
Slide 9

Exit Ticket

On your notecard:

At a pet store, 20 customers were surveyed. 13 said they own a dog. 9 said they own a cat. 5 said they own both.

1. Draw a Venn diagram to represent this.

2. How many customers own neither a dog nor a cat?