Functional Relationships

1
Unit 4

• Functional Relationships

2
Unit Essential Question

• How can I identify the different types of
  relationships?

3
Standard(s)

• M8A3 Students will understand relations and
  linear functions.
• M8D1 Students will apply basic concepts of set
  theory.

4
Concept 1

• Venn Diagrams

5
Lesson Essential Questions

• How would you complete a Venn Diagram using three
  circles?

6
Vocabulary 1

• Venn Diagram

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Concept 2

• Set Theory

8
Lesson Essential Questions

• How are set notations used to show elements,
  subsets, complements, intersections and unions of
  sets?

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Vocabulary 2

• Set
• Element
• Universal set
• Empty set
• Subset
• Complement
• Union
• Intersection

10
Concept 3

• Relations and Functions

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Lesson Essential Questions

• How do I identify a function?
• How can I tell the difference between a relation
  and a function?

12
Vocabulary 3

• Relation
• Function
• Function table
• Independent variable
• Dependent variable
• Domain
• Range

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Concept 4

• Identifying Functions

14
Lesson Essential Questions

• How can I tell the difference between a relation
  and a function?

15
Vocabulary 4

• Vertical Line Test

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Concept 5

• Linear Functions

17
Lesson Essential Questions

• How can I relate arithmetic sequences to linear
  functions?

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Vocabulary 5

• Recursive rule
• Closed formula