FRANCES PERKINS ACADEMY
Teacher:
Mr. Kandov
Subject:
Algebra II
Grade
9-12
Date:
Unit 1 – Functions, Equations, and Graphs
Lesson # 1
Relations and Functions
Learning Objective:
I can identify whether or not a relation is a function by graphing it.
Provocative Question: Can we identify a function and graph it?
Please Do Now:
In your own words, explain what you think the word “function” means.
3-5 minutes
Unit:
Common
Core
Standards
F-IF.1 – Understand that a function from one set (called the domain) to another set (called the range) assigns to
each element of the domain exactly one element of the range. If f is a function and x is an element of its domain,
then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
Vocabulary Relation, domain, range, function, vertical line test, function rule, function notation,
independent variable, dependent variable.
Four Methods to Represent a Relation (set of ordered pairs with inputs and outputs)
Mini Lesson
A function is a relation where each element in the domain corresponds with exactly one
element in the range.
Example
Non-Example
Guided: Students complete:
Remember the Vertical Line Test? Ask students what they used it for before.
Let f(x)=2x+1, who’s dependent on who? How do you know?
FRANCES PERKINS ACADEMY
Real-world connection: The amount of $ I earn depends on the amount of hours I work.
Word problem to MODEL:
Students Practice:
Procedure:
DOK (Qstns for assessment & understanding)
1. Do Now (5-8 min): Opening Exercise
writing assignment.
1.
2. Mini-lesson: Introduce relation and 4
methods of representation.
Identify function, it’s domain and range.
2. How can you determine what is the dependent
variable?
3. Model: 3 problems and 1 word problem that
involves creating a function and evaluating.
4. Students practice 2 questions as a class.
5. Activity – Students complete 15 question
worksheet comprising of what we learned.
6. Closing
Activity (s)
10-15 min
Assessment
Closing
Differentiate
Grouping
Homework
In Do Now, what is an example of a function?
How about in real life?
3. Suppose you are given a relation only in
mapping/table form and you need to graph the
relation. How would you do it?
4. In the guided part 3a, would would you change
to make the relation a function? What change
would make 3b only a relation, and not a
function?
5. How many vertical lines does it take to make a
graph fail the vertical line test?
Worksheet.
Walk-around during activity. Carefully listen for feedback responses from students during minilesson and Do Now discussion.
1. What are three methods you can use to determine whether a relation is a function?
a. Mapping
b. Listing ordered pairs
c. Vertical line test
2. Can you have a relation that is not a function? Can you have a function that is not a
relation?
Pair-Share groups of two.
FRANCES PERKINS ACADEMY
Materials/Resources
Notes/reflection___mins What have you learned today? Read aloud responses to closing statements.
Reminders:
(Test/Quizzes dates)
Differentiation and Tiered Instructional Strategies
☐Materials at varied readability levels
☐Supplementary materials based on
student interest
☐Varied teaching modes
☐Anchor activities (Sponge activities)
☐Compacting
☐Tiered activities
☐Portfolios
☐DOK Questioning
Reflection
☐Flexible use of time
☐Video/audio notes (visual/verbal learners)
☐Graphic organizer
☐Jigsaw
☐Problem Based Learning
☐Stations
☐Learning contracts
☐Cooperative learning
☐Use of contemporary technology
☐Flexible grouping
☐Learning contracts
☐Literature Circles
☐Socratic Seminar
☐Think, Pair, share
☐ Workshop Model
☐Models of tasks at different levels
☐Cubing