
Alg1 Lesson 3.4: The Factored Form of a Quadratic
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
+4
Standards-aligned
Monica Ramirez
Used 1+ times
FREE Resource
26 Slides • 13 Questions
1
Lesson 3.4: The Factored
Form of a Quadratic
Obj: 6B, 7A, 7B, 10D, 10E, 10F: I can write quadratic
functions in factored form.
EQ: How do I factor a quadratic expression?
2
Roles:
Facilitator
Scribe
Resourcer
Includer
Lesson Goals:
● Creative Thinking
● Talk through controversies and conflict
● Recognize and reduce ambiguity
● Encourage thinking based on formulas and prior info
● Help explain ideas to each other
● Own your ideas and work
● Record ideas in your journal
● Answer Questions on Slides
● Follow your team roles
3
Facilitator
• Make sure that all peers are staying on task.
• Give advice or suggestions to resolve the problem.
• Be sure everyone is able to explain.
4
Scribe
• Make sure peers organize their results on their own papers.
• Remind peers to use color, arrows, and other math tools to
communicate your mathematics, reasons, and connections.
• Be ready to join the teacher for a huddle.
5
Resourcer
• Make sure peers are getting the materials needed.
• Make sure that all materials are put away neatly.
• Make sure that peers are logged in to the needed site.
• Help troubleshoot any technology difficulties that may arise.
6
Includer
• Make sure that all peers are talking about their work.
• Helps keep peers’ voice volume low.
• Encourages everyone to ask questions.
• Communicates conflicts or questions to the teacher.
7
Poll
What's your role today?
Resourcer
Facilitator
Scribe
Includer
8
● Check off tasks & skills on calendar.
● Select skills to work on.
● Work on Deltamath.
Remember to work on the following too…
9
Part 1: Warming Up with
x- and y-intercepts
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11
12
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Multiple Choice
Can a linear function have exactly two x-intercepts?
Yes
No
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Multiple Choice
Can a linear function have exactly two y-intercepts?
Yes
No
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Part 2: Exploring Factored
Form
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f(x)= (x − 2)(x +1)
Is this function linear or quadratic? How do you know?
How many x-intercepts does this function have?
What is the shape of this graph?
How many y-intercepts does this function have?
17
Drag and Drop
The function
There will be
The shape of this function is a
There will be
18
What do you notice
about the zeros in the
table and graph?
19
Multiple Choice
What do you notice about the two values of x that resulted in a zero?
20
Multiple Choice
What do you now know about the graph of this function?
21
Multiple Choice
What is the standard form of this quadratic function?
f(x)= x² - 2x + 1
f(x)= x² - 2x - 1
f(x)= x² - x + 2
f(x)= x² - x - 2
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Part 3: Extend and Practice
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Solve with Zero Product Property
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Multiple Choice
How can we determine algebraically what value of x will make each factor zero?
Set each factor equal to zero.
Use the quadratic formula and multiply by two.
Factor the equation and set it equal to the constant coefficient.
26
Multiple Choice
If f(x) = (2x - 1)(x+3), what are the zeros?
27
Multiple Choice
What is the y-intercept of f(x) = (2x - 1)(x+3)?
(0, 1/2)
(0, -1/2)
(0, 3)
28
Graphing
Graph f(x) = 0.5(x - 1)(x+3)
29
Multiple Choice
What is the standard form of f(x) = (2x - 1)(x+3)?
f(x) = 2x² - 4x - 3
f(x) = 2x² + 4x - 3
f(x) = 2x² - 5x - 3
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32
Solve Quadratic Equations by Factoring
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34
Multiple Choice
Answer the question.
A.
B.
C.
D.
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38
Random Question of the Day Time
https://wheelofnames.com/4ke-epz We’ll spin the
wheel as a class and spend a minute or so
discussing our answers.
39
Lesson 3.4: The Factored
Form of a Quadratic
Obj: 6B, 7A, 7B, 10D, 10E, 10F: I can write quadratic
functions in factored form.
EQ: How do I factor a quadratic expression?
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