
Vertex Form Lesson
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
31 Slides • 14 Questions
1
Lesson 3.6: Connecting
Standard Form to Vertex Form
Obj: 6B, (10A, 10B, 10C), 10D, 10E, 10F: I can convert quadratics to different forms.
EQ: How do I convert from vertex to standard form
and vice-versa?
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
Which one is the easiest role?
Includer
Resourcer
Scribe
Facilitator
8
● Check off tasks & skills on calendar.
● Select skills to work on.
● Work on Deltamath.
Remember to work on the following too…
9
Practice Performance Task 3a:
The Catapult
10
11
12
13
Grading Conversion
14
Part 0: Linear and Quadratic
Function Operations
15
16
Multiple Choice
Simplify the expression.
x(x+5)-(x+5)
x² + 4x - 5
x² + 5x - 5
x² - 5x + 5
x² + 5x + 5
17
Multiple Choice
Simplify the expression.
7x(x-9)-2(x-9)
7x² + 36x + 18
7x² + 65x + 18
7x² - 36x + 18
7x² - 65x + 18
18
Multiple Choice
Simplify the expression.
x(2x - 3) - 4(2x - 3)
2x² - 14x + 12
2x² + 14x + 12
2x² - 11x + 12
2x² + 11x + 12
19
Multiple Choice
Simplify the expression.
-5x(x + 8) + 6(x + 8)
-5x² - 34x + 4
-5x² - 14x + 88
-5x² - 8x + 4
-5x² + 8x + 4
20
21
Multiple Choice
Find the product.
(x - 9)²
x² + 18x - 81
22
Multiple Choice
Find the product.
(2x + 1)(x - 6)
2x² + 5x - 6
2x² - 11x - 6
2x² - 5x + 6
x² - 12x + 6
23
Multiple Choice
Find the product.
(3x + 1)²
24
Labeling
Use the box method to find the product.
(x - 1)(x² + 2x + 8)
x²
x
+2x²
+2x
+8x
-1x²
-2x
-1
+8
25
26
Multiple Choice
Find the quotient.
2x−12x2+15x−8
x - 4
27
Multiple Choice
Find the quotient.
2x+32x2+15x+18
28
Multiple Choice
Find the quotient.
5x−15x2−16x+3
29
Multiple Choice
Find the quotient.
3x+56x2−11x−35
30
Part 1: Warming Up with
Vertex Form
31
Standard to Vertex
Graph f(x) = 2x² - 4x + 5
Identify a and the vertex (h, k).
Write the equation in vertex form.
f(x) = a(x - h)² + k
32
Drag and Drop
Factored Form: f(x) =
33
Part 2: Developing
Formulas for the Vertex
34
How could you determine if these are the same function?
35
You can determine if they are the same by graphing or
converting the vertex form to standard form.
This Example
Generalized Example
36
37
38
39
Plugging in a, b, and c values from g(x) to find vertex.
40
41
Part 3: Summary and
Practice
42
Practice Using Formulas to Find the Vertex
43
44
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.
45
Lesson 3.6: Connecting
Standard Form to Vertex Form
Obj: 6B, (10A, 10B, 10C), 10D, 10E, 10F: I can convert quadratics to different forms.
EQ: How do I convert from vertex to standard form
and vice-versa?
Show answer
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