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Quadratic Formula Exploration 1

This document provides a lesson plan for teaching students about quadratic equations over approximately 40 minutes. The lesson begins with students answering questions to activate their prior knowledge about identifying characteristics of quadratic functions from graphs and solving quadratic equations by graphing and factoring. The teacher will then derive and explain the quadratic formula, showing a proof video. Students will practice using the quadratic formula in think-pair-share activities and homework problems. The goal is for students to understand the properties of quadratic equations and be able to solve problems involving quadratic equations through various methods, including using the quadratic formula.

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104 views3 pages

Quadratic Formula Exploration 1

This document provides a lesson plan for teaching students about quadratic equations over approximately 40 minutes. The lesson begins with students answering questions to activate their prior knowledge about identifying characteristics of quadratic functions from graphs and solving quadratic equations by graphing and factoring. The teacher will then derive and explain the quadratic formula, showing a proof video. Students will practice using the quadratic formula in think-pair-share activities and homework problems. The goal is for students to understand the properties of quadratic equations and be able to solve problems involving quadratic equations through various methods, including using the quadratic formula.

Uploaded by

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Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Quadratic Formula Exploration

Teacher
Daphne Yoner Date March 6, 2020
Name
Subject Area Mathematics Grade 20-2
Topic Quadratic Equations Time ~40 minutes

- What are the properties of a quadratic equation?


Inquiry Question: - What do these properties of quadratic equations mean?

GLO(s):
- Develop algebraic and graphical reasoning through the study of
relations.
SLO(s)
GLO(s) + SLO(s)
- Demonstrate an understanding of the characteristics of quadratic
functions, including: vertex, intercepts, domain and range, axis
symmetry.
- Solve problems that involve quadratic equations.
Students will:
Learning Objectives - Solving quadratic equations by graphing, by factoring, and by
What do you want your using the quadratic formula.
students to learn? - Solving problems that involve quadratic equations.

Assessment
How will you know your - Observation, group discussion, and class discussion (formative)
students have learned?

Materials - video, paper showing proof of solving for x to get the quadratic formula,
What resources will you need? examples. List of textbook questions pg. 419 #1, 4-7
Lesson Description Time
- To start the class, when the students walk in they will get to
work on the 3 questions on the board. There will be one
question where they have to identify the x-intercepts,
y-intercepts, vertex, axis of symmetry and domain and range.
Introduction The second question will be a graphing question, they will ~10 minutes
have to find the roots of the graph I provide. And the last will
be a factoring problem they must solve.
- I will then get the students to come up and write the answer
on the board for a question
- The teacher will provide the proof for the quadratic formula
to solve for x. The students will discuss in their pairs (or as a
class) why you would want to solve for the x. They will
explore that this is yet another way to find a root.
- Once the class has discussed why you would solve for x and
how to make the quadratic formula, I would like to show
them a video of a proof of it.
- https://www.youtube.com/watch?v=DdUx_7B00kM
- We will look at the quadratic equation more closely
~ 30
Body afterwards and I will get the students to infer how they will
minutes
come up with the values for a, b, and c within the quadratic
formula. Once they understand the reasoning for the formula
and how to get the values then as a class we will do one
question together.
- Then in their pairs they will complete questions that find the
roots of equations using the quadratic formula. Use
think-pair-share.
- Then if the students finish early they can start their
homework questions. Pg. 419 #1, 4-7

- We will have a brief discussion about which way to solve the


Closure ~1 minute
equation is the most appealing so far to the students.

Reflection
Questions for the beginning of class:
`
1. Determine the ​vertex, intercepts, domain and range, axis symmetry of this graph.

2. Solve the equation by graphing: ​x2​​ + 6x+8=0


3. Solve the equation by factoring: ​x​ + 2x -3 =0
2​

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