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Crash Course 4: Algebra I Quadratic Equations and Functions (Common Core)

Quadratic Equations and Functions is a four-session program designed to help students grasp the fundamentals of quadratic equations, including graphing, factoring, and solving using the quadratic formula.
Class

What's included

4 live meetings
3 hrs 40 mins in-class hours
Assignments
1 hour per week. 3-6 throughout the class
Assessment
1 after class completion

Class Experience

US Grade 7 - 9
In this four-session program, students will explore the fundamentals of quadratic functions, learning to graph, factor, and solve quadratic equations using different methods, including the quadratic formula. Each 60-minute session is packed with interactive instruction, guided practice, and real-world applications to help students gain confidence and mastery in working with quadratics.

Students will learn to:
Understand and graph quadratic functions.
Factor quadratic expressions and solve quadratic equations by factoring.
Solve quadratic equations using the quadratic formula.
Apply quadratics to solve real-world problems and scenarios.
What topics will you cover?

Each class begins with a quick warm-up to review prior knowledge and introduce the new topic. This is followed by clear, step-by-step direct instruction with visual examples. The main part of the session includes guided practice, where students solve problems with my support, followed by an interactive problem-solving activity. Each class wraps up with a review and time for student questions to ensure comprehension.

I use a combination of visual aids, interactive whiteboard demonstrations, and collaborative learning strategies to teach key concepts. The lessons include a mix of direct instruction and hands-on practice, with real-life examples to make the material relevant and engaging. Students will participate in solving problems and discussing strategies during each session.

My teaching style is supportive, patient, and geared toward helping students build confidence in their abilities. I focus on breaking down complex topics into simple, manageable steps and encourage active participation to keep students engaged. I use positive reinforcement and constructive feedback to help learners progress and understand each concept deeply.

Students will interact with me throughout each session. I encourage questions, facilitate group discussions, and guide students through problem-solving activities. This ensures that each learner is actively involved and supported, receiving immediate feedback and personalized attention as needed.

By the end of Crash Course 4, students will be confident in their ability to graph, factor, and solve quadratic equations using multiple methods. They will have gained essential skills and problem-solving techniques that will prepare them for more advanced math courses and help them excel in their current studies.
Learning Goals
Identify the characteristics of quadratic functions and graph basic parabolas.
Factor quadratic expressions and solve for their roots.
learning goal

Syllabus

Standards
Aligned with Common Core State Standards (CCSS)
4 Lessons
over 4 Weeks
Lesson 1:
Class 1: Introduction to Quadratic Functions
 Focus: Understanding quadratic functions and their graphs.
Objectives: Identify the characteristics of quadratic functions and graph basic parabolas.
Standards Covered: CCSS F-IF.4, F-IF.7 
55 mins online live lesson
Lesson 2:
Class 2: Solving Quadratic Equations by Factoring
 Focus: Solving quadratic equations using factoring methods.
Objectives: Factor quadratic expressions and solve for their roots.
Standards Covered: CCSS A-SSE.2, A-REI.4 
55 mins online live lesson
Lesson 3:
Class 3: The Quadratic Formula
 Focus: Deriving and using the quadratic formula to solve quadratic equations.
Objectives: Apply the quadratic formula to find solutions for any quadratic equation.
Standards Covered: CCSS A-REI.4 
55 mins online live lesson
Lesson 4:
Class 4: Applications of Quadratic Equations
 Focus: Using quadratic equations to solve real-world problems.
Objectives: Set up and solve word problems involving quadratic equations and interpret solutions.
Standards Covered: CCSS A-CED.1 
55 mins online live lesson

Other Details

External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Joined November, 2024
Profile
Teacher expertise and credentials
Virginia Teaching Certificate in Mathematics
I am a certified middle school math teacher with over five years of experience teaching math to students aged 11-14. I currently teach at Henrico Virtual Academy within Henrico County Public Schools, where I have spent the last four years developing and delivering comprehensive math instruction in both in-person and virtual formats. My expertise includes teaching Algebra I, pre-algebra, and geometry, with a strong focus on making these foundational math concepts accessible and engaging.

I have designed and implemented standards-aligned curricula that meet the Common Core requirements, ensuring students build a solid mathematical foundation. Additionally, I regularly create and use assessments to evaluate student progress and adapt instruction to meet individual learning needs. My background in remote teaching has honed my ability to effectively engage students through interactive lectures, discussions, and digital tools, fostering an environment where students can confidently develop their problem-solving and critical-thinking skills.

I am committed to continuous professional development and regularly participate in math education workshops and training sessions to stay updated with best practices and innovative teaching strategies. My goal is to help students see math as both a practical tool and an exciting subject that they can master with the right guidance and support.

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Live Private Course
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$80

weekly or $320 for 4 classes
1x per week, 4 weeks
55 min

Live video meetings
Ages: 11-16

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