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Crash Course 3: Algebra I Solving Systems of Equations (Common Core)

Ages 11-16
Live Private Course
A targeted four-session program designed to help students master the essential techniques for solving systems of linear equations, including graphing, substitution, and elimination.

Live video meetings
1x per week, 4 weeks
55 min

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
Solving Systems of Equations is an intensive four-session program designed to give students a comprehensive understanding of how to solve systems of linear equations using multiple methods. This course focuses on building skills in graphing, substitution, and elimination, while emphasizing real-world applications that show how these techniques are used beyond the classroom. Each 60-minute session is structured to reinforce learning through interactive lessons and hands-on problem-solving activities.

Students will learn to:
Solve systems of linear equations using graphing.
Apply the substitution method to solve systems algebraically.
Use the elimination method to solve systems efficiently.
Tackle real-world word problems that involve systems of equations.

Each class begins with a brief warm-up to review and reinforce prior knowledge. This is followed by direct instruction with visual demonstrations and examples. The main portion of the session includes guided practice, where students solve problems alongside me, and interactive discussions. Classes conclude with a review of key concepts and time for questions to ensure thorough understanding.

My teaching method combines clear, step-by-step instruction with interactive learning techniques. Visual aids, whiteboard illustrations, and collaborative problem-solving activities are used to help students see and understand each step of solving systems. Real-world applications and examples are integrated to make the material relatable and engaging.

I aim to create a supportive, engaging learning environment where students feel comfortable exploring new concepts and asking questions. My teaching style is adaptive, focusing on breaking down complex ideas into simple, understandable steps. I use positive reinforcement and provide constructive feedback to help students build confidence and mastery of the material.

Students will have ample opportunities for interaction throughout each session. I encourage questions during lessons, foster group discussions during guided practice, and create collaborative exercises where students can share their problem-solving strategies. The class is designed to keep students actively engaged and ensure personalized attention where needed.

By the end of Crash Course 3, students will be proficient in solving systems of linear equations using multiple methods and will have developed problem-solving strategies that apply to real-life situations. This course builds a strong foundation for further math courses and helps students feel confident in their algebraic skills.

Learning Goals

Learn how to graph two linear equations and determine the solution from the graph.
Substitute one equation into another to find solutions.

Syllabus

Standards
Aligned with Common Core State Standards (CCSS)
4 Lessons
over 4 Weeks
Lesson 1:
Class 1: Solving Systems by Graphing
 Focus: Solving systems of linear equations by graphing and identifying points of intersection.
Objectives: Learn how to graph two linear equations and determine the solution from the graph.
Standards Covered: CCSS A-REI.6 
55 mins online live lesson
Lesson 2:
Class 2: Solving Systems Using Substitution
 Focus: Solving systems algebraically using the substitution method.
Objectives: Substitute one equation into another to find solutions.
Standards Covered: CCSS A-REI.6 
55 mins online live lesson
Lesson 3:
Class 3: Solving Systems Using Elimination
 Focus: Using the elimination method to solve systems of equations.
Objectives: Add or subtract equations to eliminate one variable and solve for the other.
Standards Covered: CCSS A-REI.6 
55 mins online live lesson
Lesson 4:
Class 4: Applications of Systems of Equations
 Focus: Applying systems of equations to solve real-world problems.
Objectives: Set up and solve word problems involving systems of equations.
Standards Covered: CCSS A-CED.3 
55 mins online live lesson

Other Details

External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.

Meet the teacher

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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