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System of Equations by Elimination Guided Notes w/ Doodles | Linear Equations
$4.25
Overview
Get the Lesson Materials
System of Equations by Elimination Guided Notes w/ Doodles | Linear Equations
$4.25
Learning Objectives
After this lesson, students will be able to:
- Solve a system of linear equations using the elimination method
- Identify when a system has one solution, no solution, or infinite solutions
- Identify when to use the elimination method to solve a system of linear equations
- Apply the concept of elimination to real-life mathematical situations
Prerequisites
Before this lesson, students should be familiar with:
- Understanding of how to solve two step equations
- Basic understanding of operations with integers and fractions
Materials
- Pencils
- Colored pencils or markers
- System of Equations by Elimination Guided Notes w/ Doodles | Linear Equations
Key Vocabulary
- System of Equations
- Elimination Method
Procedure
Introduction
As a hook, ask students why knowing how to solve a system of linear equations by elimination might be important in real life situations. Refer to the last page of the guided notes as well as the FAQs below for ideas.
Use the first page of the guided notes to introduce the concept of solving a system of linear equations by elimination. Walk through the process of obtaining a common coefficient to eliminate one variable so that you can solve for the other. Emphasize the importance of multiplying or divide the equations by a common factor so eliminate one variable first. Walk through the 4 examples on the first page of the guided notes with your students. This will allow them to see the cases where the system contains one solution, no solution, or infinite solutions.
Continue with the second page of the guided notes to have students practice how to apply the elimination method to solve pairs of simultaneous linear equations. The practice is divided into 3 levels of difficulty. Students will encounter problems where the system of linear equations has one solution, no solution, or infinite solutions.
Throughout the guided notes, monitor student understanding and engagement. Based on student responses during the introduction, reteach any concepts that students may need extra help with. If there is a wide range of proficiency levels in your class, consider pulling out students for additional reteaching while more advanced students can begin working on the practice exercises.
Practice
Have students practice solving system of equations by elimination using the practice worksheet (pg. 2 of guided notes) provided in the resource. Then, have them move onto the maze activity (pg. 3 of guided notes). Walk around to answer student questions.
Fast finishers can dive into the color by number activity (pg. 4 of guided notes) for extra practice. You can assign it as homework for the remainder of the class.
Real-Life Application
Using the last page of the guided notes (pg. 5), bring the class back together, and introduce the concept of using simultaneous linear equations by elimination to solve real-world problems, such as calculating costs for a combination of items, determining the number of different types of items to produce to meet a specific budget, or analyzing scenarios where two variables are interdependent. Refer to the FAQ for more ideas on how to teach it!
Extensions
Additional Self-Checking Digital Practice
If you’re looking for digital practice for adding and subtracting numbers in scientific notation, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It’s incredibly fun, and a powerful tool for differentiation.
Here are some activities to explore:
Additional Print Practice
A fun, no-prep way to practice adding and subtracting numbers in scientific notation is Doodle Math — they’re a fresh take on color by number or color by code. It includes multiple levels levels of practice, perfect for a review day or sub plan.
Here are some activities to try:
FAQs
Solving a system of equations by elimination involves adding or subtracting the equations to eliminate one of the variables, making it easier to solve for the remaining variable.
Key Points:
- Multiply or divide both of the linear equations with a non-zero number to get a common coefficient of any one of the variables.
- Combine the equations by adding or subtracting to eliminate one variable.
- Once one variable is eliminated, solve for the remaining variable.
- Finally, substitute the value found back into one of the original equations to find the other variable.
Solving systems of equations by elimination is useful when the coefficients of one of the variables are opposites, allowing for easy elimination to find the solution.
Key Points:
- Useful when coefficients of one variable are opposites.
- Simplifies the process of solving simultaneous equations.
- Elimination helps in finding the value of both variables in the system.
The step-by-step process of solving a system of equations by elimination involves identifying the variables to eliminate, adding or subtracting the equations to remove a variable, and solving for the remaining variable.
Key Points:
- Identify the variable to eliminate by ensuring the coefficients are opposites.
- Add or subtract the equations to eliminate the identified variable.
- Solve for the remaining variable by performing arithmetic operations.
- Substitute the value back into an original equation to find the other variable.
Solving systems of equations by elimination is used in real-life scenarios such as calculating costs with different pricing structures or determining solutions that satisfy multiple conditions simultaneously.
Key Points:
- Used in problems involving multiple conditions to find a common solution.
- Applicable in scenarios like cost analysis with various pricing schemes.
- Helps in optimizing solutions that satisfy multiple constraints.
Using guided notes and doodles to teach system of equations by elimination helps engage students visually, reinforces key concepts through visual representations, and provides a structured format for learning.
Key Points:
- Visual engagement supports better retention of concepts.
- Doodles aid in reinforcing learning through creative expression.
- Structured notes offer organized guidance for students to follow along.
Effective strategies for teaching system of equations by elimination to 8th-grade students include breaking down the process into manageable steps, providing real-life examples, encouraging peer collaboration, and offering visual aids for better understanding.
Key Points:
- Break down the elimination process into clear and concise steps.
- Use real-life examples to demonstrate the practical application of solving systems of equations.
- Encourage peer collaboration through group activities or discussions.
- Provide visual aids such as diagrams or chart representations for visual learners.