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Worksheet
Washingtonville Central School District

Systems of Equations (Substitutes and Elimination)

For Students 9th - 12th Standards
With a whopping total of 66 questions, here is a resource that provides a full variety of systems of equations questions using elimination and substitution solution methods.
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Unit Plan
1
1
Mathematics Vision Project

Module 2: Systems of Equations and Inequalities

For Teachers 8th - 10th Standards
The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...
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Lesson Plan
National Security Agency

Systems of Equations and Inequalities

For Teachers 9th - 12th Standards
High school classes can use manipulatives too! Offer hands-on, interactive lessons that venture away from the typical day in your algebra class. Young mathematicians will be involved in collaborative learning, visual representations, and...
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Lesson Plan
EngageNY

Applications of Systems of Equations and Inequalities

For Students 9th - 10th Standards
Is the application of systems of equations giving your class headaches? Use this resource to build on your pupils' logic to lead them to building equations and using algebraic methods. The activity begins with an exploration of solving...
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Unit Plan
Mathematics Vision Project

Module 5: Systems of Equations and Inequalities

For Students 8th - 10th Standards
Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...
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Lesson Plan
1
1
EngageNY

Systems of Equations

For Students 10th - 12th Standards
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 
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Lesson Plan
1
1
EngageNY

Graphing Systems of Equations

For Students 10th - 12th Standards
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems. 
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Worksheet
2
2
Flipped Math

Unit 5 Review: Systems of Equations

For Students 9th - 12th Standards
Activate transformers along with algebra systems. Pupils use 10 problems to review transformations of functions to solve a variety of systems of equations. Individuals identify the types of transformations from an equation along with...
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Lesson Plan
Virginia Department of Education

Nonlinear Systems of Equations

For Students 10th - 12th Standards
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
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Unit Plan
EngageNY

Relationships Between Quantities and Reasoning with Equations and Their Graphs

For Teachers 6th - 10th Standards
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
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PPT
Henrico County Public Schools

Solving Systems of Equations by Substitution

For Students 8th - 10th Standards
There is no substitute for checking the solution. A short introduction to the substitution method of solving systems of equations is an ideal resource for algebra classes. The slides present steps for the substitution method and apply...
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Assessment
EngageNY

End-of-Module Assessment Task - Algebra 1 (Module 1)

For Students 9th - 10th Standards
What do your young geniuses really know? Assess the procedural knowledge of your pupils at the same time as their higher-level thinking with an assessment that identifies their depth of knowledge. Topics include solving...
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Assessment
Charleston School District

Review Unit 6: Systems of Equations

For Students 8th - 9th Standards
It's time to show off what they learned! The final lesson in the series is a review worksheet on the topics learned throughout the unit. Scholars solve systems of equations using graphic and algebraic methods, solve system-based word...
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Lesson Plan
EngageNY

Linear Systems in Three Variables

For Students 10th - 12th Standards
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
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Handout
Charleston School District

Solving Systems with Substitutions

For Students 8th - 9th Standards
How many large and small watermelons did he sell? Just use the given information to write and solve a system of equations! The two videos accompanying the lesson explain the substitution method and then introduce problem solving. The...
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Lesson Plan
1
1
EngageNY

Solution Sets to Simultaneous Equations (part 2)

For Students 9th - 10th Standards
Do you want your budding mathematicians to be able to explain 'why' and not just 'do'? This lesson encourages an understanding of the process of elimination. Pupils are expected to understand how and why the elimination method is a valid...
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Lesson Plan
1
1
EngageNY

Solution Sets to Simultaneous Equations (part 1)

For Students 9th - 10th Standards
How are systems related? Build on your pupils' previous knowledge of solving systems of equations by introducing systems of inequalities. Learners explore similarities between systems of equations and inequalities to make a strong...
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Lesson Plan
EngageNY

Nature of Solutions of a System of Linear Equations

For Teachers 8th Standards
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
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Lesson Plan
1
1
EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Space

For Teachers 11th - 12th Standards
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application questions...
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Assessment
Los Angeles County Office of Education

California State Standards: Algebra I

For Students 8th - 10th Standards
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a variety of ways to...
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Lesson Plan
EngageNY

Graphs Can Solve Equations Too

For Students 9th - 10th Standards
There are many equations Algebra I students are not ready to solve. Graphing to solve gives them a strategy to use when they are unsure of an algebraic approach to solve the problem. The lesson plan exposes learners to a wide variety of...
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Lesson Plan
1
1
Curated OER

Find A System

For Teachers 9th - 12th Standards
Learners must think critically about the graphical and algebraic forms of a system of linear equations in order to come up with their own system when given a point that is the solution to the system.
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Handout
University of California

Student Workbook: Algebra I

For Students 8th - 11th Standards
Need a helping hand in Algebra I? How about a giant, super-sized worksheet packet? Here is a resource that has worksheets for virtually every concept with some accompanying examples. 
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eBook
Rice University

Elementary Algebra

For Students 8th - 10th Standards
Find all the Algebra 1 content in one location. A helpful eBook contains the content typically found in an Algebra 1 course. Concepts range from solving and graphing linear equations to solving and graphing quadratic equations. Pupils...

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