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Interactive
CK-12 Foundation

Graphs of Linear Systems: Star Lines

For Students 8th - 10th Standards
Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...
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Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: XYZ Tiles

For Students 8th - 10th Standards
Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...
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PPT
1
1
BW Walch

Solving Systems of Linear Equations

For Teachers 8th - 9th Standards
Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...
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Lesson Plan
EngageNY

Introduction to Simultaneous Equations

For Teachers 8th Standards
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
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Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 2

For Students 8th - 10th Standards
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
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Assessment
Mathed Up!

Solving Simultaneous Equations Graphically

For Students 8th - 11th Standards
The solution resides at the intersection. Pupils use a short instructional activity to review the process of solving a system of linear equations using graphing. The instructional activity provides completed graphs for most of the items,...
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Assessment
Mathed Up!

Simultaneous Equations with a Quadratic

For Students 9th - 12th
Viewers discover how to solve quadratic-linear systems with a video that first explains the substitution method for solving a system of equations involving a quadratic. Scholars then complete a worksheet of practice problems.
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Workbook
1
1
University of Utah

Simultaneous Linear Equations

For Students 8th Standards
Solve simultaneous linear equations, otherwise known as systems of linear equations. Pupils practice solving systems of linear equations by graphing, substitution, and elimination. The workbook provides a class activity and homework for...
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Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 1

For Students 8th - 10th Standards
Eliminate a color by dragging shapes. The interactive provides a graphical color display that allows for pupils to solve a linear system by elimination. Learners combine figures following set rules for positive and negative shapes. The...
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Lesson Plan
1
1
West Contra Costa Unified School District

Linear-Quadratic Systems

For Teachers 8th - 10th Standards
Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...
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Interactive
CK-12 Foundation

Graphs of Linear Systems: Heart Rate Tracker

For Students 8th - 10th Standards
Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...
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Interactive
CK-12 Foundation

Applications of Linear Systems: Alcohol Solution in Nursing

For Students 8th - 10th Standards
Solve alcohol systems to find the right solution. The interactive allows pupils to manipulate the amount of a solution and displays the total amount in a mixture. Individuals determine the amount of each solution needed to make 15 liters...
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Lesson Plan
1
1
Illustrative Mathematics

The Intersection of Two Lines

For Teachers 7th - 9th Standards
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
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Lesson Plan
EngageNY

Another Computational Model of Solving a Linear System

For Teachers 8th Standards
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
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Activity
Illustrative Mathematics

Dimes and Quarters

For Teachers 8th - 12th Standards
Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...
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PPT
Henrico County Public Schools

Solving Systems of Equations by Elimination

For Students 8th - 10th Standards
Eliminate the obvious. A series of slides presents algebra classes with step-by-step procedures for solving systems of equations using the elimination method. It provides an introduction to the elimination method for solving linear...
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Interactive
CK-12 Foundation

Linear Equations: Temperature Transitions

For Students 8th - 10th Standards
Explore linear conversions using an engaging interactive lesson. Learners drag a point on a graph to discover the equivalent degrees in Fahrenheit and Celsius. Embedded questions highlight key features such as slope and the y-intercept.
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Assessment
Mathed Up!

Simultaneous Equations

For Students 8th - 11th
How do you solve systems of linear equations? Scholars watch a video to learn how to solve systems using elimination-combination. After viewing the video, they solve seven systems of equations.
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Lesson Plan
West Contra Costa Unified School District

Graphing Systems

For Teachers 7th - 9th Standards
Get hands on with solving systems of equations graphically. A solid lesson plan uses guided practice to show how to solve systems of linear equations. It allows time for sharing ideas and provides a printable matching activity to promote...
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Lesson Plan
Mathematics Assessment Project

Solving Linear Equations in Two Variables

For Teachers 9th - 12th Standards
Solving problems about pen and paper with systems of equations ... or is it the other way around? In the lesson, learners first interpret expressions and use equations in two variables to solve problems about notebooks and pens. They...
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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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Lesson Plan
EngageNY

Systems of Equations Leading to Pythagorean Triples

For Teachers 8th Standards
Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...
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Lesson Plan
EngageNY

The Defining Equation of a Line

For Teachers 8th Standards
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
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Unit Plan
Curated OER

GSE Foundations of Algebra: Equations and Inequalities

For Students 7th - 9th
Need lessons on writing and solving one- and two-step linear equations and inequalities, as well as systems of equations? This comprehensive 106-page module from the Georgia Department of Education contains many different lessons for a...

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