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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
GeoGebra

GeoGebra Graphing Calculator

For Students 9th - Higher Ed Standards
So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.
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Lesson Plan
Curated OER

Solving Systems of Equations

For Teachers 8th - 11th
Learners explore the concept of solving systems of equations with two equations and two unknowns. In this solving systems of equations lesson plan, they work through problems of solving systems by substitution, elimination, and graphing....
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Lesson Plan
Curated OER

Graphing Systems of Inequalities

For Teachers 9th - 12th
Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.
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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
Illustrative Mathematics

The Circle and The Line

For Teachers 8th - 12th Standards
Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...
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Lesson Plan
EngageNY

Graphs Can Solve Equations Too

For Students 9th - 10th Standards
There are many equations Algebra I learners 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 exposes learners to a wide variety of types...
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Lesson Plan
EngageNY

Geometric Interpretations of the Solutions of a Linear System

For Teachers 8th Standards
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
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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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Worksheet
Curated OER

Solving Systems of Equations by Graphing

For Students 9th - 11th
In this systems of equations worksheet, students solve each system of equations by graphing on a coordinate plane. Students identify the solution to the equations by the intersection of the two graphs. They also observe that parallel...
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Worksheet
Curated OER

Systems of Equations (Systems Project Part 1)

For Students 9th - 12th
In this systems of equations worksheet, students identify and explore three ways to solve systems of equations:  graphing, substitution, elimination.  They discuss the strengths, weaknesses, and write an algorithm for each method. ...
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Worksheet
Curated OER

Systems of Equations Word Problems

For Students 9th - 11th
In this systems of equations learning exercise, students read word problems, write equations, and solve the systems of equations. They use graphing, elimination, or substitution to solve the problems. This four page learning exercise...
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Handout
Charleston School District

Solving Systems Graphically

For Students 8th - 9th Standards
When guess and check gets old, it's time to start graphing! An instructive lesson explains how to solve a system of linear equations using graphing. Equations are in both slope-intercepts and standard form. 
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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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Worksheet
Curated OER

Systems of Equations

For Students 10th - 12th
In this Algebra 2 worksheet, students solve systems of equations and inequalities then graph the solutions on a number line. There are 11 problems to solve.
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Lesson Plan
Texas Instruments

Making Predictions Using Systems of Equations

For Teachers 9th - Higher Ed Standards
Students explore the concept of systems of equations. In this system of equations lesson, students enter data into lists on their calculators about 100 meter dash times. Students plot the points using a scatter plot and perform a linear...
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Lesson Plan
Curated OER

Graphing Systems at the Races

For Teachers 9th - 12th Standards
Learners investigate systems of equations as they use the Ti-Navigator to explore scenarios about dog races and NASCAR races. Pupils determine the winner of the race and when opponents pass each other given a speed and distance.
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Worksheet
Curated OER

Investigation: Linear Quadratic Systems

For Students 9th - 12th
Investigate linear quadratic systems and pose this question: Do all linear quadratic systems have two solutions? Do they all have a solution? Learners solve systems of equations through graphing. They indicate the points of intersection...
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Lesson Plan
Curated OER

Making Connections: Matrices, Graph, Linear Systems

For Teachers 10th - 12th Standards
In this set of activities, matrices and equations are explored. They work with matrices using pen and paper as well as graphing calculator. Additionally real-world problems are explored. 
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Lesson Plan
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Ohio Literacy Resource Center

Solving Systems of Linear Equations Graphing

For Teachers 8th - 10th Standards
Do you need to graph lines to see the point? A thorough lesson plan provides comprehensive instruction focused on solving systems of equations by graphing. Resources include guided practice worksheet, skill practice worksheet, and an...
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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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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 learning exercise on the topics learned throughout the unit. Scholars solve systems of equations using graphic and algebraic methods, solve system-based...
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Worksheet
Kuta Software

Equations in Standard Form - Solving Systems by Graphing

For Students 9th - 12th Standards
Get to graphing and figure out the solution between two lines using this 14-problem worksheet. Graphs are provided for the first eight problems, but requires learners to graph the remaining six separately.
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Interactive
Desmos

Desmos Graphing Calculator

For Students 9th - Higher Ed Standards
They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....

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