Curated OER
Application of Linear Systems
Let the learners take the driving wheel! The class solves systems of linear equations and applies the concepts of systems to solve a real-world situation about parking cars and buses. They then use calculators to create a visual of their...
Curated OER
Solving Problems Using Systems of Equations
In this system of equation worksheet, students use the substitution and elimination methods to solve systems of equations. Students must read a short story, write the equations the story represents, and then solve the systems of...
Curated OER
Solving Systems by Graphing
Solve systems of equations with your super smart upper graders. They solve systems of equations and then graph two lines to find where they intersect. The focus on the activity is to have learners explore moving a point to illustrate...
Illustrative Mathematics
The Circle and The Line
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...
EngageNY
Geometric Interpretations of the Solutions of a Linear System
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...
West Contra Costa Unified School District
Solving Systems of Inequalities
Don't throw away those transparency sheets just yet! Young scholars first review inequalities on a number line, then learn about graphing inequalities in the coordinate plane. Finally, they use overhead transparencies to create systems...
West Contra Costa Unified School District
Solving a System by Substitution
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
Illustrative Mathematics
The Intersection of Two Lines
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...
West Contra Costa Unified School District
Connecting Graphing and Solving Absolute Value Equations and Functions
Can you solve an equation graphically? Absolutely! This Algebra II lesson makes the connection between solving an absolute value equation and graphing two functions. Graphing absolute value functions is presented through the process of...
Willow Tree
Systems of Equations
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
Curated OER
Systems of Linear Equations
Introduce the inverse matrix method to solve systems of linear equations both algebraically and graphically. Using given data, your class checks their answers with graphing calculators. Handouts are included in this well-thought out lesson.
EngageNY
Solution Sets to Simultaneous Equations (part 2)
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...
EngageNY
Solution Sets to Simultaneous Equations (part 1)
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...
Curated OER
Making Connections: Matrices, Graph, Linear Systems
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.
Texas Instruments
Making Predictions Using Systems of Equations
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...
Curated OER
Solving Systems by Graphing
Learners solve systems of equation through graphing. In this algebra lesson, students solve linear equations and analyze the result to figure out if there is one solution, no solution or infinitely many solutions. They graph their lines...
Curated OER
Solving Systems using Elimination
Using elimination to find the point of intersection of two lines, students learn to solve systems of equation. They graph their solutions and use the TI to verify the solution.
Curated OER
Solving Systems with Row Operations 1
Students solve systems of equations. In this algebra instructional activity, students use matrices to solve linear equations. They use reduced row echelon-form and scalar multiplier to simplify the matrices completely.
Curated OER
How Many Solutions to the System?
Solve systems of equation using graphing! In this algebra activity, students use the TI to graph two lines and identify the number of solutions. They perform interactive graphing on the navigator.
EngageNY
Graphing Systems of Equations
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.
Curated OER
Lesson 2 Solving y=mx+b systems
Young scholars solve linear systems using slope intercept form. In this algebra lesson, students solve equations by rewriting them in the form y = mx + b. They evaluate coordinate pairs to see if they are a solution to the problem. Young...
Curated OER
Solving Systems with Row Operations 2
Have your class solve equations using matrices by teaching them how to factor systems of equation to identify the point of intersection. They create their matrices on the Ti and perform row operations to simplify.
Curated OER
Matrices at the Speed of Light!
Perform operations using matrices in this algebra activity. Middle schoolers add, subtract, and multiply matrices. Additionally, they solve systems of equations using matrices.
EngageNY
Linear Systems in Three Variables
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.