Linear System Teacher Resources

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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...
Assessment
1
1
Balanced Assessment

Bagels or Donuts

For Students 9th - 12th Standards
Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.
Worksheet
Curated OER

Graphing Solution of a Quadratic and Linear System

For Students 8th - 10th
For this algebra worksheet, students identify the systems of equation as quadratics or linear. They graph their solutions. There are 4 questions with an answer key.
Worksheet
Curated OER

Algebraic Solution of a Quadratic, Linear System

For Students 8th - 10th
In this algebra worksheet, students solve systems of equations using linear and quadratics. They graph their solutions on a coordinate plane. There are 5 questions with an answer key.
Instructional Video3:15
Krista King Math

System of Two Equations with Subscripts

For Students 9th - 12th Standards
Show how variables with subscripts are equivalent to those without through a video that shows an example of a linear system with subscripted variables. The instructor uses elimination to solve the system.
Lesson Plan
Curated OER

Solving Systems of Equations

For Teachers 10th - 12th
Learners identify the quadrants and axis of a coordinate plane. In this algebra lesson, students discover the ocrrect way to graph using the coordinate plane. They discuss the relationship between x and y values, domain and range and...
Worksheet
Curated OER

Solving Linear Systems by Graphing #4

For Students 6th
For this problem solving worksheet, 6th graders solve 4 sets of linear system equations involving addition and subtractions by graphing out the answers to each equation.
Lesson Plan
Curated OER

Solutions, Solutions, Could it Be?

For Teachers 6th - 9th
Learners graph and solve linear system of equations. In this algebra lesson, students use algebraic and graphing methods to solve their systems. They find the point of intersection for their solution and draw inference from their data.
Worksheet
Curated OER

Linear Systems: Least Squares Approximations

For Students Higher Ed
In this least squares approximation learning exercise, students determine the number of solutions a given linear system has. They find the least square error and the equation of a line of best fit for a set of three points. Students find...
Worksheet
Curated OER

Solving Linear Systems by Substitution

For Students 9th
Need a worksheet to reinforce using substitution to solve linear systems of equations? This one contains 4 problems and plenty of work space. Tip: This would be a great quick review, warm up, or pair exercise.
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...
Instructional Video5:00
Krista King Math

Ratio and Proportion, Word problems

For Students 3rd - 7th Standards
Combine several mathematics concepts as classes solve linear systems. After writing a system of equations involving a proportion, learners then solve the system. A video instructor uses the substitution method and must work...
Instructional Video3:38
Mathispower4u

Solve a System of Equations by Graphing (Infinite Solutions) - Example

For Students 8th - 11th Standards
What happens when equations are multiples of each other? Pupils see the process of solving a system of equations by graphing. The informative video example shows two equations written in different forms that are actually the same line....
Worksheet
Curated OER

Linear - Quadratic Systems

For Students 10th - 11th
For this quadratic system worksheet, students solve systems of linear equations. This one-page worksheet contains two story problems where students write their own system of equations and then solve. The remaining eight problems are...
Worksheet
Curated OER

Linear Systems: General Solutions

For Students 11th - Higher Ed
In this linear system worksheet, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page worksheet contains approximately seven problems.
Worksheet
Curated OER

Linear Systems: Graphical Interpretation of Vectors

For Students 11th - Higher Ed
In this graphical interpretation of vectors worksheet, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
Worksheet
Curated OER

Linear Systems: Projections

For Students 12th - Higher Ed
In this projection worksheet, students explore the intuition behind projections. They calculate the length using the norm and find the projection of a vector. This two-page worksheet contains approximately five problems.
Worksheet
Curated OER

Linear Systems: Nullspace

For Students Higher Ed
In this nullspace worksheet, students explore vectors and nullspaces found in a matrix. They convert augmented matrix to echelon form. This six-page worksheet contains approximately ten problems.
Lesson Plan
Curated OER

Matrix operations and Matrix Inverses

For Teachers 11th
Eleventh graders study how to combine like vector's that are matrices. In this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...
Instructional Video7:00
Curated OER

Systems of Three Variables 2

For Students 10th - 12th
Sal uses the elimination method to simplify a system of three variables. Next, he employs the substitution method to check his solution. This resource would nicely complement any lesson on this topic.
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...
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.
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...
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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