Linear System Teacher Resources

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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Comparing Methods for Solving Linear Systems

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers determining the best method to solve a linear system.
Instructional Video
Khan Academy

Khan Academy: Algebra: Conic Sections: Non Linear Systems of Equations 3

For Students 9th - 10th Standards
The final video in a series of lessons on solving non-linear systems of equations. A quadratic system is given and, in the process of solving algebraically, it is determined that there is no solution. This conclusion is confirmed...
Handout
University of St. Andrews (UK)

University of St. Andrews: Gabriel Cramer

For Students 9th - 10th
Information about the life of Gabriel Cramer (1704-1752 CE), 18th century mathematician credited with "Cramer's Rule," though "Cramer was certainly not the first to give this rule."
Activity
Other

Algebra.com: Linear Equation and System Solvers: Solve Linear Systems

For Students 9th - 10th Standards
This interactive linear system solver allows you to enter two linear equations in general form and then plot the lines and find the answer using either substitution or elimination. The answer is presented with both methods accompanied by...
Instructional Video
Khan Academy

Khan Academy: Non Linear Systems of Equations: Non Linear Systems of Equations 1

For Students 9th - 10th Standards
A video lesson on solving a non-linear system of equations graphically.
Article
Math Planet

Math Planet: The Substitution Method for Solving Linear Systems

For Students 9th - 10th
A way to solve a linear system algebraically is to use the substitution method. The substitution method functions by substituting the one y-value with the other. This resource explains this method by showing an example along with a video.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Linear Systems

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Students learn to solve a linear system by graphing. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Instructional Video
Sophia Learning

Sophia: Simultaneous Linear Equations With Infinite Solutions: Lesson 11

For Students 9th - 10th Standards
This lesson explores how to determine if in a linear system of equations, two equations have all value pairs in common. It is 11 of 11 in the series titled "Simultaneous Linear Equations with Infinite Solutions."
Instructional Video
Sophia Learning

Sophia: Simultaneous Linear Equations With Infinite Solutions: Lesson 8

For Students 9th - 10th Standards
This lesson explores how to determine if in a linear system of equations, two equations have all value pairs in common. It is 8 of 11 in the series titled "Simultaneous Linear Equations with Infinite Solutions."
Instructional Video
Sophia Learning

Sophia: Simultaneous Linear Equations With No Solution: Lesson 6

For Students 9th - 10th Standards
This lesson explores how to determine if a linear system of equations has no value pairs in common. It is 6 of 10 in the series titled "Simultaneous Linear Equations with No Solution."
Instructional Video
Sophia Learning

Sophia: Simultaneous Linear Equations With No Solution: Lesson 7

For Students 9th - 10th
This lesson explores how to determine if a linear system of equations has no value pairs in common. It is 7 of 10 in the series titled "Simultaneous Linear Equations with No Solution."
Instructional Video
Sophia Learning

Sophia: Simultaneous Linear Equations With No Solution: Lesson 10

For Students 9th - 10th
This lesson explores how to determine if a linear system of equations has no value pairs in common. It is 10 of 10 in the series titled "Simultaneous Linear Equations with No Solution."
Instructional Video
Khan Academy

Khan Academy: Solving a System of 3 Equations and 4 Variables Using Matrix

For Students 10th - 12th Standards
Sal solves a linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form.
Handout
CK-12 Foundation

Ck 12: Algebra: Linear Systems: Solve by Graphing & Substitution

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to review linear systems, specifically solving by graphing and substitution. Examples are included.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Linear Systems

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Students find ordered pairs that satisfy a system of linear equations and solve linear systems by graphing. Students examine guided notes, review guided practice,...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Linear Systems

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Students learn to solve linear systems by graphing. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Problem Solving Using Linear Systems

For Students 9th - 10th Standards
Ten problems present practice using problem-solving with linear systems in real-world situations. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Systems Using Substitution

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Solve linear systems by using substitution.
Instructional Video
Khan Academy

Khan Academy: Algebra: Conic Sections: Non Linear Systems of Equations 2

For Students 9th - 10th Standards
The second in a series of video lessons on solving non-linear systems of equations. This video shows an example of how to solve a system in which both equations are quadratic by using the substitution method. After the solutions are...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c.7 & a rei.d.10: A Linear and Quadratic System

For Teachers 9th - 10th
The purpose of this task is to give students the opportunity to make connections between equations and the geometry of the graphs. Aligns with A-REI.C.7and A-REI.D.10.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Sistemas De Ecuaciones Lineales

For Students 9th - 10th Standards
In Spanish. Learn the algebraic language to represent and solve systems of two linear equations with two unknowns.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Writing and Solving a Matrix Equation

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers using a matrix equation to solve a system of linear equations.
Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Introduction to Numerical Analysis for Engineering

For Teachers 9th - 10th
College-level electrical engineering course highlighting numerical analysis for engineers. This course introduces students to the formulation, methodology, and techniques for numerical solution of engineering problems. Course features...
Activity
Interactive Mathematics

Interactive Mathematics: Graphical Solutions of a System

For Students 9th - 10th Standards
An example of how to find the solution of a linear system is presented using the graphing method. This is a nice tutorial for students to use as a reference while practicing with linear systems.

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