Linear System Teacher Resources

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Worksheet
Curated OER

Numerical Analysis: Discrete Least Squares

For Students Higher Ed
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
Worksheet
Curated OER

Numerical Analysis: Dimensional Vectors

For Students Higher Ed
In this dimensional vector worksheet, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page worksheet contains approximately ten problems.
Worksheet
Curated OER

Linear Systems: Least Squares Approximations

For Students 11th - Higher Ed
For this least squares approximation worksheet, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This four-page...
Worksheet
Curated OER

Linear Systems: Nullspace Matrix and Rank

For Students 11th - Higher Ed
In this nullspace matrix worksheet, students observe the rank and number of independent rows and columns a matrix has. They compute the product of matrices and describe the column space of each. This two-page worksheet contains...
Lesson Plan
Curated OER

What Are The Chances

For Teachers 7th - 11th
Students calculate the probability of an event occurring. For this probability lesson, students differentiate between independent, dependent or compound events. They find the range of the data.
Worksheet
Curated OER

House Painting Problems

For Students 9th - 10th
In this house painting problem, students solve a work problem.  They determine the amount of time it takes to paint a house.  This one-page worksheet contains 1 problem.  The answer is provided.
Lesson Plan
Curated OER

Systems of Linear Inequalities in Slope-Intercept Form -- Lecture

For Teachers 6th - 8th
Students are introduced to linear inequalities in slope-intercept form. As a class, they participate when needed in a demonstration given by their teacher and practice graphing inequalities and describing the solution. They set up and...
Lesson Plan
Pennsylvania Department of Education

Alike and Different

For Teachers Pre-K - 2nd
Students compare and contrast objects and are introduced to a Venn Diagram. In this alike and different lesson, students make observations regarding properties of objects. Students classify object and build ideas about variables....
Worksheet
Curated OER

MT-A315 Introduction to Linear Algebra: Worksheet 1.5

For Students 9th - 11th
In this linear algebra worksheet, students examine a matrix, determine the vectors, list the parameters, and identify the null space. Students explain the parameters in the description of the null space There are four problem solving...
Instructional Video
Sophia Learning

Sophia: Solving Linear System by Graphing

For Students 9th - 10th Standards
This video tutorial demonstrates how to solve a linear system of equations by graphing. The lesson includes detailed examples.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Determining the Type of Linear System

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Solve a system and use the result as a guide to identify its type.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Determining the Type of Linear System

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving a system by graphing when there is no solution or infinitely many solutions.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Determining the Type of Linear System

For Students 8th Standards
[Free Registration/Login may be required to access all resource tools.] Recognize linear systems of equations with solutions and without solutions.
Instructional Video
Khan Academy

Khan Academy: 3 Variable Linear System Word Problem

For Students 9th
Sal solves a word problem about the angles of a given triangle by modeling the given information as a system of three equations and variables.
Instructional Video
Khan Academy

Khan Academy: Algebra: Conic Sections: Non Linear Systems of Equations 1

For Students 9th - 10th Standards
A video lesson on solving a non-linear system of equations graphically. The system consists of one quadratic equation and one linear equation. Both are graphed to find the points of intersection. The solutions are confirmed algebraically...
Instructional Video
Sophia Learning

Sophia: Solving a System of Linear Equations by Graphing: Lesson 10

For Students 9th - 10th Standards
This lesson will review how to solve for a linear system of equations by graphing. It is 10 of 14 in the series titled "Solving a System of Linear Equations by Graphing."
Instructional Video
Sophia Learning

Sophia: Solving a System of Linear Equations by Graphing: Lesson 6

For Students 9th - 10th Standards
This lesson will review how to solve for a linear system of equations by graphing. It is 6 of 14 in the series titled "Solving a System of Linear Equations by Graphing."
Instructional Video
Sophia Learning

Sophia: Solving a System of Linear Equations by Graphing: Lesson 1

For Students 9th - 10th Standards
This lesson will review how to solve for a linear system of equations by graphing. It is 1 of 14 in the series titled "Solving a System of Linear Equations by Graphing."
Instructional Video
Sophia Learning

Sophia: Solving a System of Linear Equations by Graphing: Lesson 8

For Students 9th - 10th Standards
This lesson will review how to solve for a linear system of equations by graphing. It is 8 of 14 in the series titled "Solving a System of Linear Equations by Graphing."
Activity
Texas Instruments

Texas Instruments: Solving a System of Linear Equations

For Teachers 9th - 10th
In this activity, students' will collect and analyze motion data in order to determine the solution to a linear system of equations. They graph two motions on a common axis and find their intersection.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Checking a Solution for a Linear System

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers determining if an ordered pair is a solution to a system of linear equations. Students watch a video tutorial, explore guided notes and attempt...
Instructional Video
Sophia Learning

Sophia: Solving a System of Linear Equations by Graphing: Lesson 13

For Students 9th - 10th Standards
This lesson will review how to solve for a linear system of equations by graphing. It is 13 of 14 in the series titled "Solving a System of Linear Equations by Graphing."
Instructional Video
Sophia Learning

Sophia: Solving a System of Linear Equations by Graphing: Lesson 7

For Students 9th - 10th Standards
This lesson will review how to solve for a linear system of equations by graphing. It is 7 of 14 in the series titled "Solving a System of Linear Equations by Graphing."
Instructional Video
Sophia Learning

Sophia: Finding the Graphical Solution for Two Equations

For Students 9th - 10th Standards
This lesson will review how to solve for a linear system of equations by graphing.

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