Interactive
CK-12 Foundation

Problem-Solving Models: Subway vs. Taxi

For Students 8th Standards
Ride to success in understanding systems of equations. Scholars graph a system of equations on the cost of a subway and a taxi using an interactive. Using this graph allows users to answer some questions about the situation.  
Assessment
Mathematics Assessment Project

Baseball Jerseys

For Teachers 6th - 8th Standards
Batter up! As an assessment task, learners write linear functions to model the cost of baseball jerseys. They then determine which of two companies would charge a cheaper rate to buy baseball jerseys.
Performance
Radford University

Finding a Location for Your Kitchen Island

For Teachers 9th - 12th Standards
Where is the best place to work? Small groups map out a kitchen on a coordinate plane and find the centers of the work triangle to find the best place to install an island. The teams use algebraic methods to locate the center by finding...
Worksheet
Curated OER

Linear Systems: General Solutions

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

Investigating Equations of Lines

For Teachers 9th - 12th Standards
High schoolers investigate linear equations as they use technology (Cabri, Jr.) to explore the equations of lines in slope-intercept form. The technology allows learners to manipulate the line and observe the changes in the parameters of...
Lesson Plan
Curated OER

Know the System

For Teachers 8th - 11th
Students identify the different systems of equations. In this algebra instructional activity, students solve systems of equations using graphing, elimination and substitution. They use the Ti to graph their systems.
Lesson Plan
Curated OER

I Can Do This! Systems of Equations

For Teachers 8th - 9th
Pupils solve systems of 2-by-2 linear equations using tables, graphs and substitution. In small groups, classmates work together to discover strategies for solving equations. They use a calculator to graphically represent their answers.
Lesson Plan
Curated OER

Linear Systems

For Teachers 7th - 9th
Students solve and graph linear equations. In this algebra lesson, students solve systems of equations using elimination and substitution. They graph their answer and identify the point of intersection.
Worksheet
Curated OER

Twenty-Four Linear Systems Solved Using Substitution and Elimination

For Students 10th - 12th
In this solving linear systems worksheet, students solve twenty-four systems using the substitution and elimination methods.  Definitions and examples are provided.
Worksheet
Curated OER

Multivariable Calculus: Linear Systems

For Students 12th - Higher Ed
In this linear system worksheet, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page worksheet contains examples, explanations, and three multi-step...
Worksheet
Curated OER

Systems of Equations

For Students 7th - 10th
In this algebra activity, students factor systems of equations using elimination and substitution. THey graph their lines and find the point of intersection. There are 15 questions.
Worksheet
Curated OER

Linear Systems: The Determinant

For Students Higher Ed
In this determinant worksheet, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page worksheet contains approximately nine problems, as well as examples and...
Worksheet
Curated OER

Systems of Equations (A)

For Students 6th - 8th
In this systems of equations practice worksheet, students use their problem solving skills to solve 24 problems.
Lesson Plan
Curated OER

Secret Messages and Matrices

For Teachers 9th - 11th
Pupils use matrices and linear equations to decrypt a secret message. They receive a part of the encoded message to decode by means of inverse matrices. Pupils write critiques about the activity.
Assessment
Inside Mathematics

Graphs (2007)

For Teachers 9th - 12th Standards
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
Lesson Plan
Illustrative Mathematics

Sammy's Chipmunk and Squirrel Observations

For Teachers 7th - 9th Standards
Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns.  Scholars could find the answer algebraically or create a table to analyze the...
Worksheet
Curated OER

Linear Systems: Linear Equations

For Students 11th - Higher Ed
In this linear systems activity, students use a matrix to represent linear systems. This four page activity provides examples, explanations and approximately eight problems to complete.
Worksheet
Curated OER

Linear Systems: Linear Equations, Vectors and Matrices

For Students Higher Ed
In this matrices worksheet, students write matrix notation to represent linear systems. This four-page worksheet contains approximately 15 problems.
Worksheet
Curated OER

Numerical Analysis: Solving Linear Equations

For Students Higher Ed
In this linear equation worksheet, students compare methods to solve linear equations. This four-page worksheet contains approximately five questions.
Worksheet
Curated OER

Algebra II: Chapter 7 Test - Systems of Equations

For Students 9th - 12th
In this systems of equations instructional activity, high schoolers solve systems of equations, systems of inequalities, and linear equations.  They read word problems and write a system of equations that depicts the problem. ...
Worksheet
Curated OER

Linear Systems/ LU Decomposition

For Students 11th - Higher Ed
In this math worksheet, students find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.
Worksheet
Curated OER

Linear Systems: Reduced Row Echelon Matrix and Rank

For Students Higher Ed
Students find the nullspace of the three matrices by finding the reduced row echelon matrix for each in this activity. They convert three matrices to reduced row echelons and show they have only one pivot. Students find the rank of three...
Worksheet
Curated OER

Using Systems of Equations

For Students 8th - 10th
For this algebra worksheet, students solve systems of equations. They use substitution, elimination and graphing to solve. There are 33 questions with an answer key.
Worksheet
Curated OER

Linear Systems and Quadratics

For Students 9th - 11th
In this algebra worksheet, students solve quadratic equations and linear equations. They graph their points and identify where the 2 intersect. There are 10 questions with an answer key.

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