Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei Pairs of Whole Numbers

For Teachers 9th - 10th
The premise of this problem is simple - students must find three whole numbers with three different sums when they are added in pairs. To do this, they set up a system of linear equations in three variables. Aligns with A-REI.C.6.
Unit Plan
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. In this interactive unit learn how to identify, graph and solve linear equations with two unknowns.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: The Intersection of Two Lines

For Teachers 8th Standards
The purpose of this task is to introduce students to systems of equations. It takes skills and concepts that students know up to this point, such as writing the equation of a given line, and uses it to introduce the idea that the...
Activity
Texas Instruments

Texas Instruments: Intersection of a Line With a Parabola

For Teachers 9th - 10th
In this activity, students use Computer Algebra System (CAS) tools to find intersections of linear and non-linear equations. They confirm their answers by graphing the equations on the calculator.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c.6: Accurately Weighing Pennies I

For Teachers 9th - 10th
In this problem, students will use the number of decimal places in the coefficients to motivate writing and solving a system of equations. Aligns with A-REI.C.6.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei Solution Sets

For Teachers 9th - 10th Standards
For this task, students are shown the graphs of two equations, with areas bounded by their lines and intersections shaded in different colors. They are asked to write a system of equations or inequalities for each shaded area and explain...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei the Circle and the Line

For Teachers 9th - 10th Standards
Students are required to solve a system of equations in this task which will demonstrate their understanding of the correspondence between intersection points of the two graphs and solutions of the system. Aligns with A-REI.C.7.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Matrix of a System and Row Operations

For Students 9th - 10th Standards
The tutorial examines the matrix of a system and row operations. Students learn about the concepts through class notes, examples, and practice problems. Topics include a system of linear equations and augmented matrices. Review exercises...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei Quinoa Pasta 2

For Teachers 9th - 10th
For this problem, learners must determine how much quinoa and how much corn are in a type of pasta. They must study the ingredient list which shows the protein content of the pasta. They know that quinoa has more protein than corn and...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Linear Inequalities in Two Variables

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers graphing inequalities in two variables.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Linear Programming

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Given a set of constraints, graph and solve linear problems.
PPT
Sophia Learning

Sophia: Using Elementary Row Operations to Solve for Systems of Equations

For Students 9th - 10th Standards
This lesson presents how to use elementary row operations to solve for a system of linear equations.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Write an Equation Given Two Points

For Students 8th - 9th
[Free Registration/Login may be required to access all resource tools.] Learn how to write an equation given two points
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Write an Equation Given the Slope and a Point

For Students 8th - 9th
[Free Registration/Login may be required to access all resource tools.] Learn how to write the equation of a line given the slope and any point.
Activity
Texas Instruments

Texas Instruments: Solving Equations

For Teachers 9th - 10th
Learn to use the TI-86 to solve many types of equations by following this lesson plan and activity. Included are keystroke instructions and calculator screenprints to guide students.
Activity
Texas Instruments

Texas Instruments: Creating Piece Wise Functions Using Cbr System

For Teachers 9th - 10th
In this lesson, students can use the CBR ranger to model walking distance over time. They will walk away from the sensor, back towards the sensor and finally away from the sensor over an interval of 10 seconds. The result should be 3...
Activity
Hofstra University

Hofstra University: Linear Programming

For Students 9th - 10th Standards
This lesson is a review of problems with systems of inequalities. Many of the questions involve real world scenarios as word problems which the reader must decipher and resolve.
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.
Unknown Type
Khan Academy

Khan Academy: Interpret Equations Graphically

For Students 9th - 10th Standards
Practice the connection between the graphical representation of equations and their algebraic solutions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Activity
University of Regina (Canada)

University of Regina: Math Central: How to Augment a Matrix

For Students 9th - 10th Standards
In easy to follow steps, this resource replies to a student's question on how to augment a matrix.
Whiteboard
ClassFlow

Class Flow: Applications Using Systems

For Teachers 9th - 10th Standards
[Free Registration/Login Required] This flipchart provides guided practice with word problems involving systems of equations and gives a brief review on solving systems of equations.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Comparing Equations of Parallel and Perpendicular Lines

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Use their slopes to determine if two lines are parallel or perpendicular.
Lesson Plan
Alabama Learning Exchange

Alex: Battleships

For Teachers 9th - 10th
This lesson is designed to review and reinforce three methods (graphing, substitution and elimination) of solving systems of linear equations. The students will work together and independently to find the solutions to systems of...
Handout
Oak Ridge National Laboratory

Ornl: 7 Gaussian Elimination on Band Matrices

For Students 9th - 10th Standards
This site gives an example of solving a system of equations with the use of Gaussian Elimination.

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