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.
Lesson Plan
1
1
EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Space

For Teachers 11th - 12th Standards
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application...
Lesson Plan
1
1
EngageNY

Solving General Systems of Linear Equations

For Teachers 11th - 12th Standards
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
Lesson Plan
1
1
EngageNY

Systems of Equations

For Students 10th - 12th Standards
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 
Assessment
1
1
Illustrative Mathematics

Solving Two Equations in Two Unknowns

For Students 8th - 10th Standards
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning. 
Unit Plan
Curated OER

GSE Foundations of Algebra: Equations and Inequalities

For Students 7th - 9th
Need lessons on writing and solving one- and two-step linear equations and inequalities, as well as systems of equations? This comprehensive 106-page module from the Georgia Department of Education contains many different lessons for a...
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...
Unit Plan
EngageNY

Relationships Between Quantities and Reasoning with Equations and Their Graphs

For Teachers 6th - 10th Standards
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Lesson Plan
1
1
EngageNY

Graphing Systems of Equations

For Students 10th - 12th Standards
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems. 
Handout
Charleston School District

Solving Systems with Substitutions

For Students 8th - 9th Standards
How many large and small watermelons did he sell? Just use the given information to write and solve a system of equations! The two videos accompanying the lesson explain the substitution method and then introduce problem solving. The...
Lesson Plan
Virginia Department of Education

Road Trip

For Teachers 8th - 10th
Help plan a road trip with linear equations. Scholars consider two different rental car companies and write equations representing the cost for each company. They graph the system of equations to determine the conditions under which each...
Lesson Plan
West Contra Costa Unified School District

Graphing Systems

For Teachers 7th - 9th Standards
Get hands on with solving systems of equations graphically. A solid lesson plan uses guided practice to show how to solve systems of linear equations. It allows time for sharing ideas and provides a printable matching activity...
Unit Plan
Mathematics Vision Project

Module 4: Equations and Inequalities

For Students 8th - 10th Standards
Can you justify that mathematically?  Help learners see the process of solving as using mathematical properties rather than a set of steps to memorize in the fourth module of a nine-part Algebra I series. The module contains six...
Lesson Plan
1
1
EngageNY

Solution Sets to Simultaneous Equations (part 1)

For Students 9th - 10th Standards
How are systems related? Build on your pupils' previous knowledge of solving systems of equations by introducing systems of inequalities. Learners explore similarities between systems of equations and inequalities to make a strong...
Lesson Plan
1
1
EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Plane

For Teachers 11th - 12th Standards
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 1)

For Teachers 9th - 12th Standards
This first of twelve algebra 2 resources provides a broad review of many algebra 1 concepts through a number of separable lessons and labs. Starting with the real number system and its subsystems, the sections quickly but thoroughly...
Handout
Charleston School District

Solving Systems Graphically

For Students 8th - 9th Standards
When guess and check gets old, it's time to start graphing! An instructive lesson explains how to solve a system of linear equations using graphing. Equations are in both slope-intercepts and standard form. 
Lesson Plan
EngageNY

Vectors and the Equation of a Line

For Students 11th - 12th Standards
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
Lesson Plan
EngageNY

Why Are Vectors Useful? 2

For Teachers 11th - 12th Standards
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 4)

For Teachers 9th - 12th Standards
This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum...
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...
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...
Activity
5280 Math

Go with the Flow

For Teachers 8th - 12th Standards
Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...
Lesson Plan
EngageNY

Word Problems

For Teachers 8th Standards
Use several skills to solve word problems leading to systems of equations. Scholars define variables and write equations to model situations described within word problems. Pupils solve the resulting system of linear equations using...