Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...

Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...

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...

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...

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...

Do you need to graph lines to see the point? A thorough lesson plan provides comprehensive instruction focused on solving systems of equations by graphing. Resources include guided practice worksheet, skill practice worksheet,...

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. 

If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...

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...

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...

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. 

Two of the strategies for solving systems of linear equations are represented in this foldable: substitution and elimination. Learners solve three examples of each. 

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.

Now that learners figured out how to solve for one variable, why not add another? The activity demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.

Apply systems of inequalities to a real-world problem. Here, scholars learn to graph solutions to systems of linear inequalities. To finish the lesson, they solve a problem involving burgers and cheeseburgers using a system of inequalities.

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...

Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.

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. 

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...

How can you solve systems of linear equations? This slideshow introduces learners to the substitution method, the elimination method using addition and subtraction, and the elimination method using multiplication. Guided practice...

An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...

Do you want your budding mathematicians to be able to explain 'why' and not just 'do'? This lesson encourages an understanding of the process of elimination. Pupils are expected to understand how and why the elimination method is a valid...

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...

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...