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...

High school classes can use manipulatives too! Offer hands-on, interactive lessons that venture away from the typical day in your algebra class. Young mathematicians will be involved in collaborative learning, visual...

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...

Lets keep the system working and show learners the three ways to solve linear systems of equations. Each method includes step-by-step instructions to work their way through the problem. The same problem is used for each method to show...

With 30 problems, each accompanied by a blank graph, pupils get thorough practice solving systems of equations by graphing and finding the point of intersection. Answers are provided in coordinate form.

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...

With a whopping total of 66 questions, here is a resource that provides a full variety of systems of equations questions using elimination and substitution solution methods.

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...

Double the fun of solving a linear equation with an activity that asks learners to first compete an assessment task graphing two linear equations to find the common solution. They then complete a card activity solving systems of...

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,...

It's raining (systems of) cats and dogs! The fifth unit in a nine-part course presents systems of equations and inequalities within the context of pets. Scholars use systems of inequalities to represent constraints within situations...

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...

Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...

Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...

Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...

Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...

It can take a lot of time to create one worksheet. You're in luck with a set of five systems of equations worksheets! Each version has a first page solving with substitution, elimination, and graphing; followed with an assortment of...

Learners must think critically about the graphical and algebraic forms of a system of linear equations in order to come up with their own system when given a point that is the solution to the system.

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. 

It's time to show off what they learned! The final lesson in the series is a review worksheet on the topics learned throughout the unit. Scholars solve systems of equations using graphic and algebraic methods, solve system-based word...

There is no substitute for checking the solution. A short introduction to the substitution method of solving systems of equations is an ideal resource for algebra classes. The slides present steps for the substitution method and...