Think critically — and linearly by applying linear equations to solve real-world problems. Young mathematicians write equations to model the profit on popcorn and cotton candy at a carnival and solve problems using these equations.

Horses need exercise, too. Scholars create linear equations to model the perimeter of exercise fields for horses. They finish by solving their equations for the length and width of the fields.

Create a math mascot by identifying irrational and rational numbers. Learners will also solve linear equations.

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,...

Class members must determine the best phone plan for customers. by assessing three different phone plans. Each plan price depends not only the number of minutes, but also the location of the calls — bringing in a third variable. Scholars...

Students participate in a lesson that covers the concepts of solving equations and inequalities. To master the concept they must demonstrate visually and verbally how both sides of an equation must be balanced. They construct a balanced...

Ninth graders identify and describe the x-intercept as the place where the line crosses the x-axis as it applies to football. They create their own differentiations to reinforce the distinction between the x-intercept and the...

Learners use the Geometer's Sketchpad to illustrate possible answers to a parallelogram problem. As a class, they discuss the point-slope and linear equation forms. Individually, students solve their equations and check the results on...

In this Algebra I/Algebra II activity, students solve systems of linear equations by addition.  The one page interactive activity contains ten questions.  Answers and hints are provided.

Students graph linear equations on a Cartesian plane. After describing data tables and their use, students explore how the information from a table can be used to create a line graph. They discuss reasons for plotting a minimum of...

This worksheet offers six problems to practice solving simultaneous equations using the method of elimination. Start with systems that require multiplying only one of the equations. Then move to systems which require multiplying both...

What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.

Middle-schoolers solve linear equations with one single variable. They solve equations that are randomly generated using index cards. Half of an equation is written on each card and distributed to the class. which then attempts solve...

Students solve linear equations and identify the unknown. In this algebra lesson, students define a variable and use addition, subtraction, multiplication and division to solve. They change the equation depending on the value of the...

Students solve inequalities and systems of equations. For this algebra lesson, students use substitution and elimination as they solve algebraic systems. They use graphing and a table to support their solutions.

In this solving linear systems worksheet, students solve twenty-four systems using the substitution and elimination methods.  Definitions and examples are provided.

Let your classes show you what they know! Use this pre-test to assess the current knowledge of your learners. The assessment includes all pre-algebra concepts related to functions: writing and graphing linear relationships, comparing...

It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...

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. 

This algebra activity reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental Theorem...

Demonstrate linear and quadratic functions through contextual modeling. Young mathematicians explore both types of functions by analyzing their key features. They then relate these key features to the contextual relationship the function...

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...

Does the number of calories you eat affect the total time you sleep? Young mathematicians tackle this question by collecting their own data and making comparisons between others in the class through building scatter plots and regression...

Ponder the problem of pizza prices. Pupils use provided information about two different pricing schedules for pizza. They create tables of values and functions to represent the pricing schemes, consider domain restrictions, and identify...