Linear equations are all about form. The fifth part in a unit of nine works with the different equivalent forms of linear equations. Class members become familiar with each form by identifying key aspects, graphing, and converting...

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...

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...

Different forms, same line. Young mathematicians investigate the standard form, slope-intercept form, and point-slope form of a linear equation. An interactive has them adjust lines on a coordinate plane to see changes in each form of...

Each form of a linear equation has its purpose — pupils just have to find it. Building on the previous lesson in the series, learners examine point-slope and standard form. Using point-slope form, pupils write the equation of a...

An equation is an equation is an equation. Scholars see there are many ways to solve them when they first sort a set of linear equations as written in standard form, point-slope form, or slope-intercept. They then write equations in all...

Your young mathematicians will appreciate this wonderfully organized summary and explanation of linear slope. Approaching slope as it looks in a table of values, on a graph, in an equation, and between two points, this note sheet is...

This detailed presentation starts with a review of using key components to graph a line. It then quickly moves into new territory of taking these important parts and teasing them out of a word problem. Special care is...

Get on track to learn about slope-intercept form. Scholars use an interactive to position a line along the tracks of cable car. Applying knowledge of slope and intercepts, they write the slope-intercept form of the equation for the line.

Develop another way to find the equation of a line. The lesson introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.

Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...

In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...

There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...

Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...

This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...

Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...

Scholars connect slope-intercept form and standard form to the values of m and b by first matching a set of cards that have slope-intercept form, standard form, values of m, values of b, and graphs of linear equations. They then play a...

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...

Enhance your class's understanding of linear equations by extending their study to parallel and perpendicular lines. Young mathematicians learn the relationship between the slopes of parallel and perpendicular lines. They then use that...

Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...

Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...

An inquiry-based algebra instructional activity explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as...

Pupils build on previous experience with slope to investigate positive, negative, zero, and undefined slope. They complete a puzzle matching slope-intercept and standard forms of linear equations.

There's no danger in using an exciting resource. Pupils use an interactive to change the slope of a sledding path and see how the equation changes. They then apply information about safe slopes to see if their sledding paths are...