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...

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...

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,...

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...

The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...

Algebra students use manipulatives to solve linear equations. They use manipulatives, symbolic methods, and substitution to demonstrate each algebraic solution.

How can you graph lines that don't seem to fit on the given graph? What makes a line straight? What does the rate of change mean when graphing a line? How do you know if a slope is positive or negative? How do you know if the graph of a...

Develop another way to find the equation of a line. The lesson plan 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...

Scholars first complete an assessment task on writing linear equations to model and solve a problem on a running race. They then take part in a card matching activity where they match equations and graphs of lines to diagrams of fluid...

Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.

In this linear equation worksheet, learners write given equations in the slope-intercept form. They identify the slope and y-intercept. This one-page worksheet contains ten problems, with answers.

In this linear equation worksheet, young scholars write the linear equation of a line that passes through a given point. This one-page worksheet contains 15 problems, with answers.

In this linear equation worksheet, students write the equation of a line passing through two given points. This one-page worksheet contains 12 problems, with answers.

Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.

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...

Students find the slopes of linear functions. In this graphing lesson, students analyze linear equations and calculate the slope of the line. They graph a line given the slope and y-intercept.

Your learners will explore linear functions by analyzing a graph of the linear equations.Then learners analyze through calculating f(x+P) and g(x+p)

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...