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...

A line is a line is a line. As a middle school assessment task, learners first identify graphs of given linear equations. They then identify the equations that represent real-world situations.

What does a slope of 2/3 mean? Develop an understanding of the key features of a linear function. Pupils graph the linear functions and explain the meaning of the slope and intercepts of the graphs. 

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...

Teaching linear function relationships using contextual information is beneficial to pupils' understanding. The lesson uses problem solving to build linear functions given different information for each problem. This is the second...

Don't forget the tables! The previous lessons in this five-part series examined the linear equation and graph relationship. The current lesson adds tables to the mix. At completion, individuals should be able to create a table of values,...

Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...

High schoolers determine the linear equations of the density of water and oil by collecting data on the mass of various volumes of each liquid. They construct scatter plots from the data and use these to write the linear equations for...

Keep your mathematicians engaged using this group linear functions activity. Each of ten groups receives two graphs with both an image and equation, as well as a "who has" phrase to call out the next graph. Scholars stay on their toes as...

A thorough and professional appearance characterizes a lesson on linear equations. Maturing mathematicians are taught to identify and exemplify linear equations with a single variable. They also classify equations according to the number...

Use the distributive property to solve equations. The sixth instructional activity in a 33-part series has scholars solve equations that need to be transformed into simpler equations first. Class members apply the distributive property...

Scientists need to have mastered algebraic slope-intercept concepts in order for this lesson to be effective. They will measure and graph solar panel output as a function of the amount of radiation striking it, discovering that there is...

Linear or not linear — that is the question. The lesson plan has class members translate descriptions into algebraic expressions. They take the written expressions and determine whether they are linear or nonlinear based upon the...

Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...

Not all linear functions are linear transformations, only those that go through the origin. The third lesson in the 32-part unit proves that linear transformations are of the form f(x) = ax. The lesson plan takes another look at examples...

Connect linear equations, proportionality, and constant rates of change to linear functions. Young mathematicians learn how linear equations of the form y = mx + b can represent linear functions. They then explore examples of linear...

Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...

It's not a sprint, it's a marathon! Statistic concepts take time to develop and understand. A guided activity provides an opportunity for individuals to practice their linear regression techniques in spreadsheet software. The activity...

The task? Determine the how effective hospitals are at reducing the rate of hospital-acquired infections. The method? Data analysis! Using an open source software program, individuals use provided data and create scatterplots to look for...

Here is a well-designed resource that provides five yes-or-no questions which model different situations with linear functions. It makes a good pre-test for the beginning of the unit. The purpose is to elicit common misconceptions of...

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...

Everybody loves video day! Grab your class's attention with this well-designed and engaging resource about graphing. The video introduces a scenario that will be graphed with a piecewise function, then makes a connection to domain...

Linear or exponential?. Learners watch an informative video comparing situations that may be modeled by either a linear or exponential relationship. Pupils determine the type of relationship and then create a function that models the...

Solve any issues you have with solving linear equations. Learners solve linear equations in one variable, starting with two-step equations, in the first chapter of a 10-part eighth-grade workbook series. They then progress to equations...