Linear and Nonlinear Functions

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...

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...

Model situations with graphs. In the fourth installment of a 16-part module, scholars learn to qualitatively analyze graphs of piecewise linear functions in context. They learn to sketch graphs for different situations.

Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...

After defining intercept, Sal solves a simple equation to identify each intercept and then plots the line on a graph. This video would quite nicely complement an introductory lesson on graphing.

Provide an inconsistent example. Learners view an algebra video demonstrating how to solve a system of linear equations by graphing. The system does not have any solutions or is inconsistent. Scholars realize that the graphs of the two...

What does a dependent system look like? Learners view the graphing solution process of a dependent system of linear equations in an informative video. The scholars see that if two equations define the same line on a graph, then there is...

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...

Break it up into pieces to solve the problem. Individuals watch a video on how to graph and determine the equation and values of piecewise functions. Viewers then work several exercises to practice evaluating a piecewise function at...

Can it be determined if a given point satisfies the equation and is thus a point on the line of the graph? So given a coordinate point, plug the values into the equation and solve. If the solution is true, then the given point lies on...