Sophia: Determining Non Linearity From a Graph

Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...

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...

Determine a solution through accurate graphs. Using 2 examples, the narrator walks viewers through the steps to graph a system of linear equations to find the solution. 

Is it possible to tell if a table of values represents a linear function or a nonlinear function? One way is to graph the ordered pairs to see if it makes a straight line. But, take a look at the rate of change in the table. If the rate...

Use a table to determine if a function is linear or nonlinear. Assess learning with a quiz.

Slope is the steepness of a line, but how do you quantify steepness? A video demonstrates how to find the slope of a line from a graph, either by counting vertical and horizontal change or by using the slope formula. Five...

Explain how to find the slope of a graph of a line with a video that points out how no matter what two points are used on a graph of a line, the slope is the same. A few examples reiterate how to find the slope of vertical...

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...

So many methods and so little time! The efficient method of graphing a linear equation depends on what information the problem gives. Pupils learn three different methods of graphing linear equations. They graph equations using...

Given a line on a graph, what's the slope of this line? First, identify two points on the given line. Then, use a formula to find the change in y and then the change in x. This will be represented by rise over run. Watch this video to...