Nonlinear Inequalities

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...

A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...

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.

Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...

Bring the video in tow when studying linear functions. Young pupils learn to apply linear functions to real-world contexts by watching a short instructional video. Given information about the cost of hiring a tow company, they create a...

Sal takes your class’ newfound (or growing) knowledge of graphs of lines to the next level. He presents a few word problems in which mathematicians need to understand how to use linear function graphs.

Parameters can move and change the steepness of a graph. Introduce the effects of changing the slope or the y-intercept of a linear graph. The resource shows how to incorporate changes on graphs and how they will move up, move down,...

The path to learning about linear functions is a straight line. Scholars first learn to connect the slope-intercept form of a linear function to features of its graph. They then see how to write a linear function given two points and to...

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...