Too Free, Or Not Too Free?

It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....

Learners examine scatterplots and determine the equation of a line using the slope-intercept method. Students interpret graphs, draw inferences, and sketch a curve of best fit for the graph. Based upon patterns in the graphs, learners...

Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...

Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...

Students state values and analyze them and the values of other students as it relates to the issue of individual privacy. They develop constitutional provisions which address issues relating to privacy with particular reference to item...

This mini-lesson covers the basics of the Supreme Court's decision that determined the government's ability to conduct electronic surveillance of its citizens. Students learn about the First Amendment right to free speech, the Fourth...

Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...

Following the terrorist attack on September 11, 2001, President George W. Bush signed the PATRIOT Act, expanding the power of F.B.I. and its ability to surveil citizens. In this 2005 New York Times article, Eric Lichtblau discusses...

This fun activity guides learners through an exploration of the effects of replacing f(x) with -f(x), f(x) + c, k f(x), and f(x + c). Using graphing calculators, learners experiment with variations of the graph of y = x^2 to design a...

Students use geometry to create art. In this geometric graphing and patterns lesson, students create a helix-a-graph by plotting points on a grid that follow a certain pattern and analyze the drawing they created.