Chris Evans Math

This packet has students explore a variety of polar graphs. It is broken up into 6 sections--circles, cardiods, limacons, roses, lemniscates, and logarithmic spirals. Students are presented with a general form for the equation of each type of graph and then asked to plot points in order to sketch a graph of 1 or 2 specific equations. Students are then encouraged to graph several other equations of their type of graph on their graphing calculator in order to make some conjectures about how the pa

This worksheet provides students with information about the number of cell phones owned and life expectancy from a variety of countries. Students then create a scatterplot and a line of best fit. They then use their model to predict other outcomes and are introduced to the topic of correlation vs. causation.

This activity introduces students to the concept of evaluating the slope of a tangent line to a curve. Students are asked to draw in several tangent lines at various points to the graphs of y=x^2 and y=sin(x). They then use their algebra knowledge to approximate the slope of the tangent lines they have drawn, and make conjectures about the slope equation (derivative). I have students complete this before introducing the limit definition of the derivative.

This document contains the classic Pulley and Belt Problems, complete with diagrams for each. These problems are a rigorous application of arc length and right triangle trigonometry for either a Geometry or Trigonometry course.

This activity presents students with information from the board game Power Grid, in which players earn cash based on the number of cities they are able to power. The data follows a logarithmic pattern. Students are then asked to develop a model analytically and using their graphing calculator. They can then compare their results and use them to predict other outcomes.