Continuous Reflection

"If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries." - Carl Friedrich Gauss

Continuous Reflection
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Tag: functions

Making Sense of Exponential Models

Exponential growth is a topic that deserves especially thoughtful treatment as part of a high school education because a person who has thought deeply about this ubiquitous phenomenon pays attention to and conceptualizes certain critical issues in, for example, science, economics, and social science, in a fundamentally different way than one who Read more…


Quadratic Functions with Desmos Activity Builder

I thoroughly enjoyed using an activity I created using Desmos Activity Builder over the course of the past couple of days with my precalculus students to help them think in new ways about quadratic functions. These are intelligent people who have graphed plenty of parabolas and solved plenty Read more…


Writing Equations for Polynomial and Rational Functions

This worksheet is made up of a collection of graphs of polynomial and rational functions, challenging students to observe key features and come up with an equation for each. solutions


Absolutely Vital Functions

These are the functions that I think precalculus students ought to come to know very very well. Early in the year, I spend five minutes of class having students fill out as much of the first page as they can and then I collect them (but Read more…


Introduction to Functions

A worksheet which gives algebra or precalculus students practice in reading and applying mathematical definitions and thinking about functions presented in various modes Word version


Knowing a Function