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Inquiry-Based Lessons in Pre-Calculus:

Foundations to Calculus

This collection of inquiry-based lessons in recursion is a work in progress.  They aimed to provide a resource for mathematics teachers interested on the use of graphing calculators, dynamic geometry software (DGS) and the inquiry-based (IB) approach in their classrooms. To the best of our knowledge, the lessons are original work; materials used from other sources are cited within the lessons. 

Lessons are catagorized for use with various technology, particularly the TI-NSpire and the TI-83 and TI-84 graphing calculator from Texas Instruments.

 The lessons are been developed under the guidance of Dr. Antonio R. Quesada by students of the course “Math Technology and Communication” and by participant teachers in the summer workshops “Selected Topics in Secondary Mathematics for HS Teachers Grades 8-12, Parts I and II, offered at The University of Akron.

 An link to lesson contributors is at the bottom of this page. This page admittedly requires updating.  If you contributed to a listed lesson and wish to be included in this page, please email Dr. Antonio Quesada at .

 Users of these lessons are encouraged to submit corrections and/or suggestions on how to improve them.  Readers are encouraged to submit additional lessons on missing topics using the same format.  An editorial committee will review any lesson submitted prior to being accepted or rejected.  Once a lesson is accepted the author(s) will be acknowledged in the index.

 The following institutions have provided initial support for the development of lessons or for the workshops: the Ohio Department of Education Mathematics Initiative Grant, The University of Akron Graduate School Tuition Scholarships and TI price reduction equipment grants, The Ohio Department of Education, the Board of Regents Title II Program, The Knight Foundation (with the Summit Education Initiative as a fiscal agent), and The University of Akron.


High School Level


Modeling Max and Min (Word Document)

Modeling Max and Min (.tns file)

Introduction to Tangent Lines using TI-Nspire CAS

Introduction to Tangent Lines using TI-Nspire (non-CAS)

Applying Trigonometric Functions to Everyday Life Situations (Nspire)

Secant Parabola (.tns file)
Linear Programming Inequalities
Compound Interest and e (.tns file)
Global Behavior (.tns file)
End Behavior of Polynomials (.tns file)
End Behavior of Powers of x (.tns file)
Local Behavior (.tns file)
Local Behavior of Polynomials (.tns file)
Polynomial Graph near a Zero (.tns file)
Graphs of Polynomials Activity 1 (.tns file)
Graphs of Polynomials Activity 2 (.tns file)
Polynomial Shape According to Degree (.tns file)
Relative Growth Application (.tns file)

Transformations (The Parent Trap)

Transformations (The Parent Trap) Lesson Plan

Base e (.tns file)
Limits with Recursion (.tns file)

Piecewise Limits Function (Word doc)

Piecewise Limits Function (.tns file)

Linear Piecewise Functions

Epsilon-delta Limits I (.tns file)

Epsilon-delta Limits I (Word Doc)

Epsilon-delta Limits II (.tns file)
Intervals (Inequalities) (.tns file)
Limits as Local Behavior
Sequences to Infinity (.tns file)
Interest Limits (.tns file, includes solutions)
Limit behavior sin (Π div nx) (.tns file)
The Apple Orchard
The Box Problem
The Paper Problem
The Rectangle Problem
The River Problem
The Rod Problem
The Two Towers Problem (.tns file)
The Window Problem

Middle School Level


High School and Middle School Level


Other Pre-Calculus IB Lessons (specific technology indicated when used)

High School Level

The Monte Carlo Method for Estimating the Area Under the Curve

Global Behavior/Jump Discontinuities (TI 84 notes)

Local Behavior Rational Functions

Scale Change

Another Look at Translations


Analyzing the Relationship between a Logarithmic Function and Its Inverse


High School and Middle School Level


Middle School Level

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This site was last updated 06/12/09