math through discovery

Tuesday, July 30, 2019


Jet Tour of Calculus - Five Days of Lessons - Bundled




This is a Jet Tour of the 5 main topics students will learn about in AP Calculus or Calculus:
1. Instantaneous Rate of Change
2. Behavior of a Function
3. Definite Integrals
4. Using Formulas to find Definite Integrals
5. Limits
Each lesson is designed to use the graphing calculator to building understanding for the five topics graphically, numerically, analytically, and verbally. Each lesson is designed to be completed in one regular class period of 40-50 minutes.
A two question assignment is also included.
Answers to all activities are included.
This is a great way to begin a study of calculus.

Monday, July 29, 2019




https://www.teacherspayteachers.com/Product/Understanding-The-Derivative-Graphically-Using-Difference-Quotients-863615

Students can used their graphing calculators to build an understanding for the formal definition of a derivative (limit as h approaches zero of (f(x+h)-f(x))/h). Students will set up the forward difference quotient, the backward difference quotient, and the symmetric difference quotient approaching the same limit. Then students will let h equal 1, 0.1, 0.01, and 0.001) to notice that all the difference quotients approach one function.
The function they are all approaching will be called the derivative of the original function.
This is a great activity to use with the students prior to working analytically with the students to find the derivative of many basic functions. It gives the students a visual picture of what is happening to the difference quotients as h approaches zero. 
Students can use this activity to develop all the basic derivative rules that they will need to memorize in Calculus.


This activity sheet, containing 20 questions, has the 
students working with the sum of the angles in a polygon, sum of the exterior angles in a polygon, and the measure of a single angle in a regular polygon.
The students will
  • develop the rule for the sum of the angles in a polygon;
  • find the number of sides given the total degree measure of the interior angles;
  • explain why a polygon cannot have a certain total number of 
    degrees;
  • solve for a missing angle in a polygon;
  • find the measure of one angle in a regular polygon; and
  • solve for interior and/or exterior angles 
    on a polygon.
Answers are included for all exercises.

Sunday, July 28, 2019



These 32 Activity Sheets cover most of the topics you will teach in AB Calculus.  Each activity sheet has approximately 15 conceptually based questions with answers. 

You can use each activity sheet as the foundation for one of your lessons.

The 32 activity sheet include these smaller bundles. Each activity sheet and each bundle can be purchased separately.
Each of these activity sheets can be bought separately in my store by clicking on each individual title.
There are also smaller bundles of activities named A Bundle of Activity Sheets for Calculus - 1, 2, 3, and 4.