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In this packet you will find 16 problems that I use to introduce the concept of integration by u-substitution to students.
I have organized these problems into two columns - one that I give as an example and then a similar problem that I have the students try on their own. Then we go on to the nex

My students, being students who are learning English as a second language are afraid of technical vocabulary. So, I created this document to help them. It explains the necessary vocabulary without getting too technical.
I am sure your students will find this vocabulary useful.
If you like this

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This activity will lead students in understanding the concept of limits through discovering it using geometric concept of inscribed polygon in the circle and arithmetic sequence. A nice intro in introducing limits at infinity to the class.Viva math!!!

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This is a slideshow that I give durring the first couple of days to my AP calculus students. It is meant to be a motivating pep talk reagarding the rigor of the course. It outlines classroom and course expectations in a fun, easy way.

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Teaching Calculus without understanding the basic concept would just kill student's drive to study math!Here's a student self discovery activity on investigating Limits at infinity. My approach in this activity is a situation which will drive students to solve the problem, and discover limits at inf

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The graphics are Microsoft Smart Art graphics and can be easily changed to match your school colors or presentation theme.
Here, the unit circle presented as a collection of divisions in radians first by eighths, then by twelfths and then as a division in angles first by 45 degrees, then by 30 deg

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This power point introduces the concept of limits and their notation. It describes in general terms, right and left hand limits as well as infinite limits. The power point needs to be viewed in slideshow form to see all of the answers. The exercise for the students note taking is included.

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This is topic 5 in my AP Calculus curriculum. This PowerPoint guides students through the basic understanding of the Squeeze (Sandwich) Theorem and how to apply this theorem to certain types of limits. You may either have students go through the PowerPoint on their own or you may do it as a whole cl

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This foldable is intended to introduce students to or reinforce their understanding of set-builder and interval notation for sets of numbers, whether they use them as solutions to equations or inequalities or for writing the domain and range of a function. There are examples of each type as well as

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Editable powerpoint for teaching Big Idea 2 (derivatives) for AP Calculus.

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PowerPoint presentation (42 slides) for AP Calculus AB Big Idea 3 (Integrals)

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PowerPoint presentation (43 slides) for AP Calculus AB Big Idea 1 (Limits & Continuity)

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I use this when I introduce functions in pre-calculus, based on a popular social website. I present these as the 12 basic graphs from which we will be launching our study over the year. Some they have already seen in previous classes, which I call their friends. The new ones I ask them to be-frien

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This lesson is intended to provide a general overview of the concepts of differentiation and integration. Knowledge of these concepts is required for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus.
Differentiation is the process of computing (finding) derivatives.

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This is a short lecture introducing students to an alternate approach to using the Fundamental Theorem of Calculus. Ideally, this would specifically address multiple choice questions in the calculator portion of the AP Calculus AB exam; however, the same idea can also be applied to free response qu

A discussion of the secant from a geometric perspective

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I wrote this for students who are afraid of math. Many students are afraid of vocabulary so I created this document to help students learn the vocabulary they need to learn. This gives students some real world examples and an explanation without getting too technical.
This covers all the vocabula

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CHECK OUT MY ALGEBRA INSTRUCTIONAL VIDEOS ON YOUTUBE: http://www.youtube.com/user/nmfrankl
LECTURE TAKING UP THE WHOLE CLASS PERIOD?
CREATE MORE TIME IN CLASS TO WORK WITH STUDENTS!
This is a note-taking guide that I created and use in my AP Calculus courses. I run a "flipped" classroom and

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This power point presentation is about the concepts and theorems involved in finding the concavity, inflection points and relative extrema of functions. It includes examples of problems , their solution and activities for students preparing to take the AP Calculus exam.

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Notes for finding extrema and inflection points

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I start my lesson on related rates with this set of notes.

Students will learn antiderivative (indefinite integral) rules and use them in some basic differential equations, including motion problems. Students will be able to approximate area under a curve using rectangle (Riemann sum) and trapezoid approximation methods.

This lesson on using Riemann sums to find the area under the graph of a function is intended for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus.The procedure outlined in this e-book is a step by step example on how one can approximate the net area between the x-axis

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These notes correspond with my Limit Properties Power Point. Students may follow along as you go through the power point and make their own notes. This hopefully saves time and allows students to focus more on the concept rather than trying to get everything written down.

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