Locus Focus

This PowerPoint™ presentation of 6 Squeeze Theorem limit examples and practice assignment of 8 homework questions is altogether a 45 min lesson about the Squeeze Theorem (aka Sandwich Theorem) for your calculus students. If on block schedule, I would combine this lesson with the Piecewise lesson. ContentsPowerPoint presentation: The 33 slide presentation has 6 examples for the students to do as well as some explanation slides. Most slides are only meant to be shown for a couple of seconds. As w

Limits – Unit 1 Bundle☼ 10 PowerPoint lessons to use to teach Limits – (see list below) ☼ Each lesson includes a self-grading google form for homework sets (printable version with key included with each one) ☼ Review PowerPoint that covers all 17 categories of problems for Review Day ☼ Self-grading Google Form Pre-Test of 28 questions for students to see how they’d do on the test before they take the actual test (printable version with key included) ☼ Self-grading Google Form TEST of 28 question

This PowerPoint™ presentation of 8 examples and practice assignment of 11 homework questions is altogether a 45 min lesson about limit problems of piecewise functions and absolute value functions (which are really piecewise functions) for your calculus students. If on block schedule, I would combine this lesson with the Squeeze Theorem lesson. ContentsPowerPoint presentation: The 35 slide presentation has examples for the students to do as well as some explanation slides. Most slides are only

This is PowerPoint™ presentation of 45 examples and accompanying worksheet includes a pretest and a test so that you can: Day 0: Give your calculus students the review worksheet BEFORE the review day so they know what to ask on review day. Day 1: Review with you using the PowerPoint and their accompanying worksheet Day 2: Give them the self-grading pretest (maybe count it as a quiz) Day 3: Go over the pretest (most commonly missed questions) with them and maybe also play Kahoot (link included) i

This PowerPoint™ presentation of 8 L’Hôpital examples and homework assignment of 10 practice questions is an introduction to L’Hôpital’s Rule for your calculus students in their first unit of study (the limits unit). The only derivatives that my students know at the time of this presentation is sin(x), cos(x), e^x, and polynomials. It starts with a warm-up of the aforementioned derivatives and a review of indeterminate forms. ContentsPowerPoint presentation: This slide presentation is about 40 s

This is PowerPoint™ presentation of 13 examples and homework assignment of 15 practice questions. The lesson starts with Vertical Asymptotes in which there are 7 examples. Examples are given both graphically and algebraically and where the limit on both sides of the vertical asymptote equal each other. Then in part 2, Horizontal Asymptotes, we talk about end behavior and hit exponential functions, rational functions, and “other” functions that may have two horizontal asymptotes. ContentsPowerP

This PowerPoint™ presentation is a slides lesson including 5 examples of Limit Definition of a Derivative problems that require work and a few more examples that do not (only recognizing what is being asked). The classwork or homework assignment has 17 practice questions for your calculus students focused on recognizing limits that are really asking for derivatives by definition. At the time of this presentation, my students only know the derivatives of sin(x), cos(x), e^x, and polynomials. W

This PowerPoint™ presentation is a slides lesson with 9 examples of factoring, conjugates, or getting common denominators. The homework assignment has 14 practice questions for your calculus students. ContentsPowerPoint™ presentation: This presentation includes 9 examples altogether: 2 that are super quick/basic, 5 that involve factoring and synthetic division, 4 that involve conjugates, and the last example requires getting common denominators. Of course you can delete any slides that do not fi

This PowerPoint™ presentation introduces the Chain Rule and has 9 examples and 14 homework problems that can be given to your calculus students as a worksheet or as a self-grading google form. This presentation begins with a warm-up about compositions then goes into basic chain rule problems followed by ones with 3 links. Chain rule with given values and graphs are next. Students are then led into a proof for the derivative of aˣ using the chain rule. * The hokey language of mother and baby fun

This PowerPoint™ presentation is an introduction to limits via graphs and tables (and one-sided limits) that can easily be converted to a Google Slides presentation. With this lesson, calculus students will: 1.) Be introduced to limits via graphs and tables. 2.) Learn about one-sided limits via graphs and tables 3.) Understand that a limit cannot exist without the left and right being defined and equal to each other. 4.) Examine limits on the edge of a domain ContentsPowerPoint™ presentation:

This PowerPoint™ presentation about derivatives of inverses has 5 examples and 12 homework problems that can be given to your calculus students as a worksheet or as a self-grading google form. The presentation reviews inverse functions, their graphs, and the concept of one-to-one. In the first couple examples, students are shown the reciprocal relationship. In the next examples, students are shown how to do derivatives of inverse problems using a chart that keeps the data organized. In my experi

This PowerPoint™ presentation lesson about the derivative of log functions has 8 quick examples and 3 more complicated examples about the derivative of ln(x) or logₐ(x) as well as 10 homework problems that can be given to your calculus students as a worksheet or as a self-grading google form. The lesson begins the derivative of eᕽ, reviews the proof for the derivative of aᕽ, and then flows into the derivation or proof of the derivative of logarithmic functions. Examples include the derivative of

This PowerPoint™ presentation is an introduction to linear motion when given a position function: the derivatives of position, total distance traveled, when is a particle speeding up or slowing down, and sign charts. The presentation has 6 examples (and some extra you try’s), and the homework (paper or self-grading google form) has 15 well-rounded practice questions. All examples are polynomials except for one in the homework which requires them to know the derivative of sine for velocity, the

This PowerPoint™ presentation about the Power Rule for finding derivatives has 10 examples and 12 homework problems that can be given to your calculus students as a worksheet or as a self-grading google form. Examples #1-4: Differentiating a constant, line, polynomial, general vs. specific derivatives, and Newton vs Leibniz notation. Examples #5-10 Differentiating radicals and rationals with the power rule, writing equations of tangent lines and normal lines, and higher order derivatives. At t

This PowerPoint™ presentation lesson about implicit differentiation has 5 examples (some with You Try’s) and 8 homework problems that can be given to your calculus students as a worksheet or as a self-grading google form. The Warm-Up reviews trig derivatives. The lesson begins with a comparison of implicit vs. explicit equations. The 5 steps to differentiating implicitly are outlined. In one example, we’re finding the derivative at a point, so students are shown that they can plug in the values

Item DescriptionThis PowerPoint™ presentation about the Power and Quotient Rules has 10 examples and 14 homework problems that can be given to your calculus students as a worksheet or as a self-grading google form. This presentation includes proofs for both the Power Rule and Quotient Rule using the limit definition of a derivative. Despite those formalities, the hokey language of keep·change + change·keep and also lo d(hi) minus hi d(lo) all over ho ho is used more than once. 4 of the examples

This PowerPoint™ presentation of 14 examples (most are quick and only 3 require work) and practice assignment of 14 homework questions makes up a complete lesson about continuity and discontinuities for your calculus students. Infinite, Jump, and Removable Discontinuities are the focus. The last three examples require the students to solve for the value of k that makes the function continuous. ContentsPowerPoint presentation: The 45 slide presentation has examples for the students to do as well

This PowerPoint™ has 16 examples (though only the first 12 are actual compositions; the last 4 are limit law problems) and a homework assignment of 10 problems for your calculus students. The focus is limits of composite graphs for students who have already been introduced to basic limits graphically and to one-sided limits. It starts with a warm-up about limits with restricted domains. In part 1, “Limits of Compositions” we have limits of f(g(x)), g(f(x)) or f(f(x)). Then in part 2, “Compositio

This calculus day 2 presentation lesson allows students to build up to an understanding of the derivatives of sine and cosine. It starts by having them guess at easier derivatives so that they develop an intuitive graphical understanding of the concept of a derivative. The focus is all on graphs. I use this lesson on the second day of lecture. Contents For This Product: Guess the DerivativeStudent Notes: Page 3 and 4 is the student lesson worksheet. Please print out pages 3-4 for your student

This PowerPoint™ presentation lesson about the derivative of inverse trig function functions has 5 examples (each with a You-Try) and 10 homework problems that can be given to your calculus students as a worksheet or as a self-grading google form. The lesson begins with the derivation of the derivatives of inverse sine, cosine, and tangent only. Inverse cotangent is used in the lesson, but inverse secant and cosecant are not. Example #1 is a derivative at a point, example #2 uses the limit defin