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Preview of Parametric Equations - Vector Valued Functions with Calculus

Parametric Equations - Vector Valued Functions with Calculus

Created by
Joan Kessler
These activities and resources for Calculus and Parametric Functions and Vector valued Functions are designed for AP Calculus BC and College Calculus 2. This topic is included in the Calculus 2 Unit, Polar and Parametric Functions and is also be part of the Unit 9 Parametric Equations, Polar Coordinates, and Vector-Valued in AP Calculus BC. Topics includeSlope of Parametric Equations and Vector Valued FunctionDetermining a Tangent lint to a parametric equationsEnclosed Area of Functions define
Preview of Limits from Graphs plus Notes and HW for Calculus

Limits from Graphs plus Notes and HW for Calculus

Created by
Joan Kessler
This Finding Limits Graphically lesson is designed to give your Calculus students an understanding and fluency of the visual side of limits and will challenge even your best students. What's Included? Guided student notes with four examples. There are two versions, one completed and one left for the students to complete with you in class.24 Task Cards with mostly piecewise continuous functions. Students determine the limits, if they exist, from analyzing the graph. My students found the
Preview of Limits from Tables plus Guided Notes for Calculus

Limits from Tables plus Guided Notes for Calculus

Created by
Joan Kessler
This Evaluating Limits from Tables with Guided Notes resource is designed to help your Calculus students understand and master the concepts in this section and promote fluency. What's Included?11 Task cards which include polynomial, rational, irrational, and trig functions. Students use a table to determine if a limit exists and to evaluate it, if it exists. There are also problems which students are given a table and asked to estimate the limit. Blank Task card for you to personalizeGuided
Preview of One Sided Limits Calculus Guided Notes Task Cards and HW

One Sided Limits Calculus Guided Notes Task Cards and HW

Created by
Joan Kessler
Your Calculus students will get lots of practice with One Sided Limits with this Task Card Activity with Guided Notes and HW. Students love working in small groups and this will foster many questions and discussions. There are 16 Task Cards which include: finding one-sided limits limit from graphsfinding one-sided limits of piecewise defined functionsfinding one-sided limits of rational functionsfinding one-sided limits of radical functions requiring rationalization of the numeratorconcept
Preview of Addition Task Cards | Montessori Addition Command Math Task Cards [Color-Coded]

Addition Task Cards | Montessori Addition Command Math Task Cards [Color-Coded]

Static and dynamic addition task cards for independent work in math. This material includes:30 Addition task cards15 (Static)15 (Dynamic)All this cards are color-coded according to the Montessori math hierarchical colors (unit-green, tens-blue, hundreds-red, thousands-green).
Preview of Infinite Series The Integral Test AP Calculus BC  Calculus 2

Infinite Series The Integral Test AP Calculus BC Calculus 2

Created by
Joan Kessler
Give your students the practice they need for proficiency with this Integral Test for Series Gonvergence Guided Notes and Practice and is designed for the Unit on Infinite Series for AP Calculus BC and College Calculus 2. Included are: Guided notes with completed examplesProblem Set with 8 rigorous problems. Students use the Integral Test to determine Convergence or Divergence.Matching Task Cards should you prefer that to a handout. Typed Full solutions showing all steps___________________
Preview of Calculus BC  Alternating Series Test for Convergence

Calculus BC Alternating Series Test for Convergence

Created by
Joan Kessler
This lesson on Alternating Series Test for Convergence is designed for AP Calculus BC or College Calculus 2. It is part of the unit on Infinite Series, specifically Tests for Convergence. Included: Guided Notes with examples. The notes include the Alternating Series Test, Conditional Convergence, and the Remainder Theorem for Alternating series.12 Task cards. For #1 - 4 students will use the Alternating Series test for convergence. Cards #5 – 10 also ask the students to determine whether the
Preview of Comparison Tests for Infinite Series Calculus BC

Comparison Tests for Infinite Series Calculus BC

Created by
Joan Kessler
This Calculus resource for the Comparison tests for Infinite Series including the P-test, Limit Comparison test, and the Direct Comparison test is designed for the Unit on Infinite Series for AP Calculus BC and College Calculus 2. Included are: Guided notes with completed examples on p-series Test, Direct Comparison Test, and the Limit Comparison TestProblem Set with 10 rigorous problems for which students use the Comparison Tests to determine Convergence or Divergence.Matching Task Cards shou
Preview of Calculus Derivatives  Critical Values Extrema  Task Cards and Worksheet

Calculus Derivatives Critical Values Extrema Task Cards and Worksheet

Created by
Joan Kessler
This Calculus activity on Critical Values, Absolute Extrema, and Relative Extrema is designed for Calculus 1 or AP Calculus and is part of the unit, Applications of the Derivative. Students find critical values, and then apply them to find extreme values. This engaging activity is excellent practice and enrichment to reinforce a lesson before the first derivative test. Included: 20 Task Cards in both color and black and white for easy printing. They are numerically coded.#1 – 7 Determine
Preview of Calculus Integration of Rational Functions by Long Division

Calculus Integration of Rational Functions by Long Division

Created by
Joan Kessler
Your Calculus students will work together to practice Integrating Rational Functions Using Long Division with this set of 12 Challenging Task Cards. Long division is an often a method to break down rational functions. In these problems the remainders can be integrated with basic rules. This activity will reinforce your students skills and give them practice and confidence while they continue to learn more techniques of Integration. This activity can also be used as precursor to Integration
Preview of AP Calculus BC  and Calculus 2 Readiness Review

AP Calculus BC and Calculus 2 Readiness Review

Created by
Joan Kessler
This Readiness Review of PreCalculus and Trig topicsis must-have for student success! This resource is designed to prep your students for the rigors of AP Calculus BC (part 2) or College Calculus 2. My experience has shown me that even after Calculus 1, or AP Calculus AB, my students, even top students, were not prepared for the rigors of the algebraic and trig skills needed in Calculus 2. With a tight calendar, I don’t have a lot of time for review, and need to jump right in to new mater
Preview of Graphs of First & Second Derivatives Identify and Match f, f', f''

Graphs of First & Second Derivatives Identify and Match f, f', f''

Created by
Joan Kessler
In this activity students practice identifying the Graphs of a function and its first and second derivative, f, f ', and f ''. They analyze 3 graphs, one blue, one black, and one red, superimposed on the same coordinate grid, to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative. The activity does not require differentiation, but requires students to understand increasing, decreasing, relative extrema, and concavity. Man
Preview of Calculus BC Techniques of Integration Unit Review Activities w Full Solutions

Calculus BC Techniques of Integration Unit Review Activities w Full Solutions

Created by
Joan Kessler
This End of Unit Review is designed for the unit on Techniques of Integration found in AP Calculus BC and Calculus 2. The problems on the Task Cards and worksheet formatted reviews include integrations techniques such as: U–substitutionTrigonometric IntegralsIntegrations by PartsTrig Sub Partial FractionsIntegration by TablesL’Hopital’s RuleImproper Integrals and their convergence.Included2 sets of 12 Task Cards, one in color and the other in easy print black and whiteFull Typed Solutions
Preview of Calculus 1st First Derivative Test Digital Maze

Calculus 1st First Derivative Test Digital Maze

Created by
Joan Kessler
Your Calculus students use the 1st Derivative Test in this fun digital Zombie themed activity to determine if the given function is increasing, decreasing, or neither at a given point. This activity is designed to be used without Graphing calculators. Each answer leads them to the next question. There are 16 problems and students must complete 15 of them to correctly complete the maze. Derivatives include the product rule, quotient rule, chain rule, sine, cosine, inverse sine, logarithmic,
Preview of Calculus Back to School Ice Breaker - Fun Activity Freebie

Calculus Back to School Ice Breaker - Fun Activity Freebie

Created by
Joan Kessler
This Calculus Back to School Engaging Ice Breaker is designed as a first week or even first day warm up. So many Calculus students get very nervous about remembering all they learned from last year and start the school year stressing. Break the Ice with this small group Task Card activity. Your students will realize they remember way more than they think and have fun doing it. It is not meant to be difficult, but it gets them back in school mode and math mode along with renewing friendsh
Preview of Finding Limits From Piecewise Graphs Calculus Practice

Finding Limits From Piecewise Graphs Calculus Practice

Finding limits from graphs task card activity can be used in your classroom in many different ways. Students could work on these 24 questions individually or collaborate together to solve the problems; either way they will be reinforcing the skill of how to find limits from a graph. Understanding how to find limits graphically of piecewise functions is a key skill to build at the beginning of a calculus course as students will be using graphs throughout the rest of the year. This task card
Preview of Calculus Continuity of Piecewise Functions and Functions with Holes

Calculus Continuity of Piecewise Functions and Functions with Holes

Created by
Joan Kessler
In this Calculus Continuity of Piecewise Functions activity your students determine the values of x which make a discontinuous piecewise function or functions with holes continuous everywhere as they explore points of discontinuity. This activity is designed to build your students' skills and proficiency with analyzing continuous functions, What's included? 16 Task or Station Cards which explore the topic of finding a value which makes a discontinuous function continuous. My students ha
Preview of Hyperbolic Functions and Calculus

Hyperbolic Functions and Calculus

Created by
Joan Kessler
Hyperbolic Functions are part of the Calculus Curriculum at colleges and universities. Though not necessarily on the AP Calculus exams, the topic is necessary for transition for those students who have earned college credit through the AP program and are continuing their education and pursuing a STEM career. This is a great topic for after the AP Calculus exams. Included:20 Task cards # 1 - 9 Students determine the derivatives of hyperbolic functions and hyperbolic inverse functions using the c
Preview of Integration by u-Substitution 60 Digital Task Cards  plus Print  version

Integration by u-Substitution 60 Digital Task Cards plus Print version

Created by
Joan Kessler
This Digital Version of Integration by Substitution Task Cards Activity for Calculus really works to reinforce the techniques your students have learned. These problems not only review this unit, but help students comprehend while engaging them in active learning. With one problem shown at time, your students are not overwhelmed. A free response PDF printable version in worksheet format is included. All of the problems are solved by using the substitution method. In the digital version eac
Preview of L'Hopitals Rule Task Card Practice

L'Hopitals Rule Task Card Practice

L’Hopitals Rule task card activity gives students practice using L’Hopital’s rule (also known as L'Hospital's Rule) to solve limits of the form 0/0 or infinity/infinity. This activity comes in mulitple layout options. My favorite layout asks students to justify and explain WHY the conditions for L’Hopital’s Rule are meant before applying it. Not all these task cards can be solved using L’Hopitals Rule so students are also getting practice determining when L’Hopital’s Rule can and cannot be ap
Preview of Derivatives Scavenger Hunt Bundle

Derivatives Scavenger Hunt Bundle

Overview:Set of four interactive scavenger hunt activities designed to reinforce students' understanding of derivative rules through engaging, movement-based practice. Each scavenger hunt targets a specific differentiation rule— product rule, quotient rule, or chain rule. Problems include a variety of algebraic, trigonometric, rational, and transcendental functions, helping students apply rules in diverse contexts. Promotes movement, engagement, and self-checking through a clue-based format th
Preview of Limits of Trig Functions for Calculus with optional QR

Limits of Trig Functions for Calculus with optional QR

Created by
Joan Kessler
Your Calculus students find the limits of 16 trigonometric functions, some of which use basic identities, and others use the “special Limits", sin x /x, 1 - cos x / x, and variations of them. Use as Task Cards, Station cards, or as a worksheet. A second self-checking set with QR included. This practice will build your students' skills and proficiency on this topic. What's Included?Two sets of 16 Task cards, one with QR and one without. Students do not need to be on the internet to get the an
Preview of Derivatives Unit Review Task Cards plus 3 Holiday sets Thanksgiving Christmas NY

Derivatives Unit Review Task Cards plus 3 Holiday sets Thanksgiving Christmas NY

Created by
Joan Kessler
This Calculus Derivative and Differentiation Review with Fun Multi Holiday Themes is designed for every Calculus class. It reviews the AP Units 2 - 3 Derivatives and Differentiation, or College Calculus Unit 2 and includes problems on the following topics: Slope and Tangent Line Basic Rules of Differentiation including the Chain Rule Product Rule and Quotient Rule Derivatives of Trig Functions, Logarithmic Functions, and the Inverse Trig FunctionsImplicit DifferentiationLogarithmic Differenti
Preview of Calculus Limits End of Unit 25 Task Cards plus 4 Assessments or Practice

Calculus Limits End of Unit 25 Task Cards plus 4 Assessments or Practice

Created by
Joan Kessler
This Calculus End of Unit resource for Limits includes both a review in the form of Task cards, a worksheet, plus two additional versions which can be used as an assessment, HW, or enrichment. Self checking QR's will also practice will build your students' skills and proficiency with limits. What's Included? 25 Task Cards including one blank card for you to customize. Problems include determining Limits by substitution, graphical methods, factoring, conjugate, and special rules. This resou
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