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Limit of Functions
Chapter: LimitsThis chapter introduces the concept of limits, which form the foundation of calculus. Limits describe how a function behaves as the input approaches a particular value, even if the function is not defined at that value. Understanding limits is essential for studying continuity, derivatives, and integrals. Students will learn to evaluate limits using graphs, tables, algebraic techniques, and analytical reasoning. The chapter covers one-sided limits, limits at infinity, and infin
10th - 12th, Higher Education
Calculus, Math Test Prep, PreCalculus
TI-84 vs Desmos | Graphing Logarithmic Functions, Domain & Asymptotes Algebra 2
TI-84 vs Desmos | Graphing Logarithmic Functions, Domain & Asymptotes (Algebra 2)This resource helps students compare graphing logarithmic functions using a TI-84 calculator and Desmos, building both conceptual understanding and exam-ready skills. students clearly see how domain restrictions and vertical asymptotes appear differently on each tool. Students will: Graph logarithmic functions on a TI-84 Graph the same function using Desmos Compare how each tool shows domain restrictions Id
11th - 12th
Algebra 2, Calculus, Graphing
CCSS
HSF-IF.A.1
, HSF-IF.C.7e
, HSF-IF.C.8
Calculus Integration with Inverse Trig Functions Circuit Training
Challenge your Calculus students' skills solving problems involving Integration with Inverse Trig Functions with this self-checking circuit style worksheet. This practice is designed to build your students' skills and proficiency. Included are 12 problems involving Inverse Trig functions including inverse sine, cosine, tangent, secant, and cotangent. Some problems include trig functions, exponentials and/or basic rules in which Inverse trig functions as components. Students should not need a
11th - 12th, Higher Education
Calculus
Also included in: Calculus 2 Circuit Training Bundle
Limits of Trig Functions for Calculus with optional QR
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
11th - 12th, Higher Education
Calculus, Math
Also included in: Limits and Continuity Calculus Unit 1 Bundle
Hyperbolic Functions and Calculus
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
11th - 12th, Higher Education
Calculus
Integrals Involving Exponential and Logarithmic Functions Notes and Flashcards
These notes cover finding antiderivatives/indefinite integrals of functions that result in exponential or logarithmic expressions (using u-Substitution). It also includes a set of flashcards that has an exponential expression on one side and both the derivative and integral on the other for students to quiz each other (the one answering just sees the function). This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write ever
9th - 12th, Higher Education
Calculus
Also included in: Calculus Part 3 Notes (Derivative and Antiderivative Methods)
Calculus Derivatives Chain Rule Digital Activity plus Cut and Paste Printable
This engaging Digital Interactive Derivatives by the Chain Rule Activity will give Calculus students a fun and interactive way to practicing finding derivatives with the chain rule! Also included is a printable version for your convenience. Two Activities:For the first part of the activity, students find the derivatives of 7 functions using the chain rule, matching the missing parts (the chain) by drag and drop. The second part of the activity contains three more rigorous chain rule problems.
11th - 12th
Calculus, Math
Also included in: Calculus Digital Activity Bundle First Semester with Printables
Tangent Lines to Parametric Vector Valued Functions Calculus
In this Tangent Lines to Parametric Functions (Vector Valued Functions) lesson, students use the formulas for derivatives of parametric equations to find derivatives and also find equations of tangent lines. They will also determine vertical and horizontal points of tangency for parametric curves (Vector Valued Functions). Included in the Activity: 10 Task or Station cards plus one blank for you to personalize if you choose. There are ten questions. For #1 – 8 students find a tangent line
10th - 12th
Calculus, Math
Calculus Worksheet - Derivatives of Trig Functions (Matching)
Need a worksheet to help your Calculus or AP Calculus students practice finding the derivatives of trigonometric functions? This matching worksheet will give students practice finding the first and second derivatives and using the first derivative to find the slope. Trig functions use only the basic derivative rules (product rule, quotient rule and chain rule) so it is wonderful for students who may or may not have learned the derivatives of exponentials, logarithms, etc. An answer key is inc
10th - 12th, Higher Education
Calculus, Math Test Prep
Also included in: Calculus Derivative Worksheet Bundle
Precalculus Exam Reviews/Calculus Prerequisite Reviews
This is a set of three review sheets that are designed to be used at the beginning of Calculus course or as exam reviews for Algebra 2 or Precalculus. They could also be used for SAT or ACT prep, college entrance exam review or for any purpose you wish. Included are reviews for: Exponents, radicals and functionsPolynomial functions and manipulationsThe unit circle and trigonometric functionsThe first two have optional answer banks that you can give students to use as they work out the review p
10th - 12th, Higher Education
Calculus, Math Test Prep, PreCalculus
CCSS
HSA-SSE.B.3a
, HSA-SSE.B.3c
, HSA-APR.A.1
+9
Calculus Derivatives Chain Rule FUN Notes Doodle Pages and Practice
Are you looking for a fun new way for your Calculus students to learn to These Calculus Derivatives Chain Rule FUN Notes will engage and challenge your students while giving them the opportunity to be creative . Use in class, as homework, assessment, or enrichment. This is a fun and engaging format for your students to learn the rules and practice their skills while still being rigorous. Included are 3 pages of notes, examples, formulas, and practice plus fully typed solutions so this is
11th - 12th
Calculus
Also included in: Calculus FUN Notes Bundle
Integration U substitution Activity for Calculus
This Integration of Transcendental Functions with u-Substitution Dominoes matching activity will challenge your Calculus students while giving them a fun outlet to learn along with the ability to self check their work. Included are 11 definite integrals with Transcendental functions including the 6 trig functions, logarithmic, exponential, and inverse trig functions. It is suggested that students not use a graphing calculator. All answers are in exact form and many answers are similar. Stude
11th - 12th, Higher Education
Calculus
Graphs of First & Second Derivatives Identify and Match f, f', f''
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
11th - 12th, Higher Education
Calculus, Graphing
Also included in: Calculus Applications of Differentiation Unit Bundle
Integration with Substitution Connect 4 Partner Activity
With this engaging Integration with Substitution Connect Four Fun Partner Game your Calculus students will practice their integration skills in a fun format. Calculators are not needed. ► This also makes a great 2nd semester back to school activity for Calculus 2 and AP Calculus BC students. The problems include very basic questions along with complicated ones allowing you to work with students of all levels. integrals of polynomialsintegrals which include e^x, ln x, and a^xintegrals of tr
11th - 12th
Calculus
Also included in: Calculus Integration Bundle of Fun Activities
Chain Rule Activity Bundle | Guided Notes, Practice, Exit Tickets & Games
Help your calculus students understand the Chain Rule by thinking in layers! This resource uses a memorable inside-out “pretzel” approach to help students identify the inside function, track each layer of a composite function, and build the derivative one piece at a time. This is especially helpful for students who struggle with composition of functions, forget the inside derivative, or need a stronger foundation before future topics like u-substitution. What’s Included Guided notes Scaffol
11th - 12th, Higher Education
Calculus
Math Exit Tickets Grades 9–12 | DOK Levels 1–3 | PDF + Google Slides | CCSS
Exit tickets for senior Math that match the depth and rigour of high school mathematical thinking. This pack gives you 36 DOK-leveled exit tickets across 12 skills from functions and proof through to calculus, matrices, and vectors. Every ticket has a structured working space and reasoning explanation area. DOK 3 prompts require the kind of extended justification expected at IB DP and AP level. What's Inside36 exit tickets across 12 Math skills3 DOK levels per skill (DOK 1–3)Working box on every
9th - 12th
Algebra, Calculus, Statistics
Limits on Tables Practice Worksheet
Strengthen your students’ understanding of limits with this focused Calculus worksheet on evaluating limits from tables. In this activity, students analyze numerical data presented in table form to determine the limit of a function as xxx approaches a given value. Students must express each answer using proper limit notation, reinforcing both conceptual understanding and mathematical communication. Skills Reinforced: Interpreting function behavior from a table Identifying one-sided and two-si
11th - 12th, Higher Education
Calculus, Math Test Prep, PreCalculus
CCSS
MP6
Circuit AP Calculus AB or BC Volume with known cross sections with SOLUTIONS
This circuit contains 11 problems requiring students to understand and apply the concept of volume by slicing. It even includes a problem that provides the area of a cross sectional slice as a function, requiring students to accumulate that area and not create a function for it. A done out solution key is attached as well. Circuits are designed where students start with the very first cell labeled #1 and solve the problem. Find the cell that has the answer to #1 in the corner and that problem b
9th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Bundle
AP® Calculus AB/BC - Unit 3: Differentiation: Composite, Implicit, and Inverses
This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 3: Differentiation: Composite, Implicit, and Inverse Functions3.1 The Chain Rule 3.2 Applying the Chain Rule with Multiple Rules 3.3 Implicit Differentiation 3.4 Differentiating Inverse Functions 3.5 Derivatives of Inverse Trigonometric Functions 3.6 Derivatives of a^x
12th, Higher Education
Calculus
Also included in: AP® Calculus AB - Full Course Curriculum
Calculus Riemann Sums Digital Matching
This Introduction to Riemann Sum Digital Matching with an additional printable assignment is a perfect way to introduce Riemann Sums to your Calculus students and have them visualize the areas and see how the curves are partitioned. What's in the resource? 10 digital Slides. On each slide students are given the function, the interval, the number of partitions, and the method used to determine the partition. They analyze and determine which of four graphs matches these conditions. The methods of
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus AB Digital Activity Bundle 2nd semester
Derivatives Unit Review Task Cards plus 3 Holiday sets Thanksgiving Christmas NY
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
11th - 12th, Higher Education
Calculus
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
11th - 12th, Higher Education
Calculus
CCSS
MP1
, MP3
Limits from Graphs plus Notes and HW for Calculus
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
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Limits and Continuity Calculus Unit 1 Bundle
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