Basic Function Tables
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Limits from Tables plus Guided Notes for Calculus
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
11th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Limits and Continuity Calculus Unit 1 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
1.2 - Function Notation f(x) (MCR3U Grade 11 Functions / Pre-Calculus)
Ontario Curriculum Expectations:A1.2 - represent linear and quadratic functions using function notation, given their equations, tables of values, or graphs, and substitute into and evaluate functions.
11th
Algebra, Calculus, PreCalculus
Basic Antiderivative/Indefinite Integral (Power Rule and Basic Trig) Assignment
This assignment covers basic antiderivatives/indefinite integrals using the power rule and the six basic trig functions. It also includes a review of motion graphically. There is a note sheet that precedes this assignment found in the Texmathlete TPT store. Videos for the notes can be found on the FREE Calculus Slides and Videos for You and Your Students slides in the Texmathlete TPT store.
9th - 12th, Higher Education
Calculus, PreCalculus
Introduction to Limits Day 1 AP Calculus AB BC
AP Calculus AB or BC worksheet introducing the idea of limits. I use this on the very first day of the Limits Unit. Students learn about limits using tables and graphs, and distinguish limit notation from function notation. This worksheet could also be used in Precalculus at the end of the year.
9th - 12th
Calculus, Graphing, PreCalculus
Area Between Two Curves Investigative Activity | AP Calculus AB & BC
Introducing your AP Calculus AB or BC class to the concept of area between two curves has never been easier with this structured, investigative task! Designed to build understanding progressively, this resource walks students step-by-step through increasingly rigorous applications of definite integrals: Page 1 investigates the area between two basic lines, allowing students to connect geometric reasoning with integral setup. Page 2 moves on to switching the upper curve at a point, requiring s
10th - 12th
Calculus, Math
AP® Calculus AB/BC - Unit 6: Integration and Accumulation of Change
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 6: Integration and Accumulation of Change6.1 Exploring Accumulation of Change 6.2 Riemann Sums and Sigma Notation (Left, Right, Midpoint) 6.3 The Fundamental Theorem of Calculus 6.4 Antiderivatives and Basic Integration Rules 6.5 Finding Antiderivatives (Indefinite Integ
12th, Higher Education
Calculus
Also included in: AP® Calculus AB - Full Course Curriculum
Parametric Equations - Vector Valued Functions with Calculus
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
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC or Calculus 2 Supplement Bundle
Differentiation: Composite, Implicit, Inverse Functions (AP Calculus AB- Unit 3)
Differentiation: Composite, Implicit, and Inverse Functions Calculus Lessons BundleThis is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Differentiation: Composite, Implicit, and Inverse Functions Calculus (Unit 3). This unit contains 5 lessons. Lesson 3.1: The Chain RuleLesson 3.2: Implicit DifferentiationLesson 3.3: Differentiating Inverse FunctionsLesson 3.4: Differentiat
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
AP CALCULUS AB - 8.1 AVERAGE VALUE OF A FUNCTION ON AN INTERVAL
This Calculus worksheet is intended for students after they have learned the following lessons from the AP Calculus AB Course and Description: 6.6 Applying Properties of Definite Integrals 6.7 The Fundamental Theorem of Calculus and Definite Integrals 6.9 Integrating Using Substitution 8.1 Average Value of a Function on an Interval In this worksheet, I have included various examples where students find the average value of a function on a given interval. The problems include a polynomial functio
9th - 12th, Higher Education
Calculus
Representing a Function as Power Series Infinite Series Calculus BC Calculus 2
In this resource on Representing Functions as Power Series from the Calculus Unit: Infinite Series, your students will work through eight pages of guided notes plus practice problems. Included are full typed solutions. The notes include representing functions as Power Series including Geometric SeriesBinomial SeriesDifferentiation and Integration of Power SeriesDeriving Power Series from other power series. Graphical representations illustrating intervals of convergence are also included i
11th - 12th, Higher Education
Calculus, Math
Also included in: Infinite Series Bundle Part 2 for AP Calculus BC and Calculus 2
Derivatives of Trigonometric Functions: Interactive Scavenger Hunt for Calculus
Bring energy and rigor to your derivatives unit with this Around-the-Room Circuit Activity focused on Trigonometric Derivatives for AP Calculus AB and BC! This interactive scavenger hunt requires students to differentiate trig functions using the chain rule, product rule, quotient rule, and combinations of these essential skills. With 12 carefully designed problems, students strengthen procedural fluency while deepening conceptual understanding — all in a collaborative, movement-based format.
10th - 12th
Calculus, Math, Math Test Prep
Also included in: BUNDLE! Complete Derivative Rules Review for Calculus Success
Explore Quadratic Representations
Connect visual blocks, tables, equations, and graphs. The lesson is full of visuals and color and discovery!
6th - 12th, Higher Education
Algebra, Algebra 2, Calculus
Guided Notes-Lesson 13.2, part 2-Integration-Reverse Process of Differentiation
IB Applications & Interpretations SL: Investigation comparing similar functions with differing constants Calculating c when given a coordinate point ordered pair Practice problems (CW or HW)
10th - 12th
Applied Math, Calculus
CCSS
MP1
, MP2
, MP3
+5
Also included in: IB Applications & Interpretation SL: Units 1-13 Complete Course
Guided Notes - Lesson 12.2, part 2 - Equations of Tangents and Normal
IB Applications & Interpretations SL: Finding derivatives of rational functions on a GDC Practice problems (CW or HW)
10th - 12th
Applied Math, Calculus
CCSS
MP1
, MP2
, MP3
+5
Also included in: IB Applications & Interpretation SL: Units 1-13 Complete Course
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
AP CALCULUS AB - 6.10 INTEGRATING USING LONG DIV. & COMPLETING THE SQUARE
This Calculus worksheet is intended for students after they have learned the 6.10 Integrating Functions Using Long Division and Completing the Square lesson from the AP Calculus AB Course and Description. In this worksheet, I have included various examples where students find integrals by first using long division and completing the square in order to rewrite the integrand. The problems then result in integrals involving natural log and inverse tangent. I structured the problems in the two part
9th - 12th, Higher Education
Calculus
Limits at Infinity & Infinite Limits AP Calculus AB BC
AP Calculus Limits Unit Introduce the concepts of infinite limits and limits at infinity through tables and graphs. Connects previously learned concepts of vertical and horizontal asymptotes. I use worksheets when students will need to draw tables or graphs to keep them organized.
9th - 12th
Calculus, Graphing, PreCalculus
Guided Notes-Lesson 13.2, part 1-Integration-Reverse Process of Differentiation
IB Applications & Interpretations SL: Introduce integration: the reverse process of differentiation Investigation calculating area utilizing integration for various functions Introduce antiderivatives Find antiderivatives of various functions Practice problems (CW or HW)
10th - 12th
Applied Math, Calculus
CCSS
MP1
, MP2
, MP3
+5
Also included in: IB Applications & Interpretation SL: Units 1-13 Complete Course
Guided Notes-Lesson 13.2, part 4-Integration-Reverse Process of Differentiation
IB Applications & Interpretations SL: Find equations of a curve given the gradient/derivative and a point Creating a cost function Practice problems (CW or HW)
10th - 12th
Applied Math, Calculus
CCSS
MP1
, MP2
, MP3
+5
Also included in: IB Applications & Interpretation SL: Units 1-13 Complete Course
Continuity Worksheet for AP Calculus AB BC Limits Unit
Introducing the concept of Continuity for AP Calculus during the Limits Unit. The worksheet builds up the concepts of how and where a function could be discontinuous. Does the function value exist? Does the limit exist? Are those values the same?
9th - 12th
Calculus, Graphing, PreCalculus
Continuity at a Point Foldable Notes and Activity
This Calculus Continuity Foldable in a trifold brochure format is designed for your students to learn and practice their understanding and skills with continuity of a function at a point. What's included?In Section 1, the students learn about the rules and conditions for continuity at a point.Section 2 includes examples of discontinuous functions. Students analyze the functions and write the reasons for the discontinuity.In Section 3 students match six graphs with specific conditions. They ca
11th - 12th, Higher Education
Calculus, Math, Math Test Prep
Also included in: Limits and Continuity Calculus Unit 1 Bundle
Guided Notes - Lesson 12.3, part 2 - Maximum and Minimum Points and Optimization
IB Applications & Interpretations SL: Examples of optimization (finding minimum surface area of a product) Investigation optimizing volume with a fixed constraint (surface area) Converting a function with two independent variables into one variable and finding the stationary points Practice problems (CW or HW)
10th - 12th
Applied Math, Calculus
CCSS
MP1
, MP2
, MP3
+5
Also included in: IB Applications & Interpretation SL: Units 1-13 Complete Course
Introduction to the Derivative
This document introduces the single-variable derivative, a central operation in calculus. It includes a visual, from-scratch explanation, mathematical definitions, helpful ways to understand the meaning of the derivative, tables of rules, and examples of its many useful applications.
10th - 12th, Higher Education
Applied Math, Calculus, Math Test Prep
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