Percent Increase and Decrease Quiz
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Programs & methods
Quiz on Mins, Max, Increasing, Decreasing, and s(t), v(t), and a(t)
1 version, answer included, non calculator
Functions used for min, max, increasing, and decreasing are polynomial, trig, square root, and rational
11th - 12th
Calculus
AP Calculus AB: Quiz Derivative Applications in the Math World
Students will be able to justify where a function is increasing and decreasing, concave up and concave down. They will be able to justify a function’s extrema and inflection points. They will be able to apply the Extreme Value Theorem, the First Derivative Test, the Concavity Test, the Second Derivative Test, and the Mean Value Theorem. Students will be able to accurately sketch a curve given its derivative graph and sketch a curve’s derivative given its graph.
12th
Calculus
AP Calculus AB: Curve Sketching and Particle Motion Quiz
Students will be able to accurately sketch a curve given its derivative as well as connect the amount of increase and decrease to an integral. Students will be able to apply integrals to particle motion problems.
12th
Calculus
Derivatives and Motion Problems | Kinematics Calculus Worksheet + Answers
Engage your Year 11 ATAR Mathematics Methods students with this comprehensive Applications of Derivatives to Kinematics worksheet. Designed to build confidence in applying calculus to motion problems, this resource includes a wide range of questions from straightforward calculations to applied problem-solving and mixed challenges. What’s Inside: Part A: Fundamental differentiation practice with displacement, velocity, and acceleration. Part B: Real-world applied kinematics problems (cars, ball
6th - 12th, Adult Education, Higher Education
Calculus, Other (Math), Physics
Expansive Sequences and Series Lesson
This is a thorough lesson on sequences and series. Although it does not include all of the convergence tests. (Those are in the next document.) The document focuses on definitions of various terms, types of series, and there properties. It includes 18 example problems. Topics tackled include sequence notation, series notation (summation notation), writing the terms of a sequence given the definition and vice versa, recursively-defined sequences, bounds, increasing/decreasing/non-increasing/non-d
9th - 12th
Calculus, Math, PreCalculus
Increasing Decreasing Rolle's Theorem
Worksheet involving increasing, decreasing functions, Extrema, Mean Value Theorem and Rolle's TheoremThis work by Betty Watson is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.
Betty Watson
12th, Higher Education
Calculus
Graphing Extrema
Find extrema, increasing, decreasing, concavity, and inflection points. Graphing.
Betty Watson<
a rel="license" href="http://creativecommons.org/licenses/by-nc/3.0/us/">This work by Betty Watson is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.
12th, Higher Education
Calculus
Graph Analysis with the 1st Derivative Practice (Editable)
Problem types: Intervals of increase and decreaseRelative extremaAbsolute extremaDerivative rules needed: Power ruleQuotient ruleChain rule
11th - 12th
Calculus, PreCalculus
Calculus Curve Sketching
Given functions, students are asked to determine intervals of increase and decrease, maximums, minimums, intervals of concavity, and points of inflection.
12th
Calculus
Test for extrema, inc/dec intervals and concavity
Multiple choice test or practice test for finding extrema (maximums and minimums), concavity, and increasing/decreasing intervals.
11th - 12th
Calculus
Derivatives Graph Analysis Using Tables: Notes, Ex, Handout & Assign (Editable)
This resource includes notes, examples, handout and assignment analyzing graphs of functions using tables. Tables include: · Relative Extrema · Inflection Points · Intervals of Increase and Decrease · Intervals of Concave Upward and Concave Downward · Vertical Asymptotes Students will complete tables with: · Information about f(x) · Information about f'(x) · Information about f''(x) · Description of graph
11th - 12th, Higher Education
Calculus
Calculus: Extrema and Inflection - Matching Activity
In this pair / small group activity, students apply what they know about extrema and inflection. Students are given a description of four functions' increasing / decreasing behavior and must determine which descriptions* of each function's first and second derivatives must be true.
* Example descriptions on the "answer cards":
f ’’ (x) is negative on (-2, 7)
f ’ (-2) = 0 and f ’’ (-2) < 0
f has a relative min at x = 7
f ’ (x) changes from neg to pos at x = 7
The file includes instruct
10th - 12th
Calculus, Math
Also included in: Calculus AB Resources (discounted bundle)
Properties of Functions Practice
This worksheet uses piecewise graphs to practice all of the major features and properties of functions, and includes an answer key. Topics covered are: interval notation, domain, range, increasing, decreasing, constant, extrema, continuity, and types of discontinuities.
9th - 12th
Calculus, PreCalculus
Pi Day Trivia Activity: Graph Analysis Using 1st Derivative (editable)
Students will use the 1st derivative to answer 20 graph analysis questions in each section . The correct graph analysis answers will lead to the correct answers to trivia questions related to pi. Sections include: finding critical numbersfinding intervals of increase and/or decreasefinding relative extremafinding absolute extrema
11th - 12th
Calculus
AP Calculus Midterm 2006
This is the exam I gave my Calculus students in 2006. If I had it to do over again, I would add some more integration questions. Overall, the exam went well. It is broken down into two parts, 2 sections each and is meant to model the AP exam. The timing is based on two 55 minute sessions.
Topics include:
differentiation
implicit differentiation
integration
Rates of Change
Concavity
Increasing and Decreasing Functions
Curve Sketching
Vanessa Moon
11th - 12th, Higher Education
Calculus
High School Math Mock Test | Functions, Calculus & Geometry (50 Qs)
Challenge your students with a rigorous, exam-style mathematics practice test!This full-length mock exam includes 50 multiple-choice questions designed to assess core high school math skills, including algebra, functions, calculus, and geometry. It is ideal for review, test preparation, or end-of-unit assessment. 📌 What’s Included: 50 multiple-choice questions Graph-based and analytical problems Coverage of key high school math topics Clean, printable format Real exam-style structure
10th - 12th
Algebra, Calculus, Graphing
Calculus - Derivatives - Power Rule Stations
This is a set of 11 stations for practicing the Power Rule in calculus. It is assumed that students know the properties of derivatives (addition rule, subtraction rule, coefficient rule) but no other differentiation techniques are needed (NO PRODUCT RULE, NO QUOTIENT RULE, NO CHAIN RULE). Variations include rewriting radicals as powers, rewriting with negative exponents, using derivatives to find equations of tangent lines, using tables to evaluate derivatives, as well as application problems i
11th - 12th
Calculus
Limits - Algebraic Techniques Review and Quiz (2 Versions) - Editable
Skills Included: Evaluating limits by factoringEvaluating limits using the conjugateEvaluating limits of complex fractionsEvaluating limits involving infinityReview and Quiz Layout Review: 14 free response questionsQuizzes: 7 free response questions, 2 bonus question
11th - 12th, Higher Education
Calculus, PreCalculus
Quizzes on Derivatives Definition and Average Rates
This is 3 quizzes on derivatives - the quizzes have some of the same questions and/or equations as each other.
1 - Determining the average rate of change, instantaneous rate, and graphing both. Determining the derivative using the definition of derivative and write an equation of the tangent line. Determining derivatives using the power rule and matching functions to the derivatives.
1 - Determining the derivative using a limit and writing an equation of a tangent line. Determining derivatives
11th - 12th, Higher Education
Calculus
Quizzes Functions and Limits
This is 3 quizzes for Calculus.
One quiz is a review of functions from precalculus or algebra II (domain, composition, inverses, and zeros). It is 5 multiple choice questions (A - E as the AP test would look.)
Another quiz is also a review. There are 2 review multiple choice questions (A - E as on an AP test) of domain and solving a quadratic. There is a piecewise function and 4 questions of plugging in values. There is 1 velocity question from a graph. And one writing an equation from a word p
11th - 12th, Higher Education
Calculus
Quizzes on Derivatives Definition and Average Rates
This is 3 quizzes on derivatives - the quizzes have some of the same questions and/or equations as each other.
1 - Determining the average rate of change, instantaneous rate, and graphing both. Determining the derivative using the definition of derivative and write an equation of the tangent line. Determining derivatives using the power rule and matching functions to the derivatives.
1 - Determining the derivative using a limit and writing an equation of a tangent line. Determining derivatives
11th - 12th, Higher Education
Calculus
Product and Quotient Rules Quiz
This is a 6 question quiz designed to access students ability to apply the product and quotient rules to derivatives. It also includes a derivative of one of the 6 trigonometric functions. This quiz contains no chain rule.
11th - 12th, Higher Education
Calculus
AP Calculus AB: Antiderivatives and Area Quiz
Students will be able to use antiderivative (indefinite integral) rules. Students will be able to approximate area under a curve using rectangle (Riemann sum) and trapezoid approximation methods.
12th
Calculus
Exponential Growth and Decay Quiz
This short quiz covers some questions on exponential growth and decay. I use this in my AP Calculus class.
Vanessa Moon
11th - 12th, Adult Education, Higher Education
Calculus
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