Students will be able to justify where a function is increasinganddecreasing, concave up and concave down. They will be able to justify a function鈥檚 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鈥檚 derivative given its graph.
Quizzes, Review, and Tests for optimization, 1st derivative test, 2nd derivative test, increasinganddecreasing intervals, extrema, critical points, concavity, points of inflection, and the mean value theorem -- Over 30 pages!
Students will be able to accurately sketch a curve given its derivative as well as connect the amount of increaseanddecrease to an integral. Students will be able to apply integrals to particle motion problems.
Analytical Applications of Differentiation Calculus Unit Bundle:This 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 Analytical Applications of Differentiation (Unit 4). This unit contains 6 lessons. Lesson 4.1: Using the Mean Value TheoremLesson 4.2: Extrema on an IntervalLesson 4.3: IncreasingandDecreasing Intervals and The First Derivative TestLesson 4.4: Concavity and
Find extrema, increasing, decreasing, concavity, and inflection points. Graphing.
Betty Watson<
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Students will be able to justify where a function is increasinganddecreasing, concave up and concave down. They will be able to justify a function鈥檚 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鈥檚 derivative given its graph.
Students will be able to use th
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 increaseand/or decreasefinding relative extremafinding absolute extrema
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. 馃搶 What鈥檚 Included: 50 multiple-choice questions Graph-based and analytical problems Coverage of key high school math topics Clean, printable format Real exam-style structure
Nearly 400 Practice AP Calculus AB Multiple Choice Questions and Full Answer Explanations! Microsoft Word file is editable. Perfect for Unit Tests, Quizzes, and review activities. Developed by experienced AP Calc teachers. Test bank is organized into the following topics and units: Limits of Functions Asymptotic and Unbounded Behavior Continuity as a Property of Functions Concept of the Derivative Derivative at a Point Derivative as a Function Second Derivatives Applications of Derivatives
Includes 2 Quizzesand a Test Covering 路 The Power Rule 路 The Product Rule 路 The Quotient Rule 路 The Chain Rule 路 Trigonometric Derivatives 路 Derivatives of Exponentials 路 Derivatives of Logarithms 路 Logarithmic Differentiation 路 Implicit Differentiation 路 L鈥橦opital鈥檚 Rule 路 Graph Analysis Using the 1st Derivative 路 Graph Analysis Using the 2nd Derivative 路 Interpreting Derivative Sign Charts 路 Rolle鈥檚 Theorem 路 The Mean Value Theorem 路 Motion 路 Optimization Related 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
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
This resource contains a Microsoft Word editable quiz review for a mid-unit limits quiz as well as two versions of the quiz. The review andquizzes are mirrored and have accompanying answer keys. I鈥檝e labeled the answer keys for the quizzes Form A and Form B. The student quiz is not labeled. I find this works best for my classes. Limit problem types include: 路 Using a graph to find limits 路 Using factoring to evaluate limits o Trinomials o Difference of squares 路 Using conjugates to evaluate l
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
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.
Students will learn the formal limit definition of the derivative and use it to evaluate derivatives. Students will be introduced to the notation of left and right hand derivatives as well as evaluating them. Students will be able to justify whether a function is differentiable.
Students will learn implicit differentiation and be able to apply it to a variety of different derivative problems. Students will learn the trig inverse derivative rules, the exponential derivative rules and the logarithmic derivative rules. Students will also learn L'Hopital's rule.
Students will derive and apply the average value formula. Students will be able to apply the Fundamental Theorem of Calculus(antiderivative part) to a variety of calculus problems including AP free response questions. Students will learn the skill of taking integrals using u-subs.