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!
Whole Unit on Analytical Applications of Derivatives. Powerpoint presentations, notes and worksheets. Some things have answer keys. Unit 5 Analytical Applications of Derivatives5.1 Using the Mean Value Theorem 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3 Determining Intervals on Which a Function is Increasing or Decreasing 5.4 Using the First Derivative Test to Determine Relative (Local) Extrema 5.5 Using the Candidates Test to Determine A
Apply differentiation to gradients, tangents and normals, increasinganddecreasing functions and rates of change (including connected
rates of change);locate stationary points, and use information about stationary points in sketching graphs (the ability to distinguish between maximum points and minimum points is required, but identification of points of inflexion is not included).
The unit includes:
1) The Limit & Differentiation
2) The Derivative and Tangent Line Problem
3) Basic Differenti
Students will be able to justify where a function is increasinganddecreasing, 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.
Students will be able to use th
Students will be able to justify where a function is increasinganddecreasing, 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.
Whole Unit on Analytical Applications of Derivatives. Powerpoint presentations, notes and worksheets. Some things have answer keys. Unit 5 Analytical Applications of Derivatives5.1 Using the Mean Value Theorem 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3 Determining Intervals on Which a Function is Increasing or Decreasing 5.4 Using the First Derivative Test to Determine Relative (Local) Extrema 5.5 Using the Candidates Test to Determine Ab
These PowerPoint notes (81 pages) are for applications of derivatives. The main topics of the notes revolve around increasing/decreasing functions, local minimums and maximums, concavity, points of inflection, kinematics, and optimization.
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.
In this activity students will be creating four different functions in which they will find their derivatives, determine all critical points, extrema, intervals of increaseanddecreaseand intervals of concavity. Students will also be asked to find a graph of the original function. The activity can be downloaded as a Word document or a Google Slide (see alternate listing) and can easily be used as an online activity, or, can be printed, collected and used as a classroom matching game using all
This lesson introduces the First and Second Derivative Tests in the context of polynomials. (The lesson on Curve Sketching uses these tests to examine other types of functions.) The lesson begins with a review of increasinganddecreasing functions as well as critical numbers. Then, the First Derivative Test is introduced, along with an application. After that, concavity and inflection points are introduced. Finally, the Second Derivative Test is shown, along with an example. This lesson is
In this lesson, students gain practice in using calculus to understand the features of a graph. Students learn to identify the domain, intercepts, and symmetry of a function. They also practice using calculus to find asymptotes, intervals of increaseanddecrease, intervals of concavity, local extrema, and points of inflection. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Features of a Function -Rational Function -Tr
This lesson helps students learn how to graph the derivative of a function, given a graph of the function. Students also learn how to interpret the graph of the derivative and they make the connection between the derivative of the position function and the velocity function. Increasinganddecreasing functions are also introduced. Finally, students learn how to estimate derivatives from a table of values and then use those values to create a graph of the derivative. This lesson is appropriate
How do I provide a meaningful activity for my students at the beginning of class while I deal with my classroom responsibilities (roll, helping students who were absent, etc.)? These warms-ups are the answer! The questions are designed to take students five to ten minutes to solve. Then the step-by-step solution is easy for students to follow as they check their work. A PDF containing all the problems is included for students to use. Concepts included:· Extrema on an interval. · The Mean Valu
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’ve 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: · Using a graph to find limits · Using factoring to evaluate limits o Trinomials o Difference of squares · Using conjugates to evaluate l
Derivatives Quiz Game includes all you need to run an exciting Jeopardy Style Math Game and review Derivative Rules at the same time! This Set Includes: 1 PowerPoint Presentation with 51 Question and Answer Slides1 Teacher Answer Sheet 1 Team Name Plate1 Teacher Score CardThe Quiz Game PowerPoint contains 2 Rounds of 5 Categories each containing 5 questions and 1 Final Round with its own unique Category and 1 question. 11 Different Categories Include:Round 1Average Rate of ChangeInstanta
Calculus Related Rates: NO Prep Needed! This lesson contains everything you need to teach related rates. The editable and animated PowerPoint goes through all of the steps and tips involved when solving related rates problems and uses the popular DREDS strategy (Diagram, Label Rates, Write Equation(s), Differentiate, and Substitute). It contains 5 complete examples with step by step solutions, one of which is presented for the students to work out on their own. I put that slide up, give them 5-
How do I provide a meaningful activity for my students at the beginning of class while I deal with my classroom responsibilities (roll, helping students who were absent, etc.)? These warms-ups are the answer! The questions are designed to take students five to ten minutes to solve. Then the step-by-step solution is easy for students to follow as they check their work. A PDF containing all the problems is included for students to use. These formative assessments cover all the AP Standards from
⭐⭐ This Precalculus Honors lesson provides you with a customizable and fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for Finding Limits Graphically. Your students will find one-sided limits and general limits by properties and analytic methods. ⭐⭐ ✅ Lesson 10.2 Finding Limits Graphically is a two-day lesson with an emphasis on the learning objectives: ★ Evaluate limits using substitution ★ Evaluate limits using algebraic methods
⭐⭐ This Precalculus Honors lesson provides you with a customizable and fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for Finding Limits Graphically. Your students will find one-sided limits and general limits by tables, graphically and numerically. ⭐⭐ ✅ Lesson 10.1 Finding Limits Graphically is a two-day lesson with an emphasis on the learning objectives: ★ Find one-sided limits ★ Find general limits ★ Finding limits by tables, gr
⭐⭐ This Precalculus Honors lesson provides you with a customizable and fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for The Derivative and Tangent Lines. Your students will find the derivative at a point by the limit process and use the difference quotient. ⭐⭐ ✅ Lesson 10.4 Tangent Lines and Derivatives is a two-day lesson with an emphasis on the learning objectives: ★ Find slope using the limit process ★ Find the derivative at a
⭐⭐ This Precalculus Honors lesson provides you with a customizable and fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for Limits at Infinity and Continuity. Your students will find asymptotes using limits and apply the rules of continuity. ⭐⭐ ✅ Lesson 10.3 Limits at Infinity and Continuity is a two-day lesson with an emphasis on the learning objectives: ★ Apply the rules of continuity ★ Find vertical asymptotes using limits ★ Find
⭐⭐ This Precalculus Unit 10 Homework Bundle provides you with a customizable and fully-editable resource of homework/practice sets and daily lesson quizzes that cover the topics for Introduction to Calculus. ⭐⭐ The unit covers 5 topics. ✅ Learning Objectives Include: 🔸 Finding Limits Graphically (3-1 pages) 🔸 Finding Limits Analytically (3-1 pages) 🔸 Limits at Infinity and Continuity (5-1 pages) 🔸 The Derivative and Tangent Lines (5-1 pages) 🔸 Derivatives and the Power Rule (3-1 pages
⭐⭐ This AP Calculus BC lesson provides you with a customizable and fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for Taylor and Maclaurin Series.⭐⭐ ✅ Learning Objective:★ Differentiate and integrate a Taylor or Maclaurin series. ★ Find a geometric power series that represents a function. ★ Construct a power series using series operations. ✅ College Board® Topics:⭐ Topic 10.14: Finding Taylor or Maclaurin Series for a Function Less