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Unit 5 Calculus Analytical Applications of Derivatives Lesson & Worksheets
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
9th - 12th
Calculus
Unit 5 Calculus Analytical Applications of Derivatives
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
9th - 12th
Calculus
AP Calculus AB: Curve Sketching and Particle Motion Notes
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
AP Calculus: The First and Second Derivative Tests Complete Lesson
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 increasing and decreasing 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
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB Full Curriculum
AP Calculus: Curve Sketching Complete Lesson
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 increase and decrease, 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
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB Full Curriculum
AP Calculus: Graphing the Derivative Complete Lesson
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. Increasing and decreasing 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
9th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus: Derivatives Unit Bundle
Warm-ups: Analytical Applications of Derivatives
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
10th - 12th
Calculus, Math
Calculus Related Rates NO Prep Lesson, Worksheet, & Key
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-
10th - 12th, Higher Education
Calculus, Math, Other (Math)
Also included in: Calculus NO-Prep & Digital Activities Bundle
Finding Limits Analytically Lesson Unit 10 Precalculus
⭐⭐ 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
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Precalculus Curriculum Mega Bundle | Flamingo Math
The Derivative and Tangent Lines Lesson Unit 10 Precalculus
⭐⭐ 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
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Precalculus Curriculum Mega Bundle | Flamingo Math
Limits at Infinity and Continuity Lesson Unit 10 Precalculus
⭐⭐ 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
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Precalculus Curriculum Mega Bundle | Flamingo Math
Introduction to Calculus Homework Unit 10 Precalculus
⭐⭐ 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
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Precalculus Curriculum Homework Bundle | Flamingo Math
Taylor and Maclaurin Series (BC Calculus - Unit 10)
⭐⭐ 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
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
The Integral Test and p-Series (BC Calculus - Unit 10)
⭐⭐ 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 The Integral Test and p-Series.⭐⭐ ✅ Learning Objective:★ Understand the definition of both geometric series and p-series ★ Use the Integral Test to determine convergence and divergence of infinite series ★ Use properties of convergence for p-series and harmonic series ★ Test p-series for convergence ✅ College Board®
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
Series and Convergence (BC Calculus - Unit 10)
⭐⭐ 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 Series and Convergence.⭐⭐ ✅ Learning Objective:★ Understand the definition of a convergent infinite series ★ Use properties of infinite geometric series. ★ Use the n-th Term Test for Divergence of an infinite series ✅ College Board® Topics:⭐ Topic 10.1: Defining Convergent and Divergent Infinite Series ⭐ Topic 10.
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
Comparison of Series (BC Calculus - Unit 10)
⭐⭐ 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 Comparison of Series.⭐⭐ ✅ Learning Objective:★ Use the Direct Comparison Test for convergence ★ Use the Limit Comparison Test for convergence ✅ College Board® Topics:⭐ Topic 10.6: Comparison Tests for Convergence ✅ Lesson 10.3 Comparison of Series is a one-day lesson with an emphasis on Mathematical Practice 3 Just
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
Lagrange Error Bound and Accuracy (BC Calculus - Unit 10)
⭐⭐ 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 Lagrange Error Bound and Accuracy.⭐⭐ ✅ Learning Objective:★ Use Taylor polynomials to estimate values of functions ★ Use Taylor’s Inequality to measure the accuracy of approximations. ★ Use alternating series error bound to bound the error of a Taylor approximation of a function. ✅ College Board® Topics:⭐ Topic 10.
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
Area and Arc Length in Polar Coordinates (Unit 9 AP Calculus BC)
⭐⭐ 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 Area and Arc Length in Polar Coordinates.⭐⭐ ✅ Lesson 9.6 Area and Arc Length in Polar Coordinates is a one-day lesson with an emphasis on Mathematical Practice 3 Justification. q Skill 3.D: Apply an appropriate mathematical definition, theorem or test. ✅ What is included in this resource?⭐ Guided Student Notes ⭐ Vid
11th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
Parametric Equations and Arc Length (Unit 9 AP Calculus BC)
⭐⭐ 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 Parametric Equations and Arc Length.⭐⭐ ✅ Lesson 9.2 Parametric Equations and Arc Length is a one-day lesson with an emphasis on Mathematical Practice 1 Implementing Mathematical Processes. q Skill 1.D: Identify an appropriate mathematical rule or procedure based on the relationship between concepts or processes to s
11th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
Polar Coordinates and Graphs (Unit 9 AP Calculus BC)
⭐⭐ 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 Velocity and Acceleration of Vector Functions.⭐⭐ ✅ Lesson 9.5 Velocity and Acceleration of Vector Functions is a one-day lesson with an emphasis on Mathematical Practice 2 Connecting Representations. q Skill 2.D: Identify how mathematical characteristics or properties of functions are related in different representa
11th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
Representing Functions as Power Series (BC Calculus - Unit 10)
⭐⭐ 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 Representing Functions as Power Series.⭐⭐ ✅ Learning Objective:★ Differentiate and integrate a power series ★ Find a geometric power series that represents a function ★ Construct a power series using series operations ✅ College Board® Topics:⭐ Topic 10.15: Representing Functions as Power Series Lesson 10.10 Represen
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
Velocity and Acceleration of Vector Functions (Unit 9 AP Calculus BC)
⭐⭐ 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 Velocity and Acceleration of Vector Functions.⭐⭐ ✅ Lesson 9.4 Velocity and Acceleration of Vector Functions is a one-day lesson with an emphasis on Mathematical Practice 1 Implementing Mathematical Processes. q Skill 1.E: Apply appropriate mathematical rules or procedures, with and without technology. ✅ What is inc
11th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
Taylor Polynomials and Approximations (BC Calculus - Unit 10)
⭐⭐ 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 Polynomials & Approximations.⭐⭐ ✅ Learning Objective:★ Find polynomial approximations of functions and compare them with the elementary functions ★ Find Taylor and Maclaurin polynomial approximations of elementary functions ★ Use the remainder of a Taylor polynomial ✅ College Board® Topics:⭐ Topic 10.11: Find
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
Power Series and Interval of Convergence (BC Calculus - Unit 10)
⭐⭐ 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 Power Series & Interval of Convergence.⭐⭐ ✅ Learning Objective:★ Understand the definition of a power series. ★ Find the radius and interval of convergence of a power series. ★ Determine the endpoint convergence of a power series. ✅ College Board® Topics:⭐ Topic 10.13: Radius and Interval of Convergence of Power Ser
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
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