Percent Increase and Decrease Quiz
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Sequences (NOT Arithmetic & Geometric)-10 Practice Pages (80 CLASIFIED Problems)
*The product is designed for PreCalculus through Calculus. These are 10 practice pages/sheets on sequences containing a total of 80 classified problems. Students will find the first n terms of explicitly- defined sequence (page 1, 10 problems)find the first n terms of recursively – defined sequence (page 2, 8 problems)write the explicit rule for the nth term of a given sequence (page 3, 10 problems)determine whether given sequences are monotonic (page 4, 8 problems)prove that given sequence
10th - 12th
Algebra 2, Calculus, PreCalculus
Application of Derivatives -15 Open-Ended Questions (solutions provided)
These are 15 open-ended carefully chosen questions concerning the following: ❄ determining intervals of increasing and decreasing (2nd , 3th and 9th problems) ❄ finding local and absolute extrema (1st , 7th and 12th problems) ❄ finding inflection points (10th and 15th problems) ❄ determining intervals of concavity (9th problem) ❄ finding the slope and the equation of the tangent and the normal lines at a point ( 5th , 8th ,11th , 13th and 14th problems) ❄ computing second and highe
11th - 12th
Calculus
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
Using the Chain Rule with Graphical Information Task Cards
This set of 20 task cards presents students with graphical information about functions f and g. Then students are asked to consider several composite functions 1. f(g(x)) 2. g(f(x)) 3. f(x^2) 4. f(-x^2) 5. f(f(x))
11th - 12th, Higher Education
Calculus, Math
Also included in: Chain Rule Activity Bundle
Derivatives of Logarithmic Functions - 15 Practice Problems
These are 15 practice problems on differentiation of logarithmic functions. The first twelve of the problems are finding the first derivative of common and composite logarithmic functions. The problem 13 is finding the tangent line of a logarithmic function at a given value of x. Problems 14 and 15 are determining if a logarithmic function is increasing or decreasing at three different values of x. I hope the practice sheet gives enough room for your students to show work. The product can be use
11th - 12th
Calculus
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
CALCULUS 1st Semester REVIEW - "Gingerbread" Task Cards Christmas Activity
This fun gingerbread cookies themed activity will help your students review such topics as ❄ first and second derivatives ❄ evaluating limits using L’Hospital’s Rule ❄ finding asymptotes of functions ❄ intervals of increasing and decreasing ❄ critical points and local extrema ❄ intervals of concavity and inflection points ❄ finding the equation of a tangent line ❄ implicit differentiation ❄ logarithmic differentiation The functions included are rational, radical, trigonometric, inverse trig
11th - 12th, Adult Education, Higher Education
Calculus, Math
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
Calculus First Derivative Test Maze
This fun activity for the 1st Derivative Test will engage you Calculus students while studying Analytical Applications of Differentiation. Students use the 1st Derivative Test to determine if the function is increasing, decreasing, or neither at a given point. This activity is designed to be used without Graphing Calculators. There are 16 problems and students must complete 15 of them to correctly complete the maze. An answer key is included.I have also included a student show your work page
11th - 12th
Calculus, Math
Also included in: Calculus Applications of Differentiation Unit Bundle
Error Analysis: Applications of Derivatives - Part 1
One of the best ways for students to learn is by correcting mistakes- theirs or someone else’s. The Error Analysis of Derivative Applications will give students an opportunity to find common mistakes when determining tangent lines, critical numbers, extrema, interval of increasing and decreasing, inflection points, and concavity. Students will identify the mistake and then solve the problem correctly. Each problem is on a separate sheet, so you can mix and match to your students’ needs. The sol
11th - 12th
Calculus, Math
Lesson: The First Derivative Test
Students often find success with the first derivative test once they understand how to apply it. By working through the examples visually and analytically, then applying the anchor chart, students can determine where the relative extrema are located. This lesson can be used as an introduction to the first derivative test, as remediation, or as review. Concepts included in this lesson are:Determining increasing and decreasing intervals. The First Derivative Test.Relative maximum and minimum
11th - 12th
Calculus, Math
Calculus Thanksgiving Review - "Turkey Hunting" Matching Game / Group Activity
Turn your Calculus review into a high-stakes, hilarious "Turkey Hunt"! 🦃🎯 Instead of a dry test, challenge your students to master the laws of derivatives while searching for the 15 "catchable" turkeys—and identifying the 3 lucky happy ones that get to stay in the field! Why this Review "Rocks" the Classroom:Comprehensive Derivative Coverage: This isn't just basic math. It covers:First, Second, and Higher-Order Derivatives.Intervals of Increasing/Decreasing functions.Critical Points & Local E
11th - 12th, Adult Education, Higher Education
Calculus
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
Calculus Test - Applications of Differentiation
This is a 12-question test on Applications of Differentiation that can also be used as homework, review, or self-teaching. * Easel Activity included. Included in this file are: 1. The chapter test with complete, detailed, teaching-oriented solutions. A student could use this to self-teach the concepts. 2. The test with answers only, no solutions. 3. The blank test with room for students' responses. 4. The blank test condensed to two pages, with no room for students' responses. This gives you the
10th - 12th, Higher Education
Calculus, Math, Math Test Prep
Also included in: Calculus Test Bundle - 7 Tests - Limits, Derivatives, Integrals
Unit Circle Quiz, Practice, and Key
File contains three pages: a blank unit circle quiz, a blank unit circle practice page, and a unit circle key. 2/22/2022 - fixed typo on the key 12/29/2023 - added Easel activity Please leave me a comment if you have any suggestions on how to make the Easel assignment better. I was hoping that students would be able to copy and paste the square root and pi symbols to put in the boxes, but I don't know if it actually works to do that.
9th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, PreCalculus
Optimization: Task Cards & Quiz
How do I help my students gain confidence in solving optimization word problems? These task cards offer 8 common types of optimization problems for students to practice. The guide sheet has a nine-step procedure for students to follow when solving these problems. Each task card has a solution card that you and your students may use to aid in discussion of the solutions. Finally, after the students feel confident with these 8 problems they can take the quiz, which mirrors the task cards. What
11th - 12th
Calculus, Math
AP Calculus Quiz: trapezoidal rule and average value
A quiz dealing with the trapezoidal approximation to the definite integral and the MVT for integrals. Emphasis on graphical representation and verbal interpretation. Answer KEY included. Could be used for practice and/or homework.
11th - 12th
Calculus
Writing the Equation of a Tangent Line and a Normal Line (worksheet and lesson)
This worksheet packet will help your students learn to write the equation of the line tangent to a curve by finding the derivative to determine the slope and then applying the point slope formula. Then they will use the negative reciprocal slope to write the equation of the normal line. You can access the accompanying instructional video by clicking here. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion
11th - 12th, Higher Education
Calculus, PreCalculus
Lesson: Concavity, Inflection Points, and the 2nd Derivative Test
How do my students learn the significance of taking the second derivative? This introduction to determining concavity, inflection points, and using the second derivative test is easy to follow and understand. The anchor charts lead the students into determining concavity and locating inflection points. Using the second derivative test, they will also practice determining if critical numbers are relative extrema. Included in this product:· Lesson on the Second Derivative with examples. · Guide
11th - 12th
Calculus, Math
Dot Product of Two Vectors (2D & 3D)- 50 Practice Problems (Full Solutions)
This is an engaging practice on dot product of two vectors in two and three dimensions. It contains 50 well thought out practice problems classified into 4 types of 10 problems and 10 mixed/review problems. Students will work on: ▶ computing the dot product of given vectors in component and ijk forms (10 problems) ▶ finding the angle between two vectors ( 10 problems) ▶ determining the value of a parameter for which two vectors will be orthogonal ( 10 problems) ▶ determining the pro
11th - 12th, Higher Education
Calculus, PreCalculus
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
Other Trig Derivatives - Tanx, Cotx, Secx, and Cscx
Are there derivatives for the other trig functions? Yes, there are, and we can even derive them easily. In this lesson students will learn the derivatives of all the trig functions and practice how to apply them. Concepts in this lesson are:· Derivations of other trig functions using Quotient Rule with sinx and cosx. · Determining derivatives. · Evaluating derivatives. · Comprehensive chart of all derivatives. (Chain rule not yet included.) You can print this no prep lesson and use it as
10th - 12th
Calculus, Math
Also included in: Differentiation: Definition and Fundamental Properties
Limits 3 - Laws of Limits worksheet and lesson
This worksheet packet will help your students learn to use the laws of limits to simplify an expression in order to find the value of a limit algebraically. Click here to SAVE by buying the entire Limits Bundle which includes a FREE review and test.Click here to view the instructional video that accompanies this work packet. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the mate
11th - 12th, Higher Education
Calculus, PreCalculus
Calculus BC Quiz: power series
This 4-page quiz on Power Series includes algebraic, numeric, and graphical representations. Includes answer KEY. Could also be used as a review/enrichment activity.
11th - 12th
Calculus
Introduction to The Mean Value Theorem
Students often feel overwhelmed when learning about theorems. This introductory lesson offers a concise explanation to the conditions and conclusion for the Mean Value Theorem. By following the included anchor chart, students determine when and how to apply the Mean Value Theorem. Concepts included in this lesson are:Slope of a secant line.Slope of a tangent line. Conditions for the Mean Value Theorem.The Mean Value Theorem.Applying the Mean Value Theorem.Determining the value for c. You ca
11th - 12th
Calculus, Math
Calculus Notes: Intro to the Derivative
Introduce the derivative as the LIMIT of a DIFFERENCE QUOTIENT. Students are actively involved in the Graphical, Algebraic, and Numerical analysis of the limit of "rise over run" as the "run" decreases toward zero. Students work through four graphical examples of the derivative at a point.
11th - 12th, Higher Education
Calculus
What is a Derivative?
No Prep. In this mini-lesson, students will explore the difference between average rate of change, a secant line, and instantaneous rate of change, a tangent line or derivative. They will approximate a derivative from tables and graphs. Easy to follow examples help students complete the guided practice. A formative assessment worksheet completes the lesson. (A solution sheet is provided for teacher ease.) Both print and digital editions are available. Use them in your class and/or with o
10th - 12th
Calculus, Math
Also included in: Differentiation: Definition and Fundamental Properties
The Quotient Rule
Are your students overwhelmed with the Quotient Rule? The Quotient Rule is a long formula, but when we compare it to the Product Rule and then practice using it, the Quotient Rule will be much less intimidating . Concepts in this lesson are:· The Quotient Rule. · Comparison of Product Rule and Quotient Rule · Applying the Quotient Rule. (Anchor Chart included.) · Derivation of the Quotient Rule. (Optional) You can print this no prep lesson and use it as an in-class activity or download the
10th - 12th
Calculus, Math
Also included in: Product and Quotient Rules
General Definition of a Derivative
Applying the definition of a derivative is difficult for many students. However, by breaking the lesson into steps, students will generally find success. This lesson begins finding the derivative at a point, and then develops the general definition of a derivative. Concepts in this lesson are:· Definition of a derivative. · Determining derivatives using the definition. · All problems can be completed using the graphic organizer. You can print this no prep lesson and use it as an in-clas
10th - 12th
Calculus, Math
Also included in: Differentiation: Definition and Fundamental Properties
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