Percent Increase and Decrease Quiz - Page 10
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Programs & methods
Graphs of First & Second Derivatives Identify and Match f, f', f''
In this activity students practice identifying the Graphs of a function and its first and second derivative, f, f ', and f ''. They analyze 3 graphs, one blue, one black, and one red, superimposed on the same coordinate grid, to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative. The activity does not require differentiation, but requires students to understand increasing, decreasing, relative extrema, and concavity. Man
11th - 12th, Higher Education
Calculus, Graphing
Also included in: Calculus Applications of Differentiation Unit Bundle
Calculus Functions Review Maze
This Functions Review Maze for Calculus is a review of the Algebraic topics of functions. Students solve 11 problems on topics from PreCalc that they need to brush up on as they enter Calculus. There are no trig functions included in this resource. Use individually or as a back to school partner activity. Topics include: Odd and Even functionsTransformationsDomain and rangePiecewise Defined FunctionsComposition of Functions Rational RootsIncreasing and DecreasingMaximum and MinimumInvers
11th - 12th
Calculus, Math
Calculus Curve Sketching Introduction Digital Cards
This Intro to Curve Sketching Digital Task Card Activity will introduce your Calculus students to Curve Sketching by applying what they have learned about the first and second derivatives. In this activity, students analyze and identify graphs based upon a table of values for f(x) and f'(x). This makes a great activity for class discussion. I use this activity before doing any of the sections in the unit, before extrema, increasing – decreasing, critical values, absolute and relative maxi
10th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Digital Activity Bundle First Semester with Printables
Modeling the spread of ebola using calculus (original and key)
This project has 4 pages.
page 1 gives data on the cases/deaths due to ebola. Students are asked to model both and find an appropriate function. [table to graph/function]
page 2 asks students to analyze the rate of change of the cases/deaths and find an appropriate derivative function. [approximate rate of change using slope in table, make graph/function]
page 3 asks students to consider an equation for the growth and use derivative analysis (increasing/decreasing concavity extremes) to answer
11th - 12th, Higher Education
Applied Math, Calculus, Other (Math)
Thanksgiving: Calculus First & Second Derivative Tests Pixel Maze Match Bundle
Thanksgiving: Calculus First & Second Derivative Tests 3-in-1 Pixel-Maze-Match Mega Set – the perfect no-prep bundle! Includes self-checking pixel art with mystery picture reveals, differentiated maze challenges (correct path = success), and matching games for instant pair-and-check feedback. Ideal for differentiation, group work, sub days, homework, or spiral review. Students analyze functions, including quadratics, cubics, quartics, rationals, and those with rational exponents, to determine cr
10th - 12th, Higher Education
Calculus
AP Calc AB Summer Prep Work - Version 1
The Sumer Prep Work packet contains review questions for all of the following topics along with a sample test designed to specifically target calculator and non-calculator skills. 1. Operations with Rational Numbers and Radicals 2. Understanding Radical and Rational Exponents 3. Writing the Equation of a Line 4. Solving Systems of Equations 5. Solving General Equations 6. Graphing Parent Functions 7. Transforming Functions 8. Identifying the Domain and Range of Functions 9. Identifying Extrema,
12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
AP Calculus AB Summer Prep Work - Version 2
The Sumer Prep Work packet contains review questions for all of the following topics along with a sample test designed to specifically target calculator and non-calculator skills. 1. Operations with Rational Numbers and Radicals 2. Understanding Radical and Rational Exponents 3. Writing the Equation of a Line 4. Solving Systems of Equations 5. Solving General Equations 6. Graphing Parent Functions 7. Transforming Functions 8. Identifying the Domain and Range of Functions 9. Identifying Extrema,
12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
AP Calculus AB Summer Prep Work - Version 3
The Sumer Prep Work packet contains review questions for all of the following topics along with a sample test designed to specifically target calculator and non-calculator skills. 1. Operations with Rational Numbers and Radicals 2. Understanding Radical and Rational Exponents 3. Writing the Equation of a Line 4. Solving Systems of Equations 5. Solving General Equations 6. Graphing Parent Functions 7. Transforming Functions 8. Identifying the Domain and Range of Functions 9. Identifying Extrema,
11th - 12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
Calculus Curve Sketching Introduction with Derivatives QR Task Cards
This engaging and challenging Calculus Introduction to Curve Sketching activity will have your Calculus students apply what they have learned about the first and second derivatives. This resources is especially helpful for visual learners. In this activity, students analyze and identify graphs based upon a table of values for f(x) and f′(x) and match tables with their respective graphs. I use this activity before doing any of the sections in the unit, before extrema, increasing – decreasing
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Applications of Differentiation Unit Bundle
Calculus Lesson Plans Ch. 3B: More Applications of Derivatives
These are the assignments I give my students for the second half of Ch. 3 in Larson Calculus 10 ed. I divide Ch. 3 on Applications of Differentiation into two units. In this chapter, Ch. 3B, students use derivatives to work optimization problems, work more linear approximations and approximate error using differentials (a great forerunner to the next chapter on integrals). In Ch. 3A Curve Sketching, students learned all the characteristics of graphs such as extrema, increasing/decreasing, and co
11th - 12th
Calculus
Also included in: Calculus Unit Bundle 3B: Optimization and Differential Application
Unit 5 : Analyzing Derivatives - Free Response (FRQ) Stations - AP Calc AB/BC
Help students review all skills from Units 5: Analytical Applications of Differentiation needed to be successful on an AP Calculus AB/BC Free Response (FRQ) type questions. Each station reviews an AP Calculus s section from Unit 3 corresponds to aspects of FRQ question types seen on released practice exams. The units aligned to AP Calculus curriculum specifically included are 5.1 Using the Mean Value Theorem 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3 Determ
10th - 12th
Calculus
Also included in: Unit 1-8 Free Response Review Stations (FRQ) Activity - AP Calc AB
Area Volume Free Response similar to 2009 #4 Form A (1)
When I begin practicing with my students for the AP test, I have my students complete past free response questions. While that is helpful, most free response questions are different from each other so my students never get a chance to "master" one type of problem. I noticed a disconnect. This is why I created problems that are very similar to certain free response questions. Now, my students are able to get many chances with the free response questions, and I have witnessed their progress increa
11th - 12th
Calculus
Area Volume Free Response similar to 2009 #4 Form B (1)
When I begin practicing with my students for the AP test, I have my students complete past free response questions. While that is helpful, most free response questions are different from each other so my students never get a chance to "master" one type of problem. I noticed a disconnect. This is why I created problems that are very similar to certain free response questions. Now, my students are able to get many chances with the free response questions, and I have witnessed their progress increa
11th - 12th
Calculus
Area Volume Free Response similar to 2011 #3 Form A (1)
When I begin practicing with my students for the AP test, I have my students complete past free response questions. While that is helpful, most free response questions are different from each other so my students never get a chance to "master" one type of problem. I noticed a disconnect. This is why I created problems that are very similar to certain free response questions. Now, my students are able to get many chances with the free response questions, and I have witnessed their progress increa
11th - 12th
Calculus
Area Volume Free Response similar to 2013 #5 (1)
When I begin practicing with my students for the AP test, I have my students complete past free response questions. While that is helpful, most free response questions are different from each other so my students never get a chance to "master" one type of problem. I noticed a disconnect. This is why I created problems that are very similar to certain free response questions. Now, my students are able to get many chances with the free response questions, and I have witnessed their progress increa
11th - 12th
Calculus
First and Second Derivative graphs bingo
In this activity, students are given a bingo board with various graphs sketched. They are also given 22 statements such as f ' (a) = 0 and
f "(a) > 0. This means they are looking for a graph on the bingo board that has a zero slope and is concave up. They try to match the 25 graphs with 22 statements which means that there are 3 blank ones too.
This is a good activity to practice the concept of 1st derivative (increasing, decreasing, and 0 slope) as well as 2nd derivative (concave up, con
10th - 12th, Higher Education
Calculus, Graphing, PreCalculus
Calculus Unit Bundle 3B: Optimization and Differential Application
This Bundle contains everything you need to teach Ch. 3B, the unit on Optimization: a flipchart with all the notes for the unit, a flipchart with bellringers to match the unit notes, the lesson plans and assignments, and one summative assessment. (My textbook covers late transcendentals so there are no natural logs, exponential or inverse trig functions in this unit.) I divide the chapter on Applications of Derivatives into two units – Ch. 3A Curve Sketching (including existence theorems, the
11th - 12th
Calculus
Calculus 2 Curriculum Bundle
This Calculus 2 Curriculum Bundle includes 58 classroom tested resources which will enhance your lessons and engage your students. My experience has shown that Calculus students succeed with varied lessons and activities and need a curriculum where each day is a new learning experience geared for all types of learners. The resources in this bundle will help you engage all of your students with rigorous and fun activities. Activity-based learning facilitates better understanding and you ca
10th - 12th, Higher Education
Calculus
Christmas: Calculus First & Second Derivative Tests Pixel Maze Match Bundle
Christmas: Calculus First & Second Derivative Tests 3-in-1 Pixel-Maze-Match Mega Set – the perfect no-prep bundle! Includes self-checking pixel art with mystery picture reveals, differentiated maze challenges (correct path = success), and matching games for instant pair-and-check feedback. Ideal for differentiation, group work, sub days, homework, or spiral review. Through analyzing functions such as quadratics, cubics, quartics, rationals, and equations with rational exponents, students will co
10th - 12th, Higher Education
Calculus
AP Calculus Applications of Derivatives Multiple Choice Practice – AB/BC
AP Calculus Applications of Derivatives Multiple Choice Practice – 25+ AP-style questions covering related rates, optimization, straight-line motion, curve analysis, and the Mean Value Theorem. Aligned to AP College Board CED Units 4-5. Helps students master real-world applications of differentiation and build exam readiness without unnecessary trick questions.What's Included:Original AP-style multiple choice questions covering:Straight-line motion (position, velocity, acceleration)Interpreting
9th - 12th, Higher Education
Calculus, Math Test Prep, Other (Math)
Calculus Integration - Approximation Techniques for Definite Integrals
This is an introductory lesson to help students learn approximation techiniques for definite integrals. Left, Right, and Midpoint Riemann sums are included, as well as the Trapezoidal rule. Students are initially given functional values in chart form, then later provided three functions to evaluate in completing charts prior to approximating integrals. Students will also use the Fundamental Theorem of Calculus to evaluate integral in order to compare exact values to approximated values and dr
10th - 12th, Higher Education
Calculus, Math Test Prep
Calculus AB Differential Units MCQ Bundle: 258 Questions w/ Detailed Solutions
This bundle combines 258 exam-style multiple-choice questions (MCQs) covering all differential calculus units (Units 1–5) for students in a Calculus AB class or similar introductory calculus course. Topics include: Limit definition and propertiesEvaluating limits algebraically and from graphs and tablesThe squeeze theoremDefinitions of continuity and differentiabilityLimit definitions of a derivativeThe power, product, quotient, and chain rulesImplicit differentiation and behavior of implicit re
10th - 12th
Calculus
Calculus AB Differential Units FRQ Bundle: 21 Questions w/ Detailed Solutions
This bundle includes all 21 exam-style free-response questions (FRQs) covering all differential calculus units (Units 1–5) for students in an AP Calculus AB class or similar introductory calculus course. Topics include: Limit definition and propertiesEvaluating limits algebraically and from graphs and tablesThe squeeze theoremDefinitions of continuity and differentiabilityLimit definitions of a derivativeThe power, product, quotient, and chain rulesImplicit differentiation and behavior of implic
10th - 12th
Calculus
Curve Sketching with Calculus | Master Graphing with Derivatives & Sign Charts
Help your students translate algebra into visual geometry!Curve Sketching requires students to synthesize the First and Second Derivative Tests, proving they understand the difference between a function's direction and its concavity. This turnkey curriculum module doesn't just stick to equations—it actively challenges students to read graphs of $f'(x)$ and $f''(x)$ directly, a heavily tested concept on the AP Exam. Perfect for AP Calculus exam prep or comprehensive sub plans.What’s Included:The
9th - 12th
Calculus
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