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Preview of Calculus - How are the Graphs of f, f ', and f " interrelated?

Calculus - How are the Graphs of f, f ', and f " interrelated?

Using the graphing calculator, students learn how the graphs of the first and second derivatives describe the behavior of the original function. The activity is composed of four parts. Students make observations based upon a series of questions about increasing, decreasing, extrema, and concavity
Preview of St. Patrick's Day: First & Second Derivative Tests Maze Activity

St. Patrick's Day: First & Second Derivative Tests Maze Activity

Created by
Qwizy
St. Patrick's Day: Calculus First & Second Derivative Tests Maze Activity SetsStudents will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique St. Patrick's Day Mazes5 different versions: Each with 15 unique questions & 5 different maze pathsPrintable option
Preview of 12th Grade Calculus - Unit 3: Applications of Derivatives

12th Grade Calculus - Unit 3: Applications of Derivatives

12th Grade Calculus USA High School Calculus This resource includes:-12 Presentations -12 Worksheets with Solutions -1 Reference Sheet -1 Unit Test with Solutions Unit 3 – Applications of Derivatives3.1 Using the derivative to find slope of tangent and equation of tangent/normal lines 3.2 Critical points; local maxima and minima; first derivative sign charts 3.3 Increasing/decreasing intervals; First Derivative Test 3.4 Concavity and points of inflection; Second Derivative Test 3.5 Sketching cur
Preview of IB Math Applications & Interpretation SL Topic 5 Calculus BUNDLE

IB Math Applications & Interpretation SL Topic 5 Calculus BUNDLE

This is a GROWING bundle covering IB Math Applications and Interpretation SL Topic 5 Calculus standards: SL 5.1 Introduction to the concept of a limit and derivative interpreted as gradient function and as rate of rangeSL 5.2 Increasing and decreasing functions (coming soon)SL 5.3 Derivative using power rule where all exponents are integersSL 5.4 Tangents and normals at a given point, and their equationsSL 5.5 Introduction to integration as anti-differentiation of functions (indefinite and defi
Preview of graph logarithm and inverse function : exponential , rational exponents function

graph logarithm and inverse function : exponential , rational exponents function

Graphing Logarithmic Function, Domain , Asymptotes & end behaviour Rational function inside logarithm + inverse function nested logarithm analysis of the function with detailed explanation for exam preparation It includes clear explanations in simple language to analyze logarithmic graphs: number of branches, increasing or decreasing behavior, inverse functions, and end behavior.
Preview of Change in Tandem AP® Precalculus 1.1 Activity Cut and Paste

Change in Tandem AP® Precalculus 1.1 Activity Cut and Paste

Do you find that your AP ® Precalculus need more help on the change in tandem topic? Students will work on identifying the relationship between the input and output for given functions graphically and describe the rate of change as increasing, decreasing, positive and negative for AP ® Precalculus topic 1.1. This activity can be completed as just a worksheet or as a cut and paste activity. Students can cut out the solutions and paste them into the specific box for easy differentation as well.
Preview of Spring: Calculus First & Second Derivative Tests Pixel Art Activity

Spring: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Spring: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Spring Pixel Art Mystery Pictures5 different versions: Each with 15 unique questions & 5 different
Preview of St. Patrick's Day Calculus First & Second Derivative Tests Mystery Pixel Art

St. Patrick's Day Calculus First & Second Derivative Tests Mystery Pixel Art

Created by
Qwizy
Celebrate St. Patrick's Day with Calculus First & Second Derivative Tests Pixel Art Mystery Picture Activities! Students analyze functions—including quadratics, cubics, quartics, rationals, and equations with rational exponents—using first and second derivative tests. Discover critical points, intervals of increase/decrease, inflection points, and concavity while unveiling festive pixel art. A lucky blend of calculus practice and holiday fun! Product Highlights⭐️ 25 Different Pixel Art Myster
Preview of Easter: Calculus First & Second Derivative Tests Pixel Art Activity

Easter: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Easter: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Easter Pixel Art Mystery Pictures5 different versions: Each with 15 unique questions & 5 different
Preview of Summer: Calculus First & Second Derivative Tests Pixel Art Activity

Summer: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Summer: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Summer Pixel Art Mystery Pictures5 different versions: Each with 15 unique questions & 5 different
Preview of Monsters: Calculus First & Second Derivative Tests Pixel Art Activity

Monsters: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Monsters: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Monsters Pixel Art Mystery Pictures 5 different versions: Each with 15 unique questions & 5 diffe
Preview of Patriotic: Calculus First & Second Derivative Tests Pixel Art Activity

Patriotic: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Patriotic: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Use on Labor Day, Memorial Day, Veteran's Day, Flag Day, 4th of July, President's Day or anytime you feel like being patrio
Preview of Arcade: Calculus First & Second Derivative Tests Pixel Art Activity

Arcade: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Arcade: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Arcade Pixel Art Mystery Pictures5 different versions: Each with 15 unique questions & 5 different
Preview of Dogs: Calculus First & Second Derivative Tests Pixel Art Mystery Pictures

Dogs: Calculus First & Second Derivative Tests Pixel Art Mystery Pictures

Created by
Qwizy
Dogs: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Dog Pixel Art Mystery Pictures5 different versions: Each with 15 unique questions & 5 different pict
Preview of Pi Day Trivia Activity:  Graph Analysis Using 1st Derivative (editable)

Pi Day Trivia Activity: Graph Analysis Using 1st Derivative (editable)

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 increase and/or decreasefinding relative extremafinding absolute extrema
Preview of Pi Day Activity: Graph Analysis Using the 1st Derivative

Pi Day Activity: Graph Analysis Using the 1st Derivative

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 increase and/or decreasefinding relative extremafinding absolute extrema
Preview of Synthetic Division Poster

Synthetic Division Poster

Created by
HIP-O-MATH
Students will follow the hand motions of a set of Emoji's to create a sketch of a polynomial function! From there, they will decide where the x-intercept(s) and y-intercept are, state domain/range, end behaviour, intervals of increase/decrease and describe their function in factored and expanded form. Then, they are asked to use the process of synthetic division to determine if x=2 is a solution to their function. This is a great way to have students summarize the entire unit on polynomials in a
Preview of Error Analysis: Applications of Derivatives - Part 1

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
Preview of Super Hero: Calculus First & Second Derivative Tests Pixel Art Activity

Super Hero: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Super Hero: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Super Hero Pixel Art Mystery Pictures5 different versions: Each with 15 unique questions & 5 d
Preview of Calculus Super Secret Number Puzzle Curve Sketching Two

Calculus Super Secret Number Puzzle Curve Sketching Two

In this super secret number puzzle, students will practice finding important features of the original function, the first derivative of the function, and the second derivative of a function given a graph. Students need to know how to find where functions are increasing and decreasing, where functions have maximums and minimums, where functions are concave up and down, and where functions have inflection points. Students find the answers to each of the ten questions and then add their answers t
Preview of AP Calculus: Graphing the Derivative Complete Lesson

AP Calculus: Graphing the Derivative Complete Lesson

Created by
Grab a Pencil
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
Preview of Graph Analysis 1st Derivative -   Something Old, New, Borrowed and True Warm Up

Graph Analysis 1st Derivative - Something Old, New, Borrowed and True Warm Up

This is designed to use as a warm up or starter activity. Something Old: A previous topic needed to support the current topic or topic coming soon. Finding the 2nd derivativeSomething New: The current topic. For this resource - Finding intervals of increase and decreaseSomething Borrowed: A totally different topic designed to help prevent learning loss. For this resource - Identifying Trig ratiosSomething True: An interesting fact or story in math. For this resource - Statistical studies show t
Preview of Calculus Curve Sketching Matching Activities

Calculus Curve Sketching Matching Activities

This is an activity that can be used for students to practice what they have learned about curve sketching. In the first activity, students will match the description of a curve to its equation. Descriptions include such things as where the curve is increasing or decreasing, where it has a maximum or minimum, where it is concave up or concave down, and where there are points of inflection. In the second activity, students will match the graph of a function to the graph of its derivative. In
Preview of Derivative Detectives: f, f ′ , and f ′′  Graphing Activity | Calculus Review

Derivative Detectives: f, f ′ , and f ′′ Graphing Activity | Calculus Review

Turn derivative graph analysis into an engaging mystery with Derivative Detectives! In this calculus activity, students act as detective mathematicians as they analyze evidence, examine suspect graphs, and connect a function with its first and second derivatives. Students practice identifying relationships between f, f′, and f′′ using increasing/decreasing behavior, local extrema, concavity, inflection points, and derivative sign patterns. What’s Included Teacher instructions Student packet
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