Flipped Math
Calculus AB/BC - Determining Concavity of Functions over Their Domains
Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...
Curated OER
Maximum and Minimum of Functions
In this calculus worksheet, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
Flipped Math
Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
Curated OER
Rate Equations: Equilibrium and Inflection Values
In this rate equation, students are given 7 short-answer problems regarding functions, maximum and minimum values, equilibrium values, and inflection values.
Curated OER
Quartic Inflection
Learners use their TI-89 calculator to find properties of the quartic polynomials. The lesson plan includes detailed instructions along with screen shots of the graphing calculator display.
West Contra Costa Unified School District
Using Derivatives to Graph Polynomials
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
College Board
2010 AP® Calculus AB Free-Response Questions
Is this going to be on the test? The resource contains the AP Calculus AB free-response questions that were on the 2010 test. Pupils use the six questions to prepare for their tests. Teachers use the included response resources to...
Curated OER
Analyze This Function
For this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...
CK-12 Foundation
Absolute Versus Local Extrema
Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of inflection.
Curated OER
From F to F
For this derivatives worksheet, students solve 16 short answer problems. Students use a graph of a derivative to determine local maximums and minimums, concavity, inflection points, etc.
Curated OER
The Unraveling
Students explore the role of tone in Shakespeare's Julius Caesar. In this literature lesson, students perform scenes from the play inflecting the tone that they believe Shakespeare intended.
Curated OER
Taylor Polynomials, Minima, Maxima and Inflection Points
In this Taylor polynomial worksheet, learners answer 3 problems regarding quadratic polynomials, 2nd degree Taylor polynomials, and cubic polynomials.
Curated OER
Questions
Explore end punctuation with this multi-step worksheet on question marks. Scholars begin by finishing 10 sentences with either a period or a question mark. Consider discussing patterns they see at this point (first word, inflection,...
Houston Area Calculus Teachers
Cubic Polynomial
Birthdays are a time for celebration, and now they're a time for calculation! An AP calculus lesson uniquely explores relationships between a polynomial function and its derivative. Learners create a cubic function based on their...
Flipped Math
Calculus AB/BC - Sketching Graphs of Functions and Their Derivatives
Find deeper meaning in graphs. Pupils use the knowledge gained from the previous sections in the unit to sketch graphs of a function's derivative. Learners also see how to sketch a graph of a function given the graph of its derivatives....
Curated OER
Max/Min Problems for Review
For this Algebra II/Pre-Calculus worksheet, students determine the points of inflections for various functions and use the answers to complete a riddle. The one page worksheet contains seven problems. Answers are included.
Curated OER
Intervals
In this intervals worksheet, high schoolers determine the coordinates at a point of inflection. They compute the deritative of a function and sketch curves that satisfy given conditions. Students solve equations using the Mean Value...
Curated OER
Overview Worksheet
In this worksheet, students solve 5 multi-step problems involving sine, cosine, velocity, inflection and constants.
Curated OER
Intervals
In this intervals worksheet, students solve and complete 8 various types of problems. First, they find the intervals of x for each curve. Then, students sketch a graph of each showing all maximum and minimum points and all inflection...
Curated OER
Further Differentiation
In this further differentiation worksheet, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and describe...
Curated OER
Curve Sketching
In this calculus worksheet, 12th graders answer questions about derivatives, increasing and decreasing functions, relative maximum and minimum and points of inflection. They also sketch the graph of the equation. There are 10 problems...
College Board
2012 AP® Calculus AB Free-Response Questions
What's on the test? Released items provide insight into the AP Calculus test. The six items are split into two groups, two calculator items and four non-calculator items. Resources allow teachers to see what kinds of answers test takers...
Curated OER
Inflection Points
In this inflection points worksheet, 11th graders solve and complete 5 different problems. First, they find intervals of x for which each of the following curves is increasing, decreasing, concave upward, concave downward. Then, students...
Curated OER
Worksheet 11: Derivative
In this derivative worksheet, students compute the relative maximum, relative minimum and inflection points of a function. They determine the derivative of a function and find the circumference of inscribed circles. This two-page...