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...
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....
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...
Flipped Math
Calculus AB/BC - Connecting a Function, Its First Derivative, and Its Second Derivative
Uncover what the first and second derivatives reveal about the function. Pupils move beyond sketching graphs to determine what derivatives tell about the function itself. The video reminds learners about particle motion and how to...
Curated OER
Derivatives
For this calculus worksheet, high schoolers solve functions by using the derivatives. The calculate the maximum and minimum of each function presented. There are 28 questions.
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Graphs and Derivatives
In this graphs and derivatives worksheet, students graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page worksheet contains three multi-step problems.
Curated OER
Applications of First and Second Derivatives.
In this calculus learning exercise, students solve for the critical values, open intervals and find the maximum and minimum. There are 7 questions dealing with the derivative.
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Graphing of Functions Using First and Second Derivatives
In this calculus worksheet, students solve problems using the first and second derivatives. They define the behavior of the function based on the derivative. There are 11 questions with an answer key.
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Applications of Derivatives: Concavity and Optimization
In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
Flipped Math
Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
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...
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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.
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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.
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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...
Texas Instruments
Quartic Regions
Young scholars explore quartic functions in this calculus instructional activity. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
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Logistic Growth
Through the exploration of population growth of a bacteria population, students learn about and observe bacteria population over a 20 hour period. Students graph the population growth using a scatter plot and discuss its logistic...
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AP Calculus Practice Exam 2008
In this calculus practice exam activity, learners solve 16 multiple choice problems. Students find derivatives, points of continuity, area, rates, etc.
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Derivatives and Maximum or Minimum
In this calculus worksheet, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 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...
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...
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
A.P. Calculus - First Semester Esxamination
In this calculus exam instructional activity, students solve 40 multiple choice and short answer questions. Students find normal lines, derivatives of functions, evaluate functions at points, etc.
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Worksheet 22-Fall 1995
In this math worksheet, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
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Test Chapter 5: Intervals
In this interval worksheet, students identify the largest interval for a given situation. They explore and explain functions, their derivative, relative maximum, and relative minimum. Students graph functions and determine the...