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Worksheet
Curated OER

From F to F

For Students 11th - 12th
In this derivatives learning exercise, 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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Worksheet
Curated OER

Analyze This Function

For Students 11th - 12th
In 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...
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Worksheet
Curated OER

Taylor Polynomials, Minima, Maxima and Inflection Points

For Students 12th - Higher Ed
In this Taylor polynomial worksheet, students answer 3 problems regarding quadratic polynomials, 2nd degree Taylor polynomials, and cubic polynomials.
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AP Test Prep19:26
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1
Flipped Math

Calculus AB/BC - Determining Concavity of Functions over Their Domains

For Students 10th - 12th
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...
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Lesson Plan
Curated OER

Quartic Inflection

For Teachers 9th - 12th Standards
Learners use their TI-89 calculator to find properties of the quartic polynomials. The lesson includes detailed instructions along with screen shots of the graphing calculator display.
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Worksheet
Curated OER

Rate Equations: Equilibrium and Inflection Values

For Students 12th - Higher Ed
In this rate equation, students are given 7 short-answer problems regarding functions, maximum and minimum values, equilibrium values, and inflection values.
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Worksheet
Curated OER

Intervals

For Students 11th - Higher Ed
In this intervals activity, 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...
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AP Test Prep
College Board

2010 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
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...
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Worksheet
Curated OER

Inflection Points

For Students 11th
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...
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Worksheet
Curated OER

Worksheet 11: Derivative

For Students 12th - Higher Ed
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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AP Test Prep
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Flipped Math

Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change

For Students 10th - 12th
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...
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Activity
Houston Area Calculus Teachers

Cubic Polynomial

For Students 11th - Higher Ed
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...
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AP Test Prep11:42
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Flipped Math

Calculus AB/BC - Sketching Graphs of Functions and Their Derivatives

For Students 10th - 12th
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....
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AP Test Prep
College Board

2012 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
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...
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Lesson Plan
Texas Instruments

Quartic Regions

For Teachers 9th - 12th Standards
Young scholars explore quartic functions in this calculus lesson. 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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Worksheet
Curated OER

Maximum and Minimum Word Problems

For Students 11th - Higher Ed
In this maximum and minimum activity, students solve and complete 10 various types of word problems. First, they find the numbers if the product of the square of one of the numbers with the cube of the other number is to be a maximum....
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Lesson Plan
Curated OER

The Unraveling

For Teachers 9th - 12th
High schoolers explore the role of tone in Shakespeare's Julius Caesar. In this literature instructional activity, students perform scenes from the play inflecting the tone that they believe Shakespeare intended. 
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Worksheet
Curated OER

Questions

For Students K - 1st Standards
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,...
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Lesson Plan
Curated OER

Two Investigations of Cubic Functions

For Teachers 9th - 12th Standards
Through learning about cubic functions, students graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function.  Students...
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AP Test Prep14:15
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Flipped Math

Calculus AB/BC - Connecting a Function, Its First Derivative, and Its Second Derivative

For Students 10th - 12th
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...
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
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AP Test Prep9:02
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Flipped Math

Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area

For Students 10th - 12th
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...
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Worksheet
Curated OER

Maximum and Minimum of Functions

For Students 10th - 12th
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.
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Worksheet
Curated OER

Further Differentiation

For Students 11th - Higher Ed
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...