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Lesson Plan
Curated OER

Logistic Growth

For Teachers 9th - 12th Standards
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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Worksheet
Curated OER

Info. From a Graph

For Students 9th - 12th
In this graphing worksheet, high schoolers answer 13 questions about 3 graphs.  Students determine the degree, roots, y-intercepts, inflection points, multiplicity, etc. of three different graphs.
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Lesson Plan
Curated OER

Exploring the Witch of Agnesi

For Teachers 9th - 12th
high schoolers construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. They construct the graph of the Witch of Agnesi and conjecture the asymptotes and inflection points of the function. ...
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Worksheet
Curated OER

Math 155 - Worksheet 13. Intervals

For Students Higher Ed
In this interval worksheet, students find the intervals of increase and decrease and all local extrema. They sketch a graph of the function and describe the intervals of concavity and all inflections points. This two-page worksheet...
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Worksheet
Curated OER

Overview Worksheet

For Students 10th - 11th
In this learning exercise, students solve 5 multi-step problems involving sine, cosine, velocity, inflection and constants.
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Worksheet
Curated OER

Applications of Derivatives: Concavity and Optimization

For Students Higher Ed
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...
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Handout
West Contra Costa Unified School District

Using Derivatives to Graph Polynomials

For Teachers 11th - Higher Ed
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...
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Worksheet
Curated OER

Functions

For Students 10th
For this functions worksheet, 10th graders solve and complete 6 different types of problems. First, they find the largest value of a given function. Then, students determine the values of the constants a, b, c, dso that the curve is a...
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Worksheet
Curated OER

Challenge Discussion Sheet 6

For Students 12th - Higher Ed
Students are challenged to determine values that are guaranteed by the mean value theorem. They sketch the graph of a function and show that it satisfies the conditions of the mean value theorem over a given interval. Students determine...
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Worksheet
Curated OER

Senior Analysis: Graphing Rational Functions

For Students 10th - 12th
Budding mathematicians graph given functions, identify the asymptotes, graph absolute values, and write a table of points. This three-page worksheet contains 23 problems.
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Interactive
CK-12 Foundation

Absolute Versus Local Extrema

For Students 11th - Higher Ed
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. 
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Lesson Plan
Curated OER

Say it with FEELING!

For Teachers 1st - 4th
Why should we read with expression when we read? Engage your learners in this discussion and teach them the easiest way to gauge expression: the end mark! Is it a question mark? An exclamation point? This helps you determine how to...
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Worksheet
Curated OER

Worksheet #5, Concavity,

For Students 11th - 12th
For this calculus worksheet, students determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative extrema of a...
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Lesson Plan
Curated OER

Interesting Properties of Cubic Functions to Discover Graphically or Numerically

For Teachers 9th - 12th Standards
Learners investigate the slope of a cubic function. They find the tangent line of the cubic function at point P, and discuss the relationship between point P and point Q, the point the tangent line intersects the cubic function.  They...
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Worksheet
Curated OER

Linear Approximation

For Students 9th - 11th
In this algebra worksheet, students solve problems using estimation and the derivative. They calculate the critical points, domain and indicated intervals. They calculate the first and second derivative. There are 5 problems.
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Activity
Scholastic

Mindful Listening

For Teachers 6th - 8th
Teach your middle schoolers to use their ears to their highest potential! Pupils practice active listening skills and reflect on how careful listening might prove to be important in and out of the classroom.
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Worksheet
Curated OER

Max/Min Problems for Review

For Students 11th - 12th
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. 
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Worksheet
Curated OER

Curve Sketching Review Worksheet

For Students 11th - 12th
In this curve sketching activity, students solve 13 short answer and graphing questions. Students find maximums, minimums, critical points, turning points, increasing/decreasing intervals, etc.
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Worksheet
Curated OER

Intervals

For Students 9th - 12th
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...
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Lesson Plan
Curated OER

Extrema on an Interval

For Teachers 9th - Higher Ed
Learners explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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Worksheet
Curated OER

Curve Sketching

For Students 12th
In this calculus instructional activity, 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...
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Worksheet
Curated OER

AP Calculus Practice Exam 2008

For Students 11th - 12th
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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Organizer
Curated OER

Practice Book O

For Teachers 3rd - 6th Standards
Whether you need resources for reading comprehension, literary analysis, phonics, vocabulary, or text features, an extensive packet of worksheets is sure to fit your needs. Based on a fifth-grade curriculum but applicable to any level of...
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Worksheet
Curated OER

Rate Equations, Slope Functions and Concavity

For Students Higher Ed
In this rate equation worksheet, students identify an inflection value for given functions. They determine an expression that stultifies a given rate equation. This three-page worksheet contains definitions, explanations and examples. ...