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Lesson Plan
Curated OER

Two Investigations of Cubic Functions

For Teachers 9th - 12th Standards
Through learning about cubic functions, learners 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.  Learners...
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Worksheet
Curated OER

Maximum and Minimum Word Problems

For Students 11th - Higher Ed
In this maximum and minimum instructional 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...
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Lesson Plan
Curated OER

Increasing and Decreasing Functions

For Teachers 12th - Higher Ed
Students discuss the process involved in increasing and decreasing functions. In this calculus lesson, students analyze functions based on increasing, decreasing, constant, concave up, concave down and point of inflection. They base...
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Lesson Plan
Texas Instruments

Quartic Regions

For Teachers 9th - 12th Standards
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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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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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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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

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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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

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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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

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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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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AP Test Prep14:15
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1
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
1
1
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

A.P. Calculus - First Semester Esxamination

For Students 11th - 12th
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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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

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. ...
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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

My Worksheet--Body Multi--Choice

For Students K - 1st
In this ESL body parts worksheet, students answer six multiple choice questions as they view six pictures with arrows pointing to a certain part of the body.
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Worksheet
Curated OER

Multivariable Optimization

For Students Higher Ed
In this multivariable optimization instructional activity, students determine the local maximum and local minimum of given functions. They identify the critical points for given function and match contour plots to the proper functions....

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