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AP Test Prep9:56
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Flipped Math

Calculus AB/BC - Using the Candidates Test to Determine Absolute (Global) Extrema

For Students 10th - 12th
Absolutely! Find the global maximum and minimums. Pupils watch a video showing how to find the absolute maximums and minimums of a function on an interval by testing critical points. The learners see how to determine whether a critical...
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AP Test Prep14:50
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Flipped Math

Calculus AB/BC - Extreme Value Theorem, Global Versus Local Extrema, and Critical Points

For Students 10th - 12th
It is critical to find all the extreme points. Pupils analyze graphs in the presentation to determine whether there are points that are either maximums and minimums. Using derivatives, learners find out how to find critical points from...
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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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AP Test Prep
College Board

Extrema

For Teachers 10th - 12th
No need to go to extreme lengths to find resources on extrema. The central focus of an AP® curriculum module is on critical points and extrema, and how to cover these concepts throughout the course. A set of three worksheets helps assess...
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AP Test Prep12:50
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Flipped Math

Calculus AB/BC - Using the Second Derivative Test to Determine Extrema

For Students 10th - 12th
Take a second look at extrema of functions. Pupils learn how to use the second derivative to determine whether a critical point is a maximum or a minimum. Learners use concavity to identify critical points as either a max or a min and...
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Lesson Plan
Curated OER

Absolute Maximum and Minimum

For Teachers 10th - 12th
Learners engage in a lesson that is concerned with the concepts of absolute maximum and minimum while solving for absolute extrema. They solve example problems that are used for direct instruction, guided practice, and independent...
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AP Test Prep13:54
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Flipped Math

Calculus AB/BC - Using the First Derivative Test to Determine Relative Local Extrema

For Students 10th - 12th
Critically apply intervals of increasing and decreasing. Pupils watch a video to see how finding a critical point and finding intervals of increasing and decreasing work together to identify local extrema. Scholars use the first...
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Worksheet
2
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Flipped Math

Unit 2 Review: Polynomial Functions

For Students 9th - 12th Standards
Wrap it all up in a box. Pupils review the key concepts from an Algebra 2 polynomial functions unit by working 19 problems. Problems range from using the Remainder Theorem to find remainders and finding factors; sketching graphs by...
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Assessment
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Target E

For Students 9th - 12th Standards
Pupils rewrite expressions in equivalent forms to identify key features. They use the vertex and factored forms of quadratic expressions to identify the extrema and intercepts. To finish the installment of the Claim 1 Item Slide Show...
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Instructional Video25:50
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2
Flipped Math

Graphing Polynomial Functions

For Students 9th - 12th Standards
Take a look in the window. Pupils watch a presentation to discover how to graph a polynomial using a graphing calculator and using the window to find the extrema. Scholars use their knowledge from previous lessons to gain a rough idea of...
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Worksheet
Curated OER

The Second Derivative Test for Relative Extreme in Three Dimensional Space

For Students Higher Ed
In this second derivative worksheet, students determine the relative maximum and minimum values of given surfaces in three-dimensional space. They perform the second derivative test, and identify the partial derivatives. This one-page...
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Lesson Plan
West Contra Costa Unified School District

The Extreme Value Theorem

For Teachers 11th - Higher Ed
Finding the critical numbers of a function can be extreme. The activity introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
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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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Lesson Plan
Curated OER

Who am I? Find A Polynomial From Its Roots

For Teachers 9th - 12th
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
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Worksheet
Curated OER

Multivariable Calculus: Extrema of Multivariable Functions

For Students Higher Ed
In this multivariable functions worksheet, students find the extrema of a function under given conditions. They find the maximum and minimum values of functions. This two page worksheet contains examples, explanations, and five problems.
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Worksheet
Curated OER

Finding Extrema Graphically and Symbolically

For Students Higher Ed
In this extrema instructional activity, students use graphing calculators and the optimization method to identify the maximum and minimums of a given function. They compute the first and second derivative, and graph the functions. This...
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Worksheet
Curated OER

The Second Derivative Test for Relative Extrema in Three Dimensional Space

For Students 11th - Higher Ed
In this math worksheet, students seek to find the relative maximum and minimum values of surfaces in three dimensional space for the function.
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AP Test Prep
1
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Flipped Math

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

For Students 10th - 12th
It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...
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Lesson Plan
Curated OER

Lesson #67 Relative Extrema

For Teachers 12th
  Students test for relative extrema.  In this Calculus lesson, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.  
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Lesson Plan
Curated OER

Lesson #73 Absolute Maximum and Minimum

For Teachers 10th - 12th
Students listen to a lecture about absolute maximum and absolute minimum. For this maximum and minimum lesson students use steps to find points and practice with an example.
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Worksheet
Curated OER

Worksheet 22-Fall 1995

For Students 11th - Higher Ed
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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Lesson Plan
Curated OER

The Apple Orchard Problem

For Teachers 11th - 12th
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. For this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students...
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Worksheet
Curated OER

Applications of First and Second Derivatives.

For Students 12th - Higher Ed
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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Worksheet
Curated OER

Graphs and Derivatives

For Students 9th - 12th
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.