Flipped Math
Calculus AB/BC - Using the Candidates Test to Determine Absolute (Global) Extrema
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...
Flipped Math
Calculus AB/BC - Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
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...
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.
College Board
Extrema
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...
Flipped Math
Calculus AB/BC - Using the Second Derivative Test to Determine Extrema
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...
Curated OER
Absolute Maximum and Minimum
Students 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...
Flipped Math
Calculus AB/BC - Using the First Derivative Test to Determine Relative Local Extrema
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...
Flipped Math
Unit 2 Review: Polynomial Functions
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...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target E
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...
Flipped Math
Graphing Polynomial Functions
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...
Curated OER
The Second Derivative Test for Relative Extreme in Three Dimensional Space
In this second derivative activity, 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...
West Contra Costa Unified School District
The Extreme Value Theorem
Finding the critical numbers of a function can be extreme. The lesson 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.
Curated OER
Extrema on an Interval
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
Curated OER
Who am I? Find A Polynomial From Its Roots
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...
Curated OER
Multivariable Calculus: Extrema of Multivariable Functions
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.
Curated OER
Finding Extrema Graphically and Symbolically
In this extrema worksheet, 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 eight-page...
Curated OER
The Second Derivative Test for Relative Extrema in Three Dimensional Space
In this math worksheet, students seek to find the relative maximum and minimum values of surfaces in three dimensional space for the function.
Flipped Math
Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation
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...
Curated OER
Lesson #67 Relative Extrema
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.
Curated OER
Lesson #73 Absolute Maximum and Minimum
Students listen to a lecture about absolute maximum and absolute minimum. In this maximum and minimum lesson students use steps to find points and practice with an example.
Curated OER
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.
Curated OER
The Apple Orchard Problem
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard instructional activity, students collect data in order to solve the apple orchard problem...
Curated OER
Applications of First and Second Derivatives.
In this calculus instructional activity, students solve for the critical values, open intervals and find the maximum and minimum. There are 7 questions dealing with the derivative.
Curated OER
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.