Curated OER
Applications of Derivatives: Finding Maxima and Minima
In this derivative activity, students use the second derivative test to determine the maxima and minima of given functions. They explore real life problems to complete the optimization of a problem. This two-page activity contains...
Curated OER
Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. For this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.
Curated OER
Applications of Derivatives: Finding Maxima and Minima
In this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
Curated OER
Maxima and Minima
In this algebra worksheet, learners discuss the origin of maxima and minima. They solve problems using the maxima and minima and graph parabolas and other functions containing a maxima and minima.
Curated OER
Maxima Minima Problems
In this algebra worksheet, students find the maxima and the minima of the parabola. They calculate the maximum and minimum area and apply the formulas of polygons to help them solve equations. There are 8 questions with an answer key.
Curated OER
Minima/Maxima
In this minima/maxima worksheet, students solve systems of equations, identify the first derivative of a quadratic equation, and find the critical point in an equation. Using Excel worksheets, students graph four equations. There are...
CK-12 Foundation
Derivatives with Mean Value Theorem and Rolle's Theorem: Maxima and Minima
Rolle with the mean values and derivatives. Scholars complete the statements of Rolle's Theorem and the Mean Value Theorem. Using the interactive to illustrate scenarios, pupils respond to questions concerning the theorems in terms of...
Curated OER
Taylor Polynomials, Minima, Maxima and Inflection Points
In this Taylor polynomial worksheet, learners answer 3 problems regarding quadratic polynomials, 2nd degree Taylor polynomials, and cubic polynomials.
Curated OER
Applications of Derivatives: General Rules for Optimization
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
Curated OER
Basic Calculus: Extrema, and Optimization: Putting it all Together
In this extrema and optimization worksheet, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page worksheet contains two...
Curated OER
Applications of Derivatives: Finding Maxima and Minima
For this derivatives worksheet, students complete a function chart by telling the type of function, the derivative, and making an illustration of the concept. They find the intervals at which a given function is increasing or decreasing....
Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations, then apply these...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Curated OER
Extreme Values
Students sketch a picture of what appears on a computer screen. Locate the extreme points on the pictures and label them as maxima or minima. Use the definitions of maxima and minima to explain how you identified the points indicated, if...
Curated OER
Worksheet 19 - Topographical Maps
In this map worksheet, students use information from given topical maps and locate the maxima and solve one dimensional wave equations. This two-page worksheet contains four problems.
Curated OER
The Spider and the Fly
Young scholars investigate maxima and minima by finding the shortest distance. In this calculus lesson, students calculate the shortest distance a bug travels to get to the other side of the tv. They analyze their findings discussing...
Curated OER
Absolute Maximum and Minimum
Students calculate the maximum and minimum of each function. In this algebra lesson, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of each function.
Curated OER
Quadratic Functions - Max and Min
Students identify the maxima and minima of quadratic functions. After a teacher explanation and demonstration of quadratic functions, students solve quadratic equations and graph the solution to find the maxima and minima of each...
Curated OER
Applications of Derivatives: Concavity and Optimization
In this derivatives instructional activity, 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...
Curated OER
Finding Roots and Newton's Method
In this roots activity, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page activity contains examples, explanations...
Curated OER
Challenge Sheet 2: Evaluate Functions
In this function instructional activity, students evaluate integrals using the fundamental theorem of calculus. They identify the maxima and minima on intervals. This one-page instructional activity contains seven problems.
Curated OER
Lesson #84 Test on Chapter 5
Students review Rolle's Theorem. In this derivatives instructional activity students review for a chapter test on applications of derivatives. Links to two copies of the test are included with the instructional activity.
NOAA
To Boldly Go...
When we think of ocean exploration, many of us have visions of sunken pirate ships full of treasure or mysterious creatures of the deep. What really motivates deep-sea investigation? The first in a series of diverse six-part lessons...
University of North Texas
Library of Functions
Join the family picnic and see how all the functions come together in a PowerPoint that highlights their main features. As it includes topics such as domain, range, and intercepts, the slides are a great guide to promote class discussions.
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