# Minima and Maxima Teacher Resources

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Lesson Planet

#### Maxima Minima Slope Intuition

Before solving any problems, Sal gives an overview of what happens to the slope, first derivative, and second derivative at local maxima and minima to give the viewer a more intuitive feel for these types of problems.

Lesson Planet

#### 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...

Lesson Planet

#### 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.

Lesson Planet

#### Maxima and Minima On a Closed Interval

Close the chapter on extrema on a closed interval. Watching an informative video provides scholars with an opportunity to learn about extrema. Specifically, they see how to find the global maxima and minima on a closed interval by first...

Lesson Planet

#### F.IF.C.7.a, F.IF.B.4, and F.IF.B.5 Assessment Items

Don't go all quadratic on me. A set of assessment questions tests understanding of F-IF.7a, F-IF.4, and F-IF.5. Young mathematicians consider the graphs of quadratic applications to interpret intercepts, minima, maxima, domain, and range...

Lesson Planet

#### Taylor Polynomials, Minima, Maxima and Inflection Points

In this Taylor polynomial worksheet, students answer 3 problems regarding quadratic polynomials, 2nd degree Taylor polynomials, and cubic polynomials.

Lesson Planet

#### Applications of Derivatives: Finding Maxima and Minima

In this derivative learning exercise, 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 learning...

Lesson Planet

#### Maxima and Minima Problems

Students calculate the maxima and minima of quadratic equations. In this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.

Lesson Planet

#### Maxima and Minima

In this algebra worksheet, students 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.

Lesson Planet

#### 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.

Lesson Planet

#### 7-2 Skills Practice Graphing Polynomial Functions

In this polynomial function learning exercise, students create a table of functions and graph the data. They identify the relative maxima and minima of each function. This one-page learning exercise contains six multi-step problems.

Lesson Planet

#### 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...

Lesson Planet

#### Applications of Derivatives: General Rules for Optimization

For 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.

Lesson Planet

#### Basic Calculus: Extrema, and Optimization: Putting it all Together

In this extrema and optimization instructional activity, 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...

Lesson Planet

#### Applications of Derivatives: Finding Maxima and Minima

In 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....

Lesson Planet

#### 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,...

Lesson Planet

#### Graphing with Calculus

In a problem where you are not given the original function, but rather only three known points on the graph and a few additional pieces of information about when the first and second derivatives are positive or negative, Sal shows how...

Lesson Planet

#### 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...

Lesson Planet

#### 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.

Lesson Planet

#### Cubic Inflection

Twelfth graders explore cubic polynomials. In this calculus lesson plan, 12th graders investigate the location of the line segment that contains the relative minimum and relative maximum of a cubic. Students use the symbolic capacity...

Lesson Planet

#### The Spider and the Fly

Learners investigate maxima and minima by finding the shortest distance. In this calculus lesson plan, students calculate the shortest distance a bug travels to get to the other side of the tv. They analyze their findings discussing...

Lesson Planet

#### Integration Quiz

In this calculus worksheet, students solve functions using integration. They find the absolute maxima and minima. There are 2 questions.

Lesson Planet

#### Maxima Minima Problems

In this calculus activity, students determine the maximum and minimum of units under given parameters. For example, students determine the maximum product of two positive numbers with a given sum. In addition, they determine the maximum...