Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
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,...
Interactive
CK-12 Foundation

Derivatives with Mean Value Theorem and Rolle's Theorem: Maxima and Minima

For Students 11th - Higher Ed
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...
Worksheet
Curated OER

Applications of Derivatives: General Rules for Optimization

For Students Higher Ed
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.
Lesson Plan
Curated OER

Highs and Lows

For Teachers 8th - 11th
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
Lesson Plan
West Contra Costa Unified School District

Exploring Quadratics and Graphs

For Teachers 6th - 8th Standards
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
Lesson Plan
EngageNY

Graphing the Sine and Cosine Functions

For Students 10th - 12th Standards
Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...
Worksheet
Curated OER

Maxima and Minima

For Students 9th - 11th
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.
Worksheet
Curated OER

Derivatives and Maximum or Minimum

For Students 9th - 11th
In this calculus worksheet, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 questions.
PPT
University of North Texas

Library of Functions

For Students 9th - 12th Standards
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...
Unit Plan
Mathematics Vision Project

Quadratic Functions

For Teachers 10th - 12th Standards
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,...
Lesson Plan
West Contra Costa Unified School District

Shifting Linear Equations in Function Notation

For Students 8th - 10th Standards
Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.
Lesson Plan
EngageNY

Graphing Quadratic Functions from Factored Form

For Students 9th - 10th Standards
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...
Assessment
1
1
Inside Mathematics

Quadratic (2009)

For Teachers 9th - 12th Standards
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Worksheet
Curated OER

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

For Students Higher Ed
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...
Worksheet
Curated OER

Applications of Derivatives: Concavity and Optimization

For Students Higher Ed
In this derivatives worksheet, 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 involving...
Lesson Plan
Curated OER

Maxima and Minima Problems

For Teachers 11th - 12th
Students calculate the maxima and minima of quadratic equations. In this calculus instructional activity, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the...
Lesson Plan
1
1
EngageNY

Graphing Factored Polynomials

For Students 10th - 12th Standards
Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.
Worksheet
Curated OER

Applications of Derivatives: Finding Maxima and Minima

For Students Higher Ed
In this derivative worksheet, 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 worksheet contains...
Lesson Plan
Curated OER

Round and Round and Round We Go!

For Teachers 9th - 11th
Students investigate motion using a CBL. In this algebra instructional activity, students collect and graph data on a coordinate plane. They define and identify amplitude and period of conic graphs.
Worksheet
Curated OER

Taylor Polynomials, Minima, Maxima and Inflection Points

For Students 12th - Higher Ed
In this Taylor polynomial worksheet, students answer 3 problems regarding quadratic polynomials, 2nd degree Taylor polynomials, and cubic polynomials.
Worksheet
Curated OER

Applications of Derivatives: Finding Maxima and Minima

For Students 12th - Higher Ed
In this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
Lesson Plan
Curated OER

The Spider and the Fly

For Teachers 11th - 12th
Students 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...
Lesson Plan
Curated OER

Alkanes and Conformation

For Teachers Higher Ed
In this alkanes and conformation worksheet, students name 10 different alkanes, they write the structural formulas for 4 alkanes, and they write Newman projections for 2-methylbutane. They also write structure of stable conformations for...
Worksheet
Curated OER

Maxima Minima Problems

For Students 9th - 11th
In this algebra worksheet, learners 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.

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