Lesson Plan
Curated OER

Local Linearity

For Teachers 8th - 11th Standards
In order to investigate local linearity, students graph the function on the TI-calculator and zoom to observe the change in slope on the line. They incorporate technology to visualize these problems.
Lesson Plan
Texas Instruments

Continuity and Differentiability 1

For Teachers 9th - 12th Standards
Pupils examine graphs for continuity and differentiability in this calculus lesson. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation on the TI...
Lesson Plan
Curated OER

Filling The Urn

For Teachers 9th - 12th Standards
Students calculate the area under a curve. In this calculus activity,students calculate the area by integrating the equation. They calculate the volume of cylindrical shapes created between graphs.
Lesson Plan
Curated OER

Newton's Method

For Teachers 9th - 12th Standards
Student approximate the roots of E using Newtons Method. In this calculus lesson plan, students calculate the equation of tangent a line. They use the TI to visualize the tangent line.
Lesson Plan
Curated OER

Food For Thought

For Teachers 7th - 8th
Students create an individual menu for one of their peers. They must examine their peer's activity level and family history.
Lesson Plan
Texas Instruments

Areas of Regular Polygons and Circles

For Teachers 9th - 12th Standards
Learners explore area of polygons and regular polygons in this math lesson. They calculate the area of several polygons using Cabri Jr. and analyze shapes and write formulas to solve for the area.
Worksheet
Curated OER

Algebra II - Lesson 10-3: Circles

For Students 9th - 12th
In this equations of circles instructional activity, students solve 4 short answer problems. Students find an equation of a circle given the center and radius.
Lesson Plan
Curated OER

Celsius to Fahrenheit

For Teachers 9th - 11th
Students convert degrees between two different units. In this algebra lesson, students graph linear equations and identify the line of best fit. They use their line of best fit to make predictions given a set of data.
Lesson Plan
Curated OER

Linear Approximation

For Teachers 9th - 12th Standards
Pupils practice examining the tangent to a function to estimate the value of the function near the point of tangency. They view errors associated with those approximations, determine overestimates and find intervals that guarantee a...
Lesson Plan
Curated OER

Easter Egg Eggstravaganza

For Teachers K
Students identify functions and proper use of the computer. They identify secondary colors by mixing primary colors. Students reinforce listening, speaking and following directions by playing a game. They identify the color gold.
Handout
Other

Matheno: How to Solve Optimization Problems in Calculus

For Students 10th - 12th
Need to solve Optimization problems in Calculus? This blog illustrates the steps needed to solve them routinely for yourself.
Activity
Texas Instruments

Texas Instruments: Application of the Derivative

For Teachers 9th - 10th
In this activity, students learn and explore two common applications of the derivative: optimization and related rate.
Activity
Texas Instruments

Texas Instruments: Optimization

For Teachers 9th - 10th
This activity illustrates how the derivative is used to find a solution to an optimization problem.
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Applications of Derivatives

For Students 9th - 10th
Learners examine applications of derivatives. Topics investigated are rates of change, the mean value theorem, optimization problems, critical points, linear approximations, and Newton?s method. Class notes, definitions, and examples...
Activity
Texas Instruments

Texas Instruments: Optimization

For Teachers 9th - 10th
This activity shows the student how to determine the optimal solution for maximum volume based on the box-with-no-top problem.
Study Guide
Department of Defense

Do Dea: Optimization Business Applications

For Students 9th - 10th
You can apply calculus to the business world! This lesson goes through a number of business applications of derivatives and optimization that are widely used. Explanations and examples are provided. Great review for the AP Calculus test!
Study Guide
Department of Defense

Do Dea: Optimization the Basics

For Students 9th - 10th
In this lesson, you learn how to apply the concepts of maxima and minima to any formula that is generated by business, economics, physics, etc. It is one of the most important applications of derivatives and will show up on your AP...
Study Guide
Department of Defense

Do Dea: Optimization Examples

For Students 9th - 10th
Practice types of problems you will see on AP Calculus test that deal with optimization. Formulas and examples are provided.
Activity
Texas Instruments

Texas Instruments: Differential Calculus

For Teachers 9th - 10th
In this activity, students learn to solve problems dealing with limits, derivatives, and optimization. They use various features of the TI-86 to study some important ideas covered in a differential calculus course.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Problemas De Optimizacion

For Students 9th - 10th
In Spanish. Apply your Calculus knowledge using interactive activities to solve optimization problems.
Lesson Plan
Other

Metal: Differentiation [Pdf]

For Teachers 9th - 10th
The resource is a instructional activity guide that teaches how differentiation applies in mathematical economics. Topics include differentiation, elasticity applications, and optimization applications. PowerPoint slides are included on...
Unit Plan
University of California

University of California: Maximum/minimum Problems

For Students 10th - 12th
The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative.
Activity
BBC

Bbc: Differentiations

For Students 9th - 10th
This site presents a tutorial on the topic of differentiation. Points of focus include rules for differentiation, tangents to curves, derivatives, increasing and decreasing functions, and optimization. Examples and a practice test are...
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Applications of Maximum and Minimum Values

For Students 9th - 10th
Here is a site that clearly and thoroughly explains how to solve applied max/min problems using the first derivative. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...