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Curated OER
Local Linearity
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.
Texas Instruments
Continuity and Differentiability 1
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...
Curated OER
Filling The Urn
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.
Curated OER
Newton's Method
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.
Curated OER
Food For Thought
Students create an individual menu for one of their peers. They must examine their peer's activity level and family history.
Texas Instruments
Areas of Regular Polygons and Circles
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.
Curated OER
Algebra II - Lesson 10-3: Circles
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.
Curated OER
Celsius to Fahrenheit
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.
Curated OER
Linear Approximation
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...
Curated OER
Easter Egg Eggstravaganza
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.
Other
Matheno: How to Solve Optimization Problems in Calculus
Need to solve Optimization problems in Calculus? This blog illustrates the steps needed to solve them routinely for yourself.
Texas Instruments
Texas Instruments: Application of the Derivative
In this activity, students learn and explore two common applications of the derivative: optimization and related rate.
Texas Instruments
Texas Instruments: Optimization
This activity illustrates how the derivative is used to find a solution to an optimization problem.
Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Derivatives
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...
Texas Instruments
Texas Instruments: Optimization
This activity shows the student how to determine the optimal solution for maximum volume based on the box-with-no-top problem.
Department of Defense
Do Dea: Optimization Business Applications
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!
Department of Defense
Do Dea: Optimization the Basics
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...
Department of Defense
Do Dea: Optimization Examples
Practice types of problems you will see on AP Calculus test that deal with optimization. Formulas and examples are provided.
Texas Instruments
Texas Instruments: Differential Calculus
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.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Problemas De Optimizacion
In Spanish. Apply your Calculus knowledge using interactive activities to solve optimization problems.
Other
Metal: Differentiation [Pdf]
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...
University of California
University of California: Maximum/minimum Problems
The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative.
BBC
Bbc: Differentiations
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...
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Applications of Maximum and Minimum Values
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...