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.

In Spanish. Apply your Calculus knowledge using interactive activities to solve optimization problems.

Child prodigy Adora Svitak says the world needs childish thinking: bold ideas, wild creativity, and especially optimism. Kids' big dreams deserve high expectations, she says, starting with grownups' willingness to learn from children as...

Students learn how to apply maxima and minima in real world problems. Topics include optimization problems, objective functions, and constraints. The tutorial explores the calculus concepts through notes and examples. A chapter quiz,...

Read about the first two decades of the twentieth century, when Texans shared the optimism and confidence that permeated American society in the time period called the Progressive Era.

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...

The glomerular filtration rate (GFR) is used to determine how well the kidneys are functioning. The glomerulus in the kidney is a high-pressure system that is optimal for fluid filtration. Read the information about measuring kidney...

Practice what you have learned about the way firms choose the optimal use of inputs in this four-question exercise.

Practice what you've learned about options available to regulate markets where the socially optimal quantity is not produced.

Practice what you have learned about identifying externalities and using graphs to identify both market equilibrium and socially optimal outcomes in this exercise.

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...

A collection of video lectures from an industrial control course taught at the National Programme on Technology Enhanced Learning. The course teaches basic characteristics of feedback control systems, frequency-response analysis, and...

A science lab to determine the optimal temperature for common bacteria to grow. Students will graph their data to analyze and focus on bacteria that live in extreme conditions. To complete this experiment students will perform a gram stain.

The goal of this project is to determine whether feeding chickens a dietary supplement of peanuts will result in larger and heavier eggs. If peanuts do increase egg size, a secondary goal will be to determine the optimal amount of peanut...

Find out in this experiment how good bacteria can turn milk into a treat by investigating the optimal starter cultures for making yogurt from whole milk.

Find out how a wind turbine can use the power of the wind to generate energy in this science fair engineering project. You will get to design various blades to find out which produces the most energy, and at what wind speeds they are...

This series of videos introduces students to the brain, including why it is so special, its parts and functions and how it recalls memories and stores new information. Other videos explain how the brain processes sensory information and...

An investigation that is part of series of lab lessons where students study coral. In this particular experiment, students explore the optimal environmental conditions for coral to survive. Students will study temperature, water depth,...

Find website allows you to get step-by-step walking or driving directions to your destination and to avoid traffic with optimized routes. It will also give you information about hotels, food, gas, shopping, etc. along the route or nearby.

Students use real-world data to calculate the potential for solar and wind energy generation at their school location. After examining maps and analyzing data from the online Renewable Energy Living Lab, they write recommendations as to...

Students investigate circuits and their components by building a basic thermostat. They learn why key parts are necessary for the circuit to function, and alter the circuit to optimize the thermostat temperature range. They also gain an...

After learning about transfer of energy, specifically the loss of kinetic energy to friction, students get a chance to test friction. In groups they are given a wooden block, different fabrics, and weights and asked to design the "best"...

Students use ultrasonic sensors and LEGO MINDSTORMS NXT robots to emulate how bats use echolocation to detect obstacles. They measure the robot's reaction times as it senses objects at two distances and with different sensor threshold...

Students use LEGO MINDSTORMS robotics to help conceptualize and understand the force of friction. Specifically, they observe how different surfaces in contact result in different frictional forces. A LEGO robot is constructed to pull a...