California Academy of Science
Optimal and Sustainable: Renewable Energy Revamp
More than 100 cities around the world have shifted from fossil fuels to renewable energy sources. Scholars investigate a city wanting to make this switch, but needs help determining how to make the shift. Groups consider all options,...
Curated OER
Math 212: Constrained Multivariable Optimization
In this optimization worksheet, students solve problems using the method of Lagrange. They identify the points and distance from the origin in an equation. This two-page worksheet contains three problems.
Curated OER
Basic Calculus: Extrema, and Optimization: Putting it all Together
In this extrema and optimization 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 activity contains two...
Ohio National Guard
Emotional Intelligence
Provide teenagers with the social skills they need to live happy lives with this collection of worksheets and activities. Covering a variety of topics from self-awareness and assertiveness, to stress management and problem solving, this...
Bowland
Hilbre Island
Young travelers plan a trip to Hilbre Island based on constraints on tides and time. They use a timeline to help determine the optimal day/time to make the trip.
Curated OER
Optimization
In this optimization of satellites worksheet, students read about the Octagonal IMAGE satellite and solve 4 problems related to the size and shape of the satellite and the solar cells used to power the satellite. Students find the mass...
Curated OER
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.
Curated OER
Applied Maxim Mininmum Problems
Students define the maximum and minimum of an equation. In this calculus lesson, students analyze point on a graph and determine when a graph is approaching a maximum or minimum. They take a Quiz after working some review problems.
CK-12 Foundation
Half Angle Formulas: Half-Angle Formulas
Slide the resource into your lesson plans. Young mathematicians use a slider to move a movie screen to the right position for optimal viewing. Along the way, they learn to apply the half angle formulas.
Curated OER
Optimizing Perimeter and Area
In this perimeter and area worksheet, middle schoolers examine given perimeters and determine the dimensions that will give the maximum area. This one-page worksheet contains four multi-step problems.
Rochester Institute of Technology
Artificial Eye
Scientists in California developed a bionic eye that allows blind people to see edges of objects in black and white and costs $145,000. In the activity, groups of scholars discuss bioengineering, focusing on the human eye. They then...
Achieve
Rabbit Food
Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...
Curated OER
The Geometry Of An Ox Skin
High schoolers investigate the concepts of area and perimeter. The lesson uses a legend to create a context for the proposed word problem. They use the skill of estimation in order to create an ox skin that is found in the story.
Concord Consortium
Maximum Volumes
It's great to have a large swimming pool. An interesting performance task asks learners to optimize the volume of pools for a given surface area. They consider four different shapes for pools and find the maximum volume for each pool.
Mathematics Assessment Project
Optimizing Coverage: Security Cameras
Are you being watched? Class members determine where to place security cameras protecting a shop. They then evaluate their own and several provided solutions.
Curated OER
Analytical Problem Solving
Students explore about propagation of error in calculations using experimental data. They develop their weighing and pipetting techniques. Students explore the following terms: Standard deviation and relative standard deviatin. They...
Radford University
Throwing a Football
Use mathematics to help the football team. Pairs brainstorm how to approach finding a solution to a problem to help the quarterback complete more passes. By researching and collecting data, the teams derive an equation to represent the...
Curated OER
Applications of Derivatives: Concavity and Optimization
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...
Curated OER
Multivariable Optimization
In this multivariable optimization instructional activity, students determine the local maximum and local minimum of given functions. They identify the critical points for given function and match contour plots to the proper functions....
Curated OER
Optimization For Breakfast
Pupils identify he proportion of a cereal box. In this algebra lesson, students define the relationship between patterns, functions and relations. They model their understanding using the cereal box.
Curated OER
Explanation of Optimal A
In this math activity, students examine the concept of optimal A and solve a problem using the example. They find the error in the rounding.
Curated OER
Pronoun Shift
Having problems with shifty pronouns? The 10 prompts on this activity challenge young grammarians to recognize pronoun shifts and correct those sentences that contain errors.
Mascil Project
Circular Pave-Stones Backyard
Pack the instructional activity into your plans. Young mathematicians learn about packing and optimization with the context of circular paving stones. They use coins to model the paving stones, and then apply knowledge of circles and...
Curated OER
The Shortest Line Mystery
Pupils calculate the shortest distance of various scenarios. In this algebra instructional activity, students interpret graphs of optimization problems. They use a graphing calculator to assist them in graphing and making predictions.