Teach Engineering
Optimizing Pencils in a Tray
What do you call a story about a broken pencil? Pointless. Scholars may not be telling stories when using the resource, but they are solving optimization problems involving the maximum number of pencils that can fit on a tray. They...
CK-12 Foundation
Absolute Extrema and Optimization: Building the Biggest Box
Optimally, you want the largest box. Given a square piece of box material, pupils determine the size of congruent squares to cut out of the corners to create a box with the greatest volume. Learners determine the equation of the volume...
Flipped Math
Calculus AB/BC - Introduction to Optimization Problems
Let's get the equation set. Pupils see the importance of setting up an one-variable equation in the first of two lessons on optimization problems. The presenter works four different types of problems before individuals use the included...
Teach Engineering
Optimize! Cleaner Energy Options for Rural China
What are the trade-offs when looking to get the most benefit from an energy source? Small groups compare the cost-to-emission levels of several energy sources by looking at the information graphically. The groups utilize this information...
Curated OER
Optimization
Learners identify the critical points to a function. In this calculus lesson, students perform optimization of functions. They use the TI to create a visual of the graph.
Flipped Math
Calculus AB/BC - Solving Optimization Problems
Move beyond setting up equations. Pupils continue with optimization problems and use their knowledge of derivatives to find solutions. They watch as the video uses equations from previous examples and find solutions to answer specific...
Curated OER
Applications of Derivatives: Optimization
In this optimization worksheet, students write a short essay listing the criterion for global minimum. They write directions for finding the global minimum on a closed or open interval.
Curated OER
River Optimization Problem
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
Curated OER
Maximum/ Minimum Problems
In this optimization worksheet, students solve 20 short answer word problems. Students read, sketch, define variables, write equations, differentiate their equations, and find the maximum or minimum of each word problem.
Curated OER
Candide: A Herber Readiness Activity
“Everything will end up okay if you believe hard enough.” “People create their own luck, good or bad.” Prior to reading Candide, class members respond to an anticipation guide that focuses on the issues of optimism, prejudice, and class...
Curated OER
Application of Differentiation: Optimization
In this optimization worksheet, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...
Curated OER
Math 212: Constrained Multivariable Optimization
In this optimization instructional activity, students solve problems using the method of Lagrange. They identify the points and distance from the origin in an equation. This two-page instructional activity contains three problems.
Curated OER
Cutting Corners - Parts 1 and 2
Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
Curated OER
Basic Calculus: Extrema, and Optimization: Putting it all Together
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...
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...
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,...
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
Calculus 4.4 - Modeling and Optimization
Looking for an interractive presentation for your high schoolers dealing with calculus? Then this PowerPoint is for you! Problems that cover area, volume, and other calculus-related topics are presented. Students are led through the...
CK-12 Foundation
Using Quadratic Equations to Solve Problems: Construct a Soccer Field
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
Curated OER
Optimism
Young scholars engage in a lesson to build the character trait of optimism. They use two quotations to begin the class discussion. Students brainstorm to come up with a definition of optimism. Then they read a story that is used as an...
Curated OER
Applications of Derivatives: General Rules for Optimization
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.
Curated OER
Multivariable Optimization
In this multivariable optimization worksheet, 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. This four page...
Forest Hill Nature Preschool & Childcare
Optimizing Healthy Eating Habits Flyer
Instill healthy habits in your classroom with a colorful flyer detailing four key areas in which scholars work towards a positive eating lifestyle.
Curated OER
Extrema on an Interval
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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