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29 resources with the concept linear programming

Lesson Planet

Modeling Constraints (Summer Money)

For Teachers 9th - 12th Standards
Creating a successful business has a lot to do with mathematics. Budding entrepreneurs use information about different constraints such as costs, area, and time that apply to a pet-sitting business to determine the best business model....
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The New School

For Students 9th - 12th Standards
Mathematics is a powerful tool when modeling constraints. A challenging task expects learners to write three inequalities based on a set of restrictions. The resulting constraints represent a system of linear inequalities.
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Pet Sitters Feasible Region

For Students 9th - 12th Standards
Find the best way to maximize the profit. Pupils graph four constraints of a pet-sitting company, using a revenue equation to find a maximum amount the sitters can earn. By using the equation, scholars determine the number of cats and...
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Can A Thousand Tiny Swarming Robots Outsmart Nature?

For Students 6th - 12th Standards
Kilobots, made from only $15 worth of parts, work together to achieve a group goal. The video explains how with a few simple lines of programming, these tiny robots tackle tasks in much the same way animals or cells have for centuries....
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Linear Programming: Bakers' Dilemma

For Students 9th - 12th Standards
Place the pies in a line. Pupils create a graph of a system of linear inequalities to represent the number of pies a bakery can make. Learners analyze the vertices on the graph to determine the number of pies they can bake without...
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All About Linear Programming

For Teachers 8th - 10th Standards
Class members connect engineering with an understanding of linear programming using a technical resource. Scholars learn about linear programming (linear optimization) and how it applies to engineering design in the first of two modules....
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Boogie Boards

For Students 10th - Higher Ed Standards
Solve a complex business puzzle by building a linear programming model. An engaging project-based learning problem has classes examining transportation costs and manufacturing limitations from several plants. Ultimately, they use their...
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Arsenic and Selenium Removal From Drinking Water at a Minimal Cost

For Teachers 10th - Higher Ed Standards
Decide on the most efficient plan to supply drinking water. The second project-based learning task in a two-part series builds upon the first project. Pupils revisit the wells to supply drinking water, but they must make sure the...
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Optimizing Pencils in a Tray

For Teachers 8th - 10th Standards
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...
1 In 1 Collection
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Rabbit Food

For Students 9th - 12th Standards
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...
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Systems of Equations and Inequalities

For Teachers 9th - 12th Standards
High school classes can use manipulatives too! Offer hands-on, interactive lessons that venture away from the typical day in your algebra class. Young mathematicians will be involved in collaborative learning, visual representations, and...
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Systems of Equations and Inequalities

For Teachers 8th - 12th Standards
This is a comprehensive lesson plan on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world...
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Application of Linear Systems

For Teachers 9th - 12th Standards
Let the learners take the driving wheel! The class solves systems of linear equations and applies the concepts of systems to solve a real-world situation about parking cars and buses. They then use calculators to create a visual of their...
1 In 1 Collection
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Linear Inequalities

For Teachers 10th - 12th Standards
Through exploration of linear programming through graphs and equations of inequalities, students relate linear programming to real life scenarios, such as business. Graphing and shading is also part of this exercise.
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Linear Programming

For Students 10th - 12th
In this linear programming worksheet, students solve and complete 6 different word problems related to programming. First, they define the variables in each problem and write a system of inequalities. Then, students graph the...
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Linear Programming

For Teachers 10th - 12th Standards
Students explore inequalities to determine the optimal solution to maximize a profit for a company. In this linear programming lesson, students discover how to graph inequalities and how to determine the algebraic representation of a...
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The Busing Problem

For Teachers 9th - 12th
Students use substitution and the elimination method to solve linear systems in order to solve linear programming problems. They solve two linear programming problems. The first one, Researching Research Papers, involves three variables;...
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"You're Hired!'

For Teachers 10th - 12th Standards
Students investigate linear programming using the TI. In this algebra activity, students collaborate and graph linear inequalities on a TI. They analyze their data and present it to the class.
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Topic 3.5 & 3.6: Linear Programming

For Students 9th - 12th
In this linear programming worksheet, students define variables and write a system of inequalities for the given situation. They model the solution through graphing. This two-page worksheet contains six multi-step word problems.
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NUMB3RS Activity: Branch and Bound

For Teachers 10th - 12th
In this secondary mathematics lesson, students explore linear programming as they graph a system of inequalities determined by the constraints of the problems.  Students identify the corner of the feasible region and determine the...
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Basketball Math

For Teachers 9th - 12th Standards
New ReviewShoot for a better knowledge of optimization strategies. During the first part of the task, scholars use given basketball shooting percentages for different players to predict the winner by examining systems of inequalities. For the...
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Graphing systems of inequalities

For Students 9th - 12th
In this graphing worksheet, learners graph ten systems of inequalities.  Students are then asked to find the area of the regions.  A challenge problem is included. where learners are asked to find the volume of the resulting solid.
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Linear Programming

For Students 11th
In this linear programming worksheet, 11th graders solve and complete 4 different word problems that include various applications of linear programming. First, they find the maximum earning of a situation given the time worked. Then,...
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Doctor, Doctor, Give Me the News, I've Got a Bad Case of Loving Math

For Teachers 9th - 12th
Solve a real-world problem of discovering how many doctors and nurses can be hired within budget and building constraints. Using different colored pencils to shade each graph, they then find the intersection points and use these to solve...