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...
Achieve
Stairway
It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...
Illustrative Mathematics
Centerpiece
Learners hear wedding bells in this problem set, as they help a fictional bride plan the centerpieces for her wedding reception. Algebra is married to geometry as volume, aesthetics, and budgeting all come into play. Learners are asked...
Curated OER
Application of Linear Systems
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...
Curated OER
Linear Inequalities
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.
Curated OER
Linear Programming
In this algebra instructional activity, students calculate the maximum and minimum of a shaded region. They identify the boundaries and their vertices's. There are 2 problems.
Curated OER
Linear Programming
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...
Curated OER
Linear Programming
Students explore inequalities to determine the optimal solution to maximize a profit for a company. In this linear programming lesson plan, students discover how to graph inequalities and how to determine the algebraic representation of...
Curated OER
Don't Bet The House On It!
Great real-world math application! Have the class compare and contrast their estimated home price and income data with actual data. In groups, they participate in simulations to discover how the housing market and mortgages operate....
Curated OER
Representing Constraints
What are constraints and how can they be represented mathematically? This instructional slideshow provides an explanation and an example of how to translate constraints into algebraic inequalities.
Curated OER
Doctor, Doctor, Give Me the News, I've Got a Bad Case of Loving Math
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...
Curated OER
Worksheet #7
In this maximum and minimum of values worksheet, students solve 4 problems, two of which are word problems, related to determining values of a given variable. First, they find the maximum value of P subject to its constraints. Then,...
Curated OER
"You're Hired!'
Students investigate linear programming using the TI. In this algebra lesson, students collaborate and graph linear inequalities on a TI. They analyze their data and present it to the class.
Curated OER
Topic 3.5 & 3.6: Linear Programming
In this linear programming learning exercise, students define variables and write a system of inequalities for the given situation. They model the solution through graphing. This two-page learning exercise contains six multi-step word...
Curated OER
Criteria and Constraints in Aircraft Design
Students investigate criteria and constraints for designing any aircraft. They define these terms and categorize a series of examples of both. Using the constraints and criteria set before them, they design and construct airplanes in...
Curated OER
Rocket Launch
Young scholars participate in design and engineering activities pertaining to model and real rockets. They observe the launch a model rocket.
Texas Instruments
Texas Instruments: Problem Solving Steps
In this activity, students learn the four steps of problem solving: understanding the problem, making a plan, carrying out the plan, and evaluating the results. This activity helps students develop skills to solve problems.
Texas Instruments
Texas Instruments: Winning Inequalities (Part 2)
Students graph systems of linear inequalities and investigate the concepts of constraints and feasible polygons.
Other
High Step Sport Shoes: A Linear Programming Problem [Pdf]
A simple example of a linear programming problem for students that helps them understand the basic ideas behind linear programming and how they can be applied to solving real world problems.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Applications of Maxima and Minima
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,...
Sophia Learning
Sophia: Applying the Scientific Method
Learn how to use the steps of the scientific method to carry out a scientific investigation.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.3: Dimes and Quarters
This task requires students to recognize the pairs of linear equations in two variables that would be used to solve a given system of equations. Aligns with A-CED.A.3.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.3: Growing Coffee
This task is designed to make students think about the meaning of the quantities presented in the context (of coffee needs) and choose which ones are appropriate for the two different constraints presented. Aligns with A-CED.A.3.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.3: Writing Constraints
The purpose of this task is to give students practice writing a constraint equation for a given context. Aligns with A-CED.A.3.