## Reflection: Complex Tasks Building Cat Furniture: An Introduction to Linear Programming - Section 3: Extend

One challenging aspect of today's lesson is that there are so many quantities in this problem. We have the number of green and yellow Legos, the number of cat trees and dual napping stations, the prices of each piece of cat furniture, and the total revenue. It was difficult for students to understand how to set up their inequalities.

Even when one student group set up the correct inequalities, they noticed that there was absolutely nothing about the prices or revenue, so they were convinced that they set it up wrong. It wasn't until after we starting talking about the objective function that they had their a-ha moment- the prices were essential to the problem, but they were not needed until after we could consider all of the possible combinations.

So Many Values!

# Building Cat Furniture: An Introduction to Linear Programming

Unit 8: Matrices and Systems
Lesson 12 of 16

## Big Idea: Use Legos for an interactive introduction to linear programming!

Print Lesson
9 teachers like this lesson
Standards:
Subject(s):
Math, Precalculus and Calculus, Algebra, Systems of Equations and Inequalities, linear programming, systems of inequalities
55 minutes

### Tim Marley

##### Similar Lessons

###### What is Algebra?
Algebra II » Modeling with Algebra
Big Idea: Algebra is built on axioms and definitions and relies on proofs just as much as geometry.
Favorites(36)
Resources(19)
Fort Collins, CO
Environment: Suburban

###### Solving Linear Inequalities
Algebra I » Linear Inequalities
Big Idea: Students will apply their knowledge of multi-step equations to solve linear inequalities.
Favorites(19)
Resources(22)
Washington, DC
Environment: Urban

###### SUPPLEMENT: Linear Programming Application Day 1 of 2
Algebra I » Systems of Equations and Inequalities
Big Idea: This lesson gives students the opportunity to synthesize what they have learned before they begin to create their own linear programming problems.
Favorites(2)
Resources(17)
Boston, MA
Environment: Urban