## Reflection: Connection to Prior Knowledge Building Cat Furniture: An Introduction to Linear Programming - Section 1: Launch and Explore

While working on the Launch of this task, several of my students starting working on an algebraic approach before I asked them to think about the task in that way. I was pleased that they knew that this brute force strategy was not going to be what we were sticking with.

One of my students made the connection to a system of equations. Here you can see his attempt at setting up a system of equations to model this scenario. He chose to let the variables represent the yellow and green blocks, an idea that we revisit later in the lesson.

It is interesting to note his approach - he made an equation for each of the types of furniture and then substituted these into the revenue equation.

Connection to Prior Knowledge: An Algebraic Attempt

# 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