One of the biggest concerns students have when it comes to online
education is losing the experience of interacting with their peers and
teachers because collaboration is often so integral to success in
their future. In the past, online learning platforms have
struggled to recreate these interactive environments that students value
so much in traditional classes, but new technologies are now addressing
the issue and created a collaborative online environment. Although this will not affect your grade in your online course, I strongly recommend the following activity! It's fun and will reinforce your learning in Algebra 2!
Collaborative Project Idea:
Using a problem (see below), students explore the restrictions of domain and range and linear inequalities to set boundaries on a region of the graph where solutions may lie. This problem is based on a problem from the Washington State Algebra II Indicators & Common Core Algebra Standards.
Technology: Google Hangouts, Google Plus Community (Sammamish Math), Graphing calculator, PowerPoint slideshow, YouTube
Linear Programming Project
Objectives: Students will be able to:
1. Work collaboratively using PowerPoint
2. Explain a real world example of a Linear Programming problem
3 . Write an objective function with restriction equations
4. Use computer software to graph and shade the feasibility region
5. Identify the vertices and evaluate the objective function
6. Explain the solution in a sentence
You will create a small PowerPoint slide show with your partner.
Written Portion: Must be one slide of PowerPoint
For the linear programming project you must write a short paragraph describing the maximization and restrictions. . For the graph, you should generate the graph, the shaded feasibility region and vertices using computer software. You must work collaboratively with your randomly assigned partner to present all information gathered using PowerPoint.
Typed paragraph describing the maximization desired 20
Objective Function, including list of restriction inequalities 20
Work collaboratively to develop PowerPoint (self review) 10
Work collaboratively to develop PowerPoint (peer review) 10
Contains at least 5 slides 5
At least one slide contains a computer generated graph clearly
and correctly indicating the shaded feasibility region and vertices 20
Uses effective transitions between slides 5
Uses proper technique (i.e. limited bullet points, proper font etc) 10
Total 100 points
Maximizing Nintendo’s Profit
Nintendo makes both the Wii and the DS systems. They want to maximize the profit made so they must decide how many of each to sell per hour to make the most money. You must describe the restriction equations. You must also describe objective equation. Then write the objective function.
P = 6Wii + 20DS
Graph the constraints to form the feasibility region below:
Find the coordinate of each vertex and evaluate the objective function