Math Monday: Desmos and Complex Systems
This Math Monday, we’re exploring the custom Desmos activity from the Financial Algebra lesson FA-4.8 Constraints and Optimization.
Students work with complex systems of inequalities and practice finding optimal solutions when faced with numerous constraints.
When working with multiple inequalities, some students have difficulty visualizing the solution set. That’s where Desmos comes in - the interactive graph and sketch features provide valuable support.
The Desmos Activity
First, students match equations with their graphs. The automatic tally of correct card pairs helps students check their work as they manage several equations.
Then, students are introduced to the system they’ll work with for the rest of the Application. Given the first three inequalities, students use the interactive draggable points and buttons to graph the fourth. Again, automatic feedback will tell students - and you! - when they’ve completed each step correctly.
Next, students use the sketch feature to identify the solution set.
Students then identify a solution to the system. But here’s the trick - they can see the solutions that their classmates have found, too! This reinforces students’ conceptual understanding of the solution set, since they can observe points clustered in the shaded area they just sketched.
Finally, students answer a set of reflection questions about what these solutions represent in the real-world context of a business.
Where to Find NGPF’s Desmos Activities
You may be wondering where exactly you can find these great Desmos activities.
If you’re using our Financial Algebra curriculum, Desmos Activity links are built directly into the lessons. You can find them in the Lesson Guides and Application Answer Keys. Note: Desmos activity links are teacher-facing, so will not be included in the Student Activity Packet and student-facing Application.
To look through NGPF’s library of Desmos activities, you can check out our Financial Algebra Collection.
- Financial Algebra course page
- VPD: Financial Algebra: Budgeting and Systems of Inequalities; this Wednesday at 1 pm Pacific
- Stay tuned for our next Financial Algebra unit release!
Looking for another budgeting lesson about constraints? Check out LESSON: Case Study: How Do I Budget?