Functional Thinking, the problem solving process we follow in our Labs, enables students to see and learn a powerful common form and format across much of K-12 mathematics. Take this Tour of a collection of typical Labs to visualize and experience what mathematics of the Digital Age could look like to students; where they solve problems by constructing a parameter table, then function tables to build a model, then graphs to analyze and iterate the model; and finally to ask What if…
We believe this Tour shows the power of Functional Thinking to make math problem solving a concrete, consistent, and understandable process across the discipline.
How many gallons of a 70% alcohol solution must be added to 30 gallons of a 10% alcohol solution in order to produce a new mixture, a 20% alcohol solution?
We often see Lissajous figures in old sci-fi movies because they are so cool. As you play with them I think you will find them as fascinating as I do. They created those figures by graphing points as a function of a third variable (the parameter). We can do the same and in the process come to understand Parametric Functions.
If you are in the market for a new car, you often have a decision to make. Do you want to buy the car or lease it. I have, over the years, developed a simple model to help me decide. I call it my rule of 6.
What does a linear function look like when we interchange the inputs and outputs, that is make the x-axis the y-axis and vice versa.