I've incorporated modeling activities into almost every course I've taught every year I've taught. I've slowly made them a little more open-ended and I've changed the method for generating regression equations from using an online regression calculator, to using a TI-84, to using Desmos, to using Google Sheets.

In each of these activities, we follow a similar procedure to investigate the relationship between two variables:

1. Collect data for 3-4 small samples
2. Look for patterns in the data
3. Graph the data
4. Generate an equation to represent the data
5. Use the equation to make a prediction
6. Test the prediction

Some of my favorite relationships include the following:

• Number of pennies vs Number of noodles
• Ball drop height vs Ball bounce height
• Barbie bungee (or action figure bungee since we had Iron Man and Flynn Ryder)
• Number of pennies vs balance point
• Volume of water vs Height of water

Some photos and videos of my classes are found below.