Slope Fields! Slope Fields! Roly-poly Slope Fields!
This activity investigates slope fields, also known as direction fields. Here's how it works: Students are provided with a series of different slope fields. Each slope field has a corresponding differential equation. The students are asked to match the slope field to the correct differential equation.
There are fifteen slope fields in total.
This activity is appropriate for both AP Calculus AB and BC.
An answer key is included.
This activity works best in small groups. Cut out the slope fields and the differential equations to make a total of thirty cards. To keep different sets of cards separate, consider laminating each card on a construction paper backing--different colors of construction paper correspond to different sets of cards!
When might you use this? I recommend using it after slope fields have been introduced to the students.
Another option is to give it to students as a review, perhaps in preparation for a unit test.
You can also use these after you have covered separable differential equations. Ask the students to sort the cards into two piles: separable equations and non-separable equations.
If you like this, then please check out my complete lesson on Slope Fields: