Give your calculus students engaging practice with the circuit format! This set of 12 exercises requires students to write equations of tangent lines and then use their lines to approximate the y-value of the function (or relation in some cases) at a nearby x-value. To advance in the circuit, students must hunt for their approximation, and this becomes the next problem to do. The questions are progressive in nature, yet the students are moving all over the pages so there is the element of a game.
My students love this format. They do not get up when the bell rings if they are working on it in class and they always complete it if it is a homework assignment.
There is no answer key included because the the answers are embedded in the circuit. The only prep the teacher needs to do is work the circuit ahead of the students to understand how the concept unfolds.
My colleagues and I check these circuits thoroughly, but if you ever find a mistake or have a question, please do not hesitate to get in touch!