Two Truths & a Lie: Features of f(x)

I search the internet A LOT to find ideas. I had noticed teachers starting to do Two Truths & a Lie, so I thought I would try it with Calculus.

We have been discussing characteristics of functions and how to sketch the graphs of polynomials and rational functions using Calculus. I love this part of the unit - students finally see how calculus relates to topics that they have learned in the past. My students on the other hand aren't so happy...I hear all the time - We have a graphing calculator, why not use it? Thank you AP for making part of the exam calculator inactive so my students don't complain AS much since they know that it will be on AP exam. :)

The gist - students are given one function, instructions (I didn't use that this year), and a post-it note. They found critical numbers, inflection points, increasing, decreasing, concave up, concave down, extrema, and sketched the curve for their ONE problem. I also made them write a justification for each characteristic. Once finished, the students wrote down two truths and a lie about their problem on the post-it. There were no restrictions on their truths and lies (except it had to come from features of their function.)

On the board, I had the 4 functions posted. Students took their post-it and placed it under the correct function. Once all students were finished, I had students walk around and select a "new" function and a post-it where they decided which was the lie. If I had more time, I would have let the students work on more functions. But you know...I can never find extra time in a semester long AP class. :(

Instead of the gallery walk, you can also place the students in groups and do this:

I only had time for students to do one match and I wanted them out of their seats if only for a brief moment, so I changed it up a little this year and didn't use the instruction sheet.

Here is the activity: TTL Features of f(x)

~RJ

Comments

AP Calculus Hunger Games Review

I created this a couple of years ago when Hunger Games was really popular. However, I thought that I would share with all of you in case you wanted to use or revamp to something newer. I created 12 groups for the 12 districts. They decided what their name would be as a district. They had tasks each day to accomplish. The tasks were just multiple choice questions centered around the major topics of Calculus AB. This took a lot longer than I thought - about 4 days. I was forced to give them more than 15 minutes for each task (which did not make me happy since the AP exam is timed - Oh well.) I had the time, and it worked out. You can decide how you want to the points to work, I gave them 2 points for each correct answer. It was very easy to grade as this is the student worksheet. They placed the letter of the answer in each spot. I made them show all work on another student sheet so that I could see what we needed to review. Each day, I would post the new rankin

Exponential Growth & Decay Scavenger Hunt

Scavenger Hunts are always fun (and easy to grade). This particular one is all about applications of exponential growth & decay. My students seem to understand this topic really well, but I still wanted to provide more practice. When I did this hunt originally, I created the cards with the answer on the front and the question on the back. Once I figured out how to copy and make it work, it was great because I could use the cards over and over again. However, they started looking old, and I lost some of the cards. So t his year, I placed the answer and question on the front. It made it so much easier to copy! If you would like to try this in your class, here is a copy ! I included the solutions as well. UPDATE: I created this activity and transformed into a remote version. Remote Version: SE Scavenger Hunt TE Scavenger Hunt ~RJ

Adding & Subtracting Rational Expressions Drag & Drop

Because Math 3 now has drag & drop on the final exam, students need the practice. So, I created one using Google Slides. It went over really well! While this only took the students about 40-45 minutes to complete, it took me about 2 days to create this activity. Oh well, at least it is cute! :) I used Google Drawings to create the scene and took a screenshot of the drawing to post as the background in Google Slides. This worked so that students could only move the answers. I created this for an Honors class and one of the problems (#5 - the one pictured) really stumped the kiddos. I loved it! They kept thinking that x - 1 was not part of the common denominator...they didn't realize that they needed to simplify after subtracting. It really made them think! When they were finished, they shared it with me! I really think that this helped the kids get more practice on drag & drop while working on adding and subtracting rational expressions! Here is the ac

Girl Math

Search This Blog