Skip to main content

Calculus Intro

On the first day of Calculus - we have homeroom! That means, I only have one hour of class. That's not enough time to get through procedural class info and a typical lesson. So, I started looking around for a fun activity that would introduce future concepts.

I came across this blog post! I was so excited to find the activity and have been using this lesson for about 2 - 3 years. I absolutely love it!!!! You can download as a Word Document from her post. I added the Google version of her activity at the bottom of this post. 

After going over some procedural classroom information, I put the kiddos in groups of 3 and handed them the paper. I just observed and walked around - I did NOT assist at all!  

First of all - the conversations are amazing! To hear students on the first day of school arguing how to solve a problem - makes me so happy! 

Second - this takes the idea of a previously learned concept to help solve the more complicated Calculus concepts (that they have never seen before.) 

Third - I don't go over answers! My students kept asking if they were right! We had a discussion at the end of the class about answers. Justifying your answer is almost more important in AP Calculus than then answer itself. Being able to demonstrate your knowledge of Calculus is one thing that I want them to take from this activity. Also - that Calculus just uses basic concepts like slope and volume formulas and applies them to more complicated functions and shapes. (It will get way more complicated than that - but they don't have to know that yet!) :) 

This activity gives them an insight into the course, and I plan on using it every first day for as long as I teach Calculus! 

Here is a Google Version: Calculus Intro 

~RJ



Comments

Popular posts from this blog

Limit Project

Well...we just got back into school after being out for almost 3 weeks because of hurricane Florence. Our school is okay, but there are many people out there suffering from losing so much. :(  I had planned on a project for Calculus before the storm but will have to put that aside until next year! We have just lost too much time. However, I wanted to still share the project with you guys in case you would like to try it or something similar to it.   I like to make projects a unique experience. I hate when all students do the same thing. #1 - students can and WILL copy. #2 - It's boring to grade!  The idea of this project is floating somewhere on the web. I honestly can't remember where I got the idea. But I have altered it over the years to meet the needs of my students. It has gone through many alterations, and I will continue to change things.  So it is not perfect!  The gist - students find a recipe that has at least 5 ingredients. (The recipe ...

Arithmetic & Geometric Recursive Investigation

Investigation and student accountability is extremely important in education today. Students need to be challenged! They will learn so much more by discovering the formulas rather than me just placing the formula on the board!  While talking to my intern about not finding anything cool dealing with recursive sequences, I got an idea. I wanted my kids to find a pattern and develop the arithmetic and geometric recursive formulas using the information that they already know.  I created a cut and paste activity where students had to match the sequence, the type, the common difference/ratio, the explicit formula, and the recursive formula. From that, I hoped that students would be able to see a pattern! On a note card, I had them answer three questions...describe any patterns that you see, write a general recursive arithmetic formula, and write a general recursive geometric formula.   The students did an awesome job until they were asked to produce the general rec...

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