Monday, April 28, 2014

Triangle Interactive Notes - Law of Sines/Cosines/Heron's

Trig kids and I just finished our Triangle Lesson. I'm really liking these interactive notebook mini handouts and so I think I have a project for myself this summer, create a whole course worth to put on TPT! Gotta keep myself entertained in the summer, right?

Anyways, I used the blank(ish) space on the top of each handout to prove the theorems. I didn't leave room for Heron's because there is another activity that I can do to prove this (ran out of time - I'll be absent three days next week so I want to squeeze in as much as possible).

I like how these handouts have room for lesson notes/proofs as well as examples. There also the perfect size so that I don't waste a whole page of notes for each child! For triangles (especially the law of cos/sin, I like how I gave some space to explain the when you use each formula). This is a very important conversation that I have with the kids. Another important topic is the why there can be 2 solutions conversation. I also add in why law of cosine cannot have 2 cases......

Area of Triangle Handout

Law of Sine Handout
Law of Cosine Handout

Thursday, April 17, 2014

Graphing Exponential & Logarithmic Station Work

Clearly, I've just finished my unit on exponentials and logarithms (based upon the fact that I've continuously posted about activities I've done with my class). To start the unit, I always begin with graphing and the conversion between the two different forms (Snail Method).

Typically, the kids have an easy time with the exponentials (side from a few who can't get over the fact that they aren't graphing lines) but struggle with the logs. With logs, I explain that they must find their asymptotes and then convert the log into exponential form to plug in for y and solve for x. 

Eventually, they get the hang of it and then understand more so how the two functions are inverses of one another. If I still taught inverses, I'd engage in more of the conversation of how functions who are inverses swap their x and y values thus why we can utilize this logic (now a precalc topic).

As you can see, there are 6 stations, each with a different function. At each station, the kids must graph the function showing their x/y table with domain/range. After 25 minutes, we talked about two of their difficult stations. This was then turned in as an Exit Ticket.

p.s. my kids decided they'd rather just sit and so they wrote down each function then went to their seats.... I should have posted them around the school.....

Friday, April 11, 2014

Speed Dating - Properties of Logs

(I had forgotten that I had made this.....)

Another great activity is Speed Dating (the kids giggle). In this activity, students became experts and explained/checked the work of their peers. It was great with my dry erase desks and it really showed where we were as a class.

A few of the tasks stumped my kids so halfway through, we would have a group discussion. They also loved the room arrangement......

The follow up activity to this was the Around the Room - Properties of Exponents. It was a very fun, practiced filled day!

Property of Log Task Cards

Properties of Exponents - Around the Room

Oh, if only I had gotten pictures of my kids doing this activity. It was great.

So here I am, getting observed by my principal and it was the day to review properties of log and exponents. We started off by doing the Speed Dating (Log Properties) activity and I thought it went okay. Noticed halfway through that we needed to review square roots inside of logs and the logic as to why they would have a coefficient of 1/2. After speed dating, I introduced the Around the Room Race.

As I started describing the race, I could see I was losing the kid's attention. But not in the bad way. In the way that they were wanting to get a head start on the race. When I finally was done explaining the instructions (all work must be shown, etc.), I said go and they were off! Every child almost stood up immediately to race to the station.

I loved the enthusiasm and I think it has to do with the fact that they were so confident with the properties (this also showed in the averages on their homework).

Overall, I was very pleased with this activity. I especially loved station 9.... it perplexed a few kids..... But don't take my word for it, check it out!

p.s. I also passed this on to my Algebra 1 teacher so that she could get her kids moving in her class too!

Properties of Exponents Around the Room

Monday, April 7, 2014

Basic Factoring Notes

Ah yes, factoring. How my kids (for some reason) dislike thee. Whatever, we'll get over it ;)

This term, for some reason, my classes have, as a whole, required different methods of teaching. They've needed more guided notes and I think it's due to many of my kids not having an Algebra 1 credit. Gosh, how important it is to have this credit!

Anyways, here are my guided notes for four types of factoring :) I started off the lesson with GCF but this didn't have it's own guided notes sheet.

Factoring Notes

Additional Methods of Factoring - Guided Notes

This semester, I've noticed that my kids needed a bit more assistance. After all, about half of my kids recovering the class so clearly I need to change my method. Inspired, I've made a series of guided notes for both of my classes and thus far, they've been well received with us going through the steps and examples as a class. At times, I'll do the examples then the steps and let them phrase these in their own words.

I've removed the Where? and gave extra space in the example to show case that this can be done in a variety of ways.

Graphing Polynomial Project [Water Park]

This time around, I felt like my Polynomial unit needed a bit more to it. Last term, my kiddos did a small version of a graphing project and did a teach me how to factor project. Needless to say, they did not teach me how to factor and I had to rethink that this term. Anyways, I felt like my kiddos needed to be little architects and then Part 3 was born.

Part 2 is still a birthday polynomial created by the birthday and using it as coefficients.

Part 3 of my new graphing project gave kids the ability to design their own Water Park from a birds' eye view. With the project, I gave different requirements based upon the size of the group, similar to how the Angry Birds Project operates. Needless to say, I think I have some architects on my hand ;)

One way that a few of my students completed the project was by overlaying the functions on top of a currently existing water park. This was really interesting to see and I didn't foresee my kiddos taking this perspective.

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