Equations

Today, during a double block of sixth grade math, I tackled equations. First, there was a DO NOW that comprised of simplifying 4 expressions using the distributive property. The students had to show me the solution 3 different ways. I had them draw and model algebra tiles, the rectangular area model, and the regular way (with the arrows). 

Secondly, I briefly went over and reviewed the Properties of Mathematics with them. We went over how these apply to algebra.

And finally, we dove into Equations. This involved using the algebra tiles one more time. I went over the Golden Rule of Algebra about 5 times throughout the day. I explained a few problems, we all did the problems together, then they worked in small groups to practice the new skill. I then pulled them all back together and demonstrated how to use INVERSE OPERATIONS  to solve a few more problems. The students returned to their groupwork to finish the rest.

I really enjoy and like working during a math block. It seems that during a regular period, once the class gets rolling and picking up steam, it is time to stop. Even if they are only a couple of times a week, it is better than nothing.   

Algebra tiles

I continued another day with the algebra tiles. The class modeled the distributive property, combining like terms, and factoring. We also addressed and review using the area model of ditributive property and the slide method for factoring.

Tomorrow, during a block, we will review all the math properties again and start on equations (while most of us still have the algebra tiles).

The Ideal Classroom

For the class that I take at Westfield State University, I am supposed to draw elements that I will employ to create my ideal classroom. At least five of them. So I'm gonna brainstorm some here...

1. Paired seating arraingement

2. Neat classroom

3. Sense of humor

4. Live plants

5. Projector mounted to the ceiling

6. Computer/tablet station

7. Color

8. Student work on display

9. Original Hand-made signage

10. Interesting Math Books

11. Multi-cultural items

Algebra tiles

I used algebra tiles today to illustrate what is going on in the distributive property. I used the meal deal method to introduce the concept a few lessons ago but not very many kids retained the concept on the last quiz I gave. So today, I spiraled back and used the tiles. It was a nice way to ease back into school from our February break. 

The students cut out their own tiles and placed them into envolopes. I modeled what to do by drawing pictures on the board as my projector set-up was not hooked up from the break. Tonight, I am going to use some blank magnet sheets and create some alegebra tiles that will stick to the whiteboard. I gave all the students their own whiteboards to use and circulated around to all the groups to make sure everybody was okay. The common mistakes were there, like when a student does too much...when the equivalent expression should end at 3x+6 but they go on to combine unlike terms and make it 9x. Having the visual models helped recognize the mistake.

Keyboard Update

I took the other keyboard back to Best Buy. It worked great but I realized that I settled for something that wasn't exactly what I wanted. 

Here is the new keyboard...Logitech K811. It is amazing. It has illuminated keys and can be charged with USB. The keys feel better and has a real keyboard feel. The other one felt a little cheap. This makes typing on mobile devices so much better. I like the select functions (hold shift + (command or option) + arrow key. And the manueverability with the arrow keys to move the cursor around. And, I can switch from iPad to iPhone with a push of a button.

Social issues intertwined with math

When I get back to school after this amazingly freezing week off of school (AKA February Break in Massachusetts), I am going to introduce Equations to my sixth graders. I am going to pull in some really heavy social issues regarding equality and inequality in society. 

I'm thinking about gender equality and race equality. Maybe talk about Black History Month a little bit and the Civil Rights of the 1960's. I think that in these kids' search for identity, they need to be exposed to stuff like that. Has anyone tried to do anything like this and was it successful?

It's going to eventually tie into math somehow.

Profile Views

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