Showing posts with label algebra I. Show all posts
Showing posts with label algebra I. Show all posts

Sep 15, 2011

Teaching Thursdays - The Wave

Well, it is Thursday, so you know that means it is Teaching Thursdays here! Woohoo!

Today I am sharing an activity that can be used for Algebra I, Algebra II, and Math Models. It is great for graphing scatter plots, finding linear regressions, extrapolating info, solving equations, comparing equations, and determining changes in graphs when the slope is changed. Plus the kids have fun which is a double bonus!

So....here is The Wave activity! This is just like when people do the wave at sporting events except we are obviously doing this on a much smaller scale.

Using this worksheet, the class will do the wave with increasing number of students added to the line and time themselves. Then the class graphs the scatterplots, gets an equation and makes predicitions. I make the kiddos stand in the front of the room and make noise as they are doing the wave. Some kids think they are too cool but most students have fun with it. You can get the worksheet HERE to use in your classroom.

Here are some tips:
1. Make sure the students do the wave the same way each time. So if an individual decides to do it super fast, they need to do it super fast at each trial to keep it consistent.

2. If you are short on time or have a large class, have the students do the wave in groups rather than adding individual students to the line. So maybe at each trial 3 students are added to the wave instead of one.

3. Set behaviour expectations up front. I told my students if they couldn't handle this activity, they would be sent to the hall with a worksheet to work on rather than have fun with the class. The worksheet would practice the same things we were doing in The Wave but would be much more boring!

4. Keep all the data in your calculator so that you can graph the different waves on one screen. It shows a GREAT comparison at how the different slopes shifts the line.

5. You can add in changing the y-intercept by saying the first person in the wave has to wait 4 seconds before starting the wave. Or waiting 10 seconds.

6. Maybe another class is doing this the same day. Then you can go in the hall and see if your prediction of 50 students is correct.

7. If it is a nice day maybe you can do all the data collection on the football stands outside. Or in the gym if no one is using it. :)

What other ways could we make this activity run smooth in the class or make it a better activity? Have you done this in class and have modifications to it? I would love to hear about it!

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Sep 1, 2011

Teaching Thursdays- Partner Activity

I hope everyone had a wonderful week and you are getting back into the swing of teaching again! Last week I shared how I set up my classroom that allowed for partner work at all times and quickly switched to group activities. So, at the request of Mrs. H from Math Tales from the Spring, (Hi, Mrs. H!!) I am going to share an activity today for students to do with partners.

Mrs. H said she found these really cute small sheets of graph paper at Target.



These would be great for Mix, Freeze, Pair activities in class. I am a cheapo and would laminate the sheets of paper and let the students use wet erase markers to make them reusable. Or you can put them in sheet protectors instead of laminating. And because I am a cheapo, I would probably skip buying those all together and just print out a class set of graph paper and laminate those. But I digress.

So, since most Algebra II classes are reviewing linear equations right about now, I thought I would share a Mix, Freeze, Pair activity for graphing a linear equation.

1. Give each student a notecard or have them use a sheet of scratch paper. (I always kept my extra worksheets and used the backs for scratch paper).

2. Have students write down their favorite ordered pair. I mean, who doesn't have a FAVORITE ordered pair?!

3. Students will stand up, MIX (walk) around the room, and as they pass another student, they say hi and trade cards. They continue doing this until you say FREEZE. When you say FREEZE, they PAIR up with a person next to them. They now have two notecards with two ordered pairs.

4. Using their notecards, they can find the slope, equation, and graph. I usually give them a worksheet to carry with them for writing down their calculations, but again they can use scratch paper. They could also use a small dry erase board instead of a handout or paper.

A sample worksheet that I would have had them use can be found HERE! :)

5. Once you see that the students are ready to switch again, have the students MIX (continually trading cards so they aren't using the same point for each problem), FREEZE, and PAIR. I usually had them switch 3 or 4 times, depending on time. I also insisted they found a new partner each time they paired up so that way they were working with new people all the time.

To add a little fun, I also did this with music. So they mixed while the music was on and when I turned it off it meant for the students to pair up.

Some reasons I love this activity:
1. It is very little prep on my part. The students make up the cards, they carry a reusable graph, and I can just facilitate and answer questions.

2. It is versatile. Think of all the concepts you could use this with: graphing/ solving systems, finding slope between points, are the equations parallel/perpendicular?, graphing systems of inequalities, adding/subtracting/mult/dividing rationals, mult/div exponents...

3. Kids are getting to move around the room, work with new people, ask questions, teach others.


Lastly, I wanted to add a sidenote of using wet erase markers or dry erase markers in class. Whenever we used something out of the norm such as the dry erase boards, I ALWAYS let them play and doodle for about 2 minutes. I told them to draw to their heart's content for those two minutes because after that, we are focused on math and I didn't want to see any hearts, flowers, boyfriend's initials, tic tac toe, etc. It worked pretty well and I didn't have problems with kids off task during the activity. Just a little tip for ya!

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