Intro to Systems of Equations with Gallery Walk

This year I ran across a document in my Google Drive that Sonya New and I made in order to introduce solving systems of equations. I decided to do this on the first day back after Christmas break in order to get us "back on track." We have solved systems algebraically and had begun discussing the substitution and elimination methods the week before school let out.

I loved doing the assignment. I only had 6 groups but I still wanted to have them graph all 8 systems so a few groups had 2 systems to graph. I did not call them systems. I just told them to graph both lines on the same coordinate grid. I first allowed them to graph the lines on graph paper and then I had them put them on chart paper. Afterwards I assigned each group a different color marker to write with and had them do a gallery walk and put feedback on the graphs. If they agreed with the graph they put a check mark. If they thought there was an error they had to place an x and then tell what they thought was wrong. The last direction I gave them was to write down the solution to the system of equations. (We have been talking about solutions for systems of equations ALOT in class. I have even OPENED and CLOSED class MULTIPLE TIMES by randomly calling on a student and asking them, "What is the solution to a system of equations?" AND offered candy when they get it correct!! Many of them still don't know. I accept various answers: an x and a y that make both equations true, the point of intersection, an order pair that works for both.... It hurts my feelings but I still haven't gotten it to "sink in.") I had one student in the room that asked me if I meant for them to write the ordered pair down so eventually everyone caught on. Almost every group asked me what I meant by the solution but I would not tell them. I told them to discuss it within their groups because we had talked about it in depth before Christmas. Anyway...after they completed their gallery walk we "debriefed" as a class and settled any differences of opinion. It was a wonderful way to review graphing and reintroduce them to solving systems of equations - we had one no solution and one infinitely many solutions so we also discussed what those would look like algebraically. I did have them solve a couple of the solutions algebraically (using substitution) at the end of class.

Here is the document if you would like it.

OBSERVATIONS:
1. Even my best students needed the graphing review. I had one of the top students in my class put his y-intercepts on the x axis!! I want to do a better job of spiraling my algebra class. I love that our Meaningful Math Algebra books include graphing in every single unit! I hope to incorporate more spiraling review as my warmups this semester.

2. It scares me how much my students forget AND it bothers me that I have to move on when I have so many who have clearly not retained what we have learned.

3. Many of them wrote that the solution was 5 and 2 when they really meant (5,2). They think I am being picky when I make them write the answer as an ordered pair.

4. Students like the opportunity to get out of their seats! I did have some really good student dialogue and I feel that it was a productive first day back after Christmas:)

Reviewing Exponent Rules with "The Zombie Game" and the Alice Portfolio

I was looking for some ideas over the weekend and ran across this blog post by Sarah Hagan (Math=Love). The post includes alot of great ideas but the one that I borrowed came from yet another blog post by Nathan Kraft. I have really gotten so many great ideas from the teachers I follow on Twitter and through my Feedly blog reader! I am so thankful for teachers who are so willing to share their resources and ideas with others.

So, today was the first day back after Spring Break and I wanted to review problems using exponent rules. I borrowed some individual white boards from Ms. Whitt and gave one to each student. I had my students go write their names on my board and put 4 x's under each name. The last student with an x under his/her name wins. I gave the class a problem to work and had them put their markers down after a certain period of time. Any student who gets an answer correct gets to go erase an 'x' from any person's name. The "zombie" part comes when students have all 4 of their x's erased. Even though they can no longer win the game, they can still erase x's from others.  I will give the winners 5 bonus points on the next quiz grade. Ms. Whitt and I did go over how to work each problem afterwards.

I altered what my students will be doing for the Alice portfolio. Due to time constraints we chose to skip some of the activities that were mentioned in the portfolio list in the book. I created my own Alice Portfolio assignment. I borrowed some items from the Meaningful Math version of the portfolio. I do not necessarily think that mine is better; it just was a better fit for me this year since we had to cut some of the activities.

Kahoot! - educational and fun - especially for reviewing

Today we were delayed for 3 hours so there were several students who were absent. Also, we did not meet with all of our classes and I like to keep my classes together (for my sanity!) so I did not want to move forward with the next lesson. I was thinking about pulling some standardized-test style questions and reviewing. I was just going to project them on the board and have them work on them using the ipads (educreations app) or the small whiteboards. BUT then I remembered how much fun my students from last year had playing Kahoot! for reviewing.

Coach Whitt explaining a problem from a Kahoot!

Fortunately I ran across a wonderful Kahoot when I did a "public search" for graphing equations. It had 16 questions that reviewed finding slope, graphing, finding intercepts, and evaluating functions. I was able to use it with my Algebra IB for review and in my Algebra IA to reinforce concepts we are currently working on.

These 2 guys were working together:)

I realized last year that when we worked through Kahoots which makes the review feel like a game the students invested in trying to learn how to get the correct answer so they can get the points for the next question. After each question the game shows who the leader is and you also have the opportunity to stop and go over the question. Today I gave the winning player 2 pieces of candy and all the other players on the "leader board" 1 piece of candy. It was a fun and productive day.

If you have never used Kahoot! it is great for all subjects and grade levels. You can create your own reviews or you can do a public search for ones that have already been created. There are sometimes mistakes in the public reviews but I just use them and then address any mistakes as they come. My husband showed me last year where the writers of the Kahoot! website even recommend you have students to create their own reviews for the class to play. That is also a great way to see if your students have a clear understanding of the material. Last year I had the students to use their own smartphones. There is a code that they use to log into the game - they do not have to have an account to play. I let students share if they needed to. Today I had 9 ipads for the students who didn't have smartphones so it went great!