Thursday, 6 June 2019

Add Them Up - Equations of Line

I wanted to do something a little different with my grade 9 class as they prepare for EQAO and their final exam. My plan was to focus on equations of lines so I made some "Add Them Up" questions. I formed random groups of four students by having them draw playing cards and each group received the same sheet. On it were four different versions of the same question. Each group member worked on one question (they took small whiteboards for this) and when they all finished, the sum of their answers was written in the centre. This makes checking answers easy for me and forces the group to find mistakes if the sum is incorrect. Here is the first one:

I made five of these, with the level of difficulty increasing each time. Here is the last one:

I photocopied these on five different colours of paper so that I could easily tell which one each group was working on. I was surprised by the number of mistakes, though many came up when they had to add fractions to get the sum of their answers. Fractions are hard. I purposely made many of the answers fractions so that they would be forced to practice these skills. As it turns out, some were really "ugly" so I have edited them and they are now more reasonable.

I was really impressed with my class - they helped each other and taught each other and worked as teams in the best way. I answered very few questions, although I didn't stop walking around and checking in with the groups the entire class.

Here are all five.

Thursday, 28 February 2019

Grade 9 Academic - Day 16

Tomorrow is test day so today we did review stations. But first, I took up a question from homework that many were doing incorrectly. 

A number of students had not put the 5x + 7 in brackets so we talked about how that was not optional. The other brackets you see above were added after when a student asked if you could do that.

Then I explained how review stations work. There were brightly coloured sheets around the room with questions from an old test on them. Students would be randomly paired up (using cards) and each pair would pick up an answer sheet. They would work on the big whiteboards, transfer their answer to the answer sheet, and bring that to me to see whether they were correct. If so, they got a sticker, if not they got to try again. If they were incorrect a second time, then I went over the question with them. 

They were so keen! There were a lot of errors but no complaining. They just got back to work and figured things out. Lots of perseverance. There were high fives and hugs. Crazy good.

Given that tomorrow is then end of unit 1, this is the end of my blog posts. I'll still post when I do things that I think are worth sharing, but I think it's clear that I don't do that every day! Thanks for reading :)

Wednesday, 27 February 2019

Grade 9 Academic - Day 15

We started with this warm up:

This was a challenge for many, but at least as many got the correct answer on the first try. The biggest issue seemed to be that if they did not simplify the fractions before multiplying, the numbers got big fast. And then it was too overwhelming to continue. We spent some more time going over this concept. Hopefully it sticks.

I had noticed some issues with certain homework questions so we tackled those next.

They continued to work on the practice test while I circulated and gave one-on-one help. I had planned on taking it up with them, but time did not allow. I have posted the solutions and hope that they will check their work tonight. We did work on one question together as many students were struggling to start it.

I found it really interesting that using letters actually made the question more approachable for many students. There were simply too many numbers for them to parse through, but once they replaced the bases with x and y, they were able to complete the question.

I also handed out "I can" statements. These are statements written in fairly friendly language that let students self-assess what they know. I'm sorry that the picture below isn't very clear.

Tomorrow we will do review stations!

Tuesday, 26 February 2019

Grade 9 Academic - Day 14

The sun is shining, the power is on and we had lots of math to do today. We started with this warm up. The intent was to highlight the power of simplifying before multiplying fractions.

I had made an agenda for the day, mostly to keep myself on track, and still managed to go out of order right from the start (sigh). 

We jumped into the practice test. I am hoping that seeing the format of a test (3 page booklet) and the types of questions from this past test will help ease some of their anxiety on Friday (test day). I asked them to quietly work on it for 30 minutes. Some skipped questions that they didn't know how to do, while others zipped through it. I did not expect them to complete the test in this time, but wanted to break up the time to allow some conversation and learning to occur. At the end of the 30 minutes, they chose cards to organize themselves into random groups, and went to the big whiteboards to compare answers. There were some really good conversations going on and many misconceptions came to light. Some of the questions could have multiple correct answers so it was great to see them checking each other's work. During this time I circulated and made sure the mathematics was correct and answered questions. 

I saved the last 10 minutes of class to talk about vocabulary. I had made a handout for them which we took up.

I think we are making progress. They are willing to talk about their mistakes with classmates and ask questions when things are clear. With a couple more days of review work I hope things will go well on Friday.

Monday, 25 February 2019

Grade 9 Academic - Day 13

Amid power outages due to ridiculously strong winds, we tried to put the material from this unit all together today. We started with the warm up from Friday's group work:

The discussion around this was really interesting and many struggled to correct the work so that the answer was correct.

They spent the next ~30 minutes working through this handout individually. I told them the goal was for each of them to figure out what they still need to work on. We spent the rest of the class working through each of the examples. Other than the vocabulary, we finished it all!

Friday, 22 February 2019

Grade 9 Academic - Day 12

I turned yesterday's quiz question into today's warm up. They worked in random groups on the whiteboards. I reminded them to introduce themselves as not everyone has worked with everyone else yet.  To avoid repetition for those who completed the question on the quiz, I had each group draw the simplified expression for each of their questions.

Here are a couple of samples of their work:

I have saved this one as the warm up for Monday - a little error analysis.

I love hearing their conversations while they work. "Two Nice Things" was overheard at some point, which means that they are listening to the words they choose and realize that they matter.

I returned their quizzes and circulated for the remainder of the period answering questions as they worked through a handout. Several students are also planning on coming in at lunch for a little extra help. I love that they are starting to get comfortable asking questions and want to improve their understanding.

Thursday, 21 February 2019

Grade 9 Academic - Day 11

Today's recall was more work with fractions so I thought it would be fun to do a warm up from Fraction Talks. I asked them to show multiple ways of finding the answer.

I was pleased that they seemed comfortable working with these fractions and showed flexibility when looking at how to regroup the shaded parts.

We worked on multiplying and dividing fractions next. Though I tried to channel my inner Fawn Nguyen, I sucked. Oh my, it did not go well. I did a lousy job when answering questions. My explanations were not good. I need to work on all of this... But this is what we did:

I know that I have the luxury of being able to just move on. My students already have tools for working with fractions,. Many of those tools are memorized, not understood, and I was trying to work on that. Sigh...

We also did a few more examples with distributive property and exponent laws. They groaned when they saw the second one, but did a good job nonetheless.

Despite knowing that it wasn't a good idea to give the quiz I had planned with only 15 minutes remaining, I did (why do I not listen to myself sometimes???). Many students continued the quiz into lunch which I appreciated. I think I will start tomorrow with the last question from the quiz, in random groups at the big whiteboards. Here it is: 

"Martha simplified an exponent rule question and ended up with the answer -2x²y. What could the question have been? Determine 3 possible questions with this answer that demonstrate each of the exponent rules."

I am hoping to see a lot of creative answers that push their collective skills forward. And I will work on my lack of skills teaching fraction multiplication & division...