Review, Justification, and Critique

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SWBAT critique solutions to linear equations and justify the solutions to others.

Big Idea

A recipe for critique: "I like how you did this and that, and here's what I think you should change..."

Opening: 15 Minutes of Work Time

15 minutes

As the week comes to a close, students should have completed the Creating Equations Problem Set. Their last chance to submit it is tomorrow, because that's the last day of the marking period.  In any implementation of mastery-based grading, we can give the students as much time as possible to learn and to demonstrate mastery, but still, when grades are due, I have to use what I've got.

If that's done, which it is for about two thirds of my kids, then the focus is on preparing for tomorrow's exam by asking questions and making Cheat Sheets.  I tell the class that in 15 minutes, we'll get started on today's Critique and Justification Quiz.

Quiz: Critiquing and Justifying

28 minutes

This quiz is an assessment of Mathematical Practice #3:

I can construct viable arguments and critique the reasoning of others. 

I want to assess this one more time, because I know that students are better at this than they've demonstrated on the Linear Equations Project.  I want this to be separate from the exam.  I don't frame like this for kids, but for me, the Unit 1 Exam really begins now, and this is like Part 1.  Then, they can focus on the other SLTs tomorrow.

Because sometimes it's easier to write mathematics with pen and paper than on a computer, I use a document camera to post one task at a time, and for each task I give students a few minutes to work.  I give them between 2 and 5 minutes, depending on the task.

First, I post these instructions.  I tell students to look at their progress reports or to find on the walls of the classroom Mathematical Practice #3, and to copy it onto their papers.  That's what I'll be grading them on when I look at these quizzes.

Then, for two to three minutes each, I post a selection of the following problems:

I may choose different problems for each class, depending on their different levels of skill, and for each class I do two or three of these.  When I put up the first one, I say, "Here's what good critique sounds like: I think you did a good job on blank and blank, and here's what I think you can improve..."

After a few of those, we move on to the justification part of the quiz, which is identical to the Linear Equation Project, just on a much shorter timeframe.  I ask students to do one or two of these, again, selected based upon how confident I know each class to be.

I time things so students can have the last 5-10 minutes of class to work on whatever problem comes last.  Just before the bell rings I remind everyone of tomorrow's exam and to make great cheat sheets.