Sunday, January 10, 2010

Algebra 1: Representations of Linear Equations

Increasing my students' representational fluency has been something I've been working on for a while.  Our second semester started last Monday, and to start my Algebra 1 students off easy, I had them do a four-fold poster of a linear relationship to review what we did last semester: situation, equation, table, and graph.  They did the work fine overall, but quite a few students had more troubling questions than I had expected (i.e. "how do you make a table?").   I guess it just shows that we have to keep going through these different representations and their connections again and again.

We have started the new unit - working with linear equations - in which students have to write the equation of a line given its slope and a point, or two points, or a point and a parallel line.  In the past, I have done this only algebraically (except for the initial explanation of concepts); this time around, the students will have to practice the problems both algebraically and graphically.  And, more importantly, the skills tests will require them to show mastery with both methods.  Let's build those connections!

Here are the first few lessons in the unit.

Lesson 1 (Representations of Linear Functions)
Lesson 2 (Graphing Practice)
Lesson 3 (Write the Equation of a Line)
Lesson 3: Keynote / Powerpoint

And some snippets from the worksheets to illustrate what I am talking about:



daisiesnlilacs said...

Looking at your lesson 1 for this posting, how do use the Classwork sheets that are listed Basic Level and Proficient Level?

Dan Greene said...

Those are part of my initial stabs at differentiation this year, but it's something that still needs a lot of development. Students are able to choose what level they want to work at. I wrote about this more in detail in a previous post.

Sean Karsten said...

I want my 8th grade students to create something similar to this on Monday. What a timely post. Thanks for the great picture, too.