Showing posts with label matrices. Show all posts
Showing posts with label matrices. Show all posts

Tuesday, October 8, 2013

Matrices, teamwork, success!

Today the focus in our Matrices unit was learning how to use our calculators to solve systems using Matrices.

I decided not to give direct instruction.  Instead, I found this perfect handout on ILoveMath.org outlining in minute detail how to do exactly what I wanted students to do ... enter the coefficient matrix, enter the constant matrix, and then set up the product of the inverse of the coefficient matrix and the constant matrix.

I put students in groups of 3 or 4 and gave them all the handout.  Included were 6 systems, 4 of which were 3 x 3; and then also a set of five word problems.

Before they began working, I asked teams to brainstorm elements of teamwork in math.  Every team offered an element.  We put them on the board and we agreed that we would work with those elements in mind.  Most classes offered elements like these ... in the pic.

Students read the detailed instructions, and worked through the plain problems.  They checked their work with my key.  Then they worked together to solve the word problems.  If the whole team got stuck, they could ask questions, and I offered to counter their questions with questions.  In a few instances I had to offer more assistance than questions.

Students worked for about an hour in their teams.  They all learned to use their calculator to solve matrix equations and worked 11 problems.  I was freed to help those that needed me most.  A great day for sure!

Sunday, September 22, 2013

Matrices ... how to teach the nitty gritty

I'm working on lesson plans for our next unit ... which is on Matrices.  In past years students have only been taught how to solve them on their calculators.  I'm glad we are going to teach them a bit more ... how to add, subtract, multiply by a scalar, and multiply matrices.  Then we have been asked to teach them how to solve a system (2 x 2 only) using matrices ... using the determinant and inverse.

Here is my plan.  I'd love to hear your thoughts ... trying to make what seems to be difficult and obtuse concepts real for my students.  I don't usually use fill in the blank notes but this time around they seemed useful.

We are starting with an Oreo question ... in hopes to soothe (smooth) the path to the work.