Monday, February 8, 2016

Day 97: y=mx+b review, generic rectangles to factor

Today's estimation was a second industrial hose. This coming after seeing a 50 foot garden hose compared to the same let the industrial hose. I loved hearing the talks of how to do one and a half times 50 feet. 

Since there was a rally 2-3 and we were on a Wednesday schedule short periods I explicitly told students what I wants them to investigate. We discussed switching m and b in y equals my plus b. 

Then students observed a graph with a negative slope and a line ordered that was a positive slope. Student explanations were great.  

Thirdly I wanted students to graph 2x-8 and explain how to do so without a table. 

Lastly students solved for y in multiple ways and graphed it. We saw how one method is more efficient than another when solving for y in 2x-y=4. 

Students were assessed on a point on a figure that was  transformed, scale factor, and a scatter plot.

Here you can see their learning goal and success criteria. This student added y to both sides, then subtracted 4 from both sides.
In this class they subtracted 2x from both sides then multiplied both sides by -1.
Here we had a mini number talk on the multiply ways to multiply 1 and a half times 50.
In accelerated students used tiles to factor 2x^2+5x+3 below. Then they saw that for a generic rectangle the first and last terms make up 1 of the diagonals. Then middle term is broken into 2 terms and placed in the other diagonal, as long as the product of the diagonals are equal. This is where students saw where making a diamond of the problem would help getting the middle terms that made up the second diagonal.

On Monday we will review this method, and also take notes on vocabulary for fractional exponents because half the class is confused about it.

1 comment:

  1. I really like this method as well. I had never thought about teaching the box method (generic rectangle) with the diamond together. I use the box method when multiplying complex numbers and when teaching polynomial division. Thanks for the link to your blog! I enjoyed reading.