November 3, 2017
Sam's 4-6th Math Class
This week we focused on the coordinate plane. Many students were familiar with number lines; introducing the full coordinate plane requires introducing negative numbers (which most students had not worked with formally before) and moving from one-dimensional to two-dimensional thinking. This can be a rather dry conversation, so instead of lecturing on the topic, we talked about the basic ideas and then transitioned right into an activity: making a picture from a set of points--basically an advanced form of connect the dots, but the students had to put the dots in the correct place. After they finished the initial exercise, everyone made a coordinate picture of their own by reversing the process used to make the kitty cat--first make the drawing, locate the important points (places where the line changed direction--vertices), and then right out the list of points as line 1, line 2, etc, so that someone else could recreate their picture.
|Here is one a child made in class if you want to try it at home.|
Algebra and Pre-Algebra
We have also been doing quite a bit of graphing on the coordinate plane in the ⅞ math classes. The Completing Algebra group worked on some basic exercises in linear programming as an application and review of graphing systems of inequalities. The Beginning Algebra group is just starting to work with linear equations in two variables and this week talked about graphing lines from an equation by finding points and a little bit about intercepts and horizontal and vertical lines. They also had a brief “pop” quiz, which will be a recurring feature of the class. [One of my professional concerns about timed assessments is that the goal of any timed assessment is to get as many points as possible, not to answer the all questions correctly, our students need practice switching their mindset before being asked to take many timed assessments in high school.] The Pre-algebra group continued their work with linear equations in one-variable.