Signed Numbers

It seems Khan Academy (henceforth referenced as KA) has a pretty bad rap in some math teacher circles.  I understand that the videos are somewhat lacking in the engagement factor, and motivating students with points and badges can seem somewhat elementary.  I also see that KA tends to focus more on a procedure/pattern than actual problem solving.  All that said, I will be using KA this year in my resource classroom.  I have a group of students that are in my class for numeracy skill building/strategies instruction.  I'm supposed to be teaching them 25 mins/day and allowing them 25 mins/day to work on their homework or classwork.  I have students of all grade and ability levels in one resource class, so lesson planning becomes difficult.  Twenty-five minutes is not a long time when you think about it, seemingly less when you think about real problem solving tasks. Enter KA.  Each student can be working on exercises related to what their indivi...

...is what it felt like in my Algebra 1 class on Thursday. We had been making major progress Monday and Tuesday looking at function machines, finding outputs when given inputs and a rule, finding a rule and predicting outputs when given several input-output pairs. Then Wednesday we didn't have class because of standardized testing being done at school (Stanford Achievement Test-10...it has Deaf/Hard of Hearing norms so we use it every year to see how our students are improving with respect to their same aged d/hh peers). Thursday it was as if Monday and Tuesday had never happened. While one student was trying to figure out the rule (2-step) for the table he had completed, two other students were struggling trying to complete the table. I had felt confident after Monday and Tuesday because this year I was actually talking about the functions and talking about the rates of change of the input and output, how they were related to the equation, how they related to each other, etc. (...