Thursday, October 13, 2016

Shifting Times Tables from @nrichmaths

One of my favorite summer finds was the Shifting Times Tables activity on nrichmaths for helping kids to see the connection between proportional and non-proportional sequences in building toward writing linear equations in slope-intercept (y = mx + b) form.
In keeping with the same idea of the activity, I wanted to have students making connections to graphs and have access to things like sliders so I converted it to this Desmos Classroom activity.

I do make the assumption that students in this activity have previous experience with proportional relationships in graph and table form.
I'd love feedback or ideas of what I could do to make it better or have students make stronger connections.

Tuesday, October 11, 2016

Independent and dependent variables with @Desmos classroom card sort

Today we did something cool with the Desmos classroom card sort lab. I wanted students to be able to identify an independent and dependent variable pair relationship and then determine which one was the independent (IV) and dependent (DV) by dragging each card onto the appropriate label.
I quickly realized how a tool like this can be used for a formative assessment when I displayed the teacher page on the screen for students while they were working. 
It doesn't tell them how they are incorrect but they were working hard to analyze where they were going wrong to try and get their name on the screen to go from red to green. Students either self-corrected or asked for help while others that completed the task moved on to the next screen in the activity.
On the next screen I had them move the pair relationship to a potential graph for the situation--same thing, anticipating a correct stack and giving feedback to kids that weren't there yet.
And finally, using the draw tool giving students a voice to disagree  with the predetermined graph for each set of cards if they feel like it doesn't fit with how they see the situation.
And of course this can always happen but you address it with those kids and continue to provide fun opportunities like this for kids to think deeper and interact on a more personal level with math.

Tuesday, October 4, 2016

Using @Desmos to generate pythagorean triples

Early stages as far as how I'd use this with students but definitely some fun math to investigate here through Desmos related to generating pythagorean triples in a coordinate grid.
Things I notice:
When gcd(m,n) = 1 we have the primitive pythagorean triple, when gcd(m,n) > 1 we get a triple similar to a primitive triple.
Things I wonder:
How could I get spirals to show up in desmos like those in this wikipedia article?