S got solutions of 6 (true) and 27 (extraneous) as solns to radical eqn.
S: Why is that? Why 27?
Me: Ooh! Let's pull out @Desmos and see if we can figure it out! (afterward, algebraically)
LOVE it when S curiousity shows up even on a review day.
#iteachmath@StoonPubSchools
Ya’ll.
Just submitted my final assessment for the last course of my last bachelors degree.
We’ll see if I can last a year before looking at masters courses.
Major mathematical wanderings in PC20 today
Started with Geo sequences
Got into fibbonaci and phi
Deductive reasoning, proofs
Now one of my S is using her break to see if 47 is evidence for or against the collatz conjecture
#win#iteachmath@CityParkSchool@StoonPubSchools
Having WAY too much fun RN giving feedback to Ss on:
If I paint a room by myself, it takes 3 h.
If my brother paints it, it takes 4 h.
How long if we paint it together?
One S has (unknowingly?) connected geo. series and rational eqns.
PC20 win!
@CityParkSchool#iteachmath
One of my fav things about @CityParkSchool:
Kids of all ages appear in my room asking, "Can I ask you about something about math?"
SUCH FUN to think alongside people from a variety of places.
@StoonPubSchools#iteachmath
PC20 today: All S solved a system algebraically. Half got one Soln set, half another. They switch work and identify differences in strategy. Good conversations ensue.
Later, S confesses "I verified. I couldn't take it anymore."
I'll take that win!
#iteachmath@StoonPubSchools
S quote from today in pic.
This is why I love starting quadratic fns by getting S to sketch a few graphs using TOVs for fns in vertex form.
So many great observations just get said aloud with no prompting.
@CityParkSchool@StoonPubSchools#iteachmath
A prompt I’m proud of: (PC30)
Sketch the graph of a fn that will not change after the transformation y=f(-x) is applied. Can this also be done for y=-f(x)? Explain why or why not.
Resulted in great S reasoning and articulation.
@CityParkSchool@StoonPubSchools#iteachmath
PC20 Sequences & series
I ask Ss (in their at home work) to create a sequence that is neither arith. nor geo. and explain their rule.
So far exponential, quadratic, factorial, periodic patterns.
I can't resist finding multiple representations!
@CityParkSchool@StoonPubSchools
Logarithmic growth sounds like this:
"What? We doubled the height, and the time it took for the ball to fall barely changed!"
Today my Ss rocked their way through 2 regression labs, courtesy of @NatBanting and Steve Vincent of @TommyDTigers.
@StoonPubSchools@CityParkSchool
Finished off the quint in FPC10 by measuring this inaccessible height in the @CityParkSchool commons.
What did we learn?
Make sure your calculator is in DEG.
@StoonPubSchools
At the start of class today:
Asked Ss to predict opp side, given hyp = 70, angle = 50, as compared with angle = 30.
One S whips out his calculator and declares, "It's gonna be 64% of 70."
Blew me away. They GOT this.
VP: How was today?
Me: Awesome, I got to intro trig
VP: I don't see how thats possible
Had Ss draw triangles and calculate ratios BEFORE giving them formulas and labels. Noticing patterns, making predictions, being curious is awesome.
#mtbos@CityParkSchool@StoonPubSchools