Closed schanzer closed 1 month ago
@schanzer I didn't get as far with this as I'd hoped. Given that our slider explorations are already pretty laborious and long, I'm not sure that adding h
in a meaningful way is useful.
I'm also struggling with how to write (x-h) as an exponent in asciidoc. I've pushed this commit which I mistagged to 2092.
Perhaps you can help with the exponent. Also curious what you think about the beginnings of wording I pushed declaring that h is in the standard form, but is commonly zero so we won't be investigating it.
@schanzer Here's a draft of horizontal and vertical shift sliders for you to react to the utility of.
@flannery-denny thanks for drafting this!
@schanzer Here's a new draft I've incorporated your feedback and made 5 slides focused on linear functions. If you like these, I'll add them to the linear modeling lesson.
Your suggestion for curves didn't make sense, because there's now way to hide the function definition for the reference line. I've proposed an alternative. If you think these are useful, I'll make the comparable slides for the other kinds of models.
Interesting that you found the tables distracting. I intentionally sought out a way to reveal the tables, because I wanted to be able to look at the patterns through that lens. And, if you don't show the tables, the lines don't have any points marked, which sometimes makes it hard to tell whether functions actually are lining up. I've added a note to make them optional - does scratch the itch?
@flannery-denny you can hide any folder you want. I would make a folder for each slide, and then put the reference curve and the associated tables inside of it. Then hide that folder from kids.
I still don't like the fact that you have two different movable lines. Let's just have ONE line with both sliders active, and challenge kids to match the reference line using each slider individually. "Can you match the reference line using only h? Only k? Do you need to use both?
@flannery-denny just noticed that you wanted me to look at the DRAFT, not the published exercise. Cool! Just one movable function.
I went ahead and copied slide 7, so that slide 8 could be an example of what I mean.
@schanzer I've updated the Desmos deck to include slides like the one you made for each of the other function types and moved my two exponential function explorations to the end of the deck for reference since they're attempting to do something different.
The challenge and directions on the slide you made don't really capture my interest and I'm not clear why all three of those questions are really worth students time. Look forward to chatting about them or seeing what you do with them. I've added incorporating discussion of horizontal shift into lesson plans to #2092 and think any further conversation about this deck belongs over there as it doesn't really fit under the scope of this issue.
Thanks for pointing out that I can hide any Desmos element I want to by making folders. Personally, I don't understand why you're so insistent on hiding these tables. As I mentioned, I wanted to see them for my own exploration and I think that there are plenty of students who like being able to see the coordinates of the points as they search for patterns.
@flannery-denny looking forward to talking today. I think neither of us is fully understanding the activities designed by the other, so talking out it live will be the most efficient.
@schanzer I think that other than the exponents and f(x) font not rendering correctly this is done. I have one more lesson plan to check tomorrow, but no more workbook pages after the one I made the separate issue for.
Linear Models: f(x)=m(x-h) + k
Quadratic Models: f(x)=a(x-h)^2 + k
f(x)
andg(x)
workbook pages
Modeling Fuel Efficiency v. Speed
f(x)
andg(x)
for greater consistency.Exploring Fuel Efficiency
workbook page usesf(x)
lr-plot
actually returnsy=
and we don't have students save this in pyret. Should we change the workbook page to usey
andy(x)
?What kind of model
use this form. Should we change that?NOTE: I had actually already avoided using b or k in the workbook for this lr-plot. Maybe we could use this strategy consistently throughout our materials!![Screenshot 2024-07-16 at 12 59 51 PM](https://github.com/user-attachments/assets/5f1657d2-9eee-4bba-95c6-1ef7d238e992)
*Exponential Models: f(x) =ab^(x-h) + k**
*Logarithmic Models: f(x) = alog_b(x-h) + k**
Desmos
f(x)=mx + b
for the transformed line... Decided we have to leave it because there's already enough cognitive loadPeriodic Models: f(x) = asin(b(x-h)) + k