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Well, the TI-83/84 are called a graphing calculators for a reason: you can plot equations and datasets with them and look at them right there[1]. Looking at graphs is huge for learning, or at least it was for me, and school isn't just about plugging things in and getting an answer (or shouldn't be, at least).

Doesn't mean it's not overpriced, but that's one reason and you can get a used TI-83/84 for like $30 or less. They pretty much never break.

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1. Okay, the Casio can QR-code-link you to a graph, but if I have internet/smartphone there are better graphing tools anyway, like Desmos.

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casio can do graphs on device for under $40

https://www.walmart.com/ip/Casio-FX-9750Glll-Graphing-Calcul...

The reason you can get used ti's for $30 is because that's how much they're actually worth.

You can get a catiga if you really want for like $17: https://www.aliexpress.us/item/3256809054964211.html

... or you can go with TI for $160 ...

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I mean a laptop running windows can use the old power toy calculator or something like speed crunch to do graphing and I'm sure Linux has countless others, with Chromebooks probably having more for free online as well, I can only assume.
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My favorite cheap Casio is fx-115ES Plus 2nd Edition, $17

https://www.amazon.com/Casio-fx-115ESPLS2-Advanced-Scientifi...

Includes GCD and LCM, some of the newer ones don't have them.

If you want graphing, there is the newish fx-CG100 has a nice display, but they removed Casio basic, it now only has micro Python (way too awkward to type on a tiny keypad):

https://www.amazon.com/Casio-ClassWiz%C2%AE-Calculator-Funct...

The older ones that still have basic:

https://www.amazon.com/Casio-fx-9750GIII-Graphing-Calculator...

BTW, here is a review I made of many calculators, measuring keyboard efficiency: (HP-15c still the best)

https://github.com/jhallen/calculator/wiki

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I agree with you on the Casio fx-115ES Plus 2nd Edition. I picked one up two years ago for $11.41. It naturally writes out equations, has a backspace and is generally excellent. I still love my HP RPN calculators, but the fx-115ES works nicely for anyone who isn't using RPN or sympy.
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Also a +1 for this calculator, it's really the best scientific calculator you can buy and a steal at the price it sells at.
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If you count basic calculus as high school level, TI89's can do symbolic integration. They're usually banned on tests for that exact reason tho.
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The TI-89's have the same shell as the TI-83. I took the shell off the 83 and put it on the 89 as well as replacing some of the buttons.

I used this on tests that banned the TI-89.

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Can it do anything non-trivial? The algorithms for symbolic integration are extensive.

My Casio could do numeric differentiation and integration. I used this to double check my answers in my exams.

In fact, it still can as I still own and use it to this day.

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It's quite good for what it is. Of course it will lose to Mathematica but I used mine heavily throughout physics to derive things symbolically.
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International Baccalaureate math has some stats questions that require a calculator that can do stats questions. Not really possible by hand in exam conditions!
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My Casio FX-260 Solar IIs [1][2] (I recently bought 3 more of them) cost me $5 CAD a piece on clearance at Walmart. No battery, a modern solar panel that works great even in dimly lit rooms, and a modern SOC with all the standard scientific calculations, scientific notation, engineering notation, significant figures, and all the basic stats calculations too (sum, mean, pop stddev, sample stddev, permutations, combinations, factorials).

It’s my favourite calculator and the one I always reach for, despite having a bunch of more complicated 2-line calculators etc. It’s just so easy to use and very fast to do anything I’d want with a calculator. If I need graphing I’ll reach for Desmos. If I need algebra I’ll use Sage. I haven’t used Sage since my undergrad, however.

[1] https://www.casio.com/content/dam/casio/product-info/locales...

[2] https://www.casio.com/ca-en/scientific-calculators/product.F...

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The basic $12 Casio scientific has stats like mean, standard deviation, regression... Stats is a huge field, we're talking highschool level. I think it probably covers it
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Oh that’s neat! Probably should’ve checked your link. Not sure what the advantage of the Ti-84 would be for highschool math, but the UX on NumWorks calculators is completely a game changer, especially with stats and graphing questions.

Maybe everything is possible on the Casio, but it’s so much clearer on the NumWorks (especially for eg. Physics questions, where you might want to retrieve values you calculated earlier with full precision, etc). Genuinely felt like a cheat code when I was in highschool. I showed mine to my teacher and they swapped the whole’s schools standard calculators from the Ti-84 CE to the NumWorks, which is cheaper too.

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I mean sure. Unlimited precision calculation I don't think is the proper domain of the cheap desk calculator.

I mean what do these do? I think like 10 digits worth?

If you're actually doing something requiring over 10 digits of accuracy and you can reliably hit that you probably have a $10 million lab...

So honestly what are we talking about here...If it's pure mathematics this is a bad tool for that as well.

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oh of course. But I meant being able to select a result or equation from 10 minutes ago in the calculator history without re-typing it!
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IB questions require at least a mid-range calculator to obtain e.g. the ccdf of chisq, t, and other distributions.

In the exam, you'd also be at a disadvantage without advanced graphing.

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HL or SL? (It's been a while for me, but I know I needed PDF/CDF functions... and I don't know about the optional modules/Further.)
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I took Math AA HL in M25
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The contrived ones where they make you graph stuff, but that’s about it.
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There is no graphing problem that you'll be asked to solve before university that can't be plotted to a 'good enough for high school' level by hand in seconds.

Four data points is sufficient to give you a 'good enough' shape and position of a second-degree polynomial. Five or six for a third-degree one. (And you barely see them, and don't learn how to algebraically solve for their roots in high school anyways, because the cubic factoring formula is a pig.)

If you can't tell what a function's plotted shape is going to be at a glance, you haven't learned the material to the degree expected of an attentive child.

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Life is not all about solving problems, high school life even less so.

Personally, I found great enjoyment in coming up with more and more involved plots in the Polar and Parametric modes, where yes I would predict what a graph would look like and then go over to see it. And then go back and iterate. Etc. Until I was painting pictures with functions and had a far greater understanding of the domain than I’d wager anyone who thinks graphing calculations are for finding roots of polynomials could imagine.

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You can enjoy that as much as you want without the curriculum mandating or all-but-mandating that every student buy a $160 toy.
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This is nonsense. Kids are not expected to look at polynomial equations and be able to deduce the shape of the graph without a graphing calculator. Besides, it is expected that a student can use a graphing calculator to be able to numerically solve for a root of arbitrary polynomial equation.
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> This is nonsense. Kids are not expected to look at polynomial equations and be able to deduce the shape of the graph without a graphing calculator

It is not nonsense. I'll draft an example.

Any second degree polynomial is a parabola that is either pointing up (positive a term), or down (negative a term). That term is an indication of how curved it is.

-b/2a is the X coordinate of the parabola's inflection point.

Plug that value into the equation and it'll give you the Y coordinate.

You now know the inflection point of the parabola, you know which way it points, and how steep it is, and exactly where the polynomial's roots should live (and whether or not it has any real ones!). If you remember what the squares of 0.5, 1, and 2 are, you can now connect the dots on a 'pretty good' plot.

This took yuo longer to read than it takes to do.

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Similar transformations can be applied to sine waves, root functions, exponentials, logarithms, and reciprocals.

If you can't do this, or don't understand how to do this, you have not learned and understood the material. If all you've learnt is how to plug the formula into a magic $160 box to look at the pretty picture, and how to ask it to solve for roots, you and your teachers have wasted your time. The point of all this isn't looking at plots, the point is understanding how you can manipulate these equations, and what these manipulations do to them. This should all be drilled to the point of being intuitive.

Anything so complicated that basic algebraic manipulations won't get you the rough shape in seconds of work... Is more complicated than a high schooler is taught to solve.

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Most of those are counterfeit knockoffs and the buttons are unreliable. It's safer to buy an older, pre-VPAM variant of the 300 or 991 models.
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You can turn off VPAM though, why would you not want it?
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I'm personally a fan of the ti-30xs. Still cheap and a good number of features for looking at data
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Generating a QR code to see the graph online is kind of cool, but also kinda dumb too.

I mean, these days kids have smartphones, what's the point of a graphing calculator?

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Ironically builtin smartphone calculators are really bad, and one of the best ones you can download might be Graph 89 (a TI-89 emulator).

Rant/Aside: Smartphones (or at least Android) are just generally really bad at being... smart, especially out of the box. No dictionary? No thesaurus? To say nothing of built-in encyclopedia (e.g. Wikipedia). Calculator worse than the $1 scientific ones? It's astounding how obvious it is that they're meant to dumb people down and just sell you crap when you look at the complete absence of basic functionality anyone from 50+ years ago might expect them to have.

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>kids have smartphones, what's the point of a graphing calculator?

Many tests will not allow you to use a smartphone. My son couldn't even use the school issued chromebook on his PSAT, he had to get a loaner Windows laptop or use an approved hard calculator.

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I'm with you. Some open source app is all they need.

However to answer your question: phone rules in classrooms vary enormously and the dedicated calculator is faster to interface when you're drilling problems in a homework setting

I finished highschool in the (gasp) 20th century so the modern classroom is certainly something I've had to learn

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> Show me a highschool math problem you can't do on a $12 Casio scientific like the classic FX-300MS

There isn't one.

The TI-83 is just a $160 tax on every high school student. There is precisely zero use in a graphing calculator before university.

If you ever need a plot of literally any function you'd be plotting in high school, you should be able to do a very quick, very rough approximation by hand. If you can't, you haven't learned the material.

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Graduated high school in 1984, I don't think graphing calculators existed then but if they did nobody had them. Standard "scientific" calculators were what I used for all my high school and university math.
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