Rotate

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(C)Copyright 2023, C. Burke. "AnthroNumerics" is a trademark of Christopher J. Burke and (x, why?).

And do it often. As recommended.

We're in the Transformations chapter of Geometry right now, so these are coming to mind more readily. Plus they are easier to create than some of the more involved or elaborate jokes waiting in the queue.

P>Dated yesterday because it was supposed to have been posted after my book club meeting. It was not.

Opinions always welcome. Spam is not.

I also write Fiction! You can now order Devilish And Divine, edited by John L. French and Danielle Ackley-McPhail, which contains (among many, many others) three stories by me, Christopher J. Burke about those above us and from down below. Order the softcover or ebook at Amazon. Also, check out In A Flash 2020, by Christopher J. Burke for 20 great flash fiction stories, perfectly sized for your train rides. Available in softcover or ebook at Amazon. If you enjoy it, please consider leaving a rating or review on Amazon or on Good Reads.

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Dilate

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(C)Copyright 2023, C. Burke. "AnthroNumerics" is a trademark of Christopher J. Burke and (x, why?).

Better than Die Now!

They are both dilations. However, when the scale factor is less than 1, the image is reduced in size.

Happy Valentines Day!

It wasn't my plane to stop celebrating specific days, but I seem to be lucky to get in the comics that I plan without having to plan some extra ones for special days like today and the Super Bowl. Oddly enough, or evenly enough, when I kept to a regular schedule, I was forced to observe these if only as filler, but sometimes I got good jokes that way. Now I'd just like some more time. (My commute is a bit of a killer, even when I'm not out walking for an hour or two.)

I also write Fiction! You can now order Devilish And Divine, edited by John L. French and Danielle Ackley-McPhail, which contains (among many, many others) three stories by me, Christopher J. Burke about those above us and from down below. Order the softcover or ebook at Amazon. Also, check out In A Flash 2020, by Christopher J. Burke for 20 great flash fiction stories, perfectly sized for your train rides. Available in softcover or ebook at Amazon. If you enjoy it, please consider leaving a rating or review on Amazon or on Good Reads.

Come back often for more funny math and geeky comics.

Daily Reflections II

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(C)Copyright 2023, C. Burke. "AnthroNumerics" is a trademark of Christopher J. Burke and (x, why?).

It's a nice reflection on me!

Yes, I did a comic-y one of this idea many, many years ago. But this is a photo of something that actually happened in class only a few years ago.

The comic is dated Saturday because it was supposed to update on Saturday. It didn't. Things go wrong. And I'll reflect on that, too.

Your opinion is still welcome. Except for it's not. (cough cough SPAM cough cough)

I also write Fiction! You can now order Devilish And Divine, edited by John L. French and Danielle Ackley-McPhail, which contains (among many, many others) three stories by me, Christopher J. Burke about those above us and from down below. Order the softcover or ebook at Amazon. Also, check out In A Flash 2020, by Christopher J. Burke for 20 great flash fiction stories, perfectly sized for your train rides. Available in softcover or ebook at Amazon. If you enjoy it, please consider leaving a rating or review on Amazon or on Good Reads.

Come back often for more funny math and geeky comics.

Translation

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(C)Copyright 2023, C. Burke. "AnthroNumerics" is a trademark of Christopher J. Burke and (x, why?).

It's a MEM'E'.

I did this one for class and then realized that I could replace Pam Halpert (played by Jenna Fischer) with my own character. I went with Annie because it seems more her personality. Actually, I'm not sure what Barbara's personality is. I need to use her more to figure that out.

Obligatory Math (ObMath): When you translate a line, one of two things will occur. The image will either be parallel to the given line, because slope (orientation) is preserved, or you will get the same line because it is moved onto itself. If the number of units in each direction in the translation matches the rise and the run, the images will be points on the original line.

What's your opinion? Once again, I promise I won't delete it. Unless it's spam. Or rude. Or ...

Well, what's your opinion? We can go from there.

And, yes, it's the same comment.

UPDATE: Here was the original meme that I was going to use in class:

I also write Fiction! You can now order Devilish And Divine, edited by John L. French and Danielle Ackley-McPhail, which contains (among many, many others) three stories by me, Christopher J. Burke about those above us and from down below. Order the softcover or ebook at Amazon. Also, check out In A Flash 2020, by Christopher J. Burke for 20 great flash fiction stories, perfectly sized for your train rides. Available in softcover or ebook at Amazon. If you enjoy it, please consider leaving a rating or review on Amazon or on Good Reads.

Come back often for more funny math and geeky comics.

Transformations Joke

It's an old joke, and a licensed property besides, so this is NOT going in a comic. On the other hand, there's no reason why it can't be put into a classroom lesson.

I mean, how can you talk about Transformations without a Transformer?

Transformers are a property of Hasbro. Fair use.

New Quadrant

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(C)Copyright 2021, C. Burke. "AnthroNumerics" is a trademark of Christopher J. Burke and (x, why?).

If he thought about it, there's a point he could reflect upon.

Unless the point got lost in translation.

I also write Fiction! You can now preorder Devilish And Divine, edited by John L. French and Danielle Ackley-McPhail, which contains (among many, many others) three stories by me, Christopher J. Burke about those above us and from down below. Preorder the softcover or ebook at Amazon.

Come back often for more funny math and geeky comics.

Silent Reflections

Last comic of 2020. We're all glad to see it go. And for now, we'll pretend that tomorrow everything will be all better.

Update: Happy New Year to my readers. And I'm happy to see that some of you still get the RSS feed, as you've gotten to this comic without my linking it anywhere. Notes below:

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(C)Copyright 2020, C. Burke. "AnthroNumerics" is a trademark of Christopher J. Burke and (x, why?).

Just a Silent Reflection

While I wouldn't put it past me to have published a blank blog post to sum up my feelings for the year, the comic above should have appeared Sunday or Monday. I thought it would be a good one for this past week between Christmas and New Years. But life and other things have a way of interfering with plans. (Nothing bad, just busy-ness. Not even "business".)

Funny thing, I wasn't going to fix the post on New Years Eve because I was spending time with the family. And I'm always up early anyway.

But it's a new year, and my wife opened a cluttered kitchen cabinet. And since New Years are for New Starts and all that, well, let's say that it's six cabinets later, and here's the update on New Years Day.

I hope everyone had a happy, healthy, and safe New Year.

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Basic Transformations

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(C)Copyright 2018, C. Burke.

Not that Kitty is not a Rigid Motion because Kitties will change size and shape to fill the available space on your lap.

Seriously, three months ago I made a notation in my notepad that read
"(X, why?) explains transformations: reflection, translation, rotations, kitty."
without any notation what "kitty" was supposed to be.




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Algebra 2 Regents Problems of the Day

The following problems were taken from the ALGEBRA II (Common Core) Regents Exam given on Friday, January 27, 2017.

Part 1

1. Relative to the graph of y = 3sin x, what is the shift of the graph of y = 3sin(x + π/3)?

(2) π/3 left.
When the value within the parentheses is added to x, the graph shifts to the left. When the value within the parentheses is subtracted from x, the graph shifts to the right.
To move up or down, the addition or subtraction would have to take place outside the parantheses.

2. A rabbit population doubles every 4 weeks. There are currently five rabbits in a restricted area. If t represents the time, in weeks, and P(t) is the population of rabbits with respect to time, about how many rabbits will there be in 98 days?

(1) 56.
The starting value is 5. The base is 2. The exponent is 98 days / 4 weeks, which is 98 / 28 after converting weeks to days.
That gives a value of approximately 56.5685424949..., which is approximately 56.
(Yes, that would round up to 57, but that is not one of the choices, leaving 56 as the closest.)




Continue to the next problems

Merry Christmas 2016: Christmas Reflections

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(C)Copyright 2016, C. Burke.

With a tail as big as a kite. With a tail as big as a kite.

Which is a four-sided figure with two pairs of consecutive sides congruent.




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Daily Regents: Translating a Function (June 2014)

I'll be reviewing a New York State Regents Exam Question every day from now until the Regents exams begin next month. At least, that is the plan.

June 2014, Question 28

The graph is not required, but it could have been used instead to explain the answer.

The vertex of the parabola represented by f(x) = x² - 4x + 3 has coordinates (2, -1). Find the coordinates of the vertex of the parabola defined by g(x) = f(x - 2). Explain how you arrived at your answer.
[The use of the set of axes below is optional.]

When translating a function, the minus two inside the parenthesis will shift all the points two places to the right. So the vertex (2, -1) in f(x) will be translated to (4, -1) in g(x).

Graphically, it looks like this. You can use the graph with the explanation or alone. However, if you only use the graph, you MUST label the vertex because that is the point that was asked for, along with an explanation. (You made a graph, that shows how you arrived at your answer. A table of values would help also.)

Any questions?

---

If anyone in Brooklyn is looking for an Algebra or Geometry Regents Prep tutor, send me a note. I have a couple of weekly spots available between now and June.

Valentine Reflections

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(C)Copyright 2016, C. Burke.

It was already broken. He just didn't make it whole.

Yeah, this should've gone up a few days ago. Still works though.

And Happy Presidents Day.




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Weekly Reflection Log

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(C)Copyright 2015, C. Burke.

The one on the right could be good for left-handed students, right?

But then, maybe it should be on the left.

One of my coworkers uses these. I just started using a weekly one with a weekly question, instead of five separate entries. Starting small, by which I mean, less for them to write because of the bigger timeframe involved.




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LOST in Translation

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(C)Copyright 2013, C. Burke.

When students say they tried ''really hard'', I like to know how much.

Obviously, the answer given by the student in the first problem is an approximation to the best of his ability.
The second one would have L'O'S'T' somewhere off the plane, but L"O"S"T" would come back down to reality.

My initial instinct was to have a whole bunch (six? seven?) crazy translations and have the last last one messed up on purpose, but I wasn't sure that people would pick up on that or yell at me for making a "mistkae".


I meant to do that

Eye Doctor

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(C)Copyright 2013, C. Burke. All rights reserved.

I knew I had a comic just from going to the optometrist. I didn't know exactly what it was going to be until I mentioned to a friend that my pupils were dilated, and she asked, ''did you have a glaucoma test or are your students full-blown?''

Daily Reflections

(Click on the cartoon to see the full image.) (C)Copyright 2012, C. Burke. All rights reserved. Whether it's the x-axis, the y-axis, y = x or any combination, it's good to have these little daily reflections. And upon further reflection: It's even better to have the same font sets at home and at work for those times when you start something in one place and then you suddenly decide to rework it at another.

Crop Rotation

(Click on the cartoon to see the full image.) (C)Copyright 2012, C. Burke. All rights reserved. Works for crop circles, too, I guess.