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Math Curmudgeon @mathcurmudgeon.bsky.social · 06/10/2026

14x75 is 7x150 is 7x100+7x50 is 700+350=1,050

Math Curmudgeon @mathcurmudgeon.bsky.social · 20/09/2026

My y10 love this game: CONSISTENCY is a Geometry game. Each player in turn lays down a card that is consistent with the previously played cards. To challenge a play, you need a verbal "proof". Quick explanation: matharguments.com/consistency.... The files: drive.google.com/drive/folder...

matharguments.com

The Consistency Game

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Math Curmudgeon @mathcurmudgeon.bsky.social · 20/09/2026

Do you challenge that card? If a player decides to challenge, they must explain why it's inconsistent with the cards already played; maybe "6-8-10 is a right triangle and card A says it's acute." (Thus, developing their paragraph proof and reasoning skills).

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Math Curmudgeon @mathcurmudgeon.bsky.social · 20/09/2026

For example, the cards in play might be A. The triangle is acute. B. None of the medians is perpendicular to a side. C. All sides have integer lengths. The next player wants to play "Side lengths are 6-8-10". Is that consistent?

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Math Curmudgeon @mathcurmudgeon.bsky.social · 20/09/2026

It's a geometry review game. Players have cards with either an image or a statement about a triangle or polygon. In turn, each player must lay down a card that doesn't contradict anything in the middle. You have the four cards at the bottom. Which one is consistent with the three already played?

Center cards:
Area is less than 70
The shape is a pentagon.

Player on the left has played
"The shape is regular"

The next player must choose between
The measures of all interior angles are integers
Adjacent angles add to 180
Angle Bisectors pass through the opposite vertex.
Exterior angles are 30

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Math Curmudgeon @mathcurmudgeon.bsky.social · 20/09/2026

CONSISTENCY is a game for Geometry students. Each player lays down a card that is consistent with the previously played cards. matharguments.com/consistency.... (Links in right margin) #iteachmath #mathgames #geometry #matheducation #MTBoS #MathsToday

matharguments.com

The Consistency Game

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Math Curmudgeon @mathcurmudgeon.bsky.social · 31/08/2026

That took a few minutes. I like it.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 31/08/2026

Developers, please pay attention to the following ideas: Backwards compatibility Easy import and export (eg., offline backup) pathways. Offline use.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 31/08/2026

I need to be able to run my classroom right now. The materials that I currently have ... are fine. I make small changes to lots of it every year, as I go through each course, but I can't take that much time for every single thing.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 31/08/2026

Sure, your new superwhiteboard website might have some great features but I'm not changing to another proprietary format now, only to find out in 2 years that your funding is done and none of my work exports in a format that any of my current software recognizes.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 31/08/2026

The most annoying thing I've run in 40+ years is creating curricula and materials in one format and having to re-create it all in the next format. I started on dirty-purple. 20+ sets of conversions later, here we are. No, I'm not moving my presentations to your website. #ITeachMath #MathsToday

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Math Curmudgeon @mathcurmudgeon.bsky.social · 10/08/2026

As long as they go through and pass all the training and competency requirements, I’m okay with gamers in this role. I’d prefer if they hired back everyone they fired a year ago but these gamers are not at fault for that.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 15/07/2026

If you teach Geometry, check out the two Geometry versions: Triangles and Polygons.

bit.ly

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Math Curmudgeon @mathcurmudgeon.bsky.social · 15/07/2026

I'm not a middle school teacher, so please leave some feedback on difficulty and any suggestions for more cards. Thanks! 2/3

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Math Curmudgeon @mathcurmudgeon.bsky.social · 15/07/2026

Play-Testers wanted! "N is a Number" is a CONSISTENCY variation for Middle School. Each player lays down a card that is consistent with the previously played cards. You can find rules and card sets at the link. #iteachmath #mathstoday bit.ly/TheConsisten... 1/3

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Math Curmudgeon @mathcurmudgeon.bsky.social · 01/07/2026

"Chapman is part of a small group of districts and states moving to integrated math" Integrated math has been around for years and in wide use in New York (since 1970) and New England, but they called it "Sequential Math" so I guess that doesn't count.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 01/05/2026

Your odds for success are greater w/ an experienced teacher taking a class or two than with giving a full slate of weaker kids to a brand new teacher with no experience beyond theoretical training. Learning to teach is a 3-year process, not a 14-day inservice and “Thrown in the Deep End day one.”

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Math Curmudgeon @mathcurmudgeon.bsky.social · 29/04/2026

Sure, mix it up but don’t do that in a way that “randomly” assigns the lowest levels to the newest teachers. Those kids are hard work, which is why many experienced teachers want to avoid them.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 29/04/2026

If you mean “creating the class schedule”, I agree with you. The experienced teacher better knows where the struggles are. It makes for mental whiplash, however, when my first period is pre-algebra (14yo) and 2nd is AP Calc.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 23/04/2026

Can we choose which cells are shaded?

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Math Curmudgeon @mathcurmudgeon.bsky.social · 22/04/2026

My mistake: I used the wrong links: Had to change the shareable link: bit.ly/TheConsisten... or drive.google.com/drive/u/3/fo...

bit.ly

Consistency - Google Drive

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Math Curmudgeon @mathcurmudgeon.bsky.social · 21/04/2026

Had to change the Shareable link: bit.ly/TheConsisten... or drive.google.com/drive/folder...

bit.ly

Consistency - Google Drive

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Math Curmudgeon @mathcurmudgeon.bsky.social · 21/04/2026

Feel free to print, laminate, and use in your classroom - I "invented it" based on other people's ideas. I have no thought of monetizing it. Let me know if it was successful with your kids. There's also a New Quadrilaterals Hierarchy Chart created by: www.hambrecht.ch/blog/2017/7/...

hambrecht.ch

The Quest for the Lost Quadrilateral — Ben Hambrecht

Recently, David Griswold posted this in #geomchat:

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Math Curmudgeon @mathcurmudgeon.bsky.social · 21/04/2026

CONSISTENCY is a Geometry game for Geometry students. Each player lays down a card that is consistent with the previously played cards. You can find rules and card sets at the link (google drive link). #iteachmath #MathToday #MathsToday #Geometry drive.google.com/drive/folder...

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Math Curmudgeon @mathcurmudgeon.bsky.social · 22/03/2026

Because 5 points create 3 overlapping triangles, 6 create 4 such, etc. Each triangle's angles add to 180. Thus, (n-2)*180.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 22/03/2026

We can't make change with fake money. answer: $0.00

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Math Curmudgeon @mathcurmudgeon.bsky.social · 22/03/2026

I'd like to read the article. On the other hand ... Alternatively, view purchase options below: Purchase 24 hour online access to view and download content. Article - $37.50

Alternatively, view purchase options below:

Purchase 24 hour online access to view and download content.
Article - $37.50

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Math Curmudgeon @mathcurmudgeon.bsky.social · 22/03/2026

I like asking questions like: Why would people write this number in the following ways? 30,000,000,000.0 30.000.000.000,0 30 000 000 000 3*10^10 30*10^9 30 billion

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Math Curmudgeon @mathcurmudgeon.bsky.social · 19/03/2026

At the very least, impound her car and forbid her from driving ever again.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 19/03/2026

He spoke to President Jackson. The bust is right there on the sideboard. SMiller installed a speaker behind the furniture.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 13/03/2026

#mathstoday #iteachmath Geometry students played CONSISTENCY with the polygons set. Lots of fun had by all. It's a Geometry game. Each player lays down a card that is consistent with the previously played cards. If you'd like to play-test it: drive.google.com/drive/folder...

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Math Curmudgeon @mathcurmudgeon.bsky.social · 12/03/2026

I like to promote the use of engineering form to complement the use of the metric system.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 10/03/2026

If you're interested, get the files from the Google Drive. They're ready to print and cut. (or print, laminate, and cut) Let us know how it goes for you!

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Math Curmudgeon @mathcurmudgeon.bsky.social · 10/03/2026

Looking for some teachers to play-test this Geometry review game. You can find rules and card sets at the link (google drive link). Players have cards with either an image or a statement about a figure and lays down one that doesn't contradict anything else. drive.google.com/drive/folder...

drive.google.com

Consistency - Google Drive

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Math Curmudgeon @mathcurmudgeon.bsky.social · 15/02/2026

It’s better to differentiate by classroom than by desk, but not everyone understands that.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 13/02/2026

I like when n is a fraction, like 3/8. It makes more of a chrysanthemum than a daisy.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 07/02/2026

Some more cards. I've got more pages of cards but these should give you a good sense of the game.

The triangle is equiangular.
The triangle is acute.
The triangle is obtuse.
The triangle is a right triangle.
The triangle is equilateral.
The triangle is isosceles.
The triangle is scalene.
The triangle is a 45-45-90 triangle.
The triangle is a 30-60-90 triangle.

The shape is regular.
A median is perpendicular to a side.
None of the medians is perpendicular to a side.
Only one angle bisector is perpendicular to a side.
Two of the angle bisectors are perpendicular to sides.
One side is also an altitude.
Only one altitude intersects a side.
An altitude intersects a side at its midpoint.
All the altitudes intersect sides at their midpoint.

The perimeter is 50 cm.
The perimeter is 99 cm.
The perimeter is not less than 50 cm.
The perimeter is not less than 100 cm.
The perimeter is not greater than 50 cm.
The perimeter is not greater than 100 cm.
All sides have integer lengths.
Two sides have integer lengths.
All sides have integer lengths.

Sides are Pythagorean triples.
Side lengths are 6, 8, & 10
Side lengths are 8, 15, 17
Side lengths are 7, 24, & 25
Side lengths are 13, 14, 15
Side lengths are 10, 20, √300
Side lengths are 20, 20, 20√2
Side lengths are 17, 17, 17
Side lengths are 14, 14, 20

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Math Curmudgeon @mathcurmudgeon.bsky.social · 07/02/2026

It's a Geometry game that @unsolvedmre.bsky.social had tossed into the ether. I tweaked it some, set it aside for a couple years, and tweaked it some more. Here are the instructions, and some of the cards. What do you think? Playable? Enjoyable? (For your students, ...) #ITeachMath

Consistency!

Consistency! is designed for students who are about halfway through a typical Geometry course. It’s excellent for review and revision because it promotes discussion and argument.

GAME PLAY

A Round of Play:
- The cards are dealt counter-clockwise and any remaining cards are set face down to form a draw pile. Each player gets the number of cards as in the table.
- The player to the dealer’s right begins the round by placing any card face-up in the middle of the table.
- Each player in turn lays down a card (face-up) that is consistent with all cards already in play:
For example: A middle card has the image at right. The next card could be “cos⁡〖A=1/2〗 ” or “one exterior angle is 120° ” but not “Side lengths are Pythagorean triples.”
- A player who cannot lay down a consistent card draws 1card and play moves to the right.
- Players can bluff and lay down a card that is inconsistent with one or more of the cards already played. Anyone can challenge a card at any time. Allow 30 seconds or so for players to decide whether to challenge.

End of the Round:
• The round ends in one of two ways
1. A player lays down a consistent card and no one else around the table can do so, then that player wins the round. Example: 5 people (A, B, C, D, E) are playing and C plays a consistent card. If none of the players D, E, A, and B can play a card in turn, then C has “played the last consistent card” and wins the round. In a two-player game, the second player must pass twice.
2. If a player in their turn lays down their last card (and it’s consistent!), they immediately win the round.
• The player that wins the round receives 1 point for each card in play and sets these cards aside. Gloating and performing a TikTok dance are optional.
• The dealer’s role moves counter-clockwise.
• The rest of the cards are combined, shuffled, and a new round is dealt.

Challenges:
• If a player lays down an inconsistent card, then anyone can challenge the card by describing how it is inconsistent. It is important to remove inconsistent cards because further play is impossible.
• Penalties depend on when the challenge is made:
o In the 30 seconds: If the challenge is upheld, the “offender” takes back the inconsistent card and draws four more. If the challenge fails, the challenger draws two cards.
o Later in the round: the bluffer takes back the inconsistent card and draws only two more cards (if the challenge fails, the challenger draws just one card).

Teacher Notes:
• We played several rounds in class before implementing the challenge penalties in order to encourage challenges and discussions.
• With the challenges, the goal is to encourage the development of the paragraph proof. As students get used to the game, insist on more complete explanations in a more logical order.
• Instead of calling “UNO” when down to their last card, players call “EUCLID”.

$Two exterior angles add to 270° One exterior angle is 135° All exterior angles are 120° One exterior angle is acute. This triangle has two acute angles. The measures of all angles are integers. sin𝐴 is a rational fraction. tan𝐶 is a rational fraction. sin𝐵 is a rational fraction.$ Area is an integer
Area is 100 𝑐𝑚2
Area is less than 70 𝑐𝑚2
Area is less than 40 𝑐𝑚2
Area is greater than 100 𝑐𝑚2
Area is greater than 20 𝑐𝑚2
No side is longer than 20 cm.
No side is shorter than 20 cm.
One side of this triangle is twice as long as another side.

Area is an integer
Area is 100 𝑐𝑚2
Area is less than 70 𝑐𝑚2
Area is less than 40 𝑐𝑚2
Area is greater than 100 𝑐𝑚2
Area is greater than 20 𝑐𝑚2
No side is longer than 20 cm.
No side is shorter than 20 cm.
One side of this triangle is twice as long as another side.

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Math Curmudgeon @mathcurmudgeon.bsky.social · 07/02/2026

It's a concentration camp. I'm sure they've got a use for that part, too.

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