Table Talk math

7/15/2017

Week 41: Water Bottles

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This week's newsletter has been translated into Spanish by Ed Campos, Jr. Make sure you check it out and tell him thank you on Twitter. The link to share is bit.ly/TTMspanish41

Joshua Zagorski is a father of two wonderful boys and, like many of us, likes to engage in math-based conversations at home, even if it's while preparing lunches in the morning. He has come aboard the helm of the newsletter this week to share with all of us. Take a look and try it out with your own child(ren):


It was the end of spring break and it seemed my wife and I had forgotten to purchase new water bottles for our sons’ (K & 2nd grade) lunches on the first Monday back to school. 
When I realized the situation we were left with in our cabinet (see the picture above), I decided to have a little fun with my sons. After calling them down to help pick out items for their lunch, I asked them the following question:


Which water bottle do you want in your lunch tomorrow? 


Immediate arguing ensued over the taller water bottle. I could not help but laugh and follow up with: 


Why do you both want that water bottle?


Both boys agreed on one thing, “it was the bigger one.” The math teacher in me continued to prod with questions:


How do you know it is larger?


After hearing a third question from myself, my second grader knew I was up to something and asked a question back:


Which bottle holds more water?


I was half tempted to rip off the labels at this point but decided that may be taking it too far. Instead, I grabbed the bottles and put them up on a higher counter. My sons and I briefly discussed ways we could tell which bottle held more water without reading the label. My older son guided my younger son and insisted the best way to tell would be to pour both of the bottles into two different plastic cups.  The cup or cups that had more water would “win.”
This was the point of the conversation where I knew he understood the basic concept of volume. On this day, we did not complete the experiment to its capacity and instead explored both labels. Even after reading 10 oz on both bottles I watched as both my sons worked through the idea that different shapes could hold the same volume.
This five to ten minute conversation was an essential piece to their math journey. Without using fancy math words, or being in “math class,” my sons were exposed to an authentic math activity. They experienced comparing three dimensional shapes (K math standard) and its attributes. The fact competition and debate were involved helped enhance the discussion.

Have an older student and like the above image? I would love to explore the question:
​

Which bottle costs more to produce?

Everyday life experiences can lead to impactful math conversations.

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7/13/2017

Week 40: Tricks

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This week's newsletter is also available in Spanish, thanks to Ed Campos, Jr. Make sure you tell him thanks and share the link with friends: bit.ly/TTMspanish40

Math tends to come with some shortcuts, easy ways to remember things, or "tricks" to abide by. This week, I brought in Tina Cardone, author of Nix The Tricks and all-around amazing person, to share her thoughts on the matter:

Have you seen people using their fingers to multiply by nine? There’s this trick where if you put down the finger corresponding to the other factor, you can read the product off your remaining fingers. Fingers to the left represent the tens place digit and fingers to the right represent the ones place digit.

If you or your child haven’t seen this trick before take some time to play and verify that it really works. Then ask kids’ favorite question - why?

Ask your child to do some observing and look for reasons behind the patterns. It might help to write down the numbers to be able to see a pattern.

9 * 1 = 9
9 * 2 = 18
9 * 3 = 27
9 * 4 = 36
9 * 5 = 45
9 * 6 = 54
9 * 7 = 63
9 * 8 = 72
9 * 9 = 81
9 * 10 = 90

The big idea here is that we have ten fingers and a base ten number system (every time you count to ten you start over in the ones place). Using the idea of "nine is one less ten" we can figure out that every multiple of nine will be that many less than the decade number (multiple of ten).
For example: 10 x 3 = 30 so 9 x 3 = 30 - 3 = 20 + 7
Putting down your third finger leaves two fingers to the left (twenty is the decade number less than thirty) and 10 - 3 fingers to the right (you have ten fingers! Your fingers show you the seven.)
Try it out for some other multiples of 9. Get it now?
Every time I see a math trick, first I verify that it really works and then I ask why. Asking “why?” is what math is all about! Once you’ve figured out the reasons behind a trick, you can rename it a strategy. There are lots of tricks that people use in math class without understanding the math - so many that I wrote a book about them called Nix the Tricks. If you’re interested in turning more tricks into strategies, check out the free download.

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7/11/2017

Week 38: Origami

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Thank you to Ed Campos for translating this week's newsletter into Spanish. Check out the link and make sure to thank Ed: bit.ly/TTM38spanish

Growing up, I was awful at Origami. If it meant folding a paper into a cool design so I could pass a note during class, that was one thing. Sitting down in an art class and folding paper for a purpose, though, was a major challenge. Recently, Nalini Joshi shared a tweet about Mathigon and I just had to share it with you.
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When you go to mathigon.org/origami, there are a ton of beautiful creations that are laid out for you to try... FOR FREE. They start out rather simple (well, relatively) as you can see in the image above. If you click on any of the images on the site, you can download the "net" and print it out. The net of a 3D object is a diagram of all facets (or faces) laid out flat. This makes life a little easier when trying to fold that thin sheet of paper into something beautiful that you and your child can be proud of.

When you finish with some of the first few shapes, you need to try at least one of these:
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There are more, and they get even more complex. So, here's what you need to do: find a printer and run off a few copies of some of the more basic nets. Then, pick one of the "Archimedean Solids" and run off a few copies of it. I say a few copies because there's a good chance that the first attempt is not going to be a success... and that's alright.

Here are some things to keep in mind when trying Origami at home:

This is designed to be fun. If it isn't fun, stop. Come back to it later. Maybe start with something more basic, then gradually move up to more complex designs.

There is no way (that I know of) to cheat. Use whatever resources you can to get to the final product.

It's OK to not be perfect! Oh, so your design doesn't look like the impeccable model in the picture? Totally fine. Maybe it's something that you laugh about, how far off it is from what "it's supposed to look like" before moving on to something else.

There is a lot of math involved. Included on the website is a two page explanation of the math behind Origami and it's work checking out. If it's too intense, that's fine. Just know that some beautiful mathematics pops up from the art.

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7/9/2017

Week 37: MathMunch

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This week's newsletter is also translated into Spanish from Ed Campos. Give him a follow on Twitter and share the link with your friends: bit.ly/TTM37spanish

You probably already know this, but the Internet is an amazing (and intimidating) place to be. For kids looking to feed their curiosity, online games are especially popular. This week, I wanted to share my favorite place to go for high quality games: mathmunch.org/games

No matter how old your child is, and no matter your level of math comfort, there is a game for you and the family to play. With 34 games currently shared on the webpage, you are certain to have a good time and can take comfort in the fact that the team at Math Munch have vetted the games for value and relevance.

With that said, there are some pointers that I recommend:

Playing the game with your child. Opening up the browser and walking away has much less value than sitting down and taking the time to talk through strategies, share new ideas, and bond over the successes and failures.

Limiting the time on the game. Have you ever played a game for so long that you lost track of the clock? No? Just me? OK, well let me tell you that it's easy to do, especially when you're focused. If you and your child set a time limit, you can pace yourselves and ensure a meaningful interaction.

Having fun! Games are intended to be fun, and they're more fun when playing alongside someone you love. If a game gets too frustrating or overwhelming, talk through it, then move on. Put the device away. Come back to it later. There's no need to create tension in something designed to bring people together.
​

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7/8/2017

Week 36: Temperature

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It was 86 F on Sunday, now it's 43 F. But it's NOT half as warm, can any non meteorologists explain why? pic.twitter.com/TllN4e8XoI

— Keith Carson (@KeithCarson) April 18, 2017
This time of year, the weather starts playing tricks on us. One day, it's snowing; the other, warm and sunny. What gives?!
The above tweet from a weatherman in Maine, originally retweeted into my feed by Tracy Zager, demonstrates an incredible question based on weather patterns.

Why doesn't 43 degrees Fahrenheit feel half as warm as 86 degrees Fahrenheit? Would it be different in Celsius?

Here's another example with a bit better shorts-and-flip-flop outlook (sorry if you're in a place where it isn't warm and sunny):
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What is the difference in the high temperature and low temperature on Sunday, April 23rd?

Why are the highs expected to fluctuate so much, but the lows remain fairly consistent?

Does the wind speed have an effect on how warm it feels outside?

Yes, these questions can be answered with the help of science, and that's perfectly fine. Here's my challenge to you as a parent or teacher: take a screenshot of the 7 (or 10) day forecast in your area and ask your child(ren) what questions they have. Pick one or two, and work to answer them. Then, when you're done, send me the image on Twitter or email.

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7/7/2017

Week 35: Tiles

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Thank you to Ed Campos for translating this week's newsletter into Spanish. For the link to share, please use bit.ly/TTM35spanish

Have you seen that Table Talk Math is now a book and available on Amazon? Check it out and let me know what you think! If you'd rather get a free copy, email me or Tweet me your solution for one of the challenges, along with how you and your child worked through the problem(s); I'll pick at least one subscriber and send you a copy of Table Talk Math!


OH NO! I bought tile to upgrade my bathroom floor, but forgot the tape measure at my friend's house. Can you help?

How many tiles would it take to cover the floor from start to finish in the image above?

I'm wondering, though, how did you come up with your solution? Sure, you can space it out by looking at your screen. You can eyeball it and estimate, but you're bound to spend too much or--worse--not enough on tile.

If you want a little more help, and have a Google account, you can use this Google Drawing from which the image was created. All you need to do is go to Filer and Make a Copy. Want my solution? Email me and I'll share what I did, but only if you share your strategy!

Ok, so that was fun, but how about stepping it up?
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How many of these tiles would it take to cover the grey floor completely? Again, if you want the Google Drawing of this, follow the link. Want the solution? Send me yours via email, comment on this blog, or Twitter.

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4/13/2017

Week 34: Pipes and Estimations

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Welcome to Table Talk Math. This week, I'm sharing a fun and scary image, then asking you to estimate.
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Table Talk Newsletter #34

Have you seen that Table Talk Math is now a book and available on Amazon? Check it out and let me know what you think!

How many pipes are stacked on the bed of the truck?

How did you count?


On our way to baseball practice last week, my family and I were approaching the back of a shipping truck carrying a whole bunch of steel pipes. From the back, my 6 year-old belted out, "wow, that's a lot of pipes!"

It sure was! Where were they heading? What could they be used for? How much is all that steel worth? While those questions ran through my mind, two others were more accessible: how many do you see, and how did you count?

My youngest, 4 years young, went with his upper bound: "A ZILLION!"

My oldest, the 6 year-old, started counting. Well, I wasn't about to sit behind this truck for two hours, so I had him count as much as he could and then guess. He has not yet learned multiplication, so his counting to 27 and guess of 500 was just that: a guess.

Meanwhile, my wife and I took a swing at the number. Here's what I did:

In the bottom left, there is a group.
In that group, there are 14 pipes across and they are stacked 9 pipes tall (from what I counted). 
Knowing that, 14 * 9 can be broken down to 10 * 9 and 4 * 9.
10 * 9 is 90. 
4 * 9 is 36.
Adding them together, there are 126 pipes in each set.
There are 2 stacks of 4 sets, so 8 total sets.
126 * 8 is 1008.
There are 1008 pipes on that truck.


My wife came up with a different way of doing it:

I counted all the way across and got 27 pipes.
I counted all the way up and got 36 pipes.
Hang on... (gets calculator)
There are 972 pipes.

 
So, which one of us is right? Neither? How did you do it?

Share your method and solution with me and I will feature it on the website! Here are a couple so far.

@Jstevens009 8 sections of about 15 by 10. So 150 times 8. Or 300 times 4. Or 600 times 2. 1200 pipes.

— Martin Joyce (@martinsean) March 31, 2017

@Jstevens009 Hmm, looks like 9×15×8 = 1080. But I cheated by counting!

— Josh Fitzgerald (@bamkzer0) March 31, 2017
If you have any questions, please feel free to contact me on Twitter (@TableTalkMath) or comment below. Be sure to have your friends sign up for the newsletter at tabletalkmath.com for weekly updates.

Thank you for taking the time to improve math fluency for children, one table talk conversation at a time.
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4/5/2017

Week 33: April Fool's Math Submissions

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Welcome to Table Talk Math. This week, I'm sharing some subscriber-create number puzzles from last week.
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Table Talk Newsletter #33

This week's newsletter is also available in Spanish by going to this link, thanks to Ed Campos! For the link to share, please use: bit.ly/ttm33spanish

Thank you to all who submitted number puzzles to share with others. I have taken a couple and compiled them here. As a thank you, I will be sending a signed copy of my upcoming book, Table Talk Math, to each of the families. My challenge to you is to try these out with your child and see if you can come up with the algebraic expression it is building.

Challenge 1, from Dylan (1st grade) in Wisconsin:

Pick any number

Add 10 to your number

Take away 3 from that number

Take away 8 from that number

Add 5 to that number

Subtract that number by your original number.

What did you get?

Dylan got 4, but how? What does the expression look like?

Thanks to Dylan and his dad, Thomas, for sharing. Make sure you email your conversation and result:
[email protected]
Challenge 2, from Aleysa (6th grade) in Texas:

Pick any number

Multiply your number by 4

Multiply that number by 2

Subtract 6 from your number

Add 11 to your number

Add 3 to your number

Divide your number by 8

Subtract your original number from your new number

What did you get?

Aleysa got 1, but how? All that work for an answer of ONE?! What is the expression that her challenge created?

Thanks to Aleysa and her mom, Tatyannah, for sharing. Make sure you email your conversation and result:
[email protected]

Next week, I will be showing you a picture that is sure to get the table talking. In the meantime, continue creating puzzles with your child and please share them with me. This has been fun to see the replies from all of you who have sent something in.
If you have any questions, please feel free to contact me on Twitter (@TableTalkMath) or comment below. Be sure to have your friends sign up for the newsletter at tabletalkmath.com for weekly updates.

Thank you for taking the time to improve math fluency for children, one table talk conversation at a time.
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4/5/2017

Week 32: April Fool's Math

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Welcome to Table Talk Math. This week, I'm challenging you to a puzzle, then challenging you to create your own.
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Table Talk Newsletter #32

This week's newsletter is also available in Spanish by going to this link, thanks to Ed Campos! For the link to share, please use: bit.ly/ttm32spanish

WARNING: April 1st is coming up quickly and I want to make sure you're ready. Nobody's going to pull a fast one on you, right?

So here's a challenge:

Pick any number

Add 5

Multiply that number by 4

Subtract 8 from that number

Divide that number by 4

Add 6 to that number

Subtract that number by your original number.

What did you get?

Did you get 9?

That was fun! But wait, how did I guess your number? What I did was build an algebraic expression, then I had you complete it, step by step.

 
For anyone looking at the problem first, it seems daunting. However, going step-by-step through the problem, it becomes more manageable. The end goal here is to make sure you end up with a last step like I did, such as:

x+9-x

That way, you know your original number will subtract to zero and you are left with a specific value. That is how I knew you ended with 9!

For younger kids, you might try something simpler:

Pick a number (not a zillion... something you can count to!)

Add 3 to your number

Add 2 to that number

Subtract your original number from your new number

You should have 5!

So here's my bigger challenge to you. Create one with your child, or with your class of students, and send it to me. I'm going to take a few of them and feature them on the website, tabletalkmath.com, and will be giving out a special prize to a few of my super-puzzlers. Challenge me!
If you have any questions, please feel free to contact me on Twitter (@TableTalkMath) or comment below. Be sure to have your friends sign up for the newsletter at tabletalkmath.com for weekly updates.

Thank you for taking the time to improve math fluency for children, one table talk conversation at a time.
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4/5/2017

Week 31: Pi Day

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Welcome to Table Talk Math. This week, try some of these ideas at home!
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Table Talk Newsletter #31


There is a lot going on this week, so I want to make sure you had some ideas to try out with your child(ren) at home. Follow the links for more information or reach out to me and let me know what you wind up using!

Pi Day

Every March, math teachers everywhere get giddy as the 14th approaches. Pi, a greek letter that also sees a lot of time in math problems, is often abbreviated to 3.14, hence the excitement and significance around March 14th.

Even if your child comes home with some Pi Day fun, there is plenty to try out at this link:

www.teachpi.org/activities/projects/

When you and your child tries something from the site, please let me know; I would love to feature your products and your process. At the same time, Pi Day is about more than memorizing digits of pi. If you can get a string and measure circles, manipulate measurement, and understand the properties of why pi works, that's the real value.

March Madness

If you watch sports, there's a very good chance you know about March Madness, an annual test in your ability to pick the winning NCAA Basketball bracket. Can you do it without bias? Can you pick the upsets? Jordan Ellenburg, author of How Not to Be Wrong: The Power of Mathematical Thinking, offers up a mathematical approach to filling out your bracket that is worth checking out.

For the families with middle and high school students interested in college basketball, filling out a friendly bracket and seeing how your probability plays out is a fun and engaging way to use math to serve a conversation.

How is your bracket going? Let me know and I will feature it on an upcoming newsletter!

Lucky Leprechauns

Yes, St. Patrick's Day is right around the corner. With the majority of Google Searches littered with half-hearted attempts to engage children with math while they wear green, I was able to find one activity that is worth digging into: Lucky Leprechauns. 

The focus of the game is for fifth graders, but you know your child and will know if it is interesting. As an 8th grade teacher, this is something I see being done in my classes, and might even try it out with my first grader... as long as I get to eat the candy afterwards.
If you have any questions, please feel free to contact me on Twitter (@TableTalkMath) or comment below. Be sure to have your friends sign up for the newsletter at tabletalkmath.com for weekly updates.

Thank you for taking the time to improve math fluency for children, one table talk conversation at a time.
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    John Stevens is working to give parents ideas on how to have mathematics-based discussion at home. 

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