First, be sure to check out the HUGE SALE when you are done reading. I am moving and need to eliminate inventory so I have cut prices to the bone. You will never see prices like this again. I have also been busy creating some Freebies for you as a way of thanking you all for your continued support. The first freebie is based on the work that Steve Wyborney has shared. His "Maze Hundred's Chart" is a great idea. I had several teachers who I have been working with loved his chart but preferred that chart to be made as a Reverse Hundreds Chart where the 1 is in the bottom left corner and the 100 in the upper right because that was the way their students were used to seeing the chart. So, I modified Steve's Chart to do that. Note, this is Steve Wyborney's work. I just moved the numbers around. Then another teacher said her students would benefit from the same chart organized into a "quick tens" approach where the one is in the bottom left and building up, we get to ten in the upper left making a quick ten. Then 11 would be next to the one and would build up until 20 is next to the ten, etc. That was the way her students were used to seeing the numbers to 100. So, once again, I took Steve's Maze and modified it to do that. Again, this is Steve Wyborney's work, I just moved the numbers around. I later received requests for some work in the area of multiplication. Some teachers wanted to have a way to start a number talk based on the Rekenrek. I created a file I called Array We Go that is based on the Rekenrek where students can begin to subitize the multiplication facts. I have seen this used this with students and many have started to develop their own way of modeling use of this strategy on paper so they can quickly and efficiently KNOW they have the correct fact. These were the students who used to simply guess. I also created another file for multiplication based on the ten frame. I called this Frametastic Multiplication. This helps students to look at multiplication through ten frame. It has been incredible to hear the strategies that students are using when they see the numbers arranged this way. These are all FREEBIES. stop by and download your FREEBIES today. While you are there, check out the incredible Inventory Reduction Sale. I have never cut prices like this before, and most likely never will again. I need to reduce inventory for an upcoming move. The sale is limited to the inventory I have in stock, so stop by today. When it's gone, the sale is over. As always, thank you for your support. I love to support teachers and aim to help students see that math IS understandable and fun! We can work together to wipe out math anxiety by taking the mystery out of math. Have a great day!
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So much has happened since we last chatted. Pi Day is an especially important day at QT3.14 (QT Pi) LLC, the parent company of SUM OF WHICH. Last year we offered our first SUM OF WHICH Tournament on March 14th and this year was no different. On March 14, 2018 the SUM OF WHICH Champion was crowned at the second annual SUM OF WHICH Tournament. Students in grade 3 through 6 at Kennedy Elementary School in Ogdensburg New York competed to become SUM OF WHICH Champions. More than 300 students took part in the challenge. Several students were competing for their second year. Prior to the start of the competition, one young man, Rainer Langstaff, told me he had been practicing for weeks. He even got up early that morning to continue to practice his skills. He had been crowned SUM OF WHICH Champion for grade 3 last year and wanted to win again this year as a 4th grade student. The excitement was palpable. Students entered the cafeteria determined to win. The competition began and students got busy making sums of ten in strategic ways. One young lady made an 85 point play on her first move. That was exciting!! This year, we decided that all students would play 4 rounds of SUM OF WHICH and the top 4 students in each grade level would move to play offs. Those four students were then shown ten number tiles and directed to make sums of ten as many ways as they could. They were given one minute. The player in each grade level who had the most ways to make ten was crowned the SUM OF WHICH Champion for their grade level. I was proud to see Rainer as the winner of grade 4. It seems his practice paid off. He found 19 ways to make a sum of ten during the finalists round. The winners this year were: Grade 3 Champion: Team Calvin and William. Finalists: Caelyn Badgley, Makayla Legault, and Brooke Davison Grade 4 Champion: Rainer Langstaff. Finalists: Abbigail Pratt, Andrew Bertram, and Jed Farley Grade 5 Champion: Laughlin O’Donnell. Finalists: Ryatt Roberts, Bryan Doser, and Massey Fennessy Grade 6 Champion: Seth Martel. Finalists: Seth, Ryan Henry, Mia LaBella, and Madison Miller Each Champion walked away with their own game of SUM OF WHICH as a gift from their principal, Sue Jacobs. Another tradition of QT3.14 LLC is to give away some games to teachers for their classes. This year I made a promise on Facebook. As soon as I receive 1000 followers, I will randomly select on of my followers to receive $150 in free games. Since the launch of the challenge, we have gained 87 followers. We now have 809 followers. Just 191 more followers and the games will be on their way to one lucky follower. Spread the word and get your friends to check out SUM OF WHICH on Facebook. Maybe I will be visiting your school. Finally, I have an offer for you. You’ve played SUM OF WHICH, right? Have you played SO YOU THINK YOU CAN ADD or any of the other games? Have you written a review? I have heard from many of you about how much your students/children love playing SUM OF WHICH but I have very few actual reviews written. Are you looking for a way to get more copies of SUM OF WHICH in your classroom? Then read on…. I am offering the following.
Write a review at sumofwhich.com and/or on Facebook, then post to Facebook or Twitter something about your students/children enjoying SUM OF WHICH and tag SUM OF WHICH, I will give you $2 off your next purchase. If your post includes a picture of your students/children playing SUM OF WHICH, I will raise that to $4 off your next purchase. (Sale items not included.) So get busy writing your review and posting to Facebook and/or Twitter. I would love to read what you have to say and see your children/students playing the game. I am sure you would love to save money on your future purchase. I recently took some time to ask children which of the five games that come with SUM OF WHICH is their most favorite game to play. Although I thought I knew what they would say, I learned that it's a good thing that you get directions for five different games with your purchase of SUM OF WHICH. SUM OF WHICH is a board based game where players are making the required sum. Players can see one another's tiles and need to plan accordingly. There is some strategy included as they earn more points for multiple sums and can land on bonus cells for additional points. They also get points for each tile placed on the board. I love to play this with students as a collaborative game. We take turns and place our tiles and keep our individual scores. Then, instead of naming the person with the highest score as the winner, we total all our scores. That is the score we, as a team, are aiming to beat next time we play. The encouragement the players give one another when we play this way is wonderful. I love to hear, "You can get more points if you make a different play. Look over here." SO YOU THINK YOU CAN ADD does not require the board and uses just the tiles. This is a fast paced game where players race one another to make the required sums in a cross number configuration. Being fast and accurate is a must! Braeden thinks this is the best game!
MAKE IT COUNT is Kristen's favorite. We played this game for a couple hours last night. This game requires players to move as quickly as possible to make required sums using 2 to 10 addends. No board is needed for MAKE IT COUNT. You've got to move fast though. The person who has the most sums when the tiles run out is the winner of the round. IT's IMPOSSIBLE is a favorite of many teachers. They love the thinking that accompanies this game. Players need to use any combination of 2 to 5 tiles to make all possible sums and identify any impossible sums. Kristen and I also played this game last night. She even beat me once! Although different people like different games that come with SUM OF WHICH, the common fact remains. SUM OF WHICH and all the sister games you can play with SUM OF WHICH are fun and engaging for people of all ages. This game is so much fun it belongs in homes as well as in schools. It's simply too much fun to keep only at school.
The sale is winding down. When February ends, so do the sweet savings associated with February. Get your bundle or you copies of SUM OF WHICH today. And remember, when you are looking for a fun Pi Day game, look to the 5 games you can play with SUM OF WHICH. Many of you are using Number Talks, Ten Frames, Rekenreks, and other tools and strategies to help your children to subitize. Subitizing is the ability to tell the number of objects in a set, quickly, without counting. Subitizing helps student to develop a better number sense. It’s important for them to develop a good number and flexibility with numbers so they will find mental computations easier. For example, if a child is able to visualize what 3 looks like, either with a ten frame or a rekenrek, then that child also “sees” that 7 more are needed to make ten. They “see” this because they are able to “see” in their mind’s eye that there are 2 and 5 more that are needed. Being fluent in their sums of ten is critical because we are typically dealing with a baseten number system. Playing SUM OF WHICH gives a player time to think about how to make in a variety of ways. Allowing use of a tenframe(s) and counters can be helpful when playing SUM OF WHICH is TEN and SUM OF WHICH is TWENTY. Base Ten Blocks are very helpful to a child playing SUM OF WHICH is 100. The Rekenrek is great for all three of the previously mentioned. When players are playing SUM OF WHICH is ONE with the fractions, I encourage use of the templates that come filled with the tiles for the game. Cut them into 2 by 8 arrays so players can use them much the same way as they used the tenframes. However, now one cell is 1/16 of the whole. Two cells make 1/8 of the whole. Four cells are equivalent to ¼ of the whole and 8 make ½ of the whole. Bar models can also be used when playing SUM OF WHICH is ONE. It’s amazing at how good players get at estimating the sums of the fractions after playing SUM OF WHICH is ONE. During the month of February, I want to make “SWEET DEALS” with you. The Primary and Upper Elementary Bundles are on sale. I am also introducing the “Big Bundle” at a reduced price. Finally, I am offering a reduced price when you buy two copies of SUM OF WHICH. Go to sumofwhich.com and check out the savings. SMART Notebook files are also now available for all SUM OF WHICH games with a reduced price when getting more than one version. They are a great way to teach the game or use as an electronic math station.
Be sure to think ahead. What will you do to celebrate the hundredth day of school? Playing SUM OF WHICH is 100 is a wonderful idea. Pi Day Tournaments playing SUM OF WHICH are also a great hit with children. Contact me if you are interested in more information. Happy New Year! I hope this message finds you enjoying good health and happiness. January 1, 2018 QT3.14 LLC, maker of SUM OF WHICH celebrated one year in business. I am so excited to know that SUM OF WHICH is already in 16 countries and 39 US states. When the new year rolls in, many people make their New Year’s Resolution. I am making a New Year’s Goal. By the time 2019 closes in on us, I aim to have SUM OF WHICH in at least 10,000 schools and 10,000 homes. So, I need your help. Seeing as you have purchased SUM OF WHICH, I am assuming you have either played the game yourself or heard from the lucky person you gifted it to just how much fun it is, in addition to the educational benefit. Prior to the days of internet, television, and even radio, word of mouth was the way to spread the news of something good. Today I am reaching out to you to help me spread the word. As a way of saying thank you, I will give you $1.00 off for each game purchased as a result of your referral. That means if 25 of your friends or colleagues buy a game, you get a free SUM OF WHICH Sr or you can continue to bank the credits and get a bundle or multiple games. You just pay the shipping. Get a school to buy several for the teachers in the school and you get credit for each one they buy. Everyone wins! Now, to make this an even sweeter deal, I will give you a code to give to your friends. If they use the code NLJ18, they will get 10% off their order as well. Give them the website address https://www.sumofwhich.com and don’t forget to tell them to tell me you referred them. They can enter this information in the comments box when they check out. Let me make this deal even sweeter. For every 1000 games sold, I will draw a name from all referrals and that person will receive a classroom set of SUM OF WHICH! You can keep it for yourself or gift it to a classroom. Are you with me? Will you help me to get SUM OF WHICH into 10,000 homes and 10,000 schools? Start sharing today. Your friends get a discount, you get credit towards another game and you are entered into a drawing for a classroom set as many as ten times! Please, set, start sharing. I appreciate your support.
Have a wonderful 2018. As I look forward to this school year, I see two days fast approaching. The hundredth day of school will soon be here. SUM OF WHICH is 100 is a great game to play on that day. Get your school together and organize a school tournament. Place 4 students to a game board and have them play SUM OF WHICH is 100. Take the top four players at the close of 30 minutes and have those players play SO YOU THINK YOU CAN ADD using the 100 tiles. Crown the winner as the HUNDRED DAY CHAMP and the other three as the HUNDRED DAY RUNNERS UP. Of course, you know that in truth, all the students are winners. During that 30minute “fun”, they were actually all practicing their math skills. The next day on my radar is Pi Day, March 14th. Last year I was lucky enough to be in a school where we had a Pi Day SUM OF WHICH tournament. The tournament ran much like that described above, only we had two heats! It was so exciting for me to see more than 500 students play SUM OF WHICH and get excited about mathematics. Fortunately, I will once again return to the school this year when they host the second Pi Day SUM OF WHICH Tournament. It’s not too late for your school to host a tournament as well. If you are interested, contact me! You could bring this fun to your school. Looking forward is exciting for me, but as I look back in recent past I find information you may not know as well. Have you been looking for the SMART Notebook files for SUM OF WHICH is TWENTY, SUM OF WHICH is 100, SUM OF WHICH is ONE or SUM OF WHICH Integers? Well, they are now available as are the Primary and Upper Elementary Bundles of the SMART files. You can find them in the store under the “electronic versions” tab. Speaking of tabs, there is a new tab in the store as well. This is the “FREEBIES” tab. Right now there is a Power Point file called “Target”. I created this file as a game that teachers may wish to use to have players practice finding the missing addend in sums of ten. It is a great warm up for SUM OF WHICH. You can download this file for FREE. Yes, this is my new mission. In addition to giving money to Donors Choose, I am going to post free items to the FREEBIES part of the web page. My goal is to give you something at least once a month. You can download it and use it or download it and share it with others. Better yet, tell your friends about sumofwhich.com and get them to sign up for the newsletter as well so they will know when the next FREEBIE is available. I am also toying with the idea of a monthly live feed. During each live feed I will share with you a teaching strategy that you may want to use in your classroom. I want to be sure it is scheduled at a time when YOU could attend. So, if this is something you might be interested in attending, please leave me a comment below and let me know when (days and times) might be best for you each month. Of course, the feed would be available to watch afterwards, but the interaction would not be available so I want to be sure I plan for a time when you could easily attend.
That’s all for now. Thank you for your support and all you do. I hope you are all having a wonderful holiday season. This is a time for many to be with family and it is no different in my home. Recently, I have been lucky enough to be a part of multiple gatherings. In my family, we often take time during these gatherings to play games. Can you guess what we played this year? Yes, we played SUM OF WHICH and the many sister games that come with SUM OF WHICH. As a result, a variation of SUM OF WHICH was born. It gives the game a bit more challenge, so if you are looking for a way to change it up a bit, you may want to try this. Variation directions (Can be played with SUM OF WHICH is TEN as well as all expansion tile packs): Set up the game board just as you always have. Then, each player draws one tile to see who goes first. Once determined, return all yellow play tiles to the draw pile and the person who previously drew the highest tile (Player One) draws 5 yellow tiles. Nobody else draws any tiles. Player One then takes his turn placing tiles on the board to make the required sum. Once Player One is finished playing, Player One’s score is recorded and any remaining tiles that Player One has left are given to Player Two. Player Two then draws tiles from the draw pile to bring the total number of play tiles to 5 and uses those play tiles to make his play on the board. Player Two’s score is recorded and play continues with each player passing on the remaining unused tiles to the next player. The game ends when there are no tiles left or no possible plays left. If a player is able to put the very last tile on the board, that player receives a 30 points bonus. This variation is a great deal of fun when all players are at about the same ability level. We had a lot of fun playing this way. It was a nice twist to the game and gave us quite a few laughs. My only regret is, we were having so much fun, I forgot to take a picture to share! Another “tradition” I have during my holiday break is one that many teachers have. Although I enjoy a bit of rest, I find this time to be the perfect time for catching up on some work that I just couldn’t get to while school was in session. I took this opportunity to finally complete the SMART Notebook files for SUM OF WHICH is TWENTY and SUM OF WHICH is ONE (with fractions). They are now available on the website and make a great addition to the board versions. The SMART Notebook files make it easy to teach the class how to play and also for game play as a class. Some teachers have shared that they are using the SUM OF WHICH SMART Notebook files as a closure to lessons and a warm up in the morning. What a great way to keep students excited about and practicing addition. Now you can play SUM OF WHICH is TWENTY or SUM OF WHICH is ONE as well. Check back very soon as I am presently working on SUM OF WHICH is 100 and SUM OF WHICH Integers. They should be available within a day or two. Of course, another tradition during this holiday season is that of giving. SUM OF WHICH made a donation to Mrs. Robinson’s class on Donor’s Choose. We will be making another donation on the first of the year. If you know of a teacher with a Donor’s Choose project that you would like to bring to my attention, please let me know. I will make the donation on January 1st. I’ve heard from several after they received SUM OF WHICH either as a gift from others or gifted to themselves. Nikki was so excited, she tweeted about it! Thanks Nikki. Did you receive or gift SUM OF WHICH this Christmas? Have you got any pictures of game play? I would love to showcase you on my Celebrity Players Board. Please send them to me at thesumofwhich@gmail.com
Tis the season to give. This holiday season as I reflect on the many wonderful people I have had the opportunity to get to know this year, I am reminded of how very blessed I am. I have a wonderful family and terrific friends and of course, I now have a whole new family as well.....I have my SUM OF WHICH family. I recently made a promise to donate 10% of sales using promo code Trad10 to a Donor's Choose page. Presently, I have close to $100 ready to pledge to a Donor’s Choose Page. I am excited to be in a position where I can do this. I look forward to helping a teacher to reach his or her goal. I know teachers spend a great deal of money from their own pockets and I am thrilled that I will be able to help take a bit of that burden away. Oh, did I mention, if you use Trad10 you also get 10% off YOUR order. This coupon is limited, so get your order in soon. Who would enjoy and benefit from SUM OF WHICH? Your child’s teacher, your children or grandchildren, nieces and nephews, and anyone else who enjoys a bit of strategy. I have several players who are in their 80s who love to play SUM OF WHICH. Some even play SUM OF WHICH as a solitaire game. They say they love it because it keeps their minds sharp. So perhaps you have a parent or grandparent who might enjoy the game. I wish you and your family a wonderful holiday season. Stay well and for those of you in the colder regions (like me) stay warm. Gather your friends and family and enjoy a game of SUM OF WHICH. Then, please send me a picture so I can highlight you on my page. Show me how you and yours enjoy playing SUM OF WHICH. Remember Trad10 will get you 10% off your order and will add money to my donation to a Donor’s Choose Project. Feel free to share the coupon code with others. If you teach, feel free to share the coupon with your students’ parents. We all know how student’s skills improve when further practice happens outside the classroom….especially when that practice is fun. Happy Holidays! Thank you for playing and sharing SUM OF WHICH. What’s new with SUM OF WHICH? Well, did you know that now there are a total of FIVE games you can now play with the materials that come with SUM OF WHICH? SUM OF WHICH is a slower paced, thoughtful kind of game. You take time to strategize and plan, then you place your tiles. The other four games; SO YOU THINK YOU CAN ADD, IT’s IMPOSSIBLE, ODDS OR EVENS, and MAKE IT COUNT, are all very fast paced fluency games. These games get your blood flowing and your hands flying. Did you know that when you buy SUM OF WHICH you have everything you need to play all these games? You don’t have the directions to the other 4 games? Check out the tab called “LEARN” at sumofwhich.com. You can download the directions to all the games and any others that I come up with in the future. There is even a video teaching SO YOU THINK YOU CAN ADD and SUM OF WHICH. I just returned from Buffalo NY where I was able to share SUM OF WHICH and the other games with hundreds of educators. Later this week I will head to Massena NY where more than 300 special educators will have a chance to play the game. I have to say, the most rewarding part of this venture is the opportunity to help so many students. So, this month I share the following: Try this with your students.
You are going to show students 5 numbers. Then have them identify the smallest sum (the sum of the 2 smallest numbers) and the largest sum (the sum of all 5 numbers) Next, have them write all the numbers in between those two numbers. For Example: If I have a set of numbers with my smallest sum of 3 and my largest sum of 10, the numbers in between would be 4, 5, 6, 7, 8,and 9. Finally, the students race to find if they can make those numbers using addition of at least two addends using only the numbers given. If they cannot make a number, then “IT’s IMPOSSIBLE”. I am giving you several examples below to use in your classroom. The sample answers are also given. Be aware that some sums can be made in more than one way. I have given you just one of the possible sums for each. If you have students still practicing addition to 10: Show them the following numbers 1 3 2 2 2 SAMPLE ANSWERS: Smallest sum is 3, largest is 10. 4= 3 + 1, 5 = 3 + 2, 6 = 3 + 2 + 1, 7 = 3 + 2 + 2, 8 = 3 + 2 + 2 + 1, 9 = 3 + 2 + 2 + 2. They are all possible. If you have students practicing addition to 20: Show them the following numbers 2 3 5 8 2 SAMPLE ANSWERS: Smallest sum is 5, largest is 20. 6 = IMPOSSIBLE, 7 = 3 + 2 + 2, 8 = 3 + 5, 9 = 5 + 2 + 2, 10 = 8 + 2, 11 = 8 + 3, 12 = 5 + 3+ 2 + 2, 13 = 8 + 5, 14 = IMPOSSIBLE, 15 = 8 + 2 + 5, 16 = 8 + 5 + 3, 17 = 8 + 2 + 5 + 2, 18 = 2 + 3 + 5 + 8, 19 = IMPOSSIBLE If you have students practicing addition to 100: Show them the following numbers 10 25 30 20 15 (This time they are looking for all the multiples of 5 between 25 and 100) SAMPLE ANSWERS: Smallest sum is 25, largest is 100. 30 = 20 + 10, 35 = 25 + 10, 40 = 30 + 10, 45 = 25 + 20, 50 = 30 + 20, 55 = 30 + 25, 60 = 25 + 15 + 20, 65 = 30 + 25 + 10, 70 = 25 + 15 + 30, 75 = 30 + 20 + 25, 80 = 10 + 25 + 30 + 15, 85 = 10 + 25 + 30 + 20, 90 = 25 + 30 + 20 + 15, 95 = IMPOSSIBLE If you have students practicing addition of fractions to 1: Show them the following numbers 1/8, 2/16, 1/4, 3/8, 3/16 (This time they are looking for all units of 16ths between 3/16 and 1) SAMPLE ANSWERS: Smallest sum is 5/16, largest is 1. 4/16 = 2/16 + 1/8, 5/16 = 3/16 + 2/16, 6/16 = 1/4 + 1/8, 7/16 = 1/4 + 3/16, 8/16 = 1/8 + 2/16 + 1/4, 9/16 = 1/4 + 3/16 + 1/8, 10/16 = 1/4 + 3/8, 11/16 = 1/8 + 2/16 + 1/4 + 3/16, 12/16 = 1/4 + 3/8 + 1/8, 13/16 = 1/4 +3/8 + 3/16, 14/16 = 1/8 + 2/16 + 1/4 + 3/8, 15/16 = IMPOSSIBLE If you have students practicing addition of integers: Show them the following numbers. 3 5 2 6 3 SAMPLE ANSWERS: Smallest sum is 5, largest is 14. 5 = 3 + 2, 4 = IMPOSSIBLE, 3 = IMPOSSIBLE , 2 = 3 + 2 + 3 , 1 = IMPOSSIBLE, 0 =3 + 3, 1 = 3 + 2, 2 = 5 + 3, 3 = 5 + 2, 4 = 6 + 2, 5 = , 6 = 6 + 5 + 2 + 3, 7 = 6 + 3 + 2, 8 = 5 + 6 + 3, 9 = 6 + 3, 10 = IMPOSSIBLE, 11 = 5 + 6, 12 = 5 + 6 + 3 + 2, 13 = IMPOSSIBLE, 14 = 5 + 6 + 3 You can play IT's IMPOSSIBLE as a race. The first player to finish must recite the answers to the class. If they have it perfect, then they have “Done the Impossible”. If they err on one, then have the person who finished second take over. Please try one of these in your class and let me know how it went. I would love to hear from you. Keep in mind that IT’s IMPOSSIBLE is a game you could play with the materials you get when you purchase SUM OF WHICH. The full directions for the game are under the “Learn” tab. SUM OF WHICH used to be a game that came with directions for 4 games to play. I am excited to share, as of today, SUM OF WHICH will come with the directions for FIVE games to play. MAKE IT COUNT is game number 5! That means you pay for SUM OF WHICH, and you get everything you need and the directions for playing SUM OF WHICH, SO YOU THINK YOU CAN ADD, IT's IMPOSSIBLE, ODDS OR EVENS, and now MAKE IT COUNT. And how about using a Number Talk to get students excited and thinking about playing one of the many games. Try this. Ask your students to use any of the following numbers 1, 2, 4, 6, 7, 8, 10, 11, 12 to make a sum of 20. They may not use any of the numbers twice in any of the addition sentences but may use them in as many sentences as they wish. For example, I cannot say 2 + 2 + 2 + 12 because the 2 is only listed once. However, I can use the 2 with the 6 and 12 and then use the 12 again with 12 and 8. Although the 12 is used twice, it is used in two separate sentences. Give it a try. Get your students talking and then play one of the FIVE games you can play with SUM OF WHICH. Then, please let me know how it goes. I love to see pictures of the students engaged in thier learning and hearing about their excitement.

Becky DupreyI have been an educator for more than 20 years. I firmly believe that students must UNDERSTAND, not memorize. Archives
June 2018
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