The Mathematical Playground – making learning more interactive and engaging than ever before, and FREE for everyone. Part of @amplify
London, UK
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Interested in learning more about the FREE Polypad Virtual Manipulatives from Amplify Classroom? Sign up for the next Polypad webinar on Nov 5th at 7 PM ET. Even if you can’t make it, sign up to receive a link to the recording. tinyurl.com/5fb4m48z
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As you know, we've been posting Polypad content over at @desmosclassroom. That account will be closing soon, but sure to follow @Amplify for continued access to the same great content including free lesson drops, feature updates, custom activity share outs, free PD, and more!
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Blaise Pascal was a mathematician, physicist, and philosopher and was born 402 years ago today. He invented one of the first mechanical calculators, worked on geometry, probability, physics, and theology. Learn more at mathigon.org/timeline/pascal
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The Hailstone sequence 🌨️ follows a simple pattern but behaves as unpredictably as hailstones in a cloud. Every starting number seems to reach one eventually, but no one knows if this is always true! Learn more about this sequence at math.fit/hailstone
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Deck 6 of Addition and Subtraction by Heart 2, uses number bars to provide the most abstract representation of subtraction within 20. Try for yourself and learn more about the free fluency practice resource at fluency.amplify.com
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Al-Khwarizmi’s book Al-kitāb al-mukhtaṣar fī ḥisāb “al-ğabr” wa’l-muqābala established “Algebra” as a new area of mathematics. It showed how to solve linear and quadratic equations, how to calculate the area and volume of geometric shapes, and introduced the concept of “balancing” when solving equations. mathigon.org/timeline/khwari…
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This is the final week of the 2025 Polypad Art and Music Contest! Looking for a great end-of-year activity? This is the perfect thing. Learn more at polypad.amplify.com/contest
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To celebrate world ocean day on June 8, consider measuring the length of the coastline of a country. Do you know that it is infinitely long, a fractal, and has a non-integer dimension like 1.21? Mandelbrot realized that this dimension is a measure of its “roughness”. Learn more at math.fit/coastlines
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In case you missed the announcement, the 2025 Polypad Art and Music Contest is on-going! Looking for a great end-of-year activity? This is the perfect thing. Learn more at polypad.amplify.com/contest
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Deck 5 of Addition and Subtraction by Heart 2 focuses on subtraction facts within 20 in which decomposing could be used to solve the problem, such as 14 – 6. Learn more and get started with this free resource at fluency.amplify.com
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Start with 100 dice. Roll them and remove all the sixes. Repeat until there are 25 or less dice left. How many rounds will this take? Learn more about exploring this idea with students in this Polypad Pointer video: piped.video/cJbLOWkx9KI
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Mathematics has applications across so many parts of everyday life - from weather prediction to bridge design, crowd control to music shuffling, and fraud detection, to name a few. Explore many more interesting examples at mathigon.org/applications
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In case you missed the announcement, the 2025 Polypad Art and Music Contest is on-going! Looking for a great end-of-year activity? This is the perfect thing. Learn more at polypad.amplify.com/contest
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72 years ago today, Edmund Hillary and Tenzing Norgay reached the top of Mount Everest. More than a century earlier, mathematicians used trigonometry to calculate its precise height. Learn more at math.fit/mountains
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Want to learn about making a piece of visual art of the 2025 Polypad Art and Music Contest? Get started here: teacher.desmos.com/activityb…
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Deck 4 of Addition and Subtraction by Heart uses numbers cards and focuses on subtraction problems within 20 in which decomposing is not necessary. At times, students can click on a card greater than 10 to split it into two parts. Learn more at fluency.amplify.com
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Interested in creating a piece of art using math manipulatives for the 2025 Polypad Art and Music Contest? Explore the "Making Visual Art in Polpad" activity on the contest page at polypad.amplify.com/contest and get started today!
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Did you know you can split the Algebra Tiles on Polypad? Can you figure out what will balance the bottom scale in this picture?
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Deck 3 of Addition and Subtraction by Heart 2, uses number bars to provide the most abstract representation of addition within 20. Try for yourself and learn more about the free fluency practice resource at fluency.amplify.com
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The number tiles, number cards, and the exploding dot machine from on Polypad can model subtraction with regrouping in a variety of ways. Learn more in this Polypad Pointer video at piped.video/watch?v=QMPcxpl4…
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Want to learn about making a piece of visual art of the 2025 Polypad Art and Music Contest? Get started here: teacher.desmos.com/activityb…
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The 2nd deck in Addition and Subtraction by Heart II has addition facts within 20 and focuses on place value. For the first few times students see a card, they can click on a number above 10 to split the number. Learn more at fluency.amplify.com
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Interested in creating a piece of music using math manipulatives for the 2025 Polypad Art and Music Contest? Explore the "Making Music in Polypad" activity on the contest page at polypad.amplify.com/contest and get started today!
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Carl Friedrich Gauss, born 248 years ago #onthisday, was one of the greatest mathematicians in history. He made groundbreaking discoveries in every area of maths, physics, and astronomy and mentored many other important mathematicians. Learn more at mathigon.org/timeline/gauss
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Henri Poincaré was born 171 years ago #onthisday. He is one of the founders of topology, laid the foundations for chaos theory with his work on the three-body problem, and first proposed the existence of gravitational waves. Learn more at mathigon.org/timeline/poinca…
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The first deck in Addition and Subtraction by Heart II focuses on adding within 20 and uses 10 frames as the visual representation. For the first few times students see a card, they can move around the counters. Learn more at fluency.amplify.com
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Happy #EarthDay! More than 2000 years ago, the Greek mathematician Eratosthenes found a way to measure the radius of Earth just using shadows, angles, and simple geometry. Learn more at math.fit/earth-radius
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In case you missed the announcement last week, the 2025 Polypad Art and Music Contest has begun! Looking for a great end-of-year activity? This is the perfect thing. Learn more at polypad.amplify.com/contest
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Deck 6, the final deck of Addition and Subtraction by Heart 1, uses number bars to provide the most abstract representation of subtracting within 10. Try for yourself and learn more about the free fluency practice resource at fluency.amplify.com
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Explore the latest Desmos Classroom monthly challenge: Gradient Descent! Perfect for Grades 8–12, this activity introduces students to one of the algorithms behind machine learning, plus its key attributes and potential pitfalls.
Try it out with peers across the country: student.desmos.com/join/a9fm…
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Interested in creating a piece of art using math manipulatives for the 2025 Polypad Art and Music Contest? Explore the "Making Visual Art in Polpad" activity on the contest page at polypad.amplify.com/contest and get started today!
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Interested in creating a piece of music using math manipulatives for the 2025 Polypad Art and Music Contest? Explore the "Making Music in Polypad" activity on the contest page at polypad.amplify.com/contest and get started today!
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The 2025 Polypad Art and Music Contest has launched! We invite students from around the world to submit their best creations by June 13, 2025. Additionally, for the first time ever, we’re inviting educators to join the fun! Learn more at polypad.amplify.com/contest
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Deck 5 of Addition and Subtraction by Heart 1 uses number paths to help students make meaning of subtraction. For the first few times students see a fact, they can click on some numbers in the path to de-select them. Try for yourself and learn more at fluency.amplify.com
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Stephanie was one of the winners in the 11 - 14 years category in the 2024 Polypad Art and Music Contest. Congratulations Stephanie! See all winners at polypad.amplify.com/contest
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Explore factorizations and primes numbers while practicing arithmetic skills when playing Factris, developed with our friends @MEIMaths.Can you make it onto the leaderboard? mathigon.org/factris
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Coming up with truly “random” data is surprisingly difficult. We can use statistics to determine if a roulette wheel is rigged or if financial data is fraudulent. Can you write down a sequence of “red” and “black” that would pass detection? Learn more at math.fit/roulette
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Leyla was one of the winners in the 15 - 18 years category in the 2024 Polypad Art and Music Contest. Congratulations Leyla! See all winners at polypad.amplify.com/contest
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Deck 4 of Addition and Subtraction by Heart 1 uses 10 frames as the visual representation. For the first few times students see a fact, they can move counters out of the 10 frame. Try for yourself and learn more about the free fluency practice resource at fluency.amplify.com.
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Unlock Polypad's potential in Desmos Classroom! If you want to integrate virtual manipulatives into your Desmos activities, our upcoming FREE webinar will teach you everything you need to know. Sign up at amplify.com/mathwebinars
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The French mathematician and philosopher René Descartes was born 429 years ago. He developed the “cartesian” coordinate system, which is named after him. His work also provided the foundations for discovering calculus a few decades later. Learn more at mathigon.org/timeline/descar…
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Chloe was one of the winners in the 15 - 18 years category in the 2024 Polypad Art and Music Contest. Congratulations Chloe! See all winners at polypad.amplify.com/contest
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Deck 3 of Addition and Subtraction by Heart 1 is the final deck of addition facts within 10 and uses number bars to provide the most abstract representation of these facts. Try for yourself and learn more about the free fluency practice resource at fluency.amplify.com
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Whichever die you pick, another one will (on average) always beat it! These are called “non-transitive dice,” and you can play with them on Polypad. Try for yourself at polypad.amplify.com/p#non-tr…
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Alex was one of the winners in the 11 - 14 years category in the 2024 Polypad Art and Music Contest. Congratulations Alex! See all winners at polypad.amplify.com/contest
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145 is one of just four numbers in base 10 that are the sum of the factorials of their digits (1! + 4! + 5!). Can you find the other three? Discover hundreds of number facts in our Almanac of Interesting Numbers! Get started at mathigon.org/almanac#145
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Deck 2 of Addition and Subtraction by Heart 1 uses 10 frames as the visual representation. For the first few times students see a fact, they can move counters into the 10 frame. Try for yourself and learn more about the free fluency practice resource at fluency.amplify.com
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Christian Goldbach was born 335 years ago #onthisday. He noticed that every even integer could be written as the sum of two prime numbers – but couldn’t prove that this always works. Three centuries later, it is still an unsolved problem! Try for yourself at mathigon.org/course/divisibi…
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Happy St Patrick’s Day! 🍀🇮🇪 Learn more about rotational symmetry at mathigon.org/course/transfor…
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π Day is here! Find a variety of free resources from @desmosclassroom, @Amplify, and @Mathigonorg to celebrate this wonderful day with all ages of students at amplify.com/pi-day
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Deck 1 of Addition and Subtraction by Heart 1 focuses on the strategy of "counting on." Try for yourself and learn more about the free fluency practice resource at fluency.amplify.com.
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Check out the latest "What's New" video to learn about 2 new Polypad features - a multi-input function machine and linkage tiles! piped.video/watch?v=JXALi1hp…
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Pi Day is only a few days away! Find a variety of free resources from @desmosclassroom, @Amplify, and @Mathigonorg to celebrate this wonderful day with all ages of students at amplify.com/pi-day
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Tomorrow is International Women's Day. We’ve created an all-female version of our timeline – from Hypatia to Mirzakhani. Discover some of the most impactful women in the history of mathematics! Download for free at static.mathigon.org/women.pd…
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Sasha was one of the winners in the 11 - 14 years category in the 2024 Polypad Art and Music Contest. Congratulations Sasha! See all winners at polypad.amplify.com/contest
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Deck 6 of Numbers by Heart has two separate types of cards: sums to 5 and missing addends to make 10. This deck formally introduces addition within 5 by explicitly introducing the addition symbol. Learn more about all decks and how to use these FREE flashcards with students at fluency.amplify.com/help
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Georg Cantor was born 180 years ago #onthisday. One of the greatest mathematicians in history, he invented set theory and discovered that there are “different sizes” of infinity. Learn more at mathigon.org/timeline/cantor
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