{"title":"Printables, PDFs, and eBooks","description":null,"products":[{"product_id":"newtons-laws-a-fairy-tale-pdf-ebook-worksheet","title":"Newton's Laws: A Fairy Tale [PDF + eBook + worksheet]","description":"\u003cp\u003eA 123-page illustrated fairy tale that teaches Newton's three laws of motion through the adventures of Kip, a curious boy with nothing but an apple to his name, and Newton, an eccentric wizard who keeps figuring out how the universe works by accident. Along with rival wizard Leibniz, the contested heir Prince Eric, and a guard captain very devoted to him, they discover the laws of motion together — and (mostly) save the kingdom.\u003c\/p\u003e\n\n\u003cp\u003eWritten by Sarah Allen, illustrated in full color by Sheila Stephanie Elizan. For ages 9–12.\u003c\/p\u003e\n\n\u003ch2\u003eWhat's inside the book\u003c\/h2\u003e\n\n\u003cul\u003e\n  \u003cli\u003e\n\u003cstrong\u003eFour chapters of fairy tale\u003c\/strong\u003e (roughly the first 75 pages), where Kip and Newton discover the three laws of motion in the wild — by tumbling over cliffs, picking up rocks on the road, arguing with rival wizard Leibniz, and climbing a tower that won't stop swaying in the wind.\u003c\/li\u003e\n  \u003cli\u003e\n\u003cstrong\u003e\"A Note from the Librarian\" sidebars\u003c\/strong\u003e throughout the story that connect each plot moment to the real physics: Newton's three laws, friction, the normal force, weight vs. mass, velocity vs. acceleration, with brief tastes of entropy and calculus.\u003c\/li\u003e\n  \u003cli\u003e\n\u003cstrong\u003e\"Try to Break the Law!\" hands-on experiments\u003c\/strong\u003e woven into the text — things kids can try with a rolling chair, a wall, a friend, a sock.\u003c\/li\u003e\n  \u003cli\u003e\n\u003cstrong\u003eFive practice sections in the back:\u003c\/strong\u003e\n    \u003cul\u003e\n      \u003cli\u003eA worked free-body-diagram example told as a story (Newton's tippy tower)\u003c\/li\u003e\n      \u003cli\u003eFive free-body-diagram problems to draw (unicorn, troll, pirate, dragon, dragon-in-dive)\u003c\/li\u003e\n      \u003cli\u003eF=ma setup practice with friction\u003c\/li\u003e\n      \u003cli\u003eA creative writing prompt — \"you've been appointed the official bard of the land of fairy tale physics\" — write your own physics story about Newton's Second Law\u003c\/li\u003e\n      \u003cli\u003eRiddles in the Woods with the Trickster Fairy, on identifying third-law force pairs\u003c\/li\u003e\n    \u003c\/ul\u003e\n  \u003c\/li\u003e\n  \u003cli\u003e\n\u003cstrong\u003eA vocabulary glossary\u003c\/strong\u003e at the end covering force, perpendicular, normal, weight, mass, velocity, and acceleration in plain language.\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003ch2\u003ePlus a bonus: Free Body Diagrams Worksheet (with answer key)\u003c\/h2\u003e\n\n\u003cp\u003eA separate illustrated worksheet designed around the most common misconceptions kids run into with free body diagrams. 20 problems total:\u003c\/p\u003e\n\n\u003cul\u003e\n  \u003cli\u003e15 qualitative scenarios (a book on a table, a chandelier, a hockey puck sliding, a sailboat speeding up, a squirrel on a branch, sliding across the floor in your socks…)\u003c\/li\u003e\n  \u003cli\u003e5 \"make up a scenario to fit this diagram\" problems\u003c\/li\u003e\n  \u003cli\u003e\n\u003cstrong\u003eA full illustrated answer key\u003c\/strong\u003e with every force labeled\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003cp\u003eGreat for reinforcing what the book teaches, or as a standalone for any kid learning Newton's laws.\u003c\/p\u003e\n\n\u003ch2\u003eA note on answers\u003c\/h2\u003e\n\n\u003cp\u003eThe book itself doesn't have a traditional answer key — the practice problems are resolved within the story. For example, the Trickster Fairy walks you through whether each force pair is a third-law pair and why. The bonus worksheet does have a full separate answer key.\u003c\/p\u003e\n\n\u003ch2\u003eWhat you'll get\u003c\/h2\u003e\n\n\u003cul\u003e\n  \u003cli\u003e\n\u003cstrong\u003eEPUB\u003c\/strong\u003e of the book (for Kindle, Apple Books, Kobo, and other e-readers)\u003c\/li\u003e\n  \u003cli\u003e\n\u003cstrong\u003ePDF\u003c\/strong\u003e of the book (for reading on any computer, tablet, or phone — or for printing)\u003c\/li\u003e\n  \u003cli\u003e\n\u003cstrong\u003ePDF worksheet\u003c\/strong\u003e with answer key\u003c\/li\u003e\n  \u003cli\u003eDelivered by email immediately after purchase, plus available on your download page\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003ch2\u003eAbout the author\u003c\/h2\u003e\n\n\u003cp\u003eSarah Allen tutored math and physics for twenty years before becoming a full-time fantasy writer. She has a physics degree from the University of Washington (graduated with college and departmental honors) and a master's in Cognition and Learning from Columbia. 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Along the way she works with Newton, Archimedes himself, a Fairy Queen, and a band of trolls.\u003c\/p\u003e\n\u003cp\u003eWritten by Sarah Allen, illustrated in black and white by Marie Delwart. For ages 9–12.\u003c\/p\u003e\n\u003ch2\u003eWhat's inside the book\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eFourteen chapters of fantasy adventure\u003c\/strong\u003e (roughly 185 pages) following Allora through a world where the laws of physics have been broken and need to be put back.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003e\"A Note from the Librarian\" sidebars\u003c\/strong\u003e woven throughout, connecting the magic to real physics and math: static and kinetic friction (and the equation f = μN), Newton's Third Law, levers and mechanical advantage, pulleys, and a glimpse of Archimedes' famous cylinder-vs-sphere discovery.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eHands-on suggestions\u003c\/strong\u003e embedded in the story — things kids can try with a spinny chair, their palms on a desk, or a real lever.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eThe Ostomachion puzzle\u003c\/strong\u003e as a central plot device. (It's a real ancient puzzle attributed to Archimedes — sometimes called \"the first puzzle\" — and you can download a printable version free from my website to try yourself.)\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003ePlus a bonus: Archimedes' Puzzle Book (28 pages)\u003c\/h2\u003e\n\u003cp\u003eA separate illustrated puzzle book with full answer key, designed to let kids practice what Allora learns:\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eLever puzzles\u003c\/strong\u003e — Which Way Will the Lever Tip? · Identify the Effort, Load, and Fulcrum · A Castle Demolition Puzzle\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePulley puzzles\u003c\/strong\u003e — Understanding tension forces in single and compound pulley systems · \"Would this actually do anything???\" (figuring out which pulley contraptions provide mechanical advantage and which don't)\u003c\/li\u003e\n\u003cli\u003eA \u003cstrong\u003eCertificate of Puzzle Mastery\u003c\/strong\u003e at the end for kids who make it through\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003ePlus three additional worksheets (with answer keys)\u003c\/h2\u003e\n\u003cp\u003eDesigned as a progression from intuition to calculation to puzzle-solving:\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eFriction Explorer\u003c\/strong\u003e — pairs with a free interactive friction simulator on my website. Kids predict, then drag a block around, then experiment with turning static and kinetic friction on and off to see what really happens. Conceptual, no calculations.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eCalculating Friction\u003c\/strong\u003e — works through the friction equation f = μN with characters from the book, including multi-step problems where the normal force changes (a hawk lifting a chair, pushing down on a broom).\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFlower Garden Riddles\u003c\/strong\u003e — integer puzzles based on Archimedes' Cattle of the Sun problem, introducing primes, squares, triangular numbers, and Diophantine equations through trolls, fairies, dwarves, and dragons. Includes the original Greek riddle as a bonus at the back for the very ambitious.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWhat you'll get\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eEPUB\u003c\/strong\u003e of the book (for Kindle, Apple Books, Kobo, and other e-readers)\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePDF\u003c\/strong\u003e of the book (for reading on any computer, tablet, or phone — or for printing)\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePDF\u003c\/strong\u003e of Archimedes' Puzzle Book, with answer key\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePDFs\u003c\/strong\u003e of the Friction Explorer, Calculating Friction, and Flower Garden Riddles worksheets, with answer keys\u003c\/li\u003e\n\u003cli\u003eDelivered by email immediately after purchase, plus available on your download page\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003ePart of the Fairy Tale Physics series\u003c\/h2\u003e\n\u003cp\u003eEach book in the series is self-contained, so you can start anywhere. 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Then a mysterious sorceress slips into the throne room and hands him a candle, with a single warning: don't let it burn all the way down. John lights it anyway. Inside are the ghosts of five light mages — Albert Einstein, Snell, Thomas Young, Louis de Broglie, and James Clerk Maxwell — trapped by a witch and freeable only when the candle is fully burned. To free them without dying in the process, John has to become a light mage himself, learning to ride photons, refract through prisms, and pass through Young's double-slit experiment — while a rebellion gathers in the square below and a much older betrayal waits to be uncovered.\u003c\/p\u003e\n\n\u003cp\u003eWritten by Sarah Allen and illustrated by Vladimir Djekic, with cover design by Vik Charlie. Ages 9–12.\u003c\/p\u003e\n\n\u003ch2\u003eWhat's inside the book\u003c\/h2\u003e\n\u003cul\u003e\n  \u003cli\u003eFour story chapters across 39 pages, with each of the trapped light mages introducing a different physics concept — Einstein on the speed of light, Snell on refraction, Young and de Broglie on the wave nature of light, and Maxwell on electromagnetic fields\u003c\/li\u003e\n  \u003cli\u003eSeveral full-page color illustrations at pivotal story moments\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003ch2\u003ePlus an extensive physics section\u003c\/h2\u003e\n\u003cp\u003eAfter the story, a dedicated physics section walks through the same concepts in clear, conversational prose. 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She has a physics degree from the University of Washington (graduated with college and departmental honors) and a master's in Cognition and Learning from Columbia. Her goal is to write the sort of physics books she would have wanted as a kid.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eAges 9–12 · 74 pages · Color illustrations\u003c\/strong\u003e\u003c\/p\u003e","brand":"Math with Sarah","offers":[{"title":"Default Title","offer_id":43742346182722,"sku":null,"price":4.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0678\/8395\/8338\/files\/1_3490364b-bcfa-40d4-b9cb-bb008f9aa74f.jpg?v=1778717907"},{"product_id":"gravity-a-fairy-tale-pdf-ebook-bonus-story","title":"Gravity: A Fairy Tale [PDF + eBook + Bonus Story]","description":"\u003cp\u003eWorry was named by a fairy godmother who promptly disappeared and was never seen again — which left Worry growing up in a castle of fairy-named children who could use magic, while she could not. Her optimistic sister Hope can. Their teacher, Fortitude Knightward (\"Fort for short\"), is the last remaining Scholar Knight, and after Worry runs away and discovers she'd rather be useful than left out, Fort offers her the role of caretaker of the castle's enchanted objects — which finally gets her a set of keys. What follows is a story of astronomy towers, sea riddles, a leaning castle, a bottomless pit, an astonishingly judgmental library, a dragon's lair, and gravity itself — what it actually is, how scientists have used it to find things they couldn't see, and what it might mean for a girl who has spent her whole life feeling pulled toward all the wrong things.\u003c\/p\u003e\n\u003cp\u003eWritten by Sarah Allen. Edited by Jennifer Murgia. Illustrated in color by Marie Delwart. Ages 9–12.\u003c\/p\u003e\n\u003ch2\u003eWhat's inside the book\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003eEighteen chapters across 187 pages of story\u003c\/li\u003e\n\u003cli\u003eTwo short conceptual explainers woven between chapters — \u003cem\u003eThe Geometry of Gravity\u003c\/em\u003e (why circles and ellipses keep showing up) and \u003cem\u003eUsing Gravity to Find the Invisible\u003c\/em\u003e (how astronomers discovered Neptune)\u003c\/li\u003e\n\u003cli\u003eTwo hands-on science activities — a tides-and-observation exercise inspired by Kepler's notebooks, and a density experiment with sand and gravel\u003c\/li\u003e\n\u003cli\u003eA pendulums activity with safety notes — figure out what does and doesn't affect a pendulum's swing using just a stopwatch and a weight on a string\u003c\/li\u003e\n\u003cli\u003eTwo guided gravity simulations using free online tools — the PhET Gravitational Force simulator and GravitySimulator.org, where you can find out what happens if Earth orbits Saturn\u003c\/li\u003e\n\u003cli\u003eA discussion question, an opening writing prompt about what gravity is, and a closing writing prompt that loops back to it after the story is done\u003cbr\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003ePlus a bonus pendulums adventure with calculations\u003c\/h2\u003e\n\u003cp\u003eBundled with the book is \u003cem\u003eAbigail's Totally Purposeful, Definitely Not Accidental or Dangerous, Adventure: A Story-Based Pendulums Exploration\u003c\/em\u003e — a separate story featuring two characters from the world of Gravity. A girl named Abigail accidentally teleports herself to an unknown underground location, and has to measure the local strength of gravity using a pendulum necklace in order to figure out how to get home.\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eThe full illustrated story, with the math optional — students who don't want to do algebra can skip the calculation sections and still follow the plot\u003c\/li\u003e\n\u003cli\u003eA teacher guide with three adaptations for different ages and math-comfort levels — a No-Math version (ages 8–10), a Medium-Math version (ages 11–12) for students who can plug numbers into equations, and an All-the-Math version (ages 14+) for students ready for algebra\u003c\/li\u003e\n\u003cli\u003eActivity 1 — \u003cem\u003eMeasure the Strength of Gravity Where You Are\u003c\/em\u003e, a real pendulum experiment\u003c\/li\u003e\n\u003cli\u003eActivity 2 — \u003cem\u003eMake a Planetary Pendulum Necklace\u003c\/em\u003e, including a string-length table for every planet in the solar system\u003c\/li\u003e\n\u003cli\u003eThree sets of practice exercises — a Rearranging Equations Super Challenge, Pendulum Calculations practice, and a \"Guess What Planet You're On!\" set\u003c\/li\u003e\n\u003cli\u003eA full solutions manual with step-by-step worked answers for every problem\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWhat you'll get\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003eEPUB of the book (for Kindle, Apple Books, Kobo)\u003c\/li\u003e\n\u003cli\u003ePDF of the book (for any device, or for printing)\u003c\/li\u003e\n\u003cli\u003ePDF of the bonus pendulums adventure, with all activity instructions and the full answer key\u003c\/li\u003e\n\u003cli\u003eDelivered by email immediately after purchase, plus available on your download page\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003ePart of the Fairy Tale Physics series\u003c\/h2\u003e\n\u003cp\u003eGravity is part of the Fairy Tale Physics series, but each book is self-contained and they can be read in any order. 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In \u003cem\u003ePhysics Fables\u003c\/em\u003e, a tortoise named Eloise races a literal photon and discovers that light breaks the rules of relative velocity; a girl named Sakura investigates why her village's oily sea has stopped giving up its eels and ends up conversing with a mermaid about density and buoyancy; a small bee named Clemmm (the end of her name sounds like humming) invents a coordinate system to share the location of a flower meadow with her hive; a butterfly named Arnold attends what may be the last great Conclave of all animals, seeing in ultraviolet and polarized light the rest of them cannot; and a lone adventurer named Zara carries a magnetized scepter across dragon-filled lands on a planet where gravity is gentler than our own. Each story is self-contained, and each one uses real physics and connects it to our everyday life.\u003c\/p\u003e\n\n\u003cp\u003eWritten by Sarah Allen. Each story is illustrated by a different artist: Vladimir Djekic, Donna Schafer, Nathan Ranieri Moncao, and Marie Delwart. Formatted by Sue Balcer. Suitable for ages 9–12, though younger readers who love stories will find plenty to enjoy alongside a grown-up.\u003c\/p\u003e\n\n\u003ch2\u003eWhat's inside the book\u003c\/h2\u003e\n\u003cul\u003e\n  \u003cli\u003eFive complete stories totaling 116 pages\u003c\/li\u003e\n  \u003cli\u003eScience Notes woven throughout each story — sidebars explaining the physics concepts as they appear in the narrative (relative velocity and the speed of light, density and buoyancy, polar coordinates, animal color vision and perception, magnetism)\u003c\/li\u003e\n  \u003cli\u003eScience Activities at the end of each story — hands-on experiments and group activities, including a three-person relative velocity experiment, a message-in-a-bottle buoyancy challenge, a full Polar Coordinates classroom activity with materials list and instructions, a bubble thin-film optics observation, and a magnet interaction experiment\u003c\/li\u003e\n  \u003cli\u003eAn \"About this Book\" introduction from the author explaining how to read the collection — stories first, notes when curious, activities whenever you like\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003ch2\u003eWhat you'll get\u003c\/h2\u003e\n\u003cul\u003e\n  \u003cli\u003eEPUB of the book (for Kindle, Apple Books, Kobo, or any e-reader)\u003c\/li\u003e\n  \u003cli\u003ePDF of the book (for any device, or for printing at home)\u003c\/li\u003e\n  \u003cli\u003eDelivered by email immediately after purchase, plus available on your download page\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003ch2\u003ePart of the Fairy Tale Physics series\u003c\/h2\u003e\n\u003cp\u003eEach book in the Fairy Tale Physics series is fully self-contained and can be read in any order. \u003cem\u003ePhysics Fables\u003c\/em\u003e is a short-story collection, making it a natural entry point for readers who want to sample the series or who prefer variety over a single extended narrative. Characters and creatures from across the series make quiet appearances — keep an eye out.\u003c\/p\u003e\n\n\u003ch2\u003eAbout the author\u003c\/h2\u003e\n\u003cp\u003eSarah Allen tutored math and physics for twenty years before becoming a full-time fantasy writer. She has a physics degree from the University of Washington (graduated with college and departmental honors) and a master's in Cognition and Learning from Columbia. Her goal is to write the sort of physics books she would have wanted as a kid.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eAges 9–12 · 116 pages · Color illustrations · Five stories\u003c\/strong\u003e\u003c\/p\u003e","brand":"Math with Sarah","offers":[{"title":"Default Title","offer_id":43825807130690,"sku":null,"price":4.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0678\/8395\/8338\/files\/1.png?v=1780845388"},{"product_id":"pdf-printable-basic-1-d-kinematics-worksheet","title":"[PDF Printable] Basic 1-D Kinematics Worksheet","description":"\u003cp\u003eYour wizard mentor has sent you on another errand, and the instructions are scrawled on a discarded sandwich wrapper — mixed in with his grocery list, a note to look for his cat, and something illegible that might say \"cheese rabbit.\" What follows is a twenty-five-step descent: down a trapdoor, through a tunnel, across a cavern where you pass the time throwing bat skulls at the ceiling, and over a chasm lit by phosphorescent mushrooms. At the bottom, sitting on a patch of glowing crystal, is a cat. The cat has questions about dragons. Every step of the quest is a physics problem, and the story doesn't continue until you solve it.\u003c\/p\u003e\n\n\u003cp\u003eWritten by Sarah Allen and illustrated in full color by Sheila Elizan. Best suited to grades 8–10 — see below for details on fit.\u003c\/p\u003e\n\n\u003ch2\u003eWhat's inside\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e14 pages — a continuous illustrated story broken into 25 numbered prompts, 23 of which are calculations (two are jokes, and the story keeps moving)\u003c\/li\u003e\n\u003cli\u003eThe three formulas students need are printed on the first page — v = Δd\/Δt, a = Δv\/Δt, and d = ½at² — so no reference sheet is required\u003c\/li\u003e\n\u003cli\u003eConstant-velocity problems, free fall from rest, objects thrown straight up, and uniform acceleration from rest\u003c\/li\u003e\n\u003cli\u003eSeveral problems hand students their data inside the illustration rather than the paragraph — a rate scrawled beside a dirt pile, a diameter and a stopwatch reading tucked into a thought bubble — which gives kids who bounce off dense word problems another way in\u003c\/li\u003e\n\u003cli\u003eAnswer boxes built into the page, plus name, date, and period fields at the top\u003c\/li\u003e\n\u003cli\u003eSome answers feed the next problem — #2 uses the result from #1, #6 uses #5, #15 uses #14 — which keeps the quest coherent and gives students a reason to check their work\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003ch2\u003eWhat this is — and what it isn't\u003c\/h2\u003e\n\u003cp\u003eThis is practice, not instruction. There's no lesson, no worked example at the top of the page, no explanation of where the equations come from. It assumes a student has already met these three formulas somewhere else and now needs a reason to use them twenty-three times without losing interest. If you're looking for something to teach kinematics from scratch, this isn't it. If you've taught it and need practice your students will actually finish, it is.\u003c\/p\u003e\n\n\u003ch2\u003eWho it's for\u003c\/h2\u003e\n\u003cp\u003eThe clearest fit is a first-year physics or physical science course, grades 8–10 — the opening kinematics unit, or a review before a test. It also works well for homeschool families\u003c\/p\u003e","brand":"Math with Sarah","offers":[{"title":"Default Title","offer_id":44721562878018,"sku":null,"price":3.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0678\/8395\/8338\/files\/1_d544bd82-0e86-4395-8c51-2dc6fa98c442.jpg?v=1786569912"}],"url":"https:\/\/shop.mathwithsarah.com\/collections\/printables-pdfs-and-ebooks.oembed","provider":"Math with Sarah","version":"1.0","type":"link"}