https://mathwithsarah.com/blog-2-1 daily 0.75 2024-02-04 https://mathwithsarah.com/stories daily 0.75 2025-09-24 https://mathwithsarah.com/stories/the-energy-robot-who-lost-his-memories monthly 0.5 2025-05-25 https://images.squarespace-cdn.com/content/v1/62f1460bed76261985eccdae/fece037c-dc77-416a-b1b5-d66c21c45d81/Energy+Worksheet+%2B+Answers+%28A+Physics+Story%291024_1.jpg Sample Stories - The Energy Robot who Lost his Memories - Make it stand out This is the first page of the energy story worksheet :) https://mathwithsarah.com/stories/inversesquarelaw monthly 0.5 2025-05-25 https://images.squarespace-cdn.com/content/v1/62f1460bed76261985eccdae/d9a7cfc4-bb4a-432a-8b4d-447c8fb442c9/Technical+Manual%21.png Sample Stories - Starlight Starship: An Interstellar Voyage of 3-D Shapes and the Inverse Square Law - Make it stand out Click the image to download the technical manual https://images.squarespace-cdn.com/content/v1/62f1460bed76261985eccdae/a9d95a94-b01c-48a4-9b52-2c7ce93dd7cd/Picture2.png Sample Stories - Starlight Starship: An Interstellar Voyage of 3-D Shapes and the Inverse Square Law - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/62f1460bed76261985eccdae/099e7fe4-95d9-4bc2-94b4-d9efae688acb/Picture3.png Sample Stories - Starlight Starship: An Interstellar Voyage of 3-D Shapes and the Inverse Square Law - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/62f1460bed76261985eccdae/5c83f731-579e-494b-8aef-89ce5b6d6f04/Picture4.png Sample Stories - Starlight Starship: An Interstellar Voyage of 3-D Shapes and the Inverse Square Law - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/62f1460bed76261985eccdae/b1700c3c-c1eb-4a6f-9e31-8d07895cc6d3/Picture5.png Sample Stories - Starlight Starship: An Interstellar Voyage of 3-D Shapes and the Inverse Square Law - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://mathwithsarah.com/stories/sakura monthly 0.5 2025-04-10 https://images.squarespace-cdn.com/content/v1/62f1460bed76261985eccdae/b81f96d0-afab-4739-bcef-b4ccaa2bbbac/netting.png Sample Stories - Sakura and the Many-Layered Sea: A Tale of Density and Buoyancy - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/62f1460bed76261985eccdae/ef685124-b854-469b-8d26-5379ddfc1656/dragons.png Sample Stories - Sakura and the Many-Layered Sea: A Tale of Density and Buoyancy - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/62f1460bed76261985eccdae/025974c8-451c-46f4-bd53-c5216974136e/mermaid+illustration.PNG Sample Stories - Sakura and the Many-Layered Sea: A Tale of Density and Buoyancy - Make it stand out The oil began to bubble around her, two waves of oil parted, and she found her whole boat sinking into an indentation in the oil that deepened into a valley and then a large pit. Lower and lower she went until the sky was a single blue circle, like a blue sun overhead surrounded by walls of oil. At last, her boat floated on the surface of . . . water. A strange, more stable feeling than floating on oil, she felt. But she didn’t have long to think this, because a mermaid broke the surface and appeared before her, supported by a rising wave of water. She wore a coral crown and a seaweed tunic. Tiny conch shells adorned her ears and metal rings of various sizes and thicknesses graced her sharp-nailed fingers, which were gripping a barnacle-encrusted trident. Spines sprouted along her shoulders, and when she blinked a second thin film covered her eye briefly from the side, like the double blink of a lizard. “You dropped this,” she said, handing the bottle to Sakura. Her voice was sharp, and it vibrated and undulated like an out of tune violin. Sakura gasped and shut her mouth, which had been gaping open as she stared at the mermaid. “Hello,” she said. “I’m sorry to bother you, but my family is starving.” The mermaid’s gaze travelled over Sakura’s arms, clothes, and hair. Sakura couldn’t help but notice that the water below was teeming with schools of silver fish, darting and flashing like an enormous, loose-scaled eel. The mermaid’s eyes widened and welled up with tears. “I’m so sorry to hear that! That’s terrible!” Sakura’s chest felt lighter. “Thank you so much.” She hadn’t thought further than this point. How did one ask a mermaid for a wish? “Umm . . . could you help us?” The mermaid looked at her, blinked a few times. “I’m sorry, what?” “Er, could you help us?” The mermaid scratched the side of her head with the tip of her trident. “Um, I mean, what did you have in mind?” “Don’t you . . . don’t you grant wishes?” Sakura asked, blushing. The mermaid’s face fell, and the tears spilled down her cheeks. “Oh gosh. I am so, so sorry little split-fin. There was one mermaid who used to pretend she could grant wishes.” What was a split-fin? She looked down at her legs. She supposed one could think of her legs as a fin divided in half. “What do you mean, pretend?” she asked. The mermaid looked down at her hands sadly. “Oh, she would wave her trident around, tap their heads with it, give them shiny rocks or clumps of kelp. I . . . I think she liked to think she was helping them.” Sakura struggled to wrap her mind around this. That couldn’t be true, could it? If mermaids were real, that meant the stories were real! If the mermaids couldn’t help, what had been the purpose of her whole journey? “Please, there must be something you can do,” Sakura said, her voice taking on a desperate edge. “Can you send fish up into the oil?” “They would die there,” the mermaid said, looking horror-stricken. “But, but . . .” “I’m just a single person like you,” the mermaid said. “I don’t have power over the fish.” Sakura bit her lip and tried not to cry. She was so hungry. She’d come so far. “What should I do?” she asked, partly to the mermaid and partly to herself. “I don’t know,” the mermaid said. “I’m so so so so sorry.” She was crying in earnest now and shaking her head. “Good luck!” The last of her words became a torrent of bubbles as she sank beneath the waves, and the oil began to refill the hole, lifting Sakura’s boat gently up to the surface. * Sakura lay for a long time in the bottom of her boat, staring up into the blue blankness of the sky. She was too weak to move, even if she wanted to. She was alone, with a broken boat, floating in the middle of the sea. She’d gone as far as she could. She’d done what she set out to do, but it hadn’t worked out like she’d thought. If even finding the mermaids didn’t help, what hope could there possibly be? Then Clyde appeared. “I assumed if I told you, you would think it was another trick,” he said softly. Sakura wiped away her tears but didn’t move from the bottom of the boat. “This whole trip was for nothing,” she said. Every obstacle she’d overcome, every challenge she’d worked through, she had nothing to show for it. “No journey is ever wasted,” Clyde said. “I’m hungrier than when I started. My boat is broken. I don’t know how to find my way home. I’m no closer to helping my family.” “Sometimes,” Clyde said, “we need a reason to take a journey, but we almost always find that what we sought at first wasn’t the right thing to be looking for.” Sakura’s head lifted an inch and she peered at the cheerful little dragon. His moustache twirled as he went on. “Would it be irritatingly mysterious if I told you that you’ve already found everything you need to solve your problem?” “Yes. Absolutely,” Sakura said. Clyde shrugged. “Well, that’s just my nature, I guess. If it helps, here’s a scone.” A small yellow lump appeared in her lap. “What’s a scone?” she said, poking at it. But Clyde had disappeared. After a few more hesitant pokes, her hunger overcame her, and she took a small nibble. Then she crammed half of it into her mouth, chewed, and swallowed. Scones, it turned out, were even more delicious than eels. Sakura inhaled every last crumb of the celestial pastry, her delight overwhelming her urge to grumble about Clyde’s mysterious advice. But after she’d eaten the entire thing and taken a nap in the sunshine while bobbing gently on the waves, she awoke with a start. As she’d slept, her mind had worked, putting together the pieces of what she’d learned on her journey. The weights of the different layers, the plentiful fish far below the surface. The way things floated or sank depending on how much they weighed and how much space they took up. Science Question: What would you do in Sakura’s situation? Do you have any ideas about how she might help feed her village? “Okay, Clyde, I see what you mean,” she said to the clouds. Even though her journey hadn’t ended the way she’d expected, she had still found a solution to her troubles. A way to feed her family. She paused. “Still annoying, though!” Now, how to get home? She rubbed her hands together and picked up her oars. On her way home, she briefly invented two different ways of navigating. One with the stars, and one with the sun and the currents. When she arrived at her village, everyone looked about as happy as she’d felt before Clyde had given her the scone. Unfortunately, she didn’t have any more scones to distribute. Her grandmother ran down the rocky beach and helped Sakura pull the boat up the shore. She hauled her out and wrapped her in an enormous hug while berating her for running off alone like that. When Sakura was finally able to detach herself, she called the rest of the villagers to her. She took one of their eel traps, tied a rope to it, and then lashed it to the perfectly weighted bottle, which the mermaid had given back to her. Then she dropped it off the end of their longest dock. The villagers all peered over her shoulder in confusion, giving each other worried looks as the trap dropped down through the oil and into the water below, where it bobbed calmly. Sakura waited a few minutes, then hauled it back up. It was absolutely bursting with fish. The villagers stared at her in disbelief. Moments ago, they’d been ready to give her grandmother their condolences that Sakura had gone mad. First there was silence and confusion, and then cheers erupted. Sakura was hugged and then hugged again. The villagers lifted her into the air, dancing with her on their shoulders all the way back to the meeting hall where people made short work of cooking up the fish. The feast lasted a full week, with more dancing and singing and rejoicing, and Sakura was asked to demonstrate her invention over and over again. She told her story again and again, and her friends and family laughed and cried in all the right places. One person suggested that the mermaid really had helped. After all, she’d given Sakura back the bottle. Sakura didn’t agree, didn’t want to perpetuate the myth that mermaids could grant wishes. On the other hand, if Sakura hadn’t believed there was a magical solution to her problem, she might not have looked for a solution at all. She eventually concluded that it was complicated and stopped correcting people. From then on, the villagers only took a few eels from the sea and instead fished in the deeper layers. Eventually, the layers below the water were explored, too, and even more wonderous creatures and plants were discovered there. The people learned to be better stewards of all the layers, and everyone lived in harmony and abundance. As for Sakura, she made many more inventions and discovered many interesting things about the world. She also spent many years discovering and then perfecting a recipe for scones. Occasionally, Clyde would visit and give her cryptic advice for his own amusement, which Sakura often decoded and used to her benefit. And they all lived happily ever after. 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