Paper Folds to Moon
Math
30 Min
activityChallenge your understanding of size and scale by exploring how quickly paper thickness grows when folded. Discover the surprising power of doubling and use simple visual models to track this incredible growth, leading to an astonishing reveal about reaching the Moon.
The lesson goal is learners will predict how physical dimensions change with repeated actions and use bar models to visually track this growth. They will understand the surprising impact of doubling quantities, ultimately discovering how quickly things can grow exponentially.
What You Need
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Learning Guide
Step-by-step guidance. No preparation required.
- 1
Your Breakfast Paper5 Min
- Hold the paper and ask: 'How thick will this get if folded?'
- Move on when Child has held the paper, made an initial prediction about its thickness after a few folds, and is ready to test it.
Photo by furkanfdemir on Pexels - 2
Explore & Plan8 Min
- Fold the paper in half repeatedly.
- Observe its thickness after each fold.
- Ask: 'How could we draw this thickness as it grows?'
- Move on when Child has folded the paper several times, observed the increase in thickness, and started a visual representation (e.g., simple bars) of the thickness after the first few folds.
Photo by Ksenia Chernaya on Pexels - 3
Discussion: The Power of Doubling6 Min
- Discuss observations about paper thickness change.
- Introduce and explain 'exponential growth' and 'doubling'.
- Ask: 'How quickly would it get big if we kept doubling?'
- Move on when Child can describe 'doubling' in their own words, understands that repeated doubling makes things grow surprisingly fast, and can give an example of something that doubles.
Photo by Suzy Hazelwood on Pexels - 4
Modeling the Folds9 Min
- Estimate one sheet's initial thickness.
- Draw bar models for each fold, doubling height.
- Ask: 'How does your model help us imagine more folds?'
- Move on when Child has drawn bar models showing the doubling thickness for several folds and used them to make predictions about thickness beyond what they could physically fold.
Photo by Joachim Schnürle on Pexels - 5
The Moon Shot2 Min
- Ask: 'What surprised you most about paper's growth?'
- Share the '42 folds to the Moon' fact.
- Ask: 'How does doubling help us think about impossible things?'
- Move on when Student shares one key takeaway about the power of doubling or how bar models helped them visualize it.
Photo by Jelena Kazak on Pexels
How thick can folded paper get?
Math30 MinactivityChallenge your understanding of size and scale by exploring how quickly paper thickness grows when folded. Discover the surprising power of doubling and use simple visual models to track this incredible growth, leading to an astonishing reveal about reaching the Moon.
Our Goal is learners will predict how physical dimensions change with repeated actions and use bar models to visually track this growth. They will understand the surprising impact of doubling quantities, ultimately discovering how quickly things can grow exponentially.
What You Need
Missing something? In the app, Mai suggests swap ideas.
Learning Guide
Step-by-step guidance. No preparation required.
- 1
Your Breakfast Paper5 Min
- Hold the paper and ask: 'How thick will this get if folded?'
- Move on when Child has held the paper, made an initial prediction about its thickness after a few folds, and is ready to test it.
Photo by furkanfdemir on Pexels - 2
Explore & Plan8 Min
- Fold the paper in half repeatedly.
- Observe its thickness after each fold.
- Ask: 'How could we draw this thickness as it grows?'
- Move on when Child has folded the paper several times, observed the increase in thickness, and started a visual representation (e.g., simple bars) of the thickness after the first few folds.
Photo by Ksenia Chernaya on Pexels - 3
Discussion: The Power of Doubling6 Min
- Discuss observations about paper thickness change.
- Introduce and explain 'exponential growth' and 'doubling'.
- Ask: 'How quickly would it get big if we kept doubling?'
- Move on when Child can describe 'doubling' in their own words, understands that repeated doubling makes things grow surprisingly fast, and can give an example of something that doubles.
Photo by Suzy Hazelwood on Pexels - 4
Modeling the Folds9 Min
- Estimate one sheet's initial thickness.
- Draw bar models for each fold, doubling height.
- Ask: 'How does your model help us imagine more folds?'
- Move on when Child has drawn bar models showing the doubling thickness for several folds and used them to make predictions about thickness beyond what they could physically fold.
Photo by Joachim Schnürle on Pexels - 5
The Moon Shot2 Min
- Ask: 'What surprised you most about paper's growth?'
- Share the '42 folds to the Moon' fact.
- Ask: 'How does doubling help us think about impossible things?'
- Move on when Student shares one key takeaway about the power of doubling or how bar models helped them visualize it.
Photo by Jelena Kazak on Pexels
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