Have you ever before wondered how countless shapes a football ball has actually on it? It has 12 pentagons (5-sided shapes) and 20 hexagons (6-sided shapes). Every pentagon, usually black, has 5 white hexagons about it. It transforms out there are just 5 ways to fit with each other lots of identical shapes through all equal sides. It is why football balls have to “cheat” a bit by mix hexagons v pentagons…but they’re much easier to kick throughout the field!
Wee ones: See if you can count how countless sides a pentagon has actually (the black forms on the ball displayed here)!
Little kids: If you kick the ball and also your foot touches a pentagon and also all 5 hexagons touching it, how numerous shapes did her foot touch? Bonus: If friend touched simply that 1 pentagon, how numerous of the 12 pentagons did friend *not* touch?
Big kids: Since the ball has actually 20 hexagons and also 12 pentagons, how many faces walk it have in total? Bonus: If you deserve to bounce the round 13 time on your knee and also then twice as numerous times off her foot, how countless times in a row have the right to you bounce the round in the air?
The sky’s the limit: When someone makes a football ball, each shape edge is sewn along with another shape’s edge. How countless of those lines go the an equipment sew in total? (Hint if needed: Every shape edge is common with 1 other shape…)
Answers:Wee ones: 5 sides.
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Little kids: 6 shapes. Bonus: 11 pentagons.
Big kids: 32 faces. Bonus: 39 times (13 + 26).
The sky’s the limit: 90 lines. The 20 hexagons have 6 edges apiece, offering us 120 edges in total, while the 12 pentagons have actually 5 edges each, or 60 in total. That provides us 180 edge that need to accomplish up through each other. Each one takes one more one far from the pile, for this reason there room 90 pairs.
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Laura Bilodeau Overdeck is founder and president that Bedtime math Foundation. Her goal is to make math together playful for youngsters as it to be for her once she to be a child. Her mom had Laura baking before she might walk, and her dad had actually her utilizing power devices at a an extremely unsafe age, measuring lengths, widths and angles in the process. Equipped with this early love of numbers, Laura went on to acquire a BA in astrophysics from Princeton University, and also an MBA native the Wharton school of Business; she continues to star-gaze today. Laura’s other interests incorporate her three lively children, chocolate, too much vehicles, and also Lego Mindstorms.