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