5-pointed star math investigations
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GOOD MORNING
!!!
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5-p0inted starBy:
Nancy B. Madarang
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How many 5 pointed stars can you form in 5 points? 10 points?
15 points? 20 points? 25 points? 30 points? N points? Investigate.
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Search a pattern
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5points = 1 pc 5pointed star
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10 points = 2pcs of 5 pointed star
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15 points = 3pcs of 5 pointed star
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20 points = 4pcs of 5 pointed star
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25 points = 5pcs of 5 pointed star
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30 points = 6pcs of 5 pointed star
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Number of points number of 5 pointed stars5 110 215 320 425 530 6. .. .
n , n is a multiple of 5
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Conjecture:The number of 5 pointed stars in the nth points is , where n is the number of points and a multiple of 5.
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Prove the conjectureFor any number n where n is the number of points and which n is a multiple of 5, forms a 5 pointed star. Therefore, the number of 5 pointed stars used in nth is
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To draw a 5-pointed star pay attention to the following steps:
1. Choose any starting point.
2. To determine the next point to connect the 5 pointed star, use this formula : ;
where n is the n is the # of points
Ex. = 1 x 2 = 2 = 2 x 2 = 43. For the next point follow step # 2. Until you form a 5-pointed star.Note: any point should have only two segments to connect.
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Thank you for listening