5-pointed star math investigations
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Transcript of 5-pointed star math investigations
GOOD MORNING
!!!
5-p0inted starBy:
Nancy B. Madarang
How many 5 pointed stars can you form in 5 points? 10 points?
15 points? 20 points? 25 points? 30 points? N points? Investigate.
Search a pattern
5points = 1 pc 5pointed star
10 points = 2pcs of 5 pointed star
15 points = 3pcs of 5 pointed star
20 points = 4pcs of 5 pointed star
25 points = 5pcs of 5 pointed star
30 points = 6pcs of 5 pointed star
Number of points number of 5 pointed stars5 110 215 320 425 530 6. .. .
n , n is a multiple of 5
Conjecture:The number of 5 pointed stars in the nth points is , where n is the number of points and a multiple of 5.
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
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.
Thank you for listening