Common Core State Standards

CCSS.MATH.CONTENT.HSF.LE.A.2

CCSS.MATH.CONTENT.HSA.CED.A.1

Task

Generalize the pattern by finding an explicit quadratic equation for the number of shapes that make up any given term, n, in the sequence. Let T_n represent the number of shapes that make up the nth term. Show your reasoning, then find T_n for the next term, then draw it to check your answer.

1.

n=1                  n=2                     n=3

 

2.

n=1     n=2              n=3                  n=4

 

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here:  IM Task