3.OA.D.9: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.

Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.

Example Problems
The sum of 4 consecutive even numbers is 44.
What is the first number of the sequence?
The sum of 5 consecutive odd numbers is 225.
What is the middle number in the sequence?
Fill in the blank:
The terms in pattern y are ____ times the terms in pattern x.

xy
84
126
168
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