standard_description: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
problem_activity: Problem 1
Randomly select a digit 0–9 (by using a ten-sided die, a spinner, or a random number generator). Whatever number it lands on, enter the digit in one of the eight spots below. After eight turns, the board becomes an addition problem with two 4-digit numbers to add together. The goal is to place the numbers in strategic places to get the highest sum without going over 10,000.
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Problem 2
Estimate. Then solve.
a.
$$\begin{align} 207,426 \\ {+ \ 128,744}& \\ \hline \end{align}$$
b.   252, 393 =
$$\square$$
− 747,607
c.
$$k$$
= 94,989 + 619,732 + 4,506
Problem 3
Tom Brady has 66,159 career passing yards. Peyton Manning, the all-time leading quarterback with the most career passing yards, has 5,781 more passing yards than Tom Brady does. How many passing yards does Peyton Manning have?


aligns: no