standard_description: Know and apply the Binomial Theorem for the expansion of (x + y)^(n )in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle. (The Binomial Theorem can be proved by mathematical induction or by a combinatorial argument.)
problem_activity: Problem 1
a.   Look at the number line below:
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Based on where 0 and 100 are, what number do you think the question mark is on? Explain your choice.
b.   Look at the number line below:
[IMG]
Based on where 0 and 1,000 are, what number do you think the question mark is on? Explain your choice.
Problem 2
a.   What is the location of the following point?
[IMG]
b.   What is the location of the following point?
[IMG]
Problem 3
a.   Plot 27,361 on a number line from 27,360 to 27,370.
b.   Plot 27,361 on a number line from 27,300 to 27,400.
c.   Plot 27,361 on a number line from 27,000 to 28,000.
d.   Plot 27,361 on a number line from 20,000 to 30,000.


aligns: no