standard_description: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
problem_activity: For each verbal expression below, write an algebraic expression.
a.   Four times the difference of 8 and
$$x$$
.
b.   Twice
$$m$$
increased by the square of
$$n$$
.
c.   The sum of 10 and the quotient of
$$x$$
and 4.
d.   The product of the square of
$$n$$
and
$$m$$
, subtracted from 5.


aligns: no