standard_description: Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
problem_activity: A random group of 6th and 8th grade students at a school are asked the question: Do you prefer to complete your homework on a computer or on paper?
Of the 56 sixth graders, 18 answered computer and 38 answered paper.
Of the 60 eighth graders, 52 answered computer and 8 answered paper.
a.   Create a two-way table to represent the data. Label your rows as 6th graders and 8th graders.
b.   What is the proportion, of all of the students, who are in 8th grade and prefer to complete their homework on a computer?
c.   Of the students who prefer to complete their homework on paper, what proportion are in 6th grade?
d.   A student is selected at random from either the 6th or 8th grade at this school. What do you predict is this student's  preferred method of completing their homework? Explain your reasoning.


aligns: no