Review Sheet for Math Quiz 1, Maestro Summer Program 2016
Colorado State University, Pueblo
It would be a good idea to be comfortable with the problems from the math
worksheets you did this week. It also makes sense to look over the
class schedule/summary and make sure you understand
the ideas mentioned there.
In addition, here are things to know how to do:
- Know what it means for two triangles to be similar, how to check if that
is true, and what that knowledge enables you to calculate.
- Know what the Pythagorean Theorem says — hypothesis and conclusion
— and how to use it to compute the length of third side of a triangle
when you know the lengths of two sides.
- What the Cartesian coordinate system is, how to find points with given
coordinates or coordinates for given points.
- How to use the equation $y=mx+b$ of a line, including what are the slope
and $y$-intercept, how to sketch a line, and how to find the intersection
point of two lines.
- How to work with exponentials: meaning of $a^b$ and powers of powers.
- Applications of similar triangles, the Pythagorean Theorem and lines in
appropriately chosen coordinate systems to solving problems about sizes and
positions of things in space.
- Applications of linear models in situations which are not purely
geometric, such as economics.
- Manipulating exponentials and applying them to simple models of
exponential growth and decay, including appropriately choosing the
base of the exponential and the initial condition.