Grades 9-12
PrintPolynomials, quadratic equations, systems, and function families (exponential, logarithmic). Congruence and similarity proofs, trigonometry, complex numbers, and statistical inference. Advanced work includes limits, derivatives, trigonometric functions, and financial literacy.
Example Problems
Solve the following system of equations:
The base of a solid is the region enclosed by the graphs of and , between and .
Cross sections of the solid perpendicular to the x-axis are rectangles whose height is .
What definite integral gives the volume of the solid?
Cross sections of the solid perpendicular to the x-axis are rectangles whose height is .
What definite integral gives the volume of the solid?
A fair coin is flipped 5 times. Let be the number of heads. What is the expected value of ?
Let and let be the inverse function of . Notice that .
Find .
Find .
I have a cockroach problem in my living room.
Don't ask how, but I counted 64 cockroaches today, and they are growing at a rate of 25% every day.
How many cockroaches will I have after three days?
Don't ask how, but I counted 64 cockroaches today, and they are growing at a rate of 25% every day.
How many cockroaches will I have after three days?

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