Title: Prerequsites for Calculus Quiz
Students will take this self-assessment to make sure they are prepared to take Calculus.
Standard(s): [MA2013] PRE (9-12) 13: (+) 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.) [A-APR5] [MA2013] PRE (9-12) 33: Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1, and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle. [F-TF8] (Alabama) [MA2013] PRE (9-12) 3: (+) Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints. [N-CN6] [MA2013] PRE (9-12) 14: (+) Represent a system of linear equations as a single matrix equation in a vector variable. [A-REI8] [MA2013] PRE (9-12) 20: Determine the inverse of a function and a relation. (Alabama) [MA2013] PRE (9-12) 22: (+) Read values of an inverse function from a graph or a table, given that the function has an inverse. [F-BF4c] [MA2013] PRE (9-12) 24: (+) Understand the inverse relationship between exponents and logarithms, and use this relationship to solve problems involving logarithms and exponents. [F-BF5] [MA2013] PRE (9-12) 25: Compare effects of parameter changes on graphs of transcendental functions. (Alabama) [MA2013] PRE (9-12) 26: Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama) [MA2013] PRE (9-12) 27: Use the sum, difference, and half-angle identities to find the exact value of a trigonometric function. (Alabama) [MA2013] PRE (9-12) 34: (+) Prove the addition and subtraction formulas for sine, cosine, and tangent, and use them to solve problems. [F-TF9] [MA2013] PRE (9-12) 12: Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.* (Extend to infinite geometric series.) [A-SSE4] (Alabama)