Pre-Calculus
Pre-Calculus is designed to provide the serious mathematics student with the essential mathematical background needed in calculus and other college level courses. This course culminates in the optional AP exam, which gives students an opportunity to earn college math credit. This course prepares students for success in AP Calculus, in which students can earn college credit.
Prerequisites: A/B in Algebra 2
1 credit
Essential Standard
A-‐SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression..
A-‐REI.11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g. using technology to graph the functions, make tables of the values, or find successive approximations. Include cases when f(x) and/or g(x) are linear, rational, polynomial, absolute values, exponential, and logarithmic functions.«
A-‐APR.2. Know and apply the Remainder Theorem: For a polynomial p(x) and division by x - a is p(a) so p(a) = 0 if and only if (x - a) is a factor of p(x).
F-BF.5. (+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
G-SRT.11. (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
F-‐TF.1. Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
.F-‐TF.5. Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.«
F-‐TF.8. Prove the Pythagorean identities and use them to find sin(θ), cos(θ) or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
S-CP.9. (+) Use permutations and combinations to compute probabilities of compound events and solve problems.
A-‐REI.7. Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of
DURATION
ongoing
2 weeks
2 weeks
2 weeks
1-2 weeks
2 weeks
2 weeks
3 weeks
2-3 weeks
2 weeks