Content

CONTENT

Algebra I

1st Quarter: Integers and rational numbers, solving equations and applications, absolute value and proportions

2nd Quarter: Solving inequalities, exponents, scientific notation, and polynomial operations: addition, subtraction, and multiplication

3rd Quarter: Polynomial factoring, solving quadratics by factoring, applications, the coordinate plane, lines, and graphing

4th Quarter: Systems of equations and inequalities, more inequalities and absolute value, simplifying rational expressions and their operations

Algebra II

1st Quarter: Real numbers, exponents and properties, equations and inequalities, relations and functions

2nd Quarter: Linear equations in two variables, graphs and equation writing, systems of equations and problem solving, polynomials and polynomial equations

3rd Quarter: Rational expressions and equations, powers, roots, and complex numbers

4th Quarter: Quadratic equations and functions, transformations, midpoint and distance formulas

Trigonometry

1st Quarter: Trigonometric definitions and functions, calculator use, solving triangles and applications

2nd Quarter: Radian measure, angular velocity, graphing and identities

3rd Quarter: Identities and proofs, Law of Sines and Cosines, area and vector sums

4th Quarter: Inverse functions, trigonometric equations, polar equations, complex numbers in polar form

Precalculus

1st Quarter: Graphs, equations, inequalities, applications, lines, linear regression, circles and integration of technology.

2nd Quarter: Functions, transformations, graphing techniques, mathematical models, quadratic, polynomial and rational functions, curve fitting and analyzing graphs.

3rd Quarter: Zeros of polynomial functions, complex zeros, polynomial and rational inequalities, exponential and logarithmic functions, and applications.

4th Quarter: Conics, systems of equations and inequalities, matrices, sequences and series.

Statistics

1st Quarter: Describing, exploring and computing data, probability and compliments

2nd Quarter: Counting and probability distributions, normal probability distributions, estimates and sample size

3rd Quarter: Hypothesis testing for one and two samples, correlation and regression, confidence intervals

4th Quarter: Multinomial experiments and contingency tables, ANOVA, nonparametric statistics

Calculus

1st Quarter: Prerequisites for calculus, limits and continuity, derivatives and rates of change

2nd Quarter: Derivatives of trigonometric functions, chain rule, implicit differentiation, derivatives of logarithmic and exponential functions, applications: graphing, modeling, optimization, and related rates.

3rd Quarter: Estimating finite sums, Riemann sums, Trapezoidal rule, Definite Integral and antiderivatives, integration by parts, integration by substitution.

4th Quarter: Differential equations and mathematical modeling, applications of definite integral, areas in the plane.