Algebra 1: This one-year college preparatory course will help students to view algebra not only as a theoretical tool for analyzing and describing mathematical relationships, but they will also experience the power of algebraic thinking in a context of applications by studying the mathematical modeling of real world problems.
In the first semester of Algebra I, students are introduced to functions, using tables and graphs, multiple representations of functions, exploring linear functions, rate of change, the parent function, writing rules, connecting functions to equations and inequalities, using commutative, associative, and distributive properties to simplify expressions, solving simple equations with manipulatives and symbols, solving equations of the Form kx + c = b and kx + c = mx + b, looking closer at inequalities and comparing notations and methods.
The second semester of Algebra I introduces students to systems of linear equation, solving systems using graphs and tables, solving systems by symbolic methods, area and perimeter functions, the parent function multiplied by a constant, adding and subtracting a constant, multiple changes to the parent function, binomial operations, modeling with quadratic functions, solving quadratic equations, graphs of exponential functions, and modeling inverse variation data.
Algebra 1 is designed for 9th grade students but occasionally 7th and 8th grade students are prepared for this level of math course.
Geometry: This is a one-year college preparatory Geometry course for the accelerated mathematics student. The course content will include a rigorous in-depth study of geometric concepts from an algebraic perspective. Included in this course is a study of both two and three dimensional shapes, congruence, similarity, transformations and the relationships between geometric shapes.
The first semester of Geometry introduces students to points, lines and planes, segments and distances, angles and angle measures, patterns, perpendicular bisectors and angle bisectors, points of concurrency in triangles, conditional statements, geometric systems, isometrics, parallel lines, slopes of lines, composite transfer, triangle properties, isosceles and equilateral triangles, proving triangles congruent, and constructing perpendiculars and parallels. The second semester of Geometry covers similar polygons, right triangles, the Pythagorean Theorem, special right triangles, right triangle trigonometry, properties of quadrilaterals, properties of parallelograms, proving quadrilaterals and parallelograms, properties of special parallelograms, trapezoids and kites, circles in the coordinate plane, properties of tangents, areas of plane figures, circles: circumference and arc length, circles, areas, sectors and segments, representing 3-D figures, prisms and cylinders in the real world, pyramids and cones in the real world, sphere and plane sections, surface area of cylinders and prisms, surface area of pyramids and cones, volumes of cylinders, prisms, pyramids and cones, coordinates and dimensional change, and three-dimensional coordinates.
Pre-Requisite: Satisfactory completion of Algebra 1.
Algebra 2: This is a one-year college preparatory course that will help students view algebra not only as a theoretical tool for analyzing and describing mathematical relationships, they will also experience the power of algebraic thinking in the context of application by studying the mathematical modeling of real world problems.
Algebra 2 is usually the third math course that is taken in High School and builds upon the information and skills students have acquired in Algebra 1. This course will focus on the concepts of functions and relations with emphasis on linear, quadratic, exponential, logarithmic, radical, and rational functions.
Algebraic concepts are used in a variety of real-world situations than can be modeled mathematically. The students will learn about rational functions and their properties, investigate the effects of horizontal and vertical translations, solve rational equations and inequalities by graphing and by solving algebraically, compare direct and indirect relations, define the General Exponential Function using Carbon-14 dating, population and other models, discover the number e, use continuous compound interest, use logarithmic functions as the inverse of an exponential function with common and natural logarithmic functions, learn how to use the properties of logarithm and using properties of logarithms in applications, and define conics such as parabolas, ellipses, circles and hyperbolas using the General and Standard Forms of the Equations of a Conic.
Pre-Requisites: Algebra 1 and Geometry
Pre-Calculus: Pre-Calculus is designed to prepare college-bound students for a first course in Calculus. It combines the topics of trigonometry, elementary analysis, and analytic geometry. Pre-Calculus builds on the concepts and skills learned in Algebra 1, Geometry, and Algebra 2. An intuitive base and some working tools for the study of more advanced mathematics are developed.
The students will use system of inequalities to solve linear and quadratic inequalities, solve polynomials and rational inequalities, use rational, exponential, and logarithmic function to prove properties of logarithms and to solve exponential growth and decay, graph polar equations in the form of complex numbers using products, quotients, powers and roots of complex numbers, use conics to solve equations on circles, ellipses, hyperbolas, and parabolas, solve problems using the basic operations of matrices and vectors, use sequence and series to identify arithmetic and geometric series, use limits of sequence, sums of infinite series and power series, and introduce students to Calculus using limits of a function of a real variable and limit theorems and find derivatives.
Pre-Requisites: Algebra 1, Geometry, and Algebra 2