## Pre-Algebra

Maintaining skills in fundamental operations

Principles of mathematics

English and metric measures

Basic algebraic concepts

Signed numbers

Powers and roots

Like and unlike terms

Multiplying and dividing monomials

Problem-solving strategies

Word problems solved algebraically

Reading and constructing graphs

Graphical scale drawings

Statistics and probability

Business math

Earning income

Banking

Stocks and bonds

Insurance

Basic plane and solid geometric concepts

Properties of geometric figures

Constructing geometric figures

Perimeter, area, surface area, and volume

Pythagorean rule

Sine, cosine, and tangent

Scientific notation

## Algebra I

Linear equations in one variable

Algebraic numbers

Graphs

Formulas

Positive and negative numbers

Fundamental operations

Special products and factoring

Fractions

Ratio, proportion, and variation

Linear systems of equations

Powers and roots

Exponents and radicals

Quadratic equations

Numerical trigonometry

Mathematics in an Age of Science

## Geometry

Basics of Geometry

Reasoning and Proof

Perpendicular and Parallel Lines

Congruent Triangles

Properties of Triangles

Quadrilaterals

Transformations

Similarity

Right Triangles and Trigonometry

Circles

Area of Polygons and Circles

Surface Area and Volume

## Algebra II

Algebra II is the bridge between Algebra I and higher level mathematics such as Trigonometry and Calculus. Students will be studying concepts mastered in Algebra I in more depth, as well as focusing on new concepts necessary in upper level mathematics courses. For the Christian student, studying Algebra II and all mathematics can easily demonstrate the existence of a Creator with purpose, design, and order. Specifically, over the course of a year, students will study equations, functions, inequalities, and their graphs, matrices, conic sections, sequences and series, probability and statistics, and basic trigonometry.

## Pre-Calculus:

Pre-Calculus is a year-long, academically rigorous course, with one semester a continuation of the Algebra curriculum, and the other semester covering trigonometry. The fundamental objectives are to help students truly understand the fundamental concepts of algebra, trigonometry, and analytical geometry, and to foreshadow important ideas of calculus. The use of technology will be strongly emphasized, as will standard analytical techniques. The course will use graphical, numerical, and algebraic modeling of functions.