## Mathematics Courses

### Math 87 – 7th grade

*Pre-Requisite: Math 76 desired but not required*

Math 87 is taught at the Junior High level using Saxon Course 2 as its primary text. This class is designed for incoming 7th and 8th grade students. The students shall use skills associated with understanding numbers, basic problem solving with whole numbers, fractions and decimals, proportions, probability, and area of two and three-dimensional geometric figures. Students are introduced to percents and algebraic equations.

### pre-algebra - 8th grade

*Pre-Requisite: Math 87 or placement test. *

Pre-Algebra continues an orderly study of mathematics as students move from a focus on computational skills to an application of these skills in an algebraic problem-solving environment. The topics covered in this course help students develop an understanding of basic principles of algebra along with an introduction to other topics including geometry, proportions, probability, and basic data analysis. Larson Pre-Algebra is the primary text for this course.

### Algebra 1 - 8th or 9th grade

*Pre-Requisite: Algebra .5 or placement test*

Algebra 1 continues an orderly study of mathematics as students move from Pre-Algebra into a more thorough application of algebraic principles. This course uses Larson Algebra 1 as its primary text. The topics covered in this course help students to solve and graph linear equations and inequalities both as individual problems and systems of equations. Higher degree polynomials are introduced and students learn how to graph, factor, and solve a wide variety of expressions including quadratic equations.

### Geometry - 9th or 10th grade

*Pre-Requisite: Algebra 1 *

Geometry emphasizes logical methods of thinking through deductive and inductive reasoning using theorems and postulates involving parallel and perpendicular lines, triangles, quadrilaterals, circles, and polygons. This course uses Larson Geometry as its primary text. The topics covered in this course help students develop an understanding of the fundamental principles of geometry and how it applies to their overall understanding of mathematics. This course may be taken prior to or concurrently with Algebra 2.

### Algebra 2 - 10th or 11th grade

*Pre-Requisite: Algebra 1*

Algebra 2 begins with a review and extension of topics from Algebra 1 and then moves into a study of real and complex numbers. This course uses Larson Algebra 2 as its primary text. Core concepts include a complete study of equations and inequalities involving polynomials, an introduction to exponential and logarithmic functions, rational and radical functions, conic sections, and probability. Preparation for Trigonometry and Pre-Calculus is the primary focus of this course.

### Pre-Calculus – 11th or 12th grade

*Pre-Requisite: Algebra 1 and Algebra 2*

Pre-Calculus prepares juniors for AP Calculus and seniors for college math entrance requirements. Pre-Calculus reviews, expands on, and then advances many of the topics learned in Algebra 2 and Geometry. The content focuses on polynomial, rational, exponential, logarithmic, and trigonometric functions, and provides an introduction to Calculus through limits, differentiation and some applications of differentiation.

### AP Calculus – 11th or 12th grade

*Pre-Requisite: Algebra 1 and Algebra 2, Pre-Calculus*

AP Calculus is the highest level math course offered at Hillcrest Academy. This course culminates in the AP Calculus AB national test. Success on the AP test leads to college credit, the maximum equivalent being a semester of college calculus. This course centers on limit processes. The idea of a limit is used to develop the operation of differentiation, and its opposite, antidifferentiation. In addition to applications of the derivative, this class considers differentiation and integration of natural logarithmic and exponential functions, which are applied to finding areas between curves and volumes of solids.

### Consumer Math

*Pre-Requisite: Algebra 1*

Consumer Math is a practical course on the management and understanding of personal finance. This course follows Algebra I and Geometry, which, along with Arithmetic, provide the basic math skills needed for life. The class covers a variety of relevant financial topics including budgeting, economical decision making, savings, and financing major commitments such as college education.