# Mathematics

### Math 7

The seventh-grade math course reviews and builds on elementary concepts.  Students expand their knowledge of numbers and place values using exponents and scientific notation. Students work with all four operations of whole numbers, fractions, decimals, percents, rational numbers, and algebraic expressions.  Additional units of study include measurement and statistics.

### Math 8

This course builds on the seventh-grade course including operations on whole numbers, fractions, decimals, percents, rational numbers and algebraic expressions. Students learn to plot points on coordinate planes and use coordinate planes to solve algebraic equations with two variables.  Additional units of study include geometry and probability.

### Algebra 1

A study of equations, inequalities, linear and quadratic functions, exponents, polynomials, and factoring.  The study of functions then expands to include exponential, radical and rational functions and equations.  Students are also introduced to data analysis and probability.

### Geometry

A study of parallel and perpendicular lines, triangle congruence, properties of triangles, quadrilaterals and other polygons, similarity, right triangles and trigonometry, circle geometry, logic, spatial reasoning and transformational geometry.  Formal proofs, coordinate geometry, and constructions are applied to topics throughout the course.

### Algebra 2 & Trigonometry

Algebra and Trigonometry provide a review of algebraic principles and adds the concepts of complex numbers, negative exponents, and rational expressions.  It provides a review of geometric concepts by exploring the properties of circles, chords, and tangents.  It expands exposure to probability and statistics by introducing Bernoulli experiments and the Binomial Theorem, as well as the various measures of dispersion.  It introduces the concepts of functions, logarithms, and trigonometry.

### Pre-Calculus

Pre-calculus is an advanced course to naturally follow Algebra 2 & Trigonometry.  The main areas include advanced trigonometry and advanced algebra.  Main topics in algebra include functions, solving polynomials of higher degrees, the Fundamental Theorem of Algebra, and analyzing exponential and logarithmic functions, including applications such as population growth and compound interest. Trigonometric topics include trig functions based on the unit circle, rotational motion, and analyzing conditional trig equations and identities. Other topics include complex numbers and DeMoivre’s Theorem and a unit on Conics. There is an emphasis on proofs and derivations of theorems.

### SUPA Calculus

SUPA Calculus is a two-semester high school class that gives seniors the opportunity to earn Syracuse University credit for the course.  The syllabus covers the same topics as first-semester freshman calculus as taught on the SU campus and, while taught by the Faith Heritage faculty, is under the supervision of a faculty member from the University. Topics include the following:  functions and their limits; derivatives, optimization, related rates, rectilinear motion, indefinite and definite integrals, areas, volumes.  All students advanced in math are expected to take this course.

### Consumer Math

Consumer Math covers the financial transactions encountered in life, which range from buying food and clothing to taking out loans for cars and homes as well as saving for retirement.  Students learn to budget for effective use of financial resources and to develop a consistent savings plan.  Calculating income taxes, providing adequate insurance and wise investment planning are also included, helping students to become good stewards of the resources that God has entrusted to their care. Course availability subject to change on an annual basis.