Course Catalog and Curriculum Guide ## MATHEMATICS COURSES

##### AP CALCULUS AB All Academies

AP Calculus (AB) is comparable to two-thirds (20 weeks) of a year of college calculus. Topics covered include: analysis of graphs, limits of functions, asymptotic and unbounded behavior, continuity as a property of functions, derivatives (at a point, as a function, applications and computation of, also second derivatives), Riemann sums, interpretation and properties of definite integrals, applications of integrals, Fundamental Theorem of Calculus, techniques of antidifferentiation and numerical approximations to definite integrals. Students must express solutions graphically, numerically, analytically, and verbally. Graphing calculators will be used extensively. In order to be successful students need a thorough understanding of Algebra and Trigonometry. (Recommended prerequisite: B or better Precalculus)

The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data . Students are exposed to four broad conceptual themes:

1 . Exploring Data: Describing patterns and departures from patterns

2 . Sampling and Experimentation: Planning and conducting a study

3 . Anticipating Patterns: Exploring random phenomena using probability and simulation

4 . Statistical Inference: Estimating population parameters and testing hypotheses

##### ALGEBRA 1

This is a required 9th grade course, topics covered include algebraic, graphical, and numerical representations of algebraic expressions and functions. The primary focus is the study of the properties of real numbers, linear functions, solving multi-step equations, systems of linear equations and inequalities, exponential functions, quadratic functions, polynomials, and factoring. Techniques of problem solving and applications are included throughout the course. Graphing calculators will be used.

##### ALGEBRA 2

This is a required 10th grade algebra course. Topics covered include algebraic, graphical, and numerical representations of algebraic expressions and functions. The primary focus is the study of rational functions, exponential functions, logarithmic functions, and inverse variations, conic sections (circles, parabolas, ellipses, and hyperbolas). Techniques of problem solving and applications are included throughout the course. Graphing calculators will be used.

##### ALGEBRA CONCEPTS

Algebra Concepts course is an introduction to basic algebra concepts and a review of arithmetic algorithms. The course is designed to help 9th grade students overcome weakness in preparation in mathematics, emphasizing the concepts necessary to be successful in Algebra I and II. The course helps students to develop good mathematical study skills and learning strategies as an integral part of this course. The course begins with a brief review of the number system and operations with whole numbers, fractions, decimals, positive and negative numbers. Eventually covering rational and linear exponents, ratios, proportions and percentages; solving simple and complex equations with one variable. Second semester follows the Common Core for Algebra 1 by addressing Solving Equations/Inequalities, Function Essentials, Linear Function Applications and Essentials, Systems of Linear Equations. This course is structured to meet the needs of the students.

College Concepts is a senior course for the college bound senior that did not meet college readiness level on their SAT. The course works alongside Henry Ford College in preparing students for necessary math skills needed for college level courses.

College Concepts covers Elementary and Intermediate algebra skills.

The Basics

Linear Equations and Inequalities

Linear Equations and Inequalities in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring

There are two goals for the course in order to receive a waiver for MATH 110 at Henry Ford.

The student must maintain an 80% for the duration of the course

The student must earn a minimum of 70% on the cumulative final.

##### GEOMETRY

This is a required 11th grade course. Students examine the properties of two- and three-dimensional objects. Proof and logic, as well as investigative strategies in drawing conclusions are stressed. Properties and relationships of geometric objects include the study of: (1) points, lines, angles and planes; (2) polygons, with special focus on quadrilaterals, triangles, right triangles; (3) circles; and (4) polyhedra and other solids.

##### HONORS ALGEBRA 2

This course covers the same concepts as Algebra 2, however, at a faster pace and in greater depth. In addition, the study of trigonometry is also included (right triangle trig, unit circle, radian measure, trig identities, trig equations, law of sines, and law of cosines).

##### HONORS GEOMETRY

This class covers the same concepts as Geometry, however, at a faster pace and in greater depth.

##### MATH PLUS 9 (INTERVENTION)

This elective course is a supplemental mathematics class designed to give 9th grade students additional instruction/exploration/learning time to be more successful with Algebra 1. This class will look at the concepts as they are being done in Algebra 1 but will break them apart more thoroughly to revisit missed concepts from middle and elementary school that are embedded in the Algebra 1 concepts that students may be lacking. Algebra 1 concentrates on the application of algebraic concepts in problem solving.

##### PRE-CALCULUS 1, 2 All Academies

Pre-calculus is mainly concerned with developing students’ understanding of the concepts that lead into calculus and providing experience with their methods and applications. Students will be actively engaged in problem solving, reasoning, connecting and communicating mathematically as they explore families of functions. Special emphasis will be on analysis of graphs of functions, linear, quadratic, polynomial, exponential, logarithmic functions, rational, exponential, logarithmic functions, and trigonometric functions, analytic Trigonometry, applications of trigonometry, law of sine and cosine, parametric equations and polar coordinates, systems and matrices, conic sections: parabolas, ellipses and hyperbolas, Discrete Mathematics sequences and series; if time permitted an introduction to calculus: limits, derivatives, and integrals. (Recommended prerequisite: B or better in Honors Algebra 2 and Honors Geometry)