Integrated Math 1 (grade 9)

Resource: Holt Mcdougal Algebra 1, Holt Mcdougal Larson Geometry

Course Description:

It is the first course in the High School Integrated Math Program. Students will understand and work on essentials of geometry, reasoning and proof, parallel and perpendicular lines, and congruent triangles. Also, this course covers basics of algebra 1: solving expressions, equations, inequalities, systems of equations and inequalities, linear functions, quadratic functions and equations, factoring polynomials, data analysis, and probability.

 

Geometry (grade 9)

Resource: Holt Mcdougal Larson Geometry

Course Description:

This course emphasizes two- and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve problems. By the end of this course, the students are able to solve practical problems involving angles, use angle relationships to determine if two lines are parallel, construct and judge the validity of a logical argument, investigate, identify, and prove congruence and similarity, apply the Triangle Inequality properties to solve practical problems, solve practical problems involving right triangles, use properties of quadrilaterals, use polygon interior and exterior angle measures to solve problems, investigate and solve practical problems involving circles, use formulas for surface area and volume to solve problems, make a model of a 3-d figure from a 2-d drawing and vice versa, solve problems involving symmetry and transformations, investigate Non-Euclidean Geometries.

 

Integrated Math 2 (grade 10)

Resource: Holt Mcdougal Larson Algebra 2, Holt Mcdougal Larson Geometry

Course Description:

It is the second course in the High School Integrated Math Program.  Students work on the following topics: quadratic functions and equations, polynomials and polynomial functions, rational exponents and radical functions, exponential and logarithmic functions, relationships within triangles, similarity, right triangle and trigonometry, quadrilaterals and transformations.

 

Algebra 2 (grade 10)

Resource: Holt Mcdougal Larson Algebra 2.

Course Description:

The content of the course is organized around families of functions, including linear, quadratic, exponential, logarithmic, radical, and rational functions. As students study each family of functions, they learn to represent them in multiple ways – as verbal descriptions, equations, tables, and graphs. They also learn to model real-world situations using functions in order to solve problems arising from those situations. Algebra 2 includes sequences, conic sections, probability and data analysis as well as numerous examples and exercises involving geometry and trigonometry.

 

Integrated Math 3 (grade 11)

Resource: Holt Mcdougal Larson Algebra 2, Holt Mcdougal Larson Geometry

Course Description:

It is the final course in the High School Integrated Math Program.  This course has an algebraic part that includes: trigonometric functions including definitions, identities, and trigonometric equations, applications, as well as properties and graphs of trigonometric functions and their inverses, quadratic relations and conic sections which include graphing and writing equations of circles, parabolas, hyperbolas, and ellipses. Also, this course covers matrices, data analysis, statistics, sequences, and series with their applications. The geometric part would be properties and attributes of circles, which include properties of tangents, chords, inscribed angles and polygons, angle relationships, as well as measuring lengths, surface area and volumes of different shapes.

 

Pre-Calculus (grade 11)

Resource: Glencoe  Mcgrow Hill  Pre-Calculus

Course Description:

The course focuses on the algebra of functions, including polynomial, rational, exponential, and logarithmic functions. The course also contains systems of equations and inequalities, linear and quadratic equations and inequalities, graphs of polynomials, and the binomial theorem. This course also covers trigonometric functions including definitions, identities, and trigonometric equations, applications, as well as properties and graphs of trigonometric functions and their inverses. Students learn the Law of Sines, Law of Cosines, polar coordinates, and matrices.

 

Trigonometry (grade 11)

Resource: Trigonometry by Lial, Hornsby, Schneider

Course Description:

This course is designed to prepare students for the calculus sequence.  The six trigonometric functions are studied with the goals of developing a deeper understanding of both general function behavior and periodic function behavior, exploring those applications that have trigonometric models, and acquiring further proficiency with symbolic manipulation. By the end of the course the students compute the values of the six trigonometric functions for key angles measured in both degrees and radians,  graph all six trigonometric functions and their transformations, use the basic trigonometric identities to verify other trigonometric identities, solve trigonometric equations, solve right and oblique triangles, plot points and graph equations in the Polar Coordinate system, graph pairs of parametric equations, use the concepts of trigonometry to solve applied problems.

Calculus/AP Calculus (grade 12)

Resource: Ron Larson Calculus AP Edition

The main goal of the course is to prepare the students for college level mathematics and enhance them to connect different mathematical concepts. This course provides students’ understanding of three big ideas of Calculus: limits, derivatives, integrals, and the Fundamental Theorem of Calculus. They learn how to apply the mathematical practices for Calculus: reasoning with definitions and theorems, connecting concepts, implementing algebraic/computational process, connecting multiple representations, building notational fluency, and communicating. Throughout the course students are required to use multiple approaches to the understanding of calculus concepts. Students must be able to express solutions in numerical, graphical, analytical, and written forms. They learn how to use technology to check results, justify and support conclusions, and estimate answers.

 

 

AP Statistics (grade 12)

Resource: Bock, Velleman, De Veaux Stats: Modeling the World AP Edition

Course Description:

This course provides students’ understanding the main ideas of Statistics: exploring and understanding data, exploring relationships between variables, randomness and probability, inferences, and regression. They learn how to apply the mathematical practices for Statistics: reasoning with definitions and theorems, connecting concepts, implementing algebraic/computational process, connecting multiple representations, building notational fluency, and communicating.

 

 

Business Mathematics (grade 12)

Resource: Walter H. Lange Ed.S. Temoleon G. Rousos Ed. D Mathematics for Business and Personal Finance -Glencoe McGraw-Hill.

Course Description:

Business Mathematics is a three-trimester high school course that is designed to optimize student learning in mathematics skills that can be applied to practical business and personal finance situations. Students will learn to increase their conceptualization skills to solve mathematical problems related to business and personal finance activities which can be used every day of their lives. To accomplish this, the course provides instructions in each of the following content areas: gross income, net income, record keeping, checking account, car purchase, marketing, services, charge accounts and credit cards, and sales.