Holy Spirit Preparatory School - Mathematics Department Courses

Personalized
Learning at
Holy Spirit Prep

The Mathematics Department at Holy Spirit Prep

Mathematics Department Courses MAT070 Pre-Algebra / MAT071 Pre-Algebra Honors/ MAT075 Advanced Pre-Algebra: Pre-Algebra helps to prepare students for the rigors of algebra and geometry. There is a steady progression that delivers course content in a manageable way. Topics covered include integers and exponents; rational and real numbers; data handling; shape and space; ratios, percents; and solving equations and inequalities. In addition, engaging and relevant use of technology, practical problems and visuals helps to emphasize the importance of mathematics in students’ very day lives whilst sharpening their analytical, communication and problem solving skills. TEXT: Bennett, Chard, Jackson, Scheer, Waits, Pre-Algebra (Holt, Rinehart and Winston, 2008) MAT100 Algebra I / MAT101 Algebra I Honors: This course is designed as an introduction to algebra from both a traditional and a graphics based approach. Topics include solving linear and non-linear equations and inequalities, factoring polynomials, and simplifying polynomial, rational, and radical expressions. TEXT: Burger, Chard, Hall, Kennedy, Leinwand, Renfro, Seymour and Waits, Algebra 1 (Holt, Rinehart and Winston, 2007) MAT200 Geometry / MAT201 Geometry Honors: The study of basic figures in Euclidean geometry including angle relationships, perpendicular lines, parallel lines, congruent triangles, quadrilaterals, similar polygons, right triangles, circles, areas of polygonal regions, areas and volumes of solids and geometric probability. TEXT: Burger, Chard, Hall, Kennedy, Leinwand, Renfro, Seymour and Waits, Geometry (Holt, Rinehart and Winston, 2007) MAT300 Algebra II / MAT301 Algebra II Honors: This course includes the study of functions, including their graphs and applications. The course includes the study of linear, quadratic, polynomial, radical, rational, exponential and logarithmic functions. Students are taught to model real world data with functions, and to use functions to make predictions. TEXT: Burger, Chard, Hall, Kennedy, Leinwand, Renfro, Seymour and Waits, Geometry (Holt, Rinehart and Winston, 2007) MAT400 Pre-Calculus / MAT401 Pre-Calculus Honors: This course involves a further study of algebra II including applications of polynomial, rational, radical, exponential, logarithmic and piecewise functions. This course further involves an intensive study of trigonometric and circular functions, inverse trigonometric functions, trigonometric identities and the application of those identities, the law of sines and cosines, transformations on graphs of trigonometric functions, vectors, complex numbers, and polar coordinates. TEXT Demana, Waits, Foley, Kennedy, Pre- Calculus: Graphical, Numerical, Algebraic (Pearson/Addison Wesley, 2006) MAT420 Calculus / MAT421 Calculus Honors/MAT425 Advanced Calculus: Upon completion of Honors Calculus, students will be able to work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal. They should understand the connections among these representations; understand the meaning of the derivative in terms of a rate of change and local linear approximation and they should be able to use derivatives to solve a variety of problems; understand the meaning of the definite integral as the net accumulation of change and should be able to use integrals to solve a variety of problems; understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus; communicate mathematics both orally and in well-written sentences and should be able to explain solutions to problems; use technology to help solve problems, experiment, interpret results, and verify conclusions; determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement; and develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment. Students completing MAT425 will have covered the key concepts of limits and continuity; derivatives and applications of derivatives. TEXT: Finney, Demana, Waits and Kennedy, Calculus: Graphical, Numerical, Algebraic (Pearson/Addison Wesley, 2006) MAT430 AP Calculus: In AP Calculus, students will use derivatives, a rate of change, and integrals, net accumulation of change, to solve a variety of problems. Students will explore the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus. Students will communicate mathematics both orally and in well-written sentences and will be able to explain solutions to problems. Students will model physical situations with functions, differential equations, and integrals. Students will use technology to help solve problems, experiment, interpret results, and verify conclusions. Upon completion of AP Calculus, students will be able to work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal. They should understand the connections among these representations; understand the meaning of the derivative in terms of a rate of change and local linear approximation and they should be able to use derivatives to solve a variety of problems; understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change and should be able to use integrals to solve a variety of problems; understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus; communicate mathematics both orally and in well-written sentences and should be able to explain solutions to problems; model a written description of a physical situation with a function, a differential equation, or an integral; use technology to help solve problems, experiment, interpret results, and verify conclusions; determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement; and develop an appreciation of calculus as a coherent body of knowledge. Students will be prepared to successfully complete the AP Calculus AB examination upon completion of MAT430. TEXT: Finney, Demana, Waits and Kennedy, Calculus: Graphical, Numerical, Algebraic (Pearson/Addison Wesley, 2006)	Department Links & Articles
	Math.com Hot Math Fractals Purple Math The Elements of Euclid Sierpinski Applet Sierpinski Meets Pascal History of Calculus AP Calculus Website Pre-Algebra from Another Dimension Holt, Rinehart and Winston Student Resources Online Scientific Calculator

© Holy Spirit Preparatory School 2008