Mathematics

In our highly technological age, a strong foundation in mathematics is more important than ever.  Students leaving Kamehameha Schools Maui are more likely than ever to use mathematics in their work and in their everyday lives as they operate computers, plan timelines and schedules, read and interpret data, compare prices and manage personal finances, and perform other problem-solving tasks.  To face the challenges of an ever-changing future, high school students need excellent preparation.  What they learn in KSM math classes—and how they learn it—provides the foundation to face that exciting future.  Students learn to reason abstractly and quantitatively.  They learn to articulate and define problems then persevere in solving them.  Students learn to construct sound, viable arguments as well as to critique the reasoning of others.  Furthermore, through the math curriculum, they learn to recognize patterns, construct mathematical models, use appropriate tools strategically, and attend to precision in their work.

Algebra I [MH01201] – Year A/B

1 Credit.  Algebra I is an introductory mathematics course organized around families of functions, with special emphasis given to linear and quadratic functions. Through investigations, students learn to represent these functions in a variety of ways—as verbal descriptions, equations, tables, and graphs. They also learn to model real-world situations utilizing linear and quadratic functions in order to solve problems arising from these situations. Topics covered in Algebra I include proportions, data analysis, variation and graphing, linear equations and functions, systems of equations, inequalities, exponents and laws of exponents, basic probability, introduction to quadratic and statistics. School-owned TI-83 or TI-84 graphing calculators will be made available to students.  Prerequisite: Placement test or teacher recommendation.

Geometry [MH01221] – Year A/B

1 Credit.  Geometry introduces key geometry concepts and mathematical reasoning through an investigative approach to learning that utilizes real-life situations.  Students use their geometry textbook and computer software to investigate topics such as:  the properties of circles, polygons, and triangles; angle relationships; transformation; area; perimeters; volumes; and the Pythagorean Theorem. Students develop quality definitions and conjectures and then produce paragraph proofs and flow charts to solve geometry problems.  The course helps students prepare for the academy environment through the use of technology, problem solving, and projects.  Prerequisite: Algebra I or teacher recommendation.  Required purchase: ruler, compass and a protractor.

Algebra II [MH01202] – Year A/B

1 Credit.  Advanced course integrates the many concepts of algebra with other topics, such as statistics, data analysis, functions, discrete mathematics, geometry, probability and trigonometry.  Students work with data, real world situations and applications where investigations precede formulas and expressions.  School owned TI-83 Plus or TI-84 Plus graphing calculator will be made available to studentsPrerequisite: Geometry.

Pre-calculus with Trigonometry [MH01243] – Year A/B

1 Credit.  This course strengthens algebra skills and investigates such topics as data analysis, exponential and polynomial functions, elementary, periodic and polar equations, through both traditional and application based methods.  This class is highly recommended if pursuing a field in  business or science.  Prerequisite:  C- or better in Algebra II.

AP Calculus AB [MH01274] – Year A/B

1 Credit. The overall goal of this course is to help students understand and apply the 3 big ideas of AB Calculus: limits & continuity, derivatives and integrals & the Fundamental Theorem of Calculus. Embedded throughout these big ideas are the mathematical practices for AP Calculus: reasoning w/definitions & theorems, connecting concepts, implementing algebraic/computational processes, connecting multiple representations, building notational fluency, & communicating mathematics orally & in well-written sentences. All students are required to complete summer work reviewing Pre-Calculus and Algebra 2 concepts prior to entry in this course.  Prerequisite: UHMC Placement into Math 205 or A in Pre-calculus with Trigonometry.

Calculus IMATH 205 [MH01240] – Semester Daily

1 Credit.  This advanced course explores the basic concepts of differential and integral calculus, with emphasis on differentiation. The various functions are revisited, focusing on differentiation and its applications. It is highly recommended if pursuing a field in business or science .  Course is offered through UH Maui College.  Upon successful completion, students earn 4 college credits.  Prerequisites: (KS) C grade or better in Pre-calculus with Trigonometry, UH Maui test placement at MATH 205 and ENG 100; teacher recommendation.

Statistics – MATH 115 [MH01272]  – Semester Daily

1 Credit.  This intermediate course is designed to present basic statistical topics including measures of central tendency and dispersion, classification of variables, sampling techniques, elementary probability, normal and binomial probability distributions, tests of hypothesis, and linear regression and correlation.  Course is offered through UH Maui College.  Students earn 3 college credit hours upon successful completion.  Prerequisite: (KS) C grade or better in Algebra II, UH Maui test placement at MATH 27 or MATH 100 and ENG 100, or teacher consent; teacher recommendation.

 

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