KAILUA HIGH SCHOOL

Placement: Math courses at Kailua High School are rigorous and placement is important. Students should consult current math teacher for recommendation of math placement.

General Requirements and Expectations: Students are required to bring their textbooks, pencils, and notebooks/binder/folder paper to each class period. All assignments are to be completed with thought, neatness, and accuracy. When absent, make-up work is the responsibility of the student. Students are expected to exhibit good study habits and work ethics. Teachers may require other specific supplies such as compass, protractor, rulers and/or calculators. Courses must be taken in sequence. Students are expected to spend at least 1 hour studying and doing homework outside of class for each hour of instruction. Every student is required to successfully complete three credits of mathematics for their high school diploma. All math courses are college preparatory. The math courses emphasize critical thinking/problem solving skills, literacy and collaborative teamwork. All courses address either the Hawaii Content and Performance Standards (HCPS) or Common Core State Standards (CCSS). The math content standards for HCPS are: 1) Number and Operation; 2) Measurement;

3) Geometry and Spatial Sense; 4) Patterns, Functions & Algebra; and 5) Data Analysis, Statistics & Probability. The math content standards for CCSS are:

1) Number and Quantity; 2) Algebra; 3) Functions; 4) Geometry; and 5) Statistics and Probability.

Description: Grades 9-12. These two half elective credit courses must be taken prior to Algebra 1 or Algebra 1 Honors. This course strengthens students’ pre-algebra background and covers early concepts of functions in multiple representations of which are essential for success in subsequent algebra courses. Lessons are teacher-led, discoverybased and include cooperative learning experiences. 

Description: Grades 10-12. This one credit course is recommended for incoming 9th graders who have been recommended by their current teacher. It must be taken after Math Workshop. This course maintains a fast and rigorous pace, with frequent enrichment activities and problems. Topics include: 1) Modeling with functions, 2) Linear functions, 3) Quadratic functions, and 4) Solving equations/inequalities in 2 variables. Lessons are teacher-led, discovery-based and include cooperative learning experiences.

Prerequisite: Credit in Algebra 1 (recommended B or better). For incoming 9thgraders, a recommendation from

current math teacher.

Description: Grade 9-12. This course maintains a fast and rigorous pace. Topics include development and use of the deductive reasoning process. Geometric concepts are learned through understanding the properties of geometric figures. Topics are similar to Geometry with frequent enrichment activities included.

Prerequisite: Credit in Algebra 2 and Geometry.

Description: Grades 11-12. This course emphasizes the use of probability in making decisions and students will learn strategies for analyzing and interpreting data. Students will use a scientific calculator. Topics include graphing and charting; collection and organization of data and measures of central tendencies; dispersions; frequency distributions; and correlation and regression. Students will complete projects to help them understand the concepts and see relevant applications.

Prerequisite: Credit in Trig/Pre-Calculus.

Description: Grades 11-12. This fast and rigorous course is the prerequisite to AP Calculus. This course is the equivalent of one semester college level Calculus. Students must take the Advanced Placement Mathematics Examination in May for an approximate fee of $89.00. If students pass the exam, they may earn college credit. Students must have a graphing calculator. Topics include limits, continuity, differential calculus, derivatives with their applications, and integrals with their applications. Students must be enrolled concurrently in Directed Studies Math A/B (MCD1060A/B)

Description: Grades 10-12. This one credit course must be taken after Math Workshop. This course strengthens and extends students’ background of the algebraic concepts and skills, making generalizations, and uses numbers in a variety of situations. Functions are covered extensively using multiple representations (symbolic, graphical, tabular, verbal). In addition, other topics include: 1) Modeling with functions, 2) Linear functions, 3) Quadratic functions, and 4) Solving equations/inequalities in 2 variables. Lessons are teacher-led, discovery-based and include cooperative learning experiences.

Prerequisite: Credit in Algebra 1.

Description: Grades 11-12. Students will develop an understanding of geometry through deductive reasoning; utilize formulas and examine relationships between geometric figures and apply geometric knowledge in guided activities. Topics include congruence; similarity; right triangles and simple trigonometry; circles; expressing geometric properties with equations; geometric measurement and dimensions; and modeling in geometry. Students will engage in cooperative learning experiences, and lessons are teacher-led and discovery-based. Students will complete projects to help them understand the concepts and see relevant applications.

Prerequisite: Credit in Algebra 1 and Geometry.

Description: This course focuses upon the use of modeling to represent mathematical and real world contexts. The application and creating of mathematical models engages students in leaning experiences that relates classroom mathematics to everyday life and decision making. The course focuses upon specific learning expectations as defined in the Common Core State Standards with emphasis on the use of mathematical modeling with functions. This course should be taken prior to Algebra 2 to provide supplemental learning opportunities for students needing additional support to be successful in Algebra 2.

Prerequisite: Credit in Algebra 1, Geometry, & Algebra 2.

Description: Grades 11-12. This fast and rigorous course is the prerequisite to AP Calculus. This course is offered to students who desire to continue their study of mathematics and who wish to continue their education beyond high school in those fields that require a solid background in mathematics. Topics covered include fundamental

trigonometric identities and equations, graphs and properties of algebraic functions, triangle trigonometry for surveying and navigation, polar coordinates, complex numbers and vectors. Graphing calculators are highly recommended and will be used on a daily basis.

Prerequisite: Students must be enrolled concurrently in Advanced Placement Calculus.

Description: This course is designed for students who have demonstrated the skills needed for independent learning. It will provide the opportunity for independent investigation in topics of deficiency or interest, development of research techniques, and the practice of higher level thinking skills. It is comprised of skills that enable the learners to acquire, manipulate, and/or generate information and communicate the results to others. Students engage in large group, small group and individual student activities. Students are given opportunities to: strengthen and extend skills from previous math courses; explore relationships between current course and other branches of mathematics; discuss and engage in problem solving activities that allow students to deepen their understanding of math.

All students are encouraged to take as much math as possible in high school. The cost for community college courses is approximately $44.00 per credit. Students who can complete math courses for free in high school should realize significant savings. Students who cannot pass community college Algebra I (Math 24) must enroll in Math 21A & 21B. This is a modules based course involving hands-on learning. The work is self-paced in preparation for Math 24 placement.

The University of Hawai’i Community College System has standardized its math course offerings and placement. Scores on the COMPASS Placement Test will determine placement in community college math courses. Students whovhave successfully completed Algebra 1 at Kailua High School should place in Math 103 in the community college. The

community college math sequence of courses is taught in traditional lecture and discussion based methods. Other equivalent courses are as follows:

HIGH SCHOOL          

COMMUNITY COLLEGE

Math 24 and 25 2 semester courses, 3 credits each

Math 103 1 semester course, double pace

Math 135 and 140 semester courses, 1 year sequence

Calculus I