Foundations in Algebra (Yearlong)

319917CW-1st semester

411602CW-2nd semester

Prerequisite: HCS placement rubric

The Foundations in Algebra course is the first in a two-course progression designed to prepare students for success in advanced mathematics courses by providing a foundation in algebra and probability. This course will build on the conceptual knowledge and skills students mastered in their middle level mathematics courses in the areas of algebraic thinking, geometry, measurement, probability, data analysis, and proportional reasoning.

Geometry

412201CW

Prerequisite: Algebra 1

Geometry is the mathematical study of shapes, their properties, and their relationships. The course competencies meet the state geometry standards. Emphasis is placed on student exploration and on formulating and defending conjectures. This course is designed to prepare students for further mathematical study in upper-level courses.

Geometry - CC

4122CCCW

Prerequisite: Algebra 1

This course covers the same mathematical content and standards that is addressed in college-prep Geometry, but greater emphasis is placed on providing students with learning experiences and assessments that mirror workplace skills students will be required to demonstrate following high school.

Geometry Honors

412203HW

Prerequisite: Algebra 1

Geometry is the mathematical study of shapes, their properties, and their relationships. The course competencies meet the state geometry standards. Emphasis is placed on student exploration and on formulating and defending conjectures.  At the honors level, students are also expected to construct formal proofs of geometric principles. This course is designed to prepare students for further mathematical study in Algebra 2 Honors.

Algebra 2

411501CW

Prerequisites: Algebra 1, Geometry

Algebra 2 contains in in-depth study of functions, patterns, relations, and concepts of number systems. This includes linear, quadratic, exponential, absolute value, and radical functions.  A graphing calculator is strongly encouraged for instruction and assessment.

Algebra 2 Honors

411503HW

Prerequisites: Algebra 1, Geometry

Algebra 2 contains in in-depth study of functions, patterns, relations, and concepts of number systems. This includes linear, quadratic, exponential, absolute value, and radical functions. This honors-level course also includes a study of logarithmic and polynomial functions. A graphing calculator is strongly encouraged for instruction and assessment. This course prepares students for further mathematical study in Pre-Calculus Honors.

Algebra 3

411302CW

Prerequisite: Algebra 2

This course is designed as a bridge between Algebra 2 and Pre-Calculus Honors.  It focuses on developing the student’s ability to understand and apply the study of functions and advanced mathematics concepts to solve problems. The course includes a study of polynomial, rational, exponential, logarithmic, and trigonometric functions. Emphasis is on active participation through modeling, technology lab activities, group activities, and communication in mathematics. Students are expected to use technology, including calculators and data-gathering equipment.

Pre-Calculus Honors

413102HW

Prerequisite: Algebra 2

This course focuses on the development of students’ abilities to understand and apply the study of functions and advanced mathematical concepts to solve problems. Topics include polynomial, rational, exponential, logarithmic, and trigonometric functions. Other topics are sequences, series, vectors, conic sections, parametric equations, and polar course. Emphasis is on activities, participation through modeling, technology lab activities, group activities, and communication in mathematics. This course is designed to prepare students for further mathematical study in either Calculus Honors or AP Calculus.

Probability and Statistics

414102CW

Prerequisite: Geometry CP or CC

Students will learn how to gather, organize, and analyze data. Topics include the foundations of data analysis, univariate data displays, applications of measures of central tendency and variation, basic probability concepts and applications, probability distributions, bivariate data and scatter plots, and project design. Statistical applications are studied using graphing calculators and computer programs.

Probability and Statistics - CC

4141CCCW

Prerequisite: Geometry CP or CC

This course covers the same mathematical content and standards that is addressed in college-prep Probability and Statistics, but greater emphasis is placed on providing students with learning experiences and assessments that mirror workplace skills students will be required to demonstrate following high school

Probability and Statistics Honors

414102HW

Prerequisite: Geometry

Students will learn how to gather, organize, and analyze data. Topics include the foundations of data analysis, univariate data displays, applications of measures of central tendency and variation, basic probability concepts and applications, probability distributions, bivariate data and scatter plots, and project design. Statistical applications are studied using graphing calculators and computer programs.  At the honors-level, students will be expected to complete more rigorous coursework.

Calculus Honors

413502HW

Prerequisite: Pre-Calculus Honors

In this semester-long course, students will be introduced to the fundamental concepts of Calculus, including limits, derivatives, rate of change, applications of basic differentiation, and basic integration. This course is intended to prepare students who plan to pursue a college major in a field other than mathematics for introductory mathematical study at the college level.