GEHRHSD Curriculum Guide 2026-27

HONORS LINEAR ALGEBRA

Grades 11-12, 5 Credits

AHS CCHS

Honors Pre-Calculus is a rigorous course providing an intensive study of trigonometry and a review and extension of functions introduced in Honors Algebra II/Trigonometry, including polynomial, rational, logarithmic, and exponential functions. A transformational approach to graphing is used with families of related graphs. Numerical, graphical, and algebraic solutions will be considered for all problems where appropriate. The faster pace and deeper investigations prepare students to enter AP Calculus BC the following year. Prerequisite: Honors Algebra II/Trigonometry or Algebra II/Trigonometry. Entrance into this course Requires teacher recommendation and/or a 90 in Algebra II/Trigonometry. Pre-Calculus is a rigorous course focusing on the study of trigonometry and a review and extension of functions introduced in Algebra II, including polynomial, rational, logarithmic, and exponential functions. A transformational approach to graphing is used with families of related graphs. Numerical, graphical, and algebraic solutions will be considered for all problems where appropriate. The study of limits is emphasized to prepare students for AP Calculus AB or Calculus the following year. Prerequisite: Teacher recommendations and 90 in Algebra II, or successful completion of Algebra II/ Trigonometry or Honors Algebra II/Trigonometry. HONORS PRE-CALCULUS Grades 10-12, 5 Credits Honors Linear Algebra is the study of linear equations. To solve linear equations we will utilize matrices to make the process easier. We will also learn about the connections between algebra and vectors. We will apply Linear Algebra to different areas of mathematics including Trigonometry, Geometry, Calculus, and Statistics. We will also see how concepts of Linear Algebra can be applied to areas outside mathematics including Engineering, Cryptography, and Finance. The Honors Linear Algebra student is provided with a careful balance of theory, explanations, examples, applications, and geometric intuition. Exercises contain both computational problems and proofs. This course will require the student to rely on rigor and derivation of facts from axioms rather than informational content. Prerequisite: Advanced Placement Calculus AB PRE-CALCULUS Grades 11-12, 5 Credits