2022-2023 Upper School Curriculum Guide

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Honors Geometry

Honors Algebra II

Geometry

Algebra II

PreCalc/ Calculus A

AP Calc BC

Differential Equations

PreCalculus

AP Calc AB

Abstract Algebra

Algebra I Intro to PreCalculus

Mathematical Modeling

Advanced Statistics

ALGEBRA I Full-credit, graded course • Required of all students in Form IX who did not study Algebra I in Middle School. • Prerequisites: successful completion of Foundations in Algebra IA or equivalent course at another school • Full year, 1 credit • Technology required: TI-84+ Algebra 1 is the critical element in secondary mathematics education. Topics introduced in Algebra 1 provide the foundation students require for future success in high school mathematics, critical thinking, and problem solving. The primary goal in Algebra 1 is to help students transfer their concrete mathematical knowledge to more abstract algebraic generalizations. Topics include: functions, linear equations and inequalities, systems of equations and inequalities, exponents and radicals, polynomials, and quadratic functions and equations. GEOMETRY Full-credit, graded course • Open to Forms IX and X • Prerequisites: Successful completion of or concurrent enrollment in Algebra I • Full year, 1 credit • Technology required: TI-84+

Linear Algebra

Multi-Variable Calc

Great Theorems in Mathematics

The content of Geometry includes a strong emphasis on the basic concepts of Euclidean Geometry and the development of logical reasoning, including the formal method of proof. Students study triangles and triangle relationships, quadrilaterals, similarity, right triangle trigonometry, circles, area and volume. Concepts of coordinate geometry and three-dimensional geometry are integrated with plane geometry throughout the course.

Geometry and Algebra I • Full year, 1 credit • Technology required: TI-84+

HONORS GEOMETRY Full-credit, graded course • Open to Forms IX and X • Prerequisites: Form IX: Recommendation of the Middle School faculty; Form X: Successful completion of Algebra I with a minimum average of 90% and a minimum of 90% on the S1 exam. • Departmental signature required. • Full year, 1 credit • Technology required: TI-84+

HONORS ALGEBRA II Full-credit, graded course • Open to Forms IX, X, and XI • Prerequisites: Successful completion of Geometry with an average of 90% and a minimum score of 90% on the S1 exam or successful completion of Honors Geometry with an average of 80% and a minimum score of 80% on the S1 exam, and the recommendation of the Upper School faculty. • Departmental signature required. • Full year, 1 credit • Technology required: TI-84+

The content of Honors Geometry is similar to Geometry but emphasizes formal proofs and constructions. ALGEBRA II Full-credit, graded course • Open to Forms X and XI • Prerequisites: Completion of

Page 28 - Columbus School for Girls

Algebra II is a continuation of the study of algebra. Topics covered are a review of Algebra I, linear equations, quadratic equations, factoring, polynomial functions, graphing using transformations, irrational and complex numbers, and rational expressions and equations. Students enrolled in Algebra II will take Introduction to Precalculus the following year.

Honors Algebra II is an in-depth course in which the student continues the study of algebra. The course content commences with a review of Algebra I topics


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