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Algebra 1 / Geometry

Teachers: Eli Ess
Open to: Array
Length: 4 Semesters

This one-year double-period course will teach students the basics of the number system and the use of algebraic expressions and equations. The course will cover functions, graphs, and applications. It will also develop the skills necessary to continue college-prep study. This course will provide a foundation, upon which students will build during their time here at Loyola.

Topics covered include: properties of real numbers; representation of verbal expressions as mathematical expressions; methods for solving equations, inequalities and application problems; proportions; factoring; simplifying rational and radical expressions; forms of linear equations and graphing techniques; and methods for solving systems of equations and quadratics.

The course also covers geometric terms and processes, logic, and problem solving. Various forms of proof are studied. Emphasis is placed upon reasoning and problem solving skills gained through study of the following major topics: angle relationships, congruent and similar triangles, geometric inequalities, parallel lines and their applications to quadrilaterals, areas of a polygon and circular regions, arcs and angle measures related to circles, and surface area and volume of solids. Trigonometry will be introduced as it applies to geometry. Algebraic skills (particularly work with ratios, simplification of and operations with radicals) are applied.