Geometry is essential as a means to giving students the quantitative skills to describe and measure the 2D and 3D world. It is a fundamental part of understanding such diverse applications as visual arts, navigation, construction, design and architecture, etc. It is also the classic manner of fostering the mathematical skill of logical reasoning and proof. And it provides a visual means of reinforcing and enhancing the algebraic skills that were stressed in Algebra I and will be expanded upon in Algebra II. Thus, at Darrow, Geometry is the second in the series of three required year-long courses. The primary topics in this course include: a review of the properties of points, lines, angles & polygons, an introduction to logical statements and proof, parallel and perpendicular lines, triangle congruence, ratios and proportions, right triangle trigonometry, properties of quadrilaterals, properties of circles, arcs and chords, two dimensional measurement involving perimeter, circumference and area, properties of three dimensional solids, as well as measurement of these solids involving surface area and volume. In addition to lectures, nightly homework assignments, quizzes and tests, students are assessed through lab exercises involving Geometer’s Sketchpad, a computer drawing program that can be used both analytically and creatively.
For students who have completed Algebra I of old Math sequence