District Curriculum Overview

Subject: Mathematics Course: 318 Geometry Honors Grade Level: 9 – 12

Concepts	Topics/Units	Content/Skills	Essential Activities/Agreements
Introduction	Basic terminology & notation	· Points, lines, rays, segments, planes, congruence, angles	Clock Problem
Understanding the elements of proof	Proof	· Theorems, postulates, def. · Two-column and indirect	Review equation of a line
Using congruent triangles as an investigative tool	Congruent Triangles	· Proving triangles congruent · Types of triangles/properties · Medians and altitudes	Centroid Problem Review equation of a line
Using Perpendiculatiry and parallelism as a problem solving and investigative tool	Perpendicular & Parallel lines	· Establishing perpendicularity · Angle pairs w/ parallel lines · Slopes	Fred, Red and Ted Problem Central Fire Station Problem Common assessment
Exploring/proving properties of quadrilaterals including use of symmetry	Quadrilaterals	· Types of quadrilaterals and their properties	Quadrilateral Family Tree
Exploring regular and irregular polygons	Other Polygons	· Classification of polygons · Angles relationships, sides, diagonals	Brick Problem Handshake problem Common Mid-Term Exam
Applying concepts of similarity to solve problems	Similarity	· Proving similarity · Indirect measurement · Similar areas & volumes	Building height activity Triangular Cookie problem
Using right triangles as a problem solving tool	Right triangles	· Pythagorean Theorem · Special right triangles · Right triangle trigonometry	Height of light pole activity
Understanding circle relationships and their application to problem solving	Circles	· Applying knowledge of circles and angle-arc formulas to problems	Bike chain problem Arch radius problem Satellite problem
Developing area formulas	Area	· Developing & applying area formulas	Common Assessment Deck Problem
Developing volume formulas	Volume	· Developing & applying volume formulas	Design Project Common Final Exam