Download Geometry and Trigonometry Syllabus

Boyertown Area School District
Non-Academic Geometry Course Pacing Guide
Textbooks: CPM, McDougal Littell Geometry, Pearson Geometry
Course Description: This is an investigative, problem solving approach to understanding and applying geometric concepts including polygons, circles, angles, lines, area,
perimeter and logic skills
Quarter 1
Unit 1: Basics of Geometry
-Basic terms
-Segment postulates
-Distance formula & simplifying
radicals
-angle postulates
-types of angles
-Angle and segment bisectors
-Vertical angles, linear pairs
-Complementary, supplementary
angles
-Introduce perimeter and area
(optional)
Unit 2: Parallel and
Perpendicular & Algebra review
-Relationship between lines
-Angles formed by traversals
-Identifying parallel and
perpendicular lines including
those in a coordinate plane using
slope
-Equations of parallel and
perpendicular lines
-Algebra: equations of lines,
graphing, solving linear
Quarter 2
Unit 3: Similarity
-Ratios and proportions
-identifying similar polygons,
including triangles
Unit 4: Congruency
-Congruent triangles and angles
-Applying congruent triangles
-Isosceles, right and equilateral
triangles
-triangles in the coordinate plane
Unit 5: Properties of triangles
-mid-segment
-midpoint
-altitudes
-angle bisectors and
perpendicular bisectors (if time)
-tringle inequality (if time)
Quarter 3
Unit 6: Quadrilaterals
-Identifying and describing
polygons
-Properties of parallelograms
-Interior angles of quadrilaterals
-Properties of rhombi, kites,
rectangles, squares, trapezoids
-Coordinate geometry with
quadrilaterals
-Area of quadrilaterals
Unit 7:Trigonometry to solve
triangles
-Right triangle trig (sine, cosine,
tangent)
-Law of sines
-Law of cosines
Unit 8:Circles
-Segments and lines
-Properties of tangents
-Arcs and chords of a circle
-Inscribed angles
-Central angles
Quarter 4
Unit 9:Area of Polygons and
circles
-apothems
-interior and exterior angles of
polygons
-circumference and area of circle
-area of polygons
-perimeter of polygons
-area of sector
-arc length
Unit 10:Surface Area & Volume
-prism
-cylinder
-pyramid
-cone
-sphere
Unit 11: Transformations if time
-reflections
-translations
-rotations
Unit 12: Extra algebra and trig
topics if time