District
Curriculum Overview
Subject: Mathematics Course: 316 Geometry CP Grade Level: 9 – 12
Concepts
|
Topics/Units |
Content/Skills |
Essential
Activities/Agreements |
|
Introduction |
Basic terminology &
notation |
·
Points, lines,
rays, segments, planes, congruence, angles |
Room design project Scale model project |
|
Using congruence as a tool
for discovery and proof |
Congruent triangle proofs Transformations of figures |
·
Theorems,
postulates, def. ·
Two-column
proof |
Review equation of a line |
|
Using Perpendicularity 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 Other polygons: regular and
irregular |
·
Types of
quadrilaterals and their properties ·
Angles
relationships, sides, diagonals of polygons |
Quadrilateral
Family Tree 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 Ever-expanding cube
2-D and 3-D room
construction |
|
Using right triangles as a
problem solving tool |
Right triangles |
·
Pythagorean
Theorem ·
Special right
triangles ·
Right triangle
trigonometry |
Height
of light pole activity Special
Rt Triangle activity Trig
discovery Activity |
|
Developing area formulas |
Perimeter Area Volume |
·
Derive &
applying area surface area, & volume formulas ·
Area and volume
w/ similar figures |
Common
Assessment: Deck Pr Design
Project Common
Final Exam |