Fairview High School
Curricular Map
Geometry
(Letters and numbers in bold print refer to the Essential Learnings from the
Geometry
Curriculum Essentials Document,
Boulder Valley School District, May 2009)
Unit 1 (3 weeks): Tools of Geometry
•
Patterns and Inductive Reasoning
o
GM6d
Uses inductive reasoning
•
Points, Lines and Planes
o
GM3a
Draws and labels sets of points
o
GM6f
Describes undefined terms (point, line, plane) and defines key
geometric terms
•
Segments, Rays, Parallel Lines and Planes
o
GM3a
Draws and labels sets of points such as line segments, rays, and
circles
•
Measuring Segments and Angles
o
Mathematics Standard 5
•
Basic Constructions
o
GM3c
Constructions
•
The Coordinate Plane
o
GM2c
Applies the distance formula to find the length of a line segment
when given the coordinates of the endpoints
o
GM2d
Finds the coordinates of the midpoint of a segment
•
Perimeter, Circumference, and Area
o
GM5a
Calculates perimeter, circumference and area of common
geometric figures
Unit 2 (3 weeks) Reasoning and Proof
•
Conditional Statements
o
GM6e
Given a conditional statement write its converse
•
Biconditionals and Definitions
o
GM6e
Given a conditional statement write its converse
•
Deductive Reasoning
o
GM6d
Uses deductive reasoning
o
GM6b
Determines the validity of a logical argument
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Reasoning in Algebra
o
GM7a
Selects, applies, and translates among mathematical
representations to solve problems and
justifies the reasonableness of
solutions
•
Proving Angles Congruent
o
GM6c
Distinguishes between postulates and theorems
o
GM2a
Solves practical problems using the relationships between pairs of
angles (e.g., vertical angles, complementary angles and supplementary
angles)
Unit 3 (3 weeks): Parallel and Perpendicular Lines
•
Properties of Parallel Lines
o
GM2a
Solves practical problems using the relationships between pairs of
angles (e.g. corresponding angles, same side interior angles and alternate
interior angles)
•
Proving Lines are Parallel
o
GM2b
Uses deductive methods to determine whether two lines are
parallel
o
GM6a
Writes simple deductive proofs for parallel and perpendicular lines
•
Parallel Lines and the Triangle AngleSum Theorem
o
GM3d
Calculates the interior and exterior angles of triangles using
properties of parallel lines and the triangle angle sum theorem
•
The Polygon AngleSum Theorems
o
GM3b
Identifies and classifies special types of polygons (e.g.,
parallelograms) using measurements of angles, sides and geometric
properties
•
Lines in the Coordinate Plane
o
Mathematic Standard 2 Algebra
•
Slopes of Parallel and Perpendicular Lines
o
GM2b
Uses algebraic, coordinate and deductive methods to determine
whether two lines are parallel or perpendicular
•
Constructing Parallel and Perpendicular Lines
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 Spring '09
 Johnson
 Algebra, Geometry, Unit Conversions, triangle, common geometric figures, GM3f Defines terms, simple deductive proofs

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