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Geometry Pacing Guide (2008)
First Six Weeks
SOL
G.3 Lines and Angles
Second Six Weeks
Estimated Time SOL
3 days G.5 Triangles and Logic
The Student will solve practical problems
involving complementary, supplementary
and congruent angles that include vertical
angles formed when parallel lines are cut
by a transversal and angle in polygons
G.1 Triangles and Logic
1 day
The student will construct and judge the
validity of a logical argument consisting
of a set of premises and a conclusion.
This will include:
Third Six Weeks
Estimated Time SOL
G.10 Polygons and Circles
Estimated Time
5 days
G.5a
3 days
The student will investigate and identify
congruence and similarity relationships
between triangles
The student will investigate and solve
practical problems involving circles, using
properties of angles, arcs, chords,
tangents, and secants. Problems will
include finding arc length and the area of
G.5b
3 days a sector, and may be drawn from
The student will prove two triangles are applications of art, construction, and
congruent or similar, given information in nature.
the form of a figure or statement, using
algebraic and coordinate as well as
deductive proofs.
G.11 Lines and Angles
2 days
G.2c
2 days
G.1a
2 days Determining whether a figure has been
Identifying the converse, inverse, and
translated, reflected, or rotated.
contrapositive of a conditional statement;
G.1b
1 day
G.7 Triangles and Logic
8 days
Translating a short verbal argument into
symbolic form;
The student will solve practical problems
involving right triangles by using the
G.1c
1/2 day
Pythagorean Theorem, properties of
Using Venn diagrams to represent set
special right triangles, and right triangle
relationships;
trigonometry. Solutions will be expressed
in radical form or as decimal
G.1d
1/2 day
approximations.
Using deductive reasoning, including the
law of syllogism
The student will construct a line segment
congruent to a given line segment, the
bisector of a line segment, a
perpendicular to a given line from a point
not on the line, a perpendicular to a given
Line at a point on the line, the bisector of
a given angle, and an angle congruent to
a given angle.
G.2b
1 day G.6 Triangles and Logic
2 days
Investigating symmetry and determining
whether a figure is symmetric with
The student, given information
respect to a line or a point
concerning the lengths of sides and/or
measures of angles, will apply the
G.8 Polygons and Circles
triangle inequality properties to
determine whether a triangle exists and
G.8a
4 days to order sides and angles. These
The student will investigate and identify concepts will be considered in the context
properties of quadrilaterals involving
of practical situations.
opposite sides and angles, consecutive
sides and angles, and diagonals.
G. 12 Three- Dimensional Figures 2 days
G.8b
2 days
The student will prove these properties of The student will make a model of a threequadrilaterals, using algebraic and
dimensional figure from a twocoordinate methods as well as deductive dimensional drawing and make a tworeasoning.
dimensional representation of a threedimensional object. Models and
G.8c
2 days representations will include scale
The student will use properties of
drawings, perspective drawings,
quadrilaterals to solve practical problems. blueprints, or computer simulations.
G.13 Three- Dimensional Figures
G.4 Lines and Angles
5 days
4 days
The students will use the relationships
between angles formed by two lines cut
by a transversal to determine if two lines
are parallel and verify algebraic and
coordinate methods as well as deductive
proofs.
The student will use formulas for surface
area and volume of three-dimensional
objects to solve practical problems.
Calculators will be used to find decimal
approximations for results.
G.9 Polygons and Circles
4 days G.14 Three-Dimensional Figures
The student will use measures of interior
and exterior angles of polygons to solve
problems. Tessellations and tilting
problems will be used to make
connections to art, construction, and
nature.
G.2 Coordinate Relations and
Transformations
G.14a
2 days
The student will use proportional
reasoning to solve practical problems,
given similar geometric objects.
G.14b
3 days
2 days The student will determine how changes
in one dimension of an object affect area
The student will use pictorial
and/or volume of the object.
representations, including computer
software, constructions, and coordinate
methods, to solve problems involving
symmetry and transformations.
This will include:
G.2a
3 days
Investigating and using formulas for
finding distance, midpoint, and slope