Geometry

VDOE Resources - Geometry:
2009 SOL          Curriculum Framework          Testing Blueprint

2001-2009 Crosswalk          Vertical Articulation: Geometry

2009 Fall Mathematics Institutes: Summary of Changes to Geometry (.ppt)

EOC Mathematics Practice Tools          (Click here for a helpful screenshot from Bill Noble at BHS)

MCPS Resources:
2011-12 Pacing Guide
2011-12 Benchmark Testing Calendar
Analysis of Revised SOL Testing Reporting Categories

2011-12 Instructional Pacing At-a-Glance

First Twelve Weeks

Second Twelve Weeks

Third Twelve Weeks

PH Chapter 1
SOL G.3a - Investigate and use formulas for finding distance and midpoint.
SOL G.4 - Construct and justify the constructions of
a) a line segment congruent to a given line segment;
b) the perpendicular bisector of a line segment;
e) the bisector of a given angle; and
f) an angle congruent to a given angle.
PH Chapter 5
SOL G.5
- Given information concerning the lengths of sides and/or measures of angles in triangles, will
a) order the sides by length, given the angle measures;
b) order the angles by degree measure, given the side lengths;
c) determine whether a triangle exists; and
d) determine the range in which the length of the third side must lie.
These concepts will be considered in the context of real-world situations.
PH Chapter 9
SOL G.3 - Use pictorial representations, including computer software, constructions, and coordinate methods, to solve problems involving symmetry and transformation. This will include
c) investigating symmetry and determining whether a figure is symmetric with respect to a line or a point; and
d) determining whether a figure has been translated, reflected, rotated, or dilated, using coordinate methods.
SOL G.10 - Solve real-world problems involving angles of polygons.
From the VDOE Curriculum Framework: Identify tessellations in art, construction, and nature.
PH Chapter 2
(Add: PH Lesson VA-1)
SOL G.1 - Construct and judge the validity of a logical argument consisting of a set of premises and a conclusion. This will include
a) identifying the converse, inverse, and contrapositive of a conditional statement;
b) translating a short verbal argument into symbolic form;
c) using Venn diagrams to represent set relationships; and
d) using deductive reasoning.
PH Chapter 6
SOL G.2 - Use the relationship between angles formed by two lines cut by a transversal to
b) verify the parallelism, using coordinate methods.
SOL G.9 - Verify characteristics of quadrilaterals and use properties of quadrilaterals to solve real-world problems.
Note: The properties of angles for a quadrilateral inscribed in a circle will be addressed in Lesson 12-3.
SOL G.10 - Solve real-world problems involving angles of polygons.
PH Chapter 10
SOL G.11 - Use angles, arcs, chords, tangents, and secants to
b) solve real-world problems involving properties of circles; and
c) find arc lengths and areas of sectors in circles.
SOL G.14 - Use similar geometric objects in two dimensions to
a) compare ratios between side lengths, perimeters, and areas;
c) determine how changes in area of an object affect one or more dimensions of the object; and
d) solve real-world problems about similar geometric objects.
PH Chapter 3
(Add: PH Lesson VA-3)
SOL G.2 - Use the relationship between angles formed by two lines cut by a transversal to
a) determine whether two lines are parallel;
b) verify the parallelism, using algebraic and coordinate methods as well as deductive proofs; and
c) solve real-world problems involving angles formed when parallel lines are cut by a transversal.
SOL G.3 - Use pictorial representations, including computer software, constructions, and coordinate methods, to solve problems involving symmetry and transformation. This will include
a) investigating and using formulas for finding slope; and
b) applying slope to verify and determine whether lines are parallel or perpendicular.
SOL G.4 - Construct and justify the constructions of
c) a perpendicular to a given line from a point not on the line;
d) a perpendicular to a given line at a given point on the line; and
g) a line parallel to a given line through a point not on the given line.
PH Chapter 7
SOL G.7 - Given information in the form of a figure or statement, will prove two triangles are similar, using algebraic and coordinate methods as well as deductive proofs.
SOL G.14 - Use similar geometric objects in two dimensions to
d) solve real-world problems about similar geometric objects.
PH Chapter 11
SOL G.13 - Use formulas for surface area and volume of three-dimensional objects to solve real-world problems.
SOL G.14 - Use similar geometric objects in two dimensions to
a) compare ratios between side lengths, perimeters, areas, and volumes;
b) determine how changes in one or more dimensions of an object affect area and/or volume of the object;
c) determine how changes in area and/or volume of an object affect one or more dimensions of the object; and
d) solve real-world problems about similar geometric objects.
PH Chapter 4
SOL G.6 - Given information in the form of a figure or statement, will prove two triangles are congruent, using algebraic and coordinate methods as well as deductive proofs.
PH Chapter 8
SOL G.8 - Solve real-world problems involving right triangles by using the Pythagorean Theorem and its converse, properties of special right triangles, and right triangle trigonometry.
PH Chapter 12
SOL G.11 - Use angles, arcs, chords, tangents, and secants to
a) investigate, verify, and apply properties of circles; and
b) solve real-world problems involving properties of circles.
SOL G.12 - Given the coordinates of the center of a circle and appoint on the circle, will write the equation of a circle.
Please refer to the VDOE Curriculum Framework for details related to SOL G.12.
Benchmark Test #1:
25 Questions
Benchmark Test #2:
35 Questions

Will include 10 "most missed"
items from Benchmark #1.

Benchmark Test #3:
35 Questions

Will include 10 "most missed"
items from Benchmarks #1 & #2

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