MCPS Geometry (Middle School) Pacing Guide: 2016-2017

First Nine Weeks
PHChapter/Sections/Topic / SOL / Time Frame
PH Chapter 1
Add: VDOE ESS Constructions (SOL G.4)
and Distance and Midpoint Formulas
(SOL G.3) / 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. / 12 days
Pythagorean Theorem
PH Chapter 8-1
Add: VDOE ESS The Pythagorean
Relationship (SOL G.8) / SOL G.8 Solve real-world problems involving right triangles by using the Pythagorean Theorem and its converse. / 3 days
Review and Common Assessment #1 / 2 days
PH Chapter 2
Add: PH Lesson VA-1; VDOE ESS
Inductive and Deductive Reasoning
(SOL G.1) and Logic and Conditional
Statements (SOL G.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. / 21 days
Review and Common Assessment #2 / 2 days
Begin:
PH Chapter 3 / 5 days
First Nine Weeks Total / 45 days
Second Nine Weeks
Chapter/Sections/Topic / SOL / Time Frame
PH Chapter 3
Add: PH Lesson VA-3; VDOE ESS Lines
and Angles (SOL G.2) and Slope (SOL
G.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. / (Continued from previous 9 weeks)
9 days
Review and Common Assessment #3 (including angle types from Ch 1) / 2 days
PH Chapter 4
PH Chapter 5
PH Chapter 7
Add: PH Lesson VA-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.
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.
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. / 24 days
Review and Common Assessment #4 / 2 days
Review / Midterm Exam / 6 days
Second Nine Weeks Total / 43 days
Third Nine Weeks
Chapter/Sections/Topic / SOL / Time Frame
PH Chapter 8
Add: VDOE ESS Special Right Triangles and Right Triangle Trigonometry (SOL G.8) / SOL G.8 Solve real-world problems involving right triangles by usingproperties of special right triangles, and right triangle trigonometry. / 13 days
Review and Common Assessment #5 / 2 days
PH Chapter 6
PH Chapter 9
Add: VDOE ESS Symmetry (SOL G.3)
and Angles in Polygons (SOL G.10) / 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
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.
From the VDOE Curriculum Framework: Identify tessellations in art, construction, and nature. / 19 days
Review and Common Assessment #6 / 2 days
Begin PH Chapter 10 & 12
Add: VDOE ESS Arc Length and Area of
a Sector (SOL G.11) / 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. / 9 days
Third Nine Weeks Total / 45 days
Fourth NineWeeks
Chapter/Sections/Topic / SOL / Time Frame
Continue PH Chapter 10 & 12
PH Chapter 10
PH Chapter 12
Add: VDOE ESS Angles, Arcs, and
Segments in Circles (SOL G.11) and
Circles in the Coordinate Plane (SOL
G.12) / SOL G.9 Verify characteristics of quadrilaterals and use properties of quadrilaterals to solve real-world problems.
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 coordinates of the center of a circle and a point on the circle, write the equation of a circle. Please refer to the VDOE Curriculum Framework for details related to SOL G.12. / (Continued from previous 9 weeks)
9 days
Review and Common Assessment # 7 / 2 days
PH Chapter 11
Add: VDOE ESS Surface Area and
Volume (SOL G. 13) and Similar Solids
and Proportional Reasoning (SOL G.14) / 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 or three 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. / 14 days
Review and Common Assessment #8 / 2 days
DivisionCommon Simulation/ Review/SOL Testing/Enrichment/End of Year Activities / *Simulation should be administered at least 3 weeks prior to SOL testing / 25days
Fourth Nine Weeks Total / 52 days