Geometry: Outline and Pacing Guide 2013/14 JRT
Pacing is approximate and may be adjusted during the year. Please refer to the calendar for up-to-date assignments.
MP1: Fundamentals of Geometry with Contructions and Reasoning
GeometryOnline! lesson and topic
SOL
Objective: The student will….
4-1: Using Properties with equations
Radical review- basic operations
7-2: The Pythagorean Theorem with area
G.7
…review selected algebra topics
…use the Pythagorean Theorem to find the length of the third side,
given the lengths of two sides of a right triangle.
G3a
…apply the distance formula to find the length of a line segment
when given the coordinates of the endpoints.
….find the coordinates of the midpoint of a segment, using the
midpoint formula.
…find the slope of a line, given the graph or the coordinates of
two points on the line.
G.1
….identify the hypothesis and conclusion, the converse, inverse,
and contrapositive of a conditional statement.
…translate short verbal arguments into symbolic form, such
as (p  q) and (~p  ~q).
…diagram logical arguments, using Venn diagrams.
…use the laws of syllogism, detachment and contrapositives
in deductive arguments.
…state the relationships and solve practical problems using those
relationships between a linear pair and vertical angles.
…solve practical problems involving intersecting lines in a plane.
…classify the types of angles formed by two lines and a
transversal.
…determine whether two lines are parallel using:
 properties, postulates, and theorems
 algebraic, coordinate, and deductive methods.
…state the relationships and solve practical problems using those
relationships between pairs of angles such as corresponding
angles, alternate interior angles, and same-side interior angles.
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
Pacing: 2 weeks
1-1: Point, Line, Plane
2-3: Pairs of Lines
1-2: Segments and Rays
1-3: More Formulas
1-4: Angles
1-5: Pairs of Angles
Pacing: 2.5 weeks
2-1: Conditional Statements
2-2: Logic and Venn Diagrams
Pacing: 2.5 weeks
2-4: Angles and Parallel Lines
2-5: Proving Lines Parallel
G.3
G.4
Pacing: 1.5 weeks
1-6 and 10.1: Constructions
Pacing: 2.weeks
G.11
MP2: Polygons with a focus on Triangles and the concepts of congruence and similarity
GeometryOnline! lesson and topic
SOL
Objective: The student will….
3-4: Polygons
10-4: Tessellations
G.3
G.9
…find the sum of the measures of the interior and exterior angles
of a convex polygon.
…find the measure of each interior and exterior angle of a regular
polygon.
…solve problems involving the measures of interior and exterior
angles of polygons.
…identify tessellations in art, construction, and nature.
…determine whether a triangle could be formed, given the lengths
of three segments.
…determine whether a triangle formed with three given lengths is
a right triangle.
Pacing: 2.5 weeks
3-1: Triangle Fundamentals
7-2: The Pythagorean Theorem with
Classification
3-2: Isosceles Triangles
3-3: Triangle Inequalities
Special Segments
G.5
…arrange the angles of a triangle in order from smallest to largest
when given the lengths of the sides.
…arrange the sides of a triangle in order from smallest to largest
when given the measures of the angles.
…determine the range in which the length of the third side
must lie, given the lengths of two sides of a triangle.
Pacing: 3 weeks
4-2: Congruent Triangles
4-3: Proving Triangles Congruent
(SSS, SAS, ASA)
4-4: Proving Triangles Congruent (AAS,
HL)
More Constructions
G.6
…use definitions, postulates, and theorems to determine whether
triangles are congruent.
…use coordinate methods, such as the distance formula and the
slope formula, to prove two triangles are congruent.
…construct triangles from given information
Pacing: 1.5 weeks
5-1: Using Proportions
5-2: Exploring Similar Polygons
5-3: Identifying Similar Triangles
5-4: Proportional Parts
G.7
…use definitions, postulates, and theorems to determine whether triangles
are similar.
…use algebraic methods, such as properties of proportions, to prove that
triangles are similar.
Pacing: 2.5 weeks
Exam Review
All topics from 1st semester
An 18-week cumulutive test (semester exam) will be given at the end of January.
MP3 : Right Triangles, Quadrilaterals, Tansformations, and Circles
IGO lesson and topic
SOL
Objective: The student will….
10-5: Transformations
G.2
…identify the transformation that has taken place as a reflection,
rotation, or translation, given an image and preimage.
…determine whether a figure has point symmetry, line symmetry,
or neither.
…solve for missing lengths in geometric figures, using properties
of 45-45-90 and 30-60-90 triangles.
…solve problems involving right triangles, using sine, cosine, and
tangent ratios.
Pacing: 1 week
7-3: Special Right Triangles
7-4: Trigonometry
Pacing: 2.5 weeks
6-1: Parallelograms
6-3: Rectangles
6-4: Rhombi and Squares
6-5: Trapezoids and Kites
9-1: Area of 2-D Shapes
Pacing: 2 weeks
8-1: Terminology
8-2: Area abd Circumference
8-3 Tangents
8-4: Arcs and Chords
8-5: Angle Formulas
8-6: Segment Formulas
G.7
G.8
…solve practical problems, using the properties specific to
parallelograms, rectangles, rhombi, squares, and trapezoids.
…prove that quadrilaterals have specific properties, using coordinate and
algebraic methods, such as the distance formula, slope, and midpoint
formula.
…prove the properties of quadrilaterals, using deductive reasoning.
…calculate the area of special quadrilaterals
G.10
…find the related arc length and sector area, given the measure of
a central angle in degrees and the radius of the circle.
…solve practical problems associated with circles, using
properties of angles and arcs.
…find missing lengths, given two intersecting chords or two
intersecting tangents.
Pacing: 3 weeks
MP4: Three Dimensional Shapes with Surface Area and Volume
IGO lesson and topic
SOL
Objective: The student will….
9-2: Prisms and Pyramids
9-3: Cylinders and Cones
9-4: Spheres
G.13
…find the total surface area of cylinders, prisms, pyramids, cones,
and spheres, using the appropriate formulas.
…calculate the volume of cylinders, prisms, pyramids, cones, and
spheres, using the appropriate formulas.
…solve practical problems involving total surface area and
volume of cylinders, prisms, pyramids, cones, and spheres as well
as combinations of three-dimensional figures.
…compare perimeters and areas of similar two-dimensional
figures, using proportions.
…describe how a change in one measure affects other measures of
an object. Measures of an object may include perimeter, area, total
surface area, and volume.
…solve practical problems involving similar objects.
Pacing: 2.5 weeks
9-5: Similar Objects
G.14
Pacing: 2 weeks
The End of Course Test (SOL) will be given in mid-May
MP4 Continued post SOL
IGO lesson and topic
SOL
Objective: The student will….
Geometry Probability
Algebra 2 Preview
A final exam (semester2 content only) will be given in mid June—last week of school.
A student may opt out of the exam if he/she passes the SOL test.