Geometry Curriculum Pacing Guide 2011-2012
Oklahoma City Public Schools
Week
PASS
ACT
Obj
August
1-5
2.3a
Vocab.
only
2.3d
PASS Standards
Academic
Vocabulary
Common
Core
Formative
Assessment
Data
Unit
(Available
units in
bold)
D.2.a
D.2.g
D.2.h
Unit 8
F.1.a
F.1.b
F.1.d
F.1.e
Unit 5
Unit 3
Review solving equations with basic
perimeter, area and circumference formulas
of circles, fundamental definitions, naming
conventions for geometric figures
2.3a. Identify, describe, and analyze
polygons (for example, convex, concave,
regular, pentagonal, hexagonal, n-gonal).
2.3d. Use properties of 2-dimensional
figures and side length, perimeter or
circumference, and area to determine
unknown values and correctly identify the
appropriate unit of measure of each.
Quadrilaterals
, area,
perimeter,
circumference,
point, line,
line segment,
ray collinear,
coplanar,
polygon, ngon
G.CO.1
G.MG.2
G.MG.3
Comprehensive Benchmark 1 (Aug 30- Sept. 10)
Coordinate Geometry: Midpoint of segments
measure of line segments, Pythagorean theorem
Aug. 8-12
3.1
D.2.c
D.2.f
Unit 11
5.1
Split
G.1.b
G.1.c
Unit 2
Unit 15
3.1. Use the Pythagorean Theorem and its
converse to find missing side lengths and to
determine acute, right, and obtuse triangles,
and verify using algebraic and deductive
proofs.
5.1. Find the distance between two points; the
1
Parallel
perpendicular
horizontal
vertical
midpoint
G.6
G.SRT.8
F.IF.6
G.GPE.5
revised 5-11-11 (ndo,bd)
G.GPE.6
G.GPE.7
midpoint of a segment;
Professional Development (Aug. 17)
Construction: Segment & angle bisectors
Aug. 16Aug. 19
2.1
D.1.d
Unit 14
2.2c
D.1.b
Unit 1
2.1. Use geometric tools (for example,
protractor, compass, straight edge) to
construct a variety of figures.
2.2c. Use relationships between pairs of angles
(for example, adjacent, complementary,
vertical) to solve problems.
Logical Reasoning: Inductive & deductive
Vocabulary: Algebraic & deductive proofs
1.1
C.1.a
C.1.b
Unit 1
1.1 Identify and use logical reasoning skills
(inductive and deductive) to make and test
conjectures, formulate counter examples, and
follow logical arguments.
1.2
C.1.c
Unit 3
1.2. State, use, and examine the validity of the
converse, inverse, and contra positive of “ifthen” statements.
Aug.22Aug. 26
Construct,
bisect,
compass,
straight edge,
protractor,
adjacent
angles,
complementar
y angles,
vertical angles
Converse,
inverse,
contra
positive,
logical
reasoning,
Inductive,
deductive,
if-then, proof,
counter
examples
G.2
G.CO.12 & 13
G.C.3 & 4
G.5
G.CO.9
Progress Report Week (Aug. 29-Sept. 1)
Segment, angle congruence properties
Aug. 29Sept. 1
2.5a
C.1.f
Unit 6
2.5a. Determine and verify the relationships
of congruency of triangles, using algebraic
and deductive proofs.
Congruent,
measure of
angle,
segments,
algebraic
proof
Parent Conference (Sept. 2) Labor Day (Sept. 5)
Sept. 6Sept. 9
Angles formed by transversals; construct parallel
& perpendicular lines
2.2a
D.1.c
Unit 4
2.2a. Use the angle relationships formed by
parallel lines cut by a transversal to solve
1
Transversal
angle
relationships
G.5
G.CO.9
revised 5-11-11 (ndo,bd)
problems.
Parallel lines determined using algebraic &
deductive proofs
Sept. 12Sept. 18
2.2b
D.1.c
Unit 4
Ends Q1
2.2b. Use the angle relationships formed by
two lines cut by a transversal to determine if
the two lines are parallel and verify, using
algebraic and deductive proofs.
Alternate
interior
Alternate
exterior
Vertical angles
Correspondin
g
G.5
G.CO.9
Quarterly Benchmark 1 (Sept.19-23)
Sept. 19Sept. 23
Coordinate Geometry: Slopes of parallel &
perpendicular lines
5.1
Split
Tested
Q2
G.1.b
G.1.c
Unit 2
5.1. Calculate the slopes of parallel,
perpendicular, horizontal, and vertical lines.
Slopes of
parallel,
perpendicular,
horizontal,
and vertical
lines
F.IF.6
G.GPE.5
G.GPE.6
G.GPE.7
End of 1st Quarter (Sept. 26)
Fall Break (Oct. 17-28)
Congruency of triangles using algebraic and
deductive proofs
Sept. 26Sept. 30
2.5a
C.1.f
Unit 6
2.5a. Determine and verify the relationships
of congruency of triangles, using algebraic
and deductive proofs.
Congruency of 2-dimensional figures: Determine
angles, side lengths, perimeter, circumference,
area
Oct. 3-7
Oct. 10Oct. 14
2.5b
C.1.g
Unit 6
2.5b. Use the relationships of congruency of
2-dimensional figures to determine unknown
values, such as angles, side lengths, perimeter
or circumference, and area.
Identify, describe & analyze polygons
2.3a
D.2.a
Unit 3
SSS, SAS, AAS.
ASA
2.3a. Identify, describe, and analyze polygons
1
Angles, side
lengths,
perimeter,
circumference,
and area
Polygons
G.5
revised 5-11-11 (ndo,bd)
D.2.g
D.2.h
Oct.31Nov. 9
2.3c
D.2.g
Unit 7
5.2a
G.1.a
G.1.c
Unit 2
Nov. 10Nov. 22
Nov. 28Dec. 9
Jan. 4 –
Jan. 6
Unit 5
5.2b
G.1.e
(for example, convex, concave, regular,
pentagonal, hexagonal, n-gonal).
Quadrilaterals & their properties to solve
problems
2.3c. Develop and apply the properties of
quadrilaterals to solve problems (for example,
rectangles, parallelograms, rhombi, trapezoids,
kites).
Progress Report Week (Nov. 7-11)
Thanksgiving Break (Nov. 23-25)
Coordinate Geometry: Use a set of points to
determine the type of figure
5.2a. Given a set of points determine the type
of figure formed based on its properties.
Reflection, rotation & translation
Unit 15
5.2b. Use transformations (reflection, rotation,
translation) on geometric figures to solve
problems within coordinate geometry.
Quarterly Benchmark 2 (Dec. 1-9)
End of 2nd Quarter (Dec. 9)
Winter Break (Dec 12-Jan. 2)
Records Day (Jan. 3)
Similarity of triangles: Determine & verify using
algebraic & deductive proofs
C.1.f
Unit 6
C.1.g
Unit 10
2.4a
C.1.h
2.4a. Determine and verify the relationships of
E.1.h
similarity of triangles, using algebraic and
E.1.d
deductive proofs.
Similarity of triangles: Use ratios to determine
unknown values such as angles, side lengths,
perimeter or circumference
Jan. 9Jan. 13
2.4b
E.1.c
E.1.d
Unit 8
Unit 10
2.4b. Use ratios of similar 2-dimensional
figures to determine unknown values, such
1
Quadrilaterals
Side length
2-dimensional
Trapezoid,
rhombi, kites
G.CO.11
G.GPE.4
Reflection/rot
ation
translation
Similar,
algebraic
proofs,
deductive
proofs
G.1
G.3
G.SRT.2
G.SRT.3
Similarity,
ratios
N.Q.1
G.SRT.2
revised 5-11-11 (ndo,bd)
E.1.f
G.SRT.4
as angles, side lengths, perimeter or
circumference, and area.
Martin Luther King Day (Jan 16)
Pythagorean Theorem & its converse
Jan. 17 –
Jan. 27
Jan 31 –
Feb 3
Feb. 6Feb. 10
Feb. 13Feb. 17
3.1
3.2
3.3
2.6a
D.2.e
D.2.f
H.1.a
Unit 11
3.1. Use the Pythagorean Theorem and its
converse to find missing side lengths and to
determine acute, right, and obtuse triangles,
and verify using algebraic and deductive
proofs.
Apply 45-45-90 and 30-60-90 right triangle
relationship
3.2. Apply the 45-45-90 and 30-60-90 right
triangle relationships to solve problems, and
verify using algebraic and deductive proofs.
Progress Report Week (Jan 30 – Feb 2)
Parent Conference (Feb 3)
Trigonometric Ratios: Sine, Cosine, Tangent, etc
H.1.b
H.1.c
Unit 12
D.3.b
D.3.c
F.1.d
Unit 8
Unit 13
3.3. Express the trigonometric functions as
ratios and use sine, cosine, and tangent ratios
to solve real-world problems.
Angle measures and arc measures of circles
2.6a. Find angle measures and arc measures
related to circles.
Mar. 5Mar. 9
2.6b
D.3.c
F.1.d
Unit 13
2.6b. Find angle measures and segment lengths
using the relationships among radii, chords,
secants, and tangents of a circle.
Interior & exterior angle sum of convex
polygons
1
G.6
G.SRT.8
Acute, right,
obtuse
Unit 11
Professional Development (Feb 20)
Comprehensive Benchmark 2 (Feb. 15-24)
Angle measures & segment lengths using radii,
chord, secant & tangent relationships
Feb 27 –
Mar. 2
Pythagorean
Theorem and
its converse,
trig ratios
G.SRT.6
Sine, cosine,
tangent,
cotangent
G.SRT.6
secant,
cosecant
Radii, segment
Chord, secant,
arc, arc
G.C.1
lengths, radian
measure
Inscribed
angles and
quadrilaterals
G.C.2
G.C.3
convex
revised 5-11-11 (ndo,bd)
2.3b
Mar. 26Mar. 30
Apr. 2Apr. 6
Apr. 9 –
Apr. 13
D.2.i
Unit 5
2.3b. Apply the interior and exterior angle
sum of convex polygons to solve problems,
and verify using algebraic and deductive
proofs.
End of 3rd Quarter (Mar. 9)
Spring Break (Mar 12-23)
Identify, describe & analyze polyhedral
Create a 3-dimensional model from 2dimensional drawing & vice versa
4.1a
D.4.a
E.1.h
Unit 9
Unit 10
4.1a. Identify, describe, and analyze polyhedra
(for example, regular, decahedral).
4.3
D.1.c
D.4.b
Unit 9
Unit 14
4.3. Create a model of a 3-dimensional figure
from a 2-dimensional drawing and make a 2dimensional representation of a 3-dimensional
object (for example, nets, blueprints,
perspective drawings).
Use properties of 3-dimensional figures to
determine unknown values with appropriate
units of measures
4.1b
F.2.a
F.2.b
F.2.c
Unit 9
4.1b. Use properties of 3-dimensional figures;
side lengths, perimeter or circumference, and
area of a face; and volume, lateral area, and
surface area to determine unknown values and
correctly identify the appropriate unit of
measure of each.
Similarity & ratios: 3-dimensional figures
Congruency: 3-dimensional figures
4.2
E.1.h
Unit 10
4.3
D.1.c
Unit 9
4.2. Similarity: Use ratios of similar 3dimensional figures to determine unknown
values, such as angles, side lengths, perimeter
or circumference of a face, area of a face, and
volume.
1
G.5
Face, edge,
net,
3dimensional,
cross-sections
N.Q.1
N.Q.2
G.GMG.1
Lateral area
surface area
volume
G.7
G.9
G.GMD.1
G.GMD.2
G.GMD.3
N.Q.1
N.Q.1.
revised 5-11-11 (ndo,bd)
D.4.b
Unit 14
State EOI (Apr 16-May 11)
Writing Test (Apr 24, 25)
Compare Euclidean Geometry & Non-Euclidean
Use Trig ratios to find area of a triangle
1.3
No
Alignme
nt
3.4
H.1.c
April 16April 27
Unit 12
N.Q.2
GMD.4
G.GMG.1
3. Create a model of a 3-dimensional figure
from a 2-dimensional drawing and make a 2dimensional representation of a 3-dimensional
object (for example, nets, blueprints,
perspective drawings).
1.3. Compare the properties of Euclidean
geometry to non-Euclidean geometries (for
example, elliptical geometry, as shown on the
surface of a globe, does not uphold the
parallel postulate).
Euclidean
elliptical
G.SRT.9
3.4. Use the trigonometric ratios to find the
area of a triangle.
April 30May 11
May 14 –
May 25
End of 4th Quarter (June 1)
Record Day (June 4)
Review factoring polynomials
Review quadratics
1
revised 5-11-11 (ndo,bd)