Geometry
Curriculum Framework
Sugg
este
d
Paci
ng
Themes/Concepts/Big Ideas
Standards

based Essential Skills
Formative/Summative
Assessments
(Writing Assignments,
Projects, Performances)
Instructional Strategies
Resources
Beginning of Year Review
20
days
Preparing for Geometry
:
Changing Units of Measure
Within Systems
Changing Units of Measure
Between Systems
Simple Probability
Algebraic Expressions
Linear Equations
Ordered Pairs
Systems of Linear Equations
Square Roots and
Simplifying Radicals
Convert units of measure
between the customary and
metric systems
Find the probability of simple
events
Use the order of operations to
evaluate algebraic expressions
Use algebra to solve linear
equations
Use algebra to solve linear
inequalities
Name and gr
aph points in the
coordinate plane
Use graphing, substitution, and
elimination to solve systems of
linear equations
Evaluate square roots and
simplify radical expressions
Diagnostic assessment
Real world
connection
/examples
Ticket out the door
Practice/review activities
Problem solving activities
Post

test
Activate prior
knowledge
Scaffolding questions
K

W

L
Cooperative learning
Response cards
Reciprocal teaching
Writing to Learn
strategies
Vocabulary notecards
Lesson summaries
Journal prompts
E
ntrance/e
xit tickets
Graphic organizers
Visualization
Four

step problem
solving
Differentiated
activities
Glencoe McGraw

Hill Geometry
(2010) student and teacher
editions
Research

Based Strategies:
Narrowing the Achievement Gap
for Under

Resourced Studen
ts
by
Ruby Payne, Ph.D.
Online teacher resources:
http://glencoe.mcgraw

hill.com/sites/0078884845/student
_view0/
Online student edition:
http://glencoe.mcgraw

hill.com/sites/0078884845/student
_view0/
Math websites (see attachment)
Personal Tutor
Homework Help
Virtual manipulatives/calculator
Math journals
Sugg
este
d
Paci
ng
Themes/Concepts/Big Ideas
Standards

based Essential Skills
Formative/Summative
Assessments
(Writing Assignments,
Projects, Performances)
Instructional Strategies
Resources
Unit 1
39
days
Geometric Structure
Tools
of Geometry
Points, Lines, and Planes
Linear Measure
Distance and Midpoints
Angle Measure
Angle Relationships
Two

Dimensional Figures
Three

Dimensional Figures
Reasoning and Proof
Inductive Reasoning and
Conjecture
Logic
Conditional Statements
Deductive R
easoning
Postulates and Paragraph
Proofs
Algebraic Proof
Proving Segment
Relationships
Proving Angle Relationships
Parallel and Perpendicular Lines
Parallel Lines and
Transversals
Angles and Parallel Lines
Slopes of Lines
Equations and Lines
Proving Lines
Parallel
Perpendiculars and Distance
Tools of Geometry
Develop an awareness of the
structure of a mathematical
system, connecting definitions,
postulates, logical reasoning, and
theorems
Use construction to explore
attributes of geometric figures
and to m
ake conjectures about
geometric relationships
Use one

and two

dimensional
coordinate systems to represent
points, lines, rays, line segments,
and figures
Reasoning and Proof
Use inductive reasoning to
formulate a conjecture
Use logical reasoning to prove
statements are true and find
counterexamples to disprove
statements that are false
Determine the validity of a
conditional statement, its
converse, inverse, and
contrapostive
Use deductive reasoning to
prove a statement
Parallel and Perpendicular Lines
Make conjectures about lines
and determine the validity of the
conjectures
Make conjectures about angles
and determine the validity of the
conjectures
Use slopes of equations of lines
to investigate geometric
relationships, including parallel
lines and per
pendicular lines
Diagnostic assessment
Real

world
connection
/examples
Check your understanding
Practice and problem
solving
H.O.T. problems
Spiral review
Skills review
Standardized test pra
ctice
Geometry
L
ab
Graphing Technology Lab
Enrichment activities
Mid

chapter q
uiz
Practice test
Chapter/Unit test
Chapter 1 Project: Map
Your Town
Chapter 2 Project:
Scientific Method
Chapter 3 Project:
Function of Lines in
Construction
Activate prior
knowledge
Scaffolding questions
K

W

L
Cooperative learning
Reciprocal teaching
Peer tutoring
Writing to Learn
strategies
E
ntrance/e
xit tickets
Graphic organizers
Visualization
Four

step problem
solving
Differentiated
activities
Glencoe McGraw

Hill Geometry
(2010) student and teacher
editions
Research

Based Strategies:
Narrowing the Achievement Gap
for Under

Resourced Students
by
Ruby Payne, Ph.D.
Online teacher resources:
http:
//glencoe.mcgraw

hill.com/sites/0078884845/student
_view0/
Online student edition:
http://glencoe.mcgraw

hill.com/sites/0078884845/student
_view0/
Math websites (see attachment
)
Personal Tutor
Homework Help
Virtual manipulatives/calculator
Math journals
Sugg
este
d
Paci
ng
Themes/Concepts/Big Ideas
Standards

based Essential Skills
Formative/Summative
Assessments
(Writing Assignments,
Projects, Performances)
Instructional Strategies
Resources
Unit 2
35
days
Congruence
Congruent Triangles
Classifying Triangles
Angles of Triangles
Congruent Triangles
Proving Triangles:
Congruent, SSS, SAS
Proving Triangles Congruent:
ASA, AAS
Isosceles and Equilateral
Triangles
Congruence Transformations
Triangles and Coordinate
Proof
Relationships in Triangles
Bisectors of Triangles
Medians and Altitudes of
Triangles
Inequalities in One Triangle
Indirect Proof
The Triangle Inequali
ty
Inequalities in Two Triangles
Quadrilaterals
Angles of Polygons
Parallelograms
Tests for Parallelograms
Rectangles
Rhombi and Squares
Trapezoids and Kites
Congruent Triangles
Make conjectures about
polygons
Use numeric and geometric
patterns to make
generalizations
about geometric properties
Use logical reasoning to prove
statements
Relationships in Triangles
Use slope and equations of lines
to investigate geometric
relationships, including special
segments of triangles
Recognize and know historical
development of geometric
systems and know that
mathematics was developed for a
variety of purposes
Analyze geometric relationships
in order to verify conjectures
Quadrilaterals
Use numeric and geometric
patterns to make generalizations
about geometric
properties,
including properties of polygons
Formulate and test conjectures
about the properties and
attributes of polygons
Derive and use formulas
involving length, slope, and
midpoint
Formulate and test conjectures
about the properties and
attributes of
polygons
Diagnostic assessment
Real

world
connection
/examples
Check your understanding
Practice and problem
solving
H.O.T. problems
Spiral review
Skills review
Standardized test practice
Geometry
L
ab
Graphing Technology Lab
Enrichment activities
Mid

chapt
er quiz
Practice test
Chapter/Unit test
Chapte
r 4 Project:
Classifying Triangles
Chapter 5 P
roject:
Architecture: Triangular
Design
Chapt
er 6 Project: Real
World: Game Time
Activate prior
knowledge
Scaffolding questions
K

W

L
Cooperative learning
Response cards
Reciprocal teaching
Writing to Learn
strategies
E
ntrance/e
xit tickets
Graphic organizers
Visualization
Four

step problem
solving
Differentiated
activities
Glencoe McGraw

Hill Geometry
(2010) student and teacher
editions
Research

Based Strate
gies:
Narrowing the Achievement Gap
for Under

Resourced Students
by
Ruby Payne, Ph.D.
Online teacher resources:
http://glencoe.mcgraw

hill.com/sites/0078884845/student
_view0/
Online student edition:
http://glencoe.mcgraw

hill.com/sites/0078884845/student
_view0/
Math websites (see attachment)
Personal Tutor
Homework Help
Virtual manipulatives/calcu
lator
Math journals
Sugg
este
d
Paci
ng
Themes/Concepts/Big Ideas
Standards

based Essential Skills
Formative/Summative
Assessments
(Writing Assignments,
Projects, Performances)
Instructional Strategies
Resources
Unit 3
36
days
Similarity
Proportions and Similarity
Ratios and Proportions
Similar Polygons
Similar Triangles
Parallel Lines and
Proportional Parts
Parts of Similar Triangles
Similarity Transformations
Scale Drawings and Models
Right Triangles and Trigonometry
Geometric Mean
The Pythagorean Theorem
and its Converse
Special Right Triangles
Trigonometry
Angles of Elevation and
Depression
The Law of Sines and Law of
Cosines
Vectors
Transformations and Symmetry
Reflections
Translations
Rotations
Compositions of
Transformations
Symmetry
Dilations
Proportions and Similarity
Use ratios to solve problems
involving similar figures
Formulate and test conjectures
about the properties and
attributes of polygons and their
component p
arts based on
explorations and concrete
models
Right Triangles and Trigonometry
Use and extend similarity
properties to explore and justify
conjectures about geometric
figures
Derive, extend, and use the
Pythagorean Theorem
Identify and apply patterns fro
m
right triangles to solve
meaningful problems, including
special right triangles
(45°,

45°,

90° and 30°,

60°,

90°)
and triangles with sides that are
Pythagorean triplets
Develop, apply, and justify
triangle similarity relationships,
such as tri
gonometric ratios
using a variety of methods
Transformations and Symmetry
Use congruence transformations
to make conjectures and justify
properties of geometric figures
Diagnostic assessment
Real

world
connection/examples
Check your understanding
Practice and problem
solving
H.O.T. problems
Spiral review
Skills review
Standardized test practice
Geometry
lab
Graphing Technology Lab
Geometry Software Lab
Enrichment activities
Mid

chapter quiz
Practice test
Chapter/Unit test
Ch
apter 7 Project: Time
for a Rebound
Chapter 8 Project:
Graduation Planning
Chapter 9 Project:
Picture
This: Photography and
Tessellations
Activate prior
knowledge
Scaffolding questions
K

W

L
Cooperative learning
Response cards
Reciprocal teaching
Writing to Learn
strategies
Entrance/exit tickets
Graphic organizers
Visualization
Four

step problem
solving
Differentiated
activities
Glencoe McGraw

Hill Geometry
(2010) student and teacher
editions
Research

Based Strategies:
Narrowing the Achievement Gap
for Under

Resourced Stude
nts
by
Ruby Payne, Ph.D.
Online teacher resources:
http://glencoe.mcgraw

hill.com/sites/0078884845/student
_view0/
Online student edition:
http://glencoe.mcgraw

hill.com/sites/0078884845/student
_view0/
http://www.tessellations.org/
Totally Tessellated
http://library.thinkquest.org/16661
/
M.C. Escher Official Website
http://www.mcescher.com/
Math websites (see attachment)
Personal Tutor
Homework Help
Virtual manipulatives/calculator
Math journals
Sugg
este
d
Paci
ng
Themes/Concepts/Big Ideas
Standards

based Essential Skills
Formative/Summative
Assessments
(Writing Assignments,
Projects, Performances)
Instructional Strategies
Resources
Unit 4
33
days
Measurement
Circles
Circles and Circumference
Measuring Angles and Arcs
Arcs and Chords
Inscribed Angles
Tangents
Secants, Tangents, and Angle
Measures
Special Segments in a Circle
Equations of Circles
Areas of Polygons and Circles
Areas of
Parallelograms and
Triangles
Areas of Trapezoids,
Rhombi, and Kites
Areas of Circles and Sectors
Areas of Regular Polygons
and Composite Figures
Areas of Similar Figures
Extending Surface Area and Volume
Representations of Three

Dimensional Figures
Surfac
e Areas of Prisms and
Cylinders
Surface Areas of Pyramids
and Cones
Volumes of Prisms and
Cylinders
Volumes of Pyramids and
Cones
Spherical Geometry
Congruent and Similar Solids
Probability and Measurement
Representing Sample Spaces
Circles
Find areas of sectors and arc
lengths of circles using
proportional reasoning
Use numeric a
nd geometric
patterns to make generalizations
about geometric properties
including properties of angle
relationships in circles
Areas of Polygons and Circles
Find areas of rectangular
polygons, circles, and composite
figures
Find areas of sectors and arc
lengths of circles using
proportional reasoning
Extending Surface Area and Volume
Find surface areas and volumes
of prisms, pyramids, spheres,
cones, cylinders, and composites
of these figures
Describe the effect on area and
volume when one or more
dimens
ions of a figure are
changed
Probability and Measurement
Understand sample spaces and
design simulations
Compute probabilities for
independent, dependent,
mutually exclusive, not mutually
exclusive, and conditional events
Calculate geometric probabilities
Diagnostic assessment
Real

world
connection/examples
Check your understanding
Practice and problem
solving
H.O.T. problems
Spiral review
Skills review
Standardized test practice
Geometry L
ab
Graphing Technology Lab
Spreadsheet Lab
Enrichment
activities
Mid

chapter quiz
Practice test
Chapter/Unit test
Chapt
er 10 Project:
History of Crop Circles:
Circumference, Diameter,
Radius, and Tangents
Chapter
11 Project: Fun
With Arts and Crafts:
Cubes
Chapter 12 Project:
Geometry in Architecture:
S
olid Idea
Chapter 13 Project:
Carnival Time: Fun and
Games?
Activate prior
knowledge
Scaffolding questions
K

W

L
Cooperative learning
Response cards
Reciprocal teaching
Writing to Learn
strategies
Entrance/exit tickets
Graphic organizers
Visualization
Four

step problem
solving
Differentiated
activities
Glencoe McGraw

Hill Geometry
(2010) student and teacher
editions
Research

Based Strategies:
Narrowing the Achievement Gap
for Under

Resourced Students
by
Ruby Payne, Ph.D.
Online teacher resources:
http://glencoe.mcgraw

hill.com/sites/0078884845/student
_view0/
Online student edition:
http://glenco
e.mcgraw

hill.com/sites/0078884845/student
_view0/
Math websites (see attachment)
Personal Tutor
Homework Help
Virtual manipulatives/calculator
Math journals
Movie
Signs
(2002)
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