BCCS
9th & 10th grade GEOMETRY Curriculum Map
(Revised 4-05)
Month
Exploring
Geometry
Content
Skills
Essential Questions
What topic(s) is being covered and
what is the important vocabulary?
What do students need to know
What do students have to be able to
do connected to the Content?
What are fundamental, enduring
questions that will guide study
and instruction?
Integrate vocabulary into
working mathematical
knowledge base in order to
apply to current problems.
How to Integrate vocabulary
into working mathematical
knowledge base in order to
apply to current problems?
Identify symmetries and
characteristics of plane figures.
How to identify symmetries
and characteristics of plane
figures?
Topic:
Vocabulary:
Exploring Plane
Figures and
symmetry
Congruent
figures
Similar figures
Scale
Coordinate
plane
Origin
Quadrant/Octa
nt
X/Y/Z-Axis
Conditional
Statements
Hypothesis/Co
nclusion
Counterexamp
le
Symmetry
(rotation,
reflection)
Three
Dimensional
figures and
symmetry
Perspective,
Orthogonal,
and Isometric
Drawings
Explore Scale
Drawings and
Models
Distance in a
coordinate
system
Conditional
Statements
Identify and draw Orthogonal,
Perspective, and Isometric
Drawings.
Use scales to convert
dimensions from drawn images
to actual object and vise versa.
Determine the distance between
two points on a coordinate
plane.
Identify, write, and determine the
validity of conditional statements
(Including hypothesis and
conclusion.)
How to identify and draw
Orthogonal, Perspective,
and Isometric Drawings?
How to use scales to convert
dimensions from drawn
images to actual object and
vise versa?
How to determine the
distance between two points
on a coordinate plane?
How to identify, write, and
determine the validity of
conditional statements
(Including hypothesis and
conclusion.)?
1
Standards/
Benchmarks
What benchmarks
are met through
this topic?
II.CS.1.HS.1-7
II.CS.2.HS.1
Instruction
Resources
Assessment
What activities are
used to develop the
skills and knowledge?
What materials, texts,
videos, internet, software, or
human resources support
instruction?
What evidence (products
and/or performances) is
collected to establish that
the Content and Skills
have been learned?
Worksheets
Textbook
assignments
Classroom
activities
Projects
Constructions
Group Work
Geometry – An Integrated
Approach (SouthWestern Educational
Publishing, Copyright
@1998), Chapter 1
Quizzes
Tests
Homework
Daily activities
Graph paper
Protractors
Rulers
Compass
BCCS
9th & 10th grade GEOMETRY Curriculum Map
(Revised 4-05)
Month
Content
What topic(s) is being covered and
what is the important vocabulary?
What do students need to know
Geometry
and Logic
Topic:
Vocabulary:
Points
Lines
Planes
Segment
Relationships
Inductive
Reasoning
Postulates
Involving
Angles
More About
Conditional
Statements
Algebraic
Properties
Deductive
Reasoning
Collinear /
Coplanar
Line / Segment
Ray
Intersection
Distance
Midpoint
Segment bisector
Conjecture
Inductive/Deductive
reasoning
Acute/Obtuse
angles
Linear Pair
Right angle
Straight angle
Complementary /
Supplementary
angles.
Vertex of an angle
Adjacent angles
Biconditional
Contrapositive
Converse
Inverse
Skills
Essential Questions
What do students have to be able
to do connected to the Content?
What are fundamental, enduring
questions that will guide study
and instruction?
Integrate vocabulary into
working mathematical
knowledge base in order to
apply to current problems.
How to integrate vocabulary
into working mathematical
knowledge base in order to
apply to current problems?
Demonstrate relationships of
points, lines, and planes within
3-D drawings.
How to demonstrate
relationships of points, lines,
and planes within 3-D
drawings?
Identify similarities and
differences between Inductive
and Deductive Reasoning. Go
beyond this analysis to
communicate thought in both
inductive and deductive ways
thereby writing conjectures
based on given patterns.
Identify acute, obtuse, right,
complementary, and
supplementary angles within
planar figures.
Be able to write, change
between, and process the truth
value of conditional,
biconditional, converse, and
inverse statements.
How to identify similarities
and differences between
Inductive and Deductive
Reasoning. Go beyond this
analysis to communicate
thought in both inductive and
deductive ways thereby
writing conjectures based on
given patterns?
How to identify acute,
obtuse, right,
complementary, and
supplementary angles within
planar figures?
How to be able to write,
change between, and
process the truth value of
conditional, biconditional,
converse, and inverse
statements?
2
Standards/
Benchmarks
What benchmarks
are met through
this topic?
II.CS.1.HS.1-4
Instruction
Resources
Assessment
What activities are
used to develop the
skills and knowledge?
What materials, texts,
videos, internet, software, or
human resources support
instruction?
What evidence (products
and/or performances) is
collected to establish that
the Content and Skills
have been learned?
Worksheets
Textbook
assignments
Classroom
activities
Projects
Constructions
Group Work
Geometry – An Integrated
Approach (SouthWestern Educational
Publishing, Copyright
@1998), Chapter 2
Quizzes
Tests
Homework
Daily activities
Graph paper
Protractors
Rulers
Compass
BCCS
9th & 10th grade GEOMETRY Curriculum Map
(Revised 4-05)
Month
Lines,
Planes
and
Angles
Content
Skills
Essential Questions
What topic(s) is being covered and
what is the important vocabulary?
What do students need to know
What do students have to be able to
do connected to the Content?
What are fundamental, enduring
questions that will guide study
and instruction?
Integrate vocabulary into
working mathematical
knowledge base in order to
apply to current problems.
How to integrate vocabulary into
working mathematical
knowledge base in order to
apply to current problems.
Topic:
Vocabulary:
Relationships
among Lines
Parallel Lines
and
Transversals
Proving Lines
are Parallel
Slope of
Lines
Equations of
Lines
Coordinate
Proofs
Vectors and
vector
diagrams.
Oblique,
Parallel,
skew, and
Perpendicular
Lines
Vertical angles
Exterior/Interior
Angles
Alternate
Exterior/Interior
angles
Same-side
Interior angles
Transversals
Slope
Slope-Intercept
Form of Linear
Equations.
Standard Form
of Linear
Equations.
Vector
Initial/Terminal
Point
Magnitude
Parallel/Perpen
dicular Vectors
Dot Product
Correctly identify and
communicate the relationships of
Alt. Ext., Alt. Int., Same-side Int.,
and Corresponding angles.
From this information be able to
solve algebraic planar figures
involving above angles to
determine angles and whether
the lines are parallel.
Be able to determine the
equation of ANY line from any
subset of the following
information (two points, slope
and y-intercept, slope and point,
y-intercept and point, or graph)
Determine the ordered pair
representations of vectors
through points and graphic
representations. With two
vectors established, then
determine their sum, magnitude,
and dot product in order to find
out the resultant vector and if
they are perpendicular.
How to correctly identify and
communicate the relationships
of Alt. Ext., Alt. Int., Same-side
Int., and Corresponding angles.
From this information be able to
solve algebraic planar figures
involving above angles to
determine angles and whether
the lines are parallel?
How to be able to determine the
equation of ANY line from any
subset of the following
information (two points, slope
and y-intercept, slope and point,
y-intercept and point, or graph)?
How to determine the ordered
pair representations of vectors
through points and graphic
representations. With two
vectors established, then
determine their sum,
magnitude, and dot product in
order to find out the resultant
vector and if they are
perpendicular?
3
Standards/
Benchmarks
What benchmarks
are met through
this topic?
II.CS.3.HS.1
II.CS.3.HS.2
II.CS.3.HS.6
Instruction
Resources
Assessment
What activities are
used to develop the
skills and knowledge?
What materials, texts,
videos, internet, software, or
human resources support
instruction?
What evidence (products
and/or performances) is
collected to establish that
the Content and Skills
have been learned?
Worksheets
Textbook
assignments
Classroom
activities
Projects
Constructions
Group Work
Geometry – An Integrated
Approach (SouthWestern Educational
Publishing, Copyright
@1998), Chapter 3
Quizzes
Tests
Homework
Daily activities
Graph paper
Protractors
Rulers
Compass
BCCS
9th & 10th grade GEOMETRY Curriculum Map
(Revised 4-05)
Month
Content
What topic(s) is being covered and
what is the important vocabulary?
What do students need to know
Transformations in
the Plane
Topic:
Vocabulary:
Polygons
Exploring
Transformations
Reflections
Translations
Rotations
Compositions of
Transformations
Algebraic
Transformations
Concave, convex
polygon
Diagonals
Equilateral/Equia
ngular Polygons
N-gons
Regular
Polygons
Side of a polygon
Exterior Angle of
a Polygon.
Vertex of a
polygon
Transformation
(Translation,
Reflection, and
Rotation.)
Congruent
Polygons
Line of reflection
Translation
Vector
Angle of rotation
Center of rotation
Composition of
transformations
Skills
Essential Questions
What do students have to be able to
do connected to the Content?
What are fundamental, enduring
questions that will guide study
and instruction?
Integrate vocabulary into working
mathematical knowledge base in
order to apply to current problems.
How to integrate vocabulary into
working mathematical
knowledge base in order to
apply to current problems?
Identify graphically and algebraicly
the image and pre-image of any
single or composition of
transformations.
How to identify graphically and
algebraicly the image and preimage of any single or
composition of transformations?
4
Standards/
Benchmarks
What benchmarks
are met through
this topic?
II.CS.2.HS.1-5
II.CS.1.HS.5
Instruction
Resources
Assessment
What activities are
used to develop the
skills and knowledge?
What materials, texts,
videos, internet, software, or
human resources support
instruction?
What evidence (products
and/or performances) is
collected to establish that
the Content and Skills
have been learned?
Worksheets
Textbook
assignments
Classroom activities
Projects
Constructions
Group Work
Geometry – An Integrated
Approach (South-Western
Educational Publishing,
Copyright @1998),
Chapter 4
Quizzes
Tests
Homework
Daily activities
Graph paper
Protractors
Rulers
Compass
BCCS
9th & 10th grade GEOMETRY Curriculum Map
(Revised 4-05)
Month
Content
What topic(s) is being covered and
what is the important vocabulary?
What do students need to know
Triangles
and
Congruencies
Topic:
Vocabulary:
Triangles
Angles of
Polygons
Proving
Triangles
Congruent
Overlapping
Triangles
Other ways to
prove
Triangles
Congruent.
Flow Proofs
Using
Congruent
Triangles
Acute Triangle
Equilateral
triangle
Exterior angle
of a triangle
Isosceles/obtus
e/right/scalene
triangles
Exterior angle
of a polygon
Flow proofs
Skills
Essential Questions
What do students have to be able to
do connected to the Content?
What are fundamental, enduring
questions that will guide study
and instruction?
Integrate vocabulary into
working mathematical
knowledge base in order to
apply to current problems.
How to integrate vocabulary
into working mathematical
knowledge base in order to
apply to current problems?
Algebraicly solve for angles
involved with triangles, polygons,
congruent triangles, and
overlapping triangles using
characteristics derived from
postulates and theorems.
How to algebraicly solve for
angles involved with
triangles, polygons,
congruent triangles, and
overlapping triangles using
characteristics derived from
postulates and theorems?
5
Standards/
Benchmarks
What benchmarks
are met through
this topic?
II.CS.1.HS.1-7
II.CS.3.HS.4-6
Instruction
Resources
Assessment
What activities are
used to develop the
skills and knowledge?
What materials, texts,
videos, internet, software, or
human resources support
instruction?
What evidence (products
and/or performances) is
collected to establish that
the Content and Skills
have been learned?
Worksheets
Textbook
assignments
Classroom
activities
Projects
Constructions
Group Work
Geometry – An Integrated
Approach (SouthWestern Educational
Publishing, Copyright
@1998), Chapter 5
Quizzes
Tests
Homework
Daily activities
Graph paper
Protractors
Rulers
Compass