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Curriculum Map – Unit 1: Basics of Geometry
Teacher:
Month
/ Year
Aug Sept
SAUSEDA
Department: MATH
Essential Question(s)
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How do I make
predictions from
patterns?
How do I make
conjectures
using Inductive
Reasoning?
How do I sketch
a point, line,
plane, segment
and angle?
How do I draw
the intersection
of two
geometric
figures?
How do I
measure a
segment?
How do I use
the Segment
Addition
Postulate?
How do I
classify angles by
their measures?
How do I use a
protractor to
draw & measure
an angle?
How do I use
the Angle
Addition
Postulate?
How do I use
symbols to write
the name of a
point, line,
Content
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Patterns
Inductive
Reasoning
Points,
Lines,
Planes
Intersection
s
Segments
Angles
Skills
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Identify patterns and use them
to make predictions.
Apply Inductive Reasoning to
make conjectures.
Understand the basic concept of
a point, line, and plane and the
relationship between them.
Understand the intersection
between geometric figures.
Sketch figures and their
intersections.
Measure segments.
Understand and apply the
Segment Addition Postulate.
Classify angles by the measures.
Draw and measure angles using
a protractor.
Understand and apply the Angle
Addition Postulate.
Recognize and use correctly
symbols for naming points, lines,
planes, segments, and angles.
Course: GEOMETRY
Activities & Assessments
FORMATIVE
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Daily homework
assignments
Video lesson
Draw and measure
angles worksheet
Partner Activity:
Points, Lines, Planes,
etc. Table Matching
Group Activity: Points,
Lines, Planes, etc.
Multiple Choice/Short
Answer Questions
SUMMATIVE
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Quiz at end of every
two to three lessons
Extra Practice over unit
End of Unit Test
Standards


PASS 1.1, 2.2,
5.1
CC G.CO.1
Resources


Textbo
ok
Math’s
Cool
Video
Lesson
over
Langua
ge of
Geom
etry
plane, segment
and angle?
Curriculum Map – Unit 2: Segments and Angles
Teacher: SAUSEDA
Month
/ Year
Sept
Department: MATH
Essential Question(s)
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How to I bisect
a segment?
How do I find
midpoint
coordinates of a
segment?
How do I bisect
and angle?
How do I find
measures of
complementary
and
supplementary
angles?
How do I find
measures of
angles formed
by intersecting
lines?
How do I use ifthen statements?
How do I apply
the Law of
Detachment and
Law of
Syllogism?
How do I use
properties of
equality and
congruence?
Content
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Segment
Bisectors
Angle
Bisectors
Compleme
ntary and
Supplement
ary Angles
Vertical
Angles
Linear Pairs
If-then
Statements
Deductive
Reasoning
Properties
of Equality
and
Congruence
Skills
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Analyze segment bisectors and
know how to bisect a segment.
Apply the midpoint formula to
find the coordinates of the
midpoint of a segment.
Analyze angle bisectors and
know how to bisect an angle.
Identify complementary angles,
supplementary angles, vertical
angles and linear pairs.
Find measures of
complementary and
supplementary angles.
Find measures of angles formed
by intersecting lines (i.e., vertical
angles and linear pairs)
Use if-then statements
Apply the Laws of Logic (Law of
Detachment and Law of
Syllogism)
Use properties of equality and
congruence to justify
mathematical statements
Course: GEOMETRY
Activities & Assessments
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
FORMATIVE
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Daily homework
assignments
Extra practice
worksheets

SUMMATIVE
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Standards
Quiz at end of every
two to three lessons
End of Unit Test
Vocabulary Test over
Units 1 and 2
PASS 2.1, 2.2c,
5.1
CC
Resources
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
Textbo
ok
Power
Presen
tations
Disc
Board
works
power
points
Disc
Curriculum Map – Unit 3: Parallel and Perpendicular Lines
Teacher: SAUSEDA
Month
/ Year
Oct
Department: MATH
Essential Question(s)
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How do I
identify the
relationships
between lines?
How do I
identify the
relationship
between
perpendicularity
and right angles?
How do I
classify angles
formed by 2
lines and a
transversal?
What is the
relationship
between angles
formed by 2
“parallel” lines
cut by a
transversal?
What
information
about angles do
I need in order
to conclude that
lines forming
them with a
transversal are
parallel?
How do I write
the inverse,
converse, and
contrapositive
of an if-then
statement?
Content
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Parallel
lines
Perpendicul
ar lines
Skew lines
Parallel
planes
Lines
perpendicul
ar to planes
Transversal
s
Correspond
ing Angles
Alternate
Interior
Angles
Alternate
Exterior
Angles
Same-Side
Interior
Angles
Inverse
Converse
Contraposit
ive
Skills
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Identify relationships between
parallel, perpendicular, and skew
lines.
Understand and apply theorems
about perpendicular lines.
Identify the special angles pairs
formed by two lines and a
transversal.
Identify congruent angles
formed when a transversal cuts
parallel lines.
Identify supplementary angles
formed when a transversal cuts
parallel lines.
Write the inverse, converse, and
contrapositive of if-then
statements.
Explain whether lines are parallel
or not based on the angles
formed by a transversal.
Explain the various ways to
show that two lines are parallel.
Course: GEOMETRY
Activities & Assessments
FORMATIVE
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Daily homework
assignments
Extra practice over
identifying special angle
pairs
Enrichment over
special angle pairs
SUMMATIVE
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Quiz over every two
lessons
End of Unit Test
Standards
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PASS 2.2, 2.2a
CC G-CO.1 and
G-CO.9
Resources
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Textbo
ok
Power
point
Presen
tations
Disk
Usatest
prep
videos
Curriculum Map – Unit 4: Slope of Parallel and Perpendicular Lines
Teacher: SAUSEDA
Month
/ Year
Oct Nov
Department: MATH
Essential Question(s)
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How do I find
the slope of a
line?
How do I use
slope to
determine
parallel and
perpendicular
lines in a
coordinate
plane?
How do I write
equations of
parallel lines?
How do I write
equations of
perpendicular
lines?
Content
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Slope
Parallel
lines
Perpendicul
ar lines
Equations
of parallel
and
perpendicul
ar lines
Skills
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Use slope formula to find the
slope of a line
Use rise and run to find the
slope of a line
Use slope to determine if lines
are parallel or perpendicular
Write equations of parallel and
perpendicular lines.
Course: GEOMETRY
Activities & Assessments
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FORMATIVE
Worksheets
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SUMMATIVE
End of Unit Test
Standards
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PASS 5.1
CC G.CO.9
Resources
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Textbo
ok
Power
point
present
ations
disk
Usatest
prep
videos
Curriculum Map – Unit 5: Triangle Relationships
Teacher: SAUSEDA
Month
/ Year
Nov Dec
Department: MATH
Essential Question(s)
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How do I
classify triangles
by their angles?
How do I
classify triangles
by their sides?
How do I find
interior and
exterior angle
measures of a
triangle?
How do I find
side lengths and
angle measures
of an isosceles
triangle?
How do I use
Pythagorean
Theorem to find
missing side of a
right triangle?
How do I use
Distance
Formula to find
distance
between two
points?
How do I use
side lengths of a
triangle to
determine if it is
acute, right, or
obtuse?
How do I use
centroid of a
triangle to find
segment lengths
related to the
Content
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Triangles
Interior
angles
Exterior
angles
Isosceles
triangles
Equilateral
triangles
Pythagorea
n Theorem
Distance
Formula
Right
Triangles
Converse of
Pythagorea
n Theorem
Median of a
triangle
Centroid of
a triangle
Skills
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Classify triangles according to
number of congruent sides.
Classify triangle by their angle
measures.
Apply the Triangle Sum
Theorem to find interior angle
measures of a triangle.
Apply the Exterior Angle
Theorem to find exterior angle
measures of a triangle.
Use properties of Isosceles and
Equilateral triangles.
Apply the Pythagorean Theorem
to find missing side of a right
triangle.
Apply the Distance Formula to
find the distance between two
points on the coordinate plane.
Apply the Converse of the
Pythagorean Theorem to
determine if a triangle is a right
triangle.
Use side lengths of a triangle to
classify it as acute, right or
obtuse.
Identify medians in triangles.
Use the notion of centroid to
find segment lengths related to
the median.
Use the angle measures in a
triangle to determine longest and
shortest sides.
Use the side lengths of a
triangles to determine largest and
smallest angles
Course: GEOMETRY
Activities & Assessments
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FORMATIVE
Daily homework
assignments from
textbook or worksheets
SUMMATIVE
Quiz at end of every
two to three lessons
Extra practice of unit
End of Unit Test
Standards


PASS 2.3b, 3.1,
5.1
CC G-CO.10,
G-SRT.8
Resources
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
Textbo
ok
Power
point
present
ations
disk
Usatest
prep
videos
for
Distan
ce
Formu
la and
Pythag
orean
Theore
m
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median?
How do I use
angle measures
to determine
shortest and
longest sides of
a triangle?
How do I use
side lengths to
determine
smallest and
largest angles of
a triangle?
Curriculum Map – Unit 6: Congruent Triangles
Teacher: SAUSEDA
Month
/ Year
Dec Jan
Department: MATH
Essential Question(s)
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How do I
identify
congruent
triangles?
How do I
identify
corresponding
parts?
How do I use
the shortcut
methods to
show triangles
are congruent?
How do I show
that
corresponding
parts of
congruent
triangles are
congruent?
Content
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Correspond
ing parts
Congruent
figures
SSS, SAS,
ASA, AAS,
HL
Distance
from a
point to a
line
Equidistant
Perpendicul
ar Bisector
Skills
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Identify congruent triangles and
corresponding parts.
Show triangles are congruent
using SSS, SAS, ASA, AAS, and
HL.
Write congruence statements for
congruent triangles correctly.
Show corresponding parts of
congruent triangles are
congruent.
Use angle bisectors and
perpendicular bisectors.
Course: GEOMETRY
Activities & Assessments
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FORMATIVE
Daily homework
assignments
Extra practice over
SSS, SAS, ASA, AAS
SUMMATIVE
Quiz after every two
lessons
End of Unit Test
Congruent Triangles
Project
Standards
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PASS 2.5a, 2.5b
CC G-CO.7,
G-CO.8,
G-CO.9,
G-CO.12
Resources


Textbo
ok
Power
point
Presen
tations
disk
Curriculum Map – Unit 7: Transformations
Teacher: SAUSEDA
Month
/ Year
Dec Jan
Department: MATH
Essential Question(s)
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How do I
identify a
translation?
How do I
identify a
reflection?
How do I
identify a
rotation?
How do I
identify a
dilation?
How do I find
the scale factor
of a dilation?
How do I
describe
transformations
using words?
How do I
describe
transformations
using coordinate
notation or
motion rule?
How do I draw
the image of a
translation,
reflection or
rotation?
How do I
determine if a
figure has line or
rotational
symmetry?
Content
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Transforma
tions
Image
Translation
Reflection
Rotation
Dilation
Scale Factor
of Dilation
Coordinate
Notation or
Motion
Rule
Line
Symmetry
Rotational
Symmetry
Line of
Symmetry
Angles of
Rotation
Skills
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Identify whether a
transformation is a translation, a
reflection or a rotation?
Describe transformations using
words.
Describe transformations using
Coordinate Notation or Motion
Rules.
Draw the image of a figure given
the rule for a translation,
reflection or rotation.
Determine whether figures have
line symmetry or rotational
symmetry.
Determine angles of rotation
about a given center of rotation.
Determine angles of rotation
that map a figure onto itself.
Determine whether the dilation
of a figure is a reduction or an
enlargement.
Determine the scale factor of a
dilation.
Course: GEOMETRY
Activities & Assessments
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
FORMATIVE
Daily homework
assignments
Video lessons
SUMMATIVE
Extra practice
worksheets
End of Unit Test
End of Unit
Transformations
Writing Assignment
(Honors Geometry)
Standards
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PASS 5.2b
CC G-CO.2
through G-CO.5
CC G-SRT.1
Resources

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

Textbo
ok
Math’s
Cool
Video
Lesson
s
Usatest
prep
videos
Kutaso
ftware
worksh
eets
Curriculum Map – Unit 8: Quadrilaterals
Teacher: SAUSEDA
Month
/ Year
Jan Feb
Department: MATH
Essential Question(s)
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How do I
identify figures
that are
polygons?
How do I
classify polygons
by the number
of sides they
have?
How do I find
angle measures
of
quadrilaterals?
How do use
properties of
parallelograms,
rhombuses,
rectangles,
squares, and
trapezoids to
find their side
lengths and
angle measures?
How do I show
that a
quadrilateral is a
parallelogram?
How do I
identify a
quadrilateral as
one of the
special
quadrilaterals?
Content
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Polygons
Parallelogra
ms
Rhombuses
Rectangles
Squares
Trapezoids
Isosceles
trapezoids
Properties
of all special
Quadrilater
als
Skills
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Identify whether a figure is a
polygon.
Classify the most common types
of polygons according to the
number of sides.
Apply the Quadrilateral Interior
Angles Theorem to find angle
measures in quadrilaterals.
Identify parallelograms,
rectangles, rhombuses, squares
and trapezoids.
Use properties of parallelograms,
rectangles, rhombuses, squares
and trapezoids.
Explore ways to determine
whether a quadrilateral is a
parallelogram, rectangle,
rhombus, or square.
Course: GEOMETRY
Activities & Assessments
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
FORMATIVE
Daily homework
assignments
SUMMATIVE
Quizzes after every two
to three lessons
Extra practice
worksheets
End of unit test
Properties of
Quadrilaterals Test
Quadrilaterals Project
(Honors Geometry)
Standards
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
PASS 2.3a,
2.3b, 2.3c
CC G-CO.11
Resources

Textbo
ok
Curriculum Map – Unit 9: Similarity
Teacher: SAUSEDA
Month
/ Year
Feb
Department: MATH
Essential Question(s)
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How do I write
a proportion?
How do I solve
proportions?
How do I
determine
similar
polygons?
How do I find
the scale factor
of similar
polygons?
How do I write
a similarity
statement?
How do I write
a statement of
proportionality?
How do I find
the ratio of the
perimeters for
similar
polygons?
How do I use
AA, SSS, and
SAS to
determine if two
triangles are
similar?
How do I use
the Triangle
Proportionality
Theorem to
determine
segment
lengths?
How do I use
the Converse of
Content
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Ratios
Proportions
Means
Extremes
Cross
Product
Property
Similar
Polygons
Scale Factor
AA
Similarity
Postulate
SSS
Similarity
Theorem
SAS
Similarity
Theorem
Perimeters
of Similar
Polygons
Midsegmen
t of a
Triangle
Skills
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Use ratios to determine segment
lengths and side lengths of
rectangles.
Use Cross Product Property to
solve proportions.
Understand how to write
proportions.
Identify all pairs of congruent
angles and proportional sides of
congruent polygons.
Write a similarity statement.
Write a statement of
proportionality.
Find the scale factor of similar
polygons.
Find the ratio of perimeters of
similar polygons.
Show triangles are similar using
the AA Similarity Postulate.
Show triangles are similar using
the SSS and SAS Similarity
Theorems.
Understand and apply the
Triangle Proportionality
Theorem and its converse.
Use the Midsegment Theorem to
find the length of a midsegment
of a triangle.
Course: GEOMETRY
Activities & Assessments




FORMATIVE
Daily homework
assignments.
Math’s Cool Video
lesson over Similarity
SUMMATIVE
End of Unit Quiz or
Test
Plan-to-Pass EOI
review worksheets.
Standards


PASS 2.4b
CC
Resources


Textbo
ok
Math’s
Cool
video

the Triangle
Proportionality
Theorem to
determine if
segments are
parallel?
How do I find
the length of a
midsegment of a
triangle?
Curriculum Map – Unit 10: Polygons and Area
Teacher: SAUSEDA
Month
/ Year
Feb.
Department: MATH
Essential Question(s)
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How do I
classify polygons
as convex or
concave?
How do I
classify polygons
as equilateral,
equiangular, or
regular?
How do I find
the sum of the
interior angles of
a polygon?
How do I find
the sum of the
exterior angles
of a polygon?
How do I find
the area of a
parallelogram?
How do I find
the area of a
square?
How do I find
the area of a
rectangle?
How do I find
the area of a
triangle?
How do I find
the area of a
rhombus?
How do I find
the area of a
trapezoid?
How do I find
the
circumference
Content
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Polygons
Convex
Concave
Equilateral
Equiangular
Regular
Interior
angle
Exterior
angle
Area
Height
Base
Circle
Center of
Circle
Radius
Diameter
Circumfere
nce
Central
Angle
Sector
Area of
Similar
Polygons
Skills
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Classify polygons as convex or
concave
Classify polygons as equilateral,
equiangular, or regular.
Find the sum of the measures of
the interior angles of a convex
polygon.
Find the sum of the measures of
the exterior angles of a convex
polygon.
Find the measure of an interior
angle of a regular polygon.
Find the area of squares and
rectangles.
Find the area of complex
polygons.
Find the area of triangles.
Find the ratio of areas of similar
polygons.
Find the area of parallelograms
and rhombuses.
Find the area of trapezoids.
Given the area of a polygon, find
the missing dimensions.
Find the circumference of a
circle.
Find the area of a circle.
Find the area of a sector of a
circle.
Apply area formulas for
polygons and circles to solve
real-life situation word problems.
Course: GEOMETRY
Activities & Assessments




FORMATIVE
Daily homework
assignments.
SUMMATIVE
End of Unit Test
Area of Irregular
Shapes worksheet
Properties of 2dimensional figures
(Plan-toPassworksheet)
Standards


PASS 2.3a,
2.3b, 2.3d
CC
Resources

Textbo
ok


of a circle?
How do I find
the area of a
circle?
How do I find
the area of a
sector of a
circle?
Curriculum Map – Unit 11: Surface Area and Volume
Teacher: SAUSEDA
Month
/ Year
March
Department: MATH
Essential Question(s)
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
How do I
identify solids?
How do I
determine if a
solid is a
polyhedral?
How do I name
a prism?
How do I name
a pyramid?
How do
determine faces,
edges, and
vertices of a
solid?
How do I
determine the
net of a solid?
How do I find
surface area of
prisms and
cylinders?
How do I find
lateral area of
prisms and
cylinders?
How do I find
surface area of
pyramids and
cones?
How do I
determine the
slant height or
height of
pyramids and
cones?
How do I find
the volume of
Content
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Solid
Polyhedra
Platonic
Solids
Base
Face
Edge
Vertices
Prism
Surface
Area
Lateral face
Lateral area
Cylinder
Pyramid
Height of
Pyramid
Slant height
of pyramid
Cone
Height of
Cone
Slant height
of cone
Volume
Sphere
Hemisphere
Skills
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Identify solids
Name solids
Identify solids that are Polyhedra
Identify the Platonic Solids
Determine bases, faces, edges
and vertices of a solid
Determine the net of a solid
Find the Surface Area of prisms,
cylinders, pyramids, cones,
spheres and hemispheres
Find the lateral area of solids
Determine the height or slant
height of pyramids and cones
Find the Volume of prisms,
cylinders, pyramids, cones,
spheres and hemispheres
Apply surface area and volume
formulas to solve real-life
situation word problems
Course: GEOMETRY
Activities & Assessments
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FORMATIVE
Math’s Cool Video
lesson over 3dimensional shapes
Do Math’s Cool Video
Guided Practice
worksheets together
Assign Daily
worksheets for
independent practice
SUMMATIVE
End of Unit Test
Additional practice
worksheets with more
challenging problems
involving solids
Standards
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PASS 4.1a, 4.1b
CC G-CMD.3
Resources
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Textbo
ok
Models
of
solids
Usatest
prep
videos
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prisms and
cylinders?
How do I find
the volume of
pyramids and
cones?
How do I find
surface area and
volume of
spheres and
hemispheres?
Curriculum Map – Unit 12: Right Triangles and Trigonometry
Teacher: SAUSEDA
Month
/ Year
Mar April
Department: MATH
Essential Question(s)
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How do I
simplify radicals
without a
calculator?
How do I use a
calculator to
find square
roots?
How do I
multiply radicals
without a
calculator?
How do I
determine if a
triangle is a
special right
triangle?
How do I find
side lengths of
45-45-90
triangles?
How do I
determine the
shorter leg and
longer leg of a
30-60-90
triangles?
How do I find
side lengths of a
30-60-90
triangle?
How do I
determine the
tangent, sine and
cosine ratios of
an acute angle of
a right triangle?
How do I use
Content
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Radical
Radicand
45-45-90
triangles
Shorter leg
Longer leg
30-60-90
triangles
Trigonomet
ric ratios
Opposite
leg
Adjacent
leg
Tangent
Sine
Cosine
Inverse Tan
Inverse Sin
Inverse Cos
Angles of
Elevation
Angles of
Depression
Law of
Sines
Law of
Cosines
Skills
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Simplify radicals
Use a calculator to find square
roots
Multiply radicals
Determine whether a right
triangle is a special 45-45-90 or
30-60-90 triangle.
Use the 45-45-90 Triangle
Theorem to find side lengths of
a right triangle.
Use the 30-60-90 Triangle
Theorem to find side lenths of a
right triangle.
Find the tangent, sine, and
cosine ratios of an acute angle of
a right triangle.
Use SIN, COS, and TAN
functions on a calculator to
approximate the trig ratios of an
angle.
Use inverse TAN, inverse SIN
and inverse COS functions on a
calculator to approximate angle
measures of a right triangle.
Understand how to set up
proportions using trig ratios to
find missing side lengths and
angles of a right triangle.
Solve a right triangle.
Apply trig ratios to solve real-life
situation word problems.
Solve problems involving angles
of elevation and angles of
depression.
Understand under what cases the
Laws of Sines and Law of
Cosines can be used.
Course: GEOMETRY
Activities & Assessments
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
FORMATIVE
Daily homework
assignments.
SUMMATIVE
End of Unit Test
Extra Practice
worksheets over trig
ratios
Standards
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
PASS 3.2, 3.3
CC G-STR.6,
G-STR.7,
G-SRT.11
Resources
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Textbo
ok
Scienti
fic
calcula
tor
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
the SIN, COS,
and TAN
functions on a
calculator?
How do I use
trig ratios to find
missing side
lengths of a
right triangle?
How do I use
inverse trig
ratios to
determine the
acute angles of a
right triangle?
How do I solve
a right triangle?
When and how
do I use the Law
of Sines to find
missing sides or
angles of a
triangle?
When and how
do I use the Law
of Cosines to
find missing
sides or angles
of a triangle?
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Use the Law of Sines and or Law
of Cosines to solve a triangle.
Curriculum Map – Unit 13: Circles
Teacher: SAUSEDA
Month
/ Year
April
Department: MATH
Essential Question(s)
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How do I
identify a chord,
secant, and
tangent of a
circle?
How do I find
the measure of a
central angle?
How do I find
the measure of a
minor arc?
How do I find
the measure of a
major arc?
How do I find
the length of an
arc?
How do I
determine if two
arcs are
congruent?
How do I find
the measure of
an inscribed
angle?
How do I
determine if a
line is tangent to
a circle?
How do I
determine
measures of
angles formed
by intersecting
chords?
How do I
determine
measures of
Content
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Chord
Secant
Tangent
Point of
Tangency
Radius
Diameter
Center of
Circle
Central
Angle
Major Arc
Minor Arc
Semicircle
Arc
measure
Arc length
Inscribed
Polygon
Circumscrib
ed Circle
Inscribed
Angle
Circumscrib
ed Polygon
Equations
of Circles
Skills
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Name the term that best
describes a given line, segment
and point in a circle.
Find the measures of minor arcs,
major arcs, and semicircles.
Understand and apply the Arc
Addition Postulate to determine
the measure of an arc formed by
two adjacent arcs.
Find the length of an arc.
Understand and apply different
properties used to determine if
two arcs are congruent.
Determine measures of arcs
formed by inscribed polygons.
Determine arc and chord lengths
formed by diameters
perpendicular to a chord.
Find the measure of an inscribed
angle.
Determine measures of angles of
inscribed polygons.
Understand and apply
relationships involving tangents
to find segment lengths.
Understand properties of
circumscribed polygons to find
segment lengths.
Find measures of angles formed
by secants and tangents.
Find measures of segments
formed when two chords
intersect in a circle.
Find measures of segments
formed when tangents intersect
outside a circle.
Find equations of circles on the
Course: GEOMETRY
Activities & Assessments
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
FORMATIVE
Daily homework
assignments.
SUMMATIVE
End of Unit Test
Extra Practice
worksheets.
Standards
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
PASS 2.6
CC G-C.2,
CC G-C.4,
CC G-CO.13
CC G-GPE.1
Resources


Textbo
ok
Study
Guide
Packet
from
Glenco
e
textbo
ok
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segments of
intersecting
chords?
How do I
determine
measures of
angles formed
by intersecting
secants and
tangents?
How do I
determine
segment lengths
formed by
secants and
tangent?
How do I find
the equation for
a circle on the
coordinate
plane?
How do I graph
a circle on a
coordinate plane
given an
equation?

coordinate plane.
Graph circles on the coordinate
plane.