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COMMON CORE GEOMETRY CURRICULUM MAP
Units
and Topics
Teaching Points
(Essential
Questions)
Time
Frame
1- Coordinate
Geometry
-calculate midpoints,
slope, distance
Sept.
Assessments
Homework’s
Weeks
-calculate points on a
line segment that
divide the segment
proportionally
-understand what
makes lines
perpendicular
-write the equations
of lines that are
perpendicular
through a certain
point
Resources
engageny.org
Examgen
Unit Test
2-4
jmap.org
Daily Summaries
Stop-Light
Checks for
Understanding
Geometry
Common Core
(Pearson)
problemattic.com
khanacademy.
org
deltamath.com
Common Core Standards
HSG-CO.A.1
Know precise definitions of angle, circle, perpendicular line,
parallel line, and line segment, based on the undefined
notions of point, line, distance along a line, and distance
around a circular arc.
HSG-GP.E.B.5
Prove the slope criteria for parallel and perpendicular lines
and use them to solve geometric problems (e.g., find the
equation of a line parallel or perpendicular to a given line that
passes through a given point).
COMMON CORE GEOMETRY CURRICULUM MAP
2- Angle Re
lationships
-solve algebraic
problems involving
complementary,
supplementary, and
vertical angles
-discover the angle
relationships formed
when two parallel
lines are cut by a
transversal
Oct.
Homework’s
Weeks
engageny.org
Examgen
Unit Test
1-2
jmap.org
Daily Summaries
Stop-Light
Checks for
Understanding
Geometry
Common Core
(Pearson)
problemattic.com
khanacademy.
org
deltamath.com
HSG-CO.C.9
Prove theorems about lines and angles. Theorems include:
vertical angles are congruent; when a transversal crosses
parallel lines, alternate interior angles are congruent and
corresponding angles are congruent; points on a
perpendicular bisector of a line segment are exactly those
equidistant from the segment’s endpoints.
COMMON CORE GEOMETRY CURRICULUM MAP
3Constructions
-use a compass and a
straightedge to copy
a line segment; copy
an angle; construct a
perpendicular
bisector; bisect an
angle; construct an
equilateral triangle;
construct a parallel
and perpendicular
through a given
point; construct an
equilateral triangle,
square, and a
hexagon inscribed in
a circle
Oct.
Homework’s
Weeks
engageny.org
Examgen
Unit Test
3-4
jmap.org
Daily Summaries
Stop-Light
Checks for
Understanding
Geometry
Common Core
(Pearson)
problemattic.com
khanacademy.
org
deltamath.com
HSG-CO.D.12
Make formal geometric constructions with a variety of tools
and methods. Copying a segment; copying an angle; bisecting
a segment; bisecting an angle; constructing perpendicular
lines, including the perpendicular bisector of a line segment;
and constructing a line parallel to a given line through a point
not on the line.
HSG-CO.D.13
Construct an equilateral triangle, square, and a regular
hexagon inscribed in a circle
COMMON CORE GEOMETRY CURRICULUM MAP
3Transformatio
ns
-use the rules to
perform a rotation,
translation, and line
reflection
Nov.
Homework’s
Weeks
Examgen
Unit Test
1-3
-understand how to
dilate a polygon and
a line segment
-understand the
properties of all the
transformations
-identify and
recognize the
different
transformations
-perform a
composition of
transformations
-understand
congruence in terms
of rigid motions
engageny.org
jmap.org
Daily Summaries
Stop-Light
Checks for
Understanding
Geometry
Common Core
(Pearson)
problemattic.com
khanacademy.
org
deltamath.com
HSG-CO.A.2
Represent transformations in the plane using, e.g.,
transparencies and geometry software; describe
transformations as functions that take points in the plane as
inputs and give other points as outputs. Compare
transformations that preserve distance and angle to those
that do not.
HSG-CO.A.3
Given a rectangle, parallelogram, trapezoid, or regular
polygon, describe the rotations and reflections that carry it
onto itself
HSG-CO.A.5
Given a geometric figure and a rotation, reflection, or
translation, draw the transformed figure using, e.g., graph
paper, tracing paper, or geometry software. Specify a
sequence of transformations that will carry a given figure
onto one another.
HSG-CO.B.7
Use the definition of congruence in terms of rigid motions to
show that two triangles are congruent if and only if
corresponding pairs of sides and corresponding pairs of
angles are congruent.
HSG-SRT.A.1
Verify experimentally the properties of dilations given by a
center and a scale factor.
COMMON CORE GEOMETRY CURRICULUM MAP
3-Triangles
-understand the
relationship that the
interior angles of a
triangle have a sum
of 180◦
-use the relationship
between the interior
and exterior angles of
a triangle to solve
problems
-understand what the
midsegment and its
properties are
-use properties of
isosceles and right
triangles to find
missing pieces of a
triangle
-solve problems
involving the centroid
of a triangle
-prove theorems
about triangles in the
coordinate plane
Nov.
Homework’s
Week 4
engageny.org
Examgen
Unit Test
Dec.
Weeks
1-2
jmap.org
Daily Summaries
Stop-Light
Checks for
Understanding
Geometry
Common Core
(Pearson)
problemattic.com
khanacademy.
org
deltamath.com
HSG-CO.C.10
Prove theorems about triangles. Theorems include:
measures of interior angles of a triangle sum to 180; base
angles of isosceles triangles are congruent; the segment
joining the midpoints of two sides of a triangle is parallel to
the third side and half the length; the medians of a triangle
meet at a point
HSG-SRT.C.8
Use trigonometric ratios and the Pythagorean Theorem to
solve right triangles in applied problems
COMMON CORE GEOMETRY CURRICULUM MAP
3-Congruent
Triangle
Proofs
-understand the
meaning of
corresponding parts
and how to identify
corresponding parts
of various figures
-write geometric
proofs using SSS, SAS,
ASA, AAS, and HL
-understand that if
two triangles are
congruent then
CPCTC can be applied
-understand and use
the addition,
subtraction, reflexive,
substitution, and
transitive properties
in a geometric proof
-understand
congruence in terms
of rigid motions
Dec.
Weeks
3-4
(Xmas
break
Week 4)
Homework’s
engageny.org
Unit Test
Examgen
Daily Summaries
jmap.org
Stop-Light
Checks for
Understanding
Geometry
Common Core
(Pearson)
Jan.
Weeks
1-2
problemattic.com
khanacademy.
org
deltamath.com
HSG-CO.B.7
Use the definition of congruence in terms of rigid motions to
show that two triangles are congruent if and only if
corresponding pairs of sides and corresponding pairs of
angles are congruent.
HSG-CO.B.8
Explain how the criteria for triangle congruence (ASA, SAS,
and SSS) follow from the definition of congruence in terms of
rigid motions.
COMMON CORE GEOMETRY CURRICULUM MAP
3Quadrilaterals
-understand the
properties of a
parallelogram and
use them to find
missing angles or line
segments
-understand the
properties of the
rectangle, rhombus,
and square & use
them to find missing
angles or line
segments
- use coordinate
geometry to prove
theorems about a
parallelogram,
rectangle, rhombus,
or square
Jan.
Weeks
3-4
(Regents
Week 4)
Homework’s
engageny.org
Unit Test
Examgen
Daily Summaries
jmap.org
Stop-Light
Checks for
Understanding
Geometry
Common Core
(Pearson)
problemattic.com
khanacademy.
org
deltamath.com
HSG-CO.C.11
Prove theorems about parallelograms. Theorems include:
opposite sides are congruent, opposite angles are congruent,
the diagonals of a parallelogram bisect each other, and
conversely, rectangles are parallelograms with congruent
diagonals
HSG-CO.A.3
Given a rectangle, parallelogram, trapezoid, or regular
polygon, describe the rotations and reflections that will carry
it onto itself
COMMON CORE GEOMETRY CURRICULUM MAP
4-Similarity
-understand the
difference between
congruent and similar
-use the side splitter
theorem to find
missing pieces of a
triangle
-understand when an
altitude is drawn in a
right triangle,
proportional
relationships are
formed
-given two figures
explain if they are
similar using
similarity
transformations
-use similarity criteria
for triangles to solve
problems and to
prove geometric
relationships
-use AA, SSS, and SAS
to prove triangles
similarity
Feb.
Weeks
1-4
(Winter
break
Week 3)
Homework’s
engageny.org
Unit Test
Examgen
Daily Summaries
jmap.org
Stop-Light
Checks for
Understanding
Geometry
Common Core
(Pearson)
problemattic.com
khanacademy.
org
deltamath.com
HSG-SRT.A.2
Given two figures, use the definition of similarity in terms of
similarity transformations to decide if they are similar;
explain using similarity transformations the meaning of
similarity for triangles as the equality of all corresponding
pairs of angles and the proportionality of all corresponding
sides.
HSG-SRT.A.3
Use the properties of similarity transformations to establish
the AA criterion for two triangles to be similar.
HSG-SRT.B.4
Prove theorems about triangles. Theorems include: a line
parallel to one side of a triangle divides the other two
proportionally, and conversely; the Pythagorean Theorem
proved using triangle similarity
HSG-SRT.B.5
Use congruence and similarity criteria for triangles to solve
problems and to prove relationships in geometric figures.
COMMON CORE GEOMETRY CURRICULUM MAP
COMMON CORE GEOMETRY CURRICULUM MAP
5Trigonometric
Ratios
-using the
trigonometric ratios
to find a missing side
or angle of a right
triangle
-understand that sine
and cosine are
cofunctions of each
other
-use the Law of Sines
to find a missing side
or angle of a triangle
March
Homework’s
engageny.org
Weeks
Unit Test
Examgen
Daily Summaries
jmap.org
Stop-Light
Checks for
Understanding
Geometry
Common Core
(Pearson)
1-2
problemattic.com
khanacademy.
org
deltamath.com
HSG-SRT.C.6
Understand that by similarity, side ratios in right triangles
are properties of the angles in the triangle, leading to
definitions of trigonometric ratios for acute angles.
HSG-SRT.C.7
Explain and use the relationship between the sine and cosine
of complementary angles.
HSG-SRT.C.8
Use trigonometric ratios and the Pythagorean Theorem to
solve right triangles in applied problems.
COMMON CORE GEOMETRY CURRICULUM MAP
6- Circles
-write the equation
for a circle when
given its center and
radius using the
completing the
square method
-describe the
relationships of the
central and inscribed
angles with the radii,
tangent, and chords
March
Homework’s
engageny.org
Weeks
Unit Test
Examgen
3-4
Daily Summaries
jmap.org
April
Stop-Light
Checks for
Understanding
Geometry
Common Core
(Pearson)
Weeks
1-2
problemattic.com
-prove that all circles
are similar
khanacademy.
org
-understand the
properties of angles
for a quadrilateral
inscribed in a circle
deltamath.com
-find the length of an
arc of a circle and the
area of the sector it
creates
HSG-C.A.1
Prove that all circles are similar
HSG-C.A.2
Identify and describe relationships among inscribed angles,
radii, and chords. Include the relationship between central,
inscribed, and circumscribed angles; inscribed angles on a
diameter are right angles; the radius of a circle is
perpendicular to the tangent where the radius intersects the
circle.
HSG-C.A.3
Construct the inscribed and circumscribed circles of a
triangle, and prove properties of angles for a quadrilateral
inscribed in a circle.
HSG-C.B.5
Derive using similarity the fact that the length of the arc
intercepted by an angle is proportional to the radius, and
define the radian measure of the angle as the constant of
proportionality; derive the formula for the area of a sector.
HSG-GPE.A.1
Derive the equation of a circle given center and radius using
the Pythagorean Theorem; complete the square to find the
center and radius of a circle given by an equation.
COMMON CORE GEOMETRY CURRICULUM MAP
7-Measuring
in the Plane
and Space
Regents
Review
-know and apply the
formulas for area,
circumference, and
perimeter of 2-D
figures
-know and apply the
formulas for volume
of 3-D figures
-use Cavalieri’s
principle to explain
why objects have the
same volume
-identify cross
sections of 3D
objects and identify
objects that are
created by rotating
2D objects
-answer Regents
questions involving
all the previous
taught units
April
Homework’s
engageny.org
Unit Test
Examgen
3-4
Daily Summaries
jmap.org
May
Stop-Light
Checks for
Understanding
Geometry
Common Core
(Pearson)
Weeks
Week 1
problemattic.com
HSG-GMD.A.2
Give an informal argument using Cavalieri’s principle for the
formulas for the volume of a sphere and other solid figures
HSG-GMD.A.3
Use volume formulas for cylinders, pyramids, cones, and
spheres to solve problems
HSG-GMD.A.4
Identify the shapes of two dimensional cross-sections of
three dimensional objects, and identify three dimensional
objects generated by rotations of two dimensional objects
khanacademy.
org
deltamath.com
May
Weeks
Homework’s
Unit Test
2-4
Daily Summaries
June
Stop-Light
Checks for
Understanding
Weeks
engageny.org
Examgen
jmap.org
Geometry
Common Core
(Pearson)
problemattic.com
khanacademy.
-all of the above
COMMON CORE GEOMETRY CURRICULUM MAP
1-3
deltamath.com