Portales High School Geometry
Common Core State Standards for Mathematics
1ST NINE WEEKS
ESSENTIAL QUESTIONS FOR 1ST NINE WEEKS: How can you represent a three-dimensional figure with a two-dimensional drawing? What re the building blocks of Geometry? How can you describe the attributes
of a segment or angle? How can you make a conjecture and prove that it is true? How do you prove that two lines are parallel? What is the sum of the measures of the angles of a triangle? How do you write an
equation of a line in the coordinate plane?
CONTENT
CCSS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
KNOWLEDGE/SKILLS
Experiment
Creating nets and
Net, Isometric
http://illuminations.nctm.org/ActivityDetail.aspx?ID=70 This website changes from a solid to a net by folding or unfolding to show how solids come together. It
with
drawings of threeDrawing,
also allows for color-coding faces, edges, and vertices. It counts the faces, edges, and vertices as the parts are highlighted.
transformations dimensional figures.
Orthographic
in the plane
Understanding the
drawing, Point
G.CO
basic terms and
line plane,
1. Know
postulates of geometry
collinear points,
precise
Finding and comparing
Coplanar,
definitions
lengths of segments
space,
based on
and measures of
segment, ray,
undefined
angles.
opposite rays,
notions, (ex.
Identifying special
postulate,
Point, line,
angle pairs and using
axiom,
distance…. )
their relationships to
intersection,
find angle measures.
angle, sides of
Making basic
an angle,
Constructions using a
vertex of an
straight edge and a
angle, measure
compass.
of an angle,
Identifying
acute angle,
relationships between
fight angle,
figures in space.
obtuse angle,
Identifying angles
straight angle,
formed by two lines
congruent
and a transversal.
angles,
adjacent
angles, vertical
angles,
complementary
and
supplementary
angles, linear
pair, angle
bisector,
Parallel lines,
skew lines,
parallel planes,
transversal,
alternate
interior angles,
same-side
REVISED:
1
Portales High School Geometry
Common Core State Standards for Mathematics
interior angles,
corresponding
angles,
alternate
exterior angles
Translate
between
Geometric
description and
the equation
for a conic
section.
G.GPE
6. Find the
point on a
directed line
segment
between two
given points.
Make
Geometric
Constructions
G.CO
12. Make
formal
geometric
constructions
with a variety
of tools and
methods.
13. Construct
an equilateral
triangle.
Use
Coordinates to
prove simple
Geometric
theorems
algebraically
G.GPE
6. Find the
point on a
directed line
segment
between two
REVISED:
Finding and comparing
lengths of segments
and measures of
angles
Coordinate,
distance,
congruent
segment,
midpoint
segment
bisector
http://www.mathsisfun.com/geometry/construct-anglebisect.html This website demonstrates the procedure for various constructions, including: bisecting a line,
bisecting an angles, parallel lines, perpendicular lines, circles, etc.
http://app.discoveryeducation.com/player/?assetGuid=53795d9b-2ebd-41aa-b0871cad8e9c92fa&fromMyDe=0&isPrinterFriendly=0&provider=&isLessonFromHealth=0&productcode=US&isAssigned=false&includeHeader=YES&homeworkGuid=
This video relates points, lines, planes, space, rays, etc. including midpoints, segments lengths,
http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/2-The%20Angle%20Addition%20Postulate.pdf This is a worksheet that you can also use for angle addition postulate.
Making basic
Constructions using a
straight edge and a
compass.
Constructing parallel
and perpendicular
lines.
Finding the midpoint of
a segment and the
distance between two
points in the coordinate
plane.
Construction,
straight edge,
compass,
perpendicular
lines,
perpendicular
bisector.
http://www.mathsisfun.com/geometry/construct-anglebisect.html This website demonstrates the procedure for various constructions, including: bisecting a line,
bisecting an angles, parallel lines, perpendicular lines, circles, etc.
http://www.mathplanet.com/education/algebra-1/radical-expressions/the-distance-and-midpoint-formulas This website has a video of breaking down and
describing midpoint.
http://www.glencoe.com/sec/math/prealg/prealg03/study_guide/pdfs/prealg_pssg_G077.pdf This is an alternative worksheet for midpoint.
2
Portales High School Geometry
given points
that partitions
the segment in
a given ratio.
Reason
Quantitatively
and use units
to solve
problems N.Q1
1. Use units as
a way to
understand
problems and
to guide the
solution of
multi step
problems;
Choose and
interpret unit
consistently in
formulas.
Prove
geometric
theorems
G.C.O.
9. Prove
theorems
about lines and
angles.
10. Prove
theorems
about triangles
11. Prove
theorems
about
parallelograms
REVISED:
Common Core State Standards for Mathematics
Finding the perimeter,
area, and
circumference of basic
shapes
Perimeter, area
Using inductive
reasoning to make
conjectures.
Recognizing
conditional statements
and their parts, also
writing converses,
inverses, and contra
positives of
conditionals.
Writing biconditionals
and recognizing good
definitions.
Using the law of
detachment and the
law of syllogism.
Proving theorems
about parallel lines.
Using properties of
parallel lines to find
angle measures.
Determining whether
two lines are parallel.
Connecting reasoning
in algebra and
geometry.
Inductive
reasoning,
conjecture,
counter
example,
conditional,
hypothesis,
conclusion,
truth value,
negation,
converse,
inverse, contra
positive,
equivalent
statements,
biconditional,
reflexive
property,
symmetric
property,
transitive
property, proof,
two column
proof, theorem,
paragraph
proof, flow
3
Portales High School Geometry
Apply
Geometric
Concepts in
modeling
situations.
G.MG
3. Apply
geometric
methods to
solve designed
problems.
Use
coordinates to
prove simple
geometric
theorems
algebraically
G.GPE
5. Prove the
slope criteria
for parallel and
perpendicular
lines
REVISED:
Common Core State Standards for Mathematics
Proving and applying
theorems about
angles.
Using parallel lines to
prove a theorem about
triangles, finding
measures of angles of
triangles.
Relating parallel and
perpendicular lines.
proof, auxiliary
line, exterior
angle of a
polygon,
remote interior
angles
Graphing and writing
linear equations.
Relating slope to
parallel and
perpendicular lines.
Slope, Slopeintercept form,
point-slope
form,
4
Portales High School Geometry
Common Core State Standards for Mathematics
2ND
ESSENTIAL QUESTIONS FOR
CCSS
REVISED:
2ND
NINE WEEKS
NINE WEEKS:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
5
Portales High School Geometry
Common Core State Standards for Mathematics
3RD
ESSENTIAL QUESTIONS FOR
CCSS
REVISED:
3RD
NINE WEEKS
NINE WEEKS:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
6
Portales High School Geometry
Common Core State Standards for Mathematics
4TH
ESSENTIAL QUESTIONS FOR
CCSS
REVISED:
4TH
NINE WEEKS
NINE WEEKS:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
7
James Elementary School – 2nd Grade
Common Core State Standards for Mathematics
1ST NINE WEEKS
ESSENTIAL QUESTIONS FOR 1ST NINE WEEKS:
CCSS
REVISED:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
8
James Elementary School – 2nd Grade
Common Core State Standards for Mathematics
2ND NINE WEEKS
ESSENTIAL QUESTIONS FOR 2ND NINE WEEKS:
CCSS
REVISED:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
9
James Elementary School – 2nd Grade
Common Core State Standards for Mathematics
3RD NINE WEEKS
ESSENTIAL QUESTIONS FOR 3RD NINE WEEKS:
CCSS
REVISED:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
10
James Elementary School – 2nd Grade
Common Core State Standards for Mathematics
4TH NINE WEEKS
ESSENTIAL QUESTIONS FOR 4TH NINE WEEKS:
CCSS
REVISED:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
11