Download Curriculum Map Common Core Standards Fulton Independent

Curriculum Map
Common Core Standards
Fulton Independent School District
Subject/Course:
Grade:
Revision Date:
Teacher:
Geometry
10
7-28-14
Jennifer Dillon
Timeline
(Days or
weeks/dates)
UNIT 1
Basics Of
Geometry
UNIT 2
Segments,
Angles, and
Lines
Content
ACT Quality Core
Standard(s)
Points, Lines, and Planes
C.1.a, D.1.a, D.1.e
Linear Measure
C.1.a, D.1.a
Distance and Midpoints
G.1.b
Angle Measure
C.1.a, D.1.a
Angle Relationships
D.1.b
Two-Dimensional Figures
D.2.h, F.1.a, F.1.b
Vocabulary, Theorems, and Postulates
C.1.b, C.1.c, C.1.e
Proving Segment Relationships
C.1.a
Proving Angle Relationships
C.1.a
Learning Target
I can identify and model
points, lines, and planes
I can identify intersecting lines
and planes
I can calculate segment
measures
I can find the distance between
two points
I can find the midpoint of a
segment when given two
points
I can find the missing endpoint
of a segment when given the
other endpoint and the
midpoint
I can measure and classify
angles
I can identify and use
congruent angles and the
bisector of an angle
I can identify and use special
pairs of angles
I can identify perpendicular
lines
I can identify and name
polygons
I can find perimeter,
circumference, and area of
two-dimensional figures
I can understand vocabulary
used in theorems and
postulates
I can identify and use basic
postulates involving points,
lines, and planes
I can identify and use
properties of real numbers
I can write proofs involving
segment addition
I can write proofs involving
congruence
I can write proofs involving
supplementary and
complementary angles
I can write proofs involving
congruent and right angles
Correspondence
with Textbook or
Supplemental
Material
Chapter 1 Section 1
Chapter 1 Section 2
Chapter 1 Section 3
Chapter 1 Section 4
Chapter 1 Section 5
Chapter 1 Section 6
Chapter 2 Sections 16
Chapter 2 Section 7
Chapter 2 Section 8
UNIT 3
Triangles
Parallel Lines and Transversals
C.1.d, D.1.c
Angles and Parallel Lines
C.1.d, D.1.c
Slopes of Lines
G.1.a
Equations of Lines
G.1.a
Proving Lines Parallel
C.1.d, D.1.f, G.1.a
Perpendiculars and Distance
C.1.d, D.1.f, G.1.a
Classifying Triangles
D.2.a
Angles of Triangles
C.1.e
Congruent Triangles
C.1.g, E.1.b
Proving Congruence: SSS, SAS
C.1.f, E.1.b
Proving Congruence: ASA, AAS
C.1.f, E.1.b
Congruence in Right Triangles
C.1.f, E.1.b
Isosceles and Equilateral Triangles
D.2.j
I can identify the relationship
between two lines of two
planes
I can name angle pairs formed
by parallel lines and
transversals
I can use theorems to
determine the relationship
between specific pairs of
angles
I can use algebra to find angle
measurements
I can find slopes of lines
I can use slope to identify
parallel and perpendicular
lines
I can write an equations of a
line given information about
the graph
I can solve problems by
writing equations
I can recognize angle pairs
that occur with parallel lines
I can prove that two lines are
parallel
I can find the distance between
a point and a line
I can find the distance between
two parallel lines
I can identify and classify
triangles by angle measures
and side measures
I can apply the Triangle-Sum
Theorem
I can apply the Exterior Angle
Theorem
I can name and use
corresponding parts of
congruent triangles
I can prove triangles
congruent using the definition
of congruence
Chapter 3 Section 1
I can use the SSS and SAS
Postulates to test for triangle
congruence
I can use the ASA and AAS
Postulates to test for triangle
congruence
I can prove right triangle
congruence using LL, HA,
LA, and HL congruence
theorems
I can use properties of
isosceles and equilateral
triangles
Chapter 4 Section4
Chapter 3 Section 2
Chapter 3 Section 3
Chapter 3 Section 4
Chapter 3 Section 5
Chapter 3 Section 6
Chapter 4 Section 1
Chapter 4 Section 2
Chapter 4 Section 3
Chapter 4 Section 5
Chapter 4 Section 5
Extended Lesson
Chapter 4 Section 6
UNIT 4
Quadrilaterals
Congruence Transformations
E.1.b, E.1.e
Triangles and Coordinate Proof
G.1.c
**Bisectors of Triangles
D.2.b
**Medians and Altitudes of Triangles
D.2.b, (D.2.d)
The Triangle Inequality
D.2.c
Inequalities in Two Triangles
E.1.c
Angles of Polygons
D.2.i
Parallelograms
C.1.i, D.2.g, G.1.c
Tests for Parallelograms
C.1.i, D.2.g
Rectangles
C.1.i, D.2.g, G.1.c
Rhombi and Squares
C.1.i, D.2.g, G.1.c
I can identify congruence
transformations
I can verify congruence of
figures after a congruence
transformation
I can position and label
triangles for use in coordinate
proofs
I can use coordinate geometry
to write proofs
I can identify and use
perpendicular bisectors in
triangles
I can identify and use angle
bisectors in triangles
I can identify and use medians
and altitudes in triangles
I can use the Triangle
Inequality Theorem to identify
possible triangles
I can prove triangle
relationships using the
Triangle Inequality Theorem
I can apply the Hinge
Theorem or its converse to
make comparisons in two
triangles
I can prove triangle
relationships using the Hinge
Theorem or its converse
I can find and use the sum of
the measures of the interior
angles of a polygon
I can find and use the sum of
the measures of the exterior
angles of a polygon
I can recognize and apply
properties of the sides and
angles of parallelograms
I can recognize and apply the
properties of the diagonals of
parallelograms
Chapter 4 Section 7
I can recognize conditions that
ensure a quadrilateral is a
parallelogram
I can prove that a set of points
form a parallelogram in the
coordinate plane
I can recognize and apply
properties of rectangles
I can determine whether
parallelograms are rectangles
I can recognize and apply
properties of rhombi and
squares
I can determine whether
quadrilaterals are rectangles,
rhombi, or squares
Chapter 6 Section 3
Chapter 4 Section 8
Chapter 5 Section 1
Chapter 5 Section 2
Chapter 5 Section 5
Chapter 6 Section 1
Chapter 6 Section 2
Chapter 6 Section 4
Chapter 6 Section 5
Kites and Trapezoids
UNIT 5
Similarity
UNIT 6
Triangle
Trigonometry
UNIT 7
Transformations
C.1.i, D.2.g, G.1.c
Ratios and Proportions
Similar Polygons
E.1.c, E.1.d
Similar Triangles
C.1.h, E.1.c
Parallel Lines and Proportional Parts
D.1.f
Parts of Similar Triangles
C.1.h
Geometric Mean
E.1.g
The Pythagorean Theorem and its
Convers
Special Right Triangles
D.2.e, D.2.f
Trigonometry
H.1.b, H.1.c
Angles of Elevation and Depression
E.1.c, H.1.c
The Law of Sines and Cosines
(Pre-Alg 2)
Reflections
G.1.e
H.1.a
I can recognize and apply
properties of trapezoids,
including the medians of
trapezoids
I can recognize and apply the
properties of kites
I can write ratios
I can write and solve
proportions
I can use proportions to
identify similar polygons
I can solve problems using the
properties of similar polygons
I can identify similar triangles
using the AA Similarity
Postulate and the SSS and
SAS Similarity Theorems
I can use similar triangles to
solve problems
I can use proportional parts
within triangles
I can use proportional parts
with parallel lines
I can recognize and use
proportional relationships of
corresponding segments of
similar triangles
I can use the Triangle Angle
Bisector Theorem
I can find the geometric mean
between two numbers
I can solve problems involving
relationships between parts of
a right triangle and the altitude
to its hypotenuse
I can use the Pythagorean
Theorem and its converse
I can use the properties of 45°45°-90° triangles
I can use the properties of 30°60°-90° triangles
I can find trigonometric ratios
using right triangles
I can use trigonometric ratios
to find angle measures in right
triangles
I can solve problems involving
angles of elevation and
depression
I can use angles of elevation
and depression to find the
distance between two objects
I can use the Law of Sines to
solve triangles
I can use the Law of Cosines
to solve triangles
I can draw reflections
I can draw reflections in the
coordinate plane
Chapter 6 Section 6
Chapter 7 Section 1
Chapter 7 Section 2
Chapter 7 Section 3
Chapter 7 Section 4
Chapter 7 Section 5
Chapter 8 Section 1
Chapter 8 Section 2
Chapter 8 Section 3
Chapter 8 Section 4
Chapter 8 Section 5
Chapter 8 Section 6
Chapter 9 Section 1
UNIT 8
Circles
Translations
G.1.e
Rotations
G.1.e
Compositions of Transformations
E.1.e, G.1.e
Symmetry
E.1.a
Dilations
G.1.e
Circles and Circumference
D.3.a, D.3.d, F.1.c,
F.1.e
Measuring Angles and Arcs
D.3.b, D.3.c, F.1.c
Arcs and Chords
D.3.a, D.3.b
Inscribed Angles
D.3.b, D.3.c, D.3.d
Tangents
D.3.a, D.3.d
Secants, Tangents, and Angle
Measures
D.3.a, D.3.c
Special Segments in a Circle
D.3.c
Equations of Circles
G.1.d
I can draw translations
I can draw translations in the
coordinate plane
I can draw rotations
I can draw rotations in the
coordinate plane
I can draw glide reflections
and other compositions of
isometries in the coordinate
plane
I can draw compositions of
reflections in parallel and
intersecting lines
I can identify line and
rotational symmetries in twodimensional figures
I can draw dilations
I can draw dilations in the
coordinate plane
I can identify and use parts of
circles
I can solve problems involving
the circumference of a circle
I can identify central angles,
major arcs, minor arcs, and
semicircles, and find their
measures
I can find arc length
I can recognize and use
relationships between arcs,
chords, and diameters
I can find measures of
inscribed angles
I can find measures of angles
of inscribed polygons
I can use properties of
tangents
I can solve problems involving
circumscribed polygons
I can find measures of angles
formed by lines intersecting
on or inside a circle
I can find the measure of
angles formed by lines
intersecting outside the circle
Chapter 9 Section 2
I can find measures of
segments that intersect in the
interior of a circle
I can find measures of
segments that intersect in the
exterior of a circle
I can write the equation of a
circle
I can graph a circle in the
coordinate plane
Chapter 10 Section 7
Chapter 9 Section 3
Chapter 9 Section 4
Chapter 9 Section 5
Chapter 9 Section 6
Chapter 10 Section 1
Chapter 10 Section 2
Chapter 10 Section 3
Chapter 10 Section 4
Chapter 10 Section 5
Chapter 10 Section 6
Chapter 10 Section 8
UNIT 9
Area
UNIT 10
Volume and
Surface Area
Areas of Parallelograms and Triangles
F.1.a, F.1.b
I can find perimeters and areas
of parallelograms
I can find perimeters and areas
of triangles
I can find areas of trapezoids
I can find areas of rhombi and
kites
I can find areas of circles
I can find areas of sectors of
circles
I can find areas of regular
polygons
I can find areas of composite
figures
I can find areas of similar
figures by using scale factors
I can find scale factors or
missing measures given the
areas of two similar figures
I can identify and name threedimensional figures
I can find surface area and
volume
I can draw isometric views of
three-dimensional objects
I can investigate cross sections
of three-dimensional objects
I can find lateral areas and
surface areas of prisms
I can find lateral areas and
surface areas of cylinders
I can find lateral areas and
surface areas of pyramids
I can find lateral areas and
surface areas of cones
I can find volumes of prisms
and cylinders
Areas of Trapezoids, Rhombi, and
Kites
F.1.a, F.1.b
Areas of Circles and Sectors
F.1.e
Areas of Regular Polygons and
Composite Figures
F.1.a, F.1.b
Areas of Similar Figures
E.1.d
Three-Dimensional Figures
D.4.a
Representations of Three-Dimensional
Figures
D.4.b,
Surface Areas of Prisms and Cylinders
F.2.a
Surface Areas of Pyramids and Cones
F.2.a
Volumes of Prisms and Cylinders
F.2.b
Volumes of Pyramids and Cones
F.2.b
I can find volumes of
pyramids and cones
Surface Areas and Volumes of Spheres
F.2.c
Congruent and Similar Solids
E.1.h
**Geometric Probability
F.1.c
I can find the surface areas of
spheres
I can find the volume of
spheres
I can identify congruent or
similar solids
I can use properties of similar
solids
I can find probabilities by
using length
I can find probabilities by
using area
Chapter 11 Section 1
Chapter 11 Section 2
Chapter 11 Section 3
Chapter 11 Section 4
Chapter 11 Section 5
Chapter 1 Section 7
Chapter 12 Section 1
Chapter 12 Section 2
Chapter 12 Section 3
Chapter 12 Section 4
– Supplemental
material needed for
solving volume
problems via cross
sections of solids
Chapter 12 Section 5
– Supplemental
material needed for
solving volume
problems via cross
sections of solids
Chapter 12 Section 6
Chapter 12 Section 8
Chapter 13 Section 3