Geometry Curriculum Map
Table of Contents
Unit 1: Basic Concepts of Geometry
Unit 8: Right Triangles
Unit 2: Deductive Reasoning/Congruence
Unit 9: Circles
Unit 3: Parallel lines and Planes
Unit 10: Constructions and Loci
Unit 4: Congruent Triangles
Unit 11: Areas of Plane Figures
Unit 5: Quadrilaterals
Unit 12: Area of Volumes and Solids
Unit 6: Inequalities
Unit 13: Coordinate Geometry
Unit 7: Similar Polygons
Unit 14: Transformations
Unit 1: Basic Concepts of Geometry
Approximate Duration of Study: 1 week
CCS
G.CO.1,
G.MG.1,
2,3
Essential Question
How do we
communicate using
diagrams, notation,
and vocabulary about
the basic concepts of
geometry?
Concept
Experiment
with
transformati
ons in the
plane.
Apply
geometric
concepts in
modeling
situations.
Skills
Know precise
definitions of angle,
and line segment,
based on the
undefined notions of
point, line, and
distance along a
line.
Use geometric
shapes, their
measures, and their
properties to
describe
objects (e.g.,
modeling a tree
trunk or a human
torso as a cylinder)
When to Study: August/September
Assessments
Chapter 1 Test
from Text Test
Booklet
Vocabulary: Points, lines, planes, rays, angles, coplanar, collinear, intersection, equidistant
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004, Houghton
Mifflin
1. Practice Masters
2. Resource Book
3. Study Guide for Reteaching and Practice
4. Tests
Number2.com ACT prep
teachertube.com
MathBits/TeacherResources
Mcdougal littel geometry resources
H. S. web bibliography free websites
1.2
Postulates and Theorems
Terms Worksheet
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
Adding Square Roots
Dividing and Square Roots
Multiplying Square Roots
Review of Equations
Simplifying Square Roots
Classifying Angles
Naming Angles
The Angle Addition Postulate
Angle Bisectors of Triangles
Geometer's Sketchpad Resources
Chapter 2: Deductive Reasoning/Congruence
Approximate Duration of Study: 2 weeks
CCS
G.CO.6,
7,8
Essential Question
How can we use
deductive reasoning
to reason and justify
statements in order
to prove anything?
G.CO.1,
2,3,4,5
G.CL.9,
10, 11
How do we reason
logically from
hypothesis to
conclusion?
Concept
Build on rigid
motions as a
familiar
starting point
for
development
of concept of
geometric
proof
Experiment
with
transformati
ons in the
plane.
Prove
geometric
theorems.
Skills
Use geometric
descriptions of rigid
motions to transform
figures and
to predict the effect of a
given rigid motion on a
given figure; given
two figures, use the
definition of congruence
in terms of rigid motions
to decide if they are
congruent..
1. Know precise
definitions of
perpendicular line,
parallel
Line, based on the
undefined notions of
point, line, and
distance .
2. Develop definitions of
rotations, reflections,
and translations in terms
of angles, circles,
perpendicular lines,
parallel lines, and line
segments.
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.
When to Study: August/September
Assessments
Chapter 2 Test
from Text Test
Booklet
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004,
Houghton Mifflin
1. Practice Masters
2. Resource Book
3. Study Guide for Reteaching and Practice
4. Tests
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
Rigid motion and translation
Angle Pair Relationships
Vocabulary: Reflection, transformation, rotation, gliding, translation, theorem, postulate, supplementary, complementary, vertical angles
Chapter 3: Parallel lines and Planes
Approximate Duration of Study: 3 weeks
CCS
G.CO.1
Essential Question
What vocabulary is
essential to
performing
transformations?
Concept
Experiment
with
transformatio
ns in the
plane.
Skills
G.CO.9
How do we know
lines or planes are
parallel?
Prove
geometric
theorems
Prove theorems about
lines and angles.
Theorems include:;
when a transversal
crosses parallel lines,
alternate interior
angles are congruent
and corresponding
angles are congruent.
G.CO.10
How do we use
parallel lines to prove
other concepts?
Prove
geometric
theorems
Prove theorems about
triangles. Theorems
include: measures
of interior angles of a
triangle sum to 180°;
base angles of
isosceles
triangles are
congruent.
Develop definitions of
rotations, reflections,
and translations in
terms
of angles, circles,
perpendicular lines,
parallel lines, and line
segments.
When to Study: September/October
Assessments
Chapter 3 Test
from Text Test
Booklet
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004,
Houghton Mifflin
5. Practice Masters
6. Resource Book
7. Study Guide for Reteaching and Practice
8. Tests
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
Angles and Their Measures
Information in Geometric Diagrams
Parallel Lines and Transversals
Proving Lines Parallel
Angles in a Triangle
Classifying Triangles
The Exterior Angle Theorem
Vocabulary: Skew lines, parallel, same-side interior angles, corresponding angles, alternate interior angles, transversal
Chapter 4: Congruent Triangles
Approximate Duration of Study: 3 weeks
CCS
G.CO.6
Essential Question
How do we know if
two figures are
congruent?
Concept
Understand
congruence in
terms of rigid
motions.
G.CO.7
How do we know if
two triangles are
congruent?
Understand
congruence in
terms of rigid
motions.
G.CO.8
G.C0.9
G.C0.10
Understand
congruence in
terms of rigid
motions.
How can we use
congruent triangles
to prove other basic
concepts?
Prove geometric
theorems.
Prove geometric
theorems.
Skills
Use geometric
descriptions of rigid
motions to transform
figures and to predict
the effect of a given
rigid motion on a
given figure; given
two figures, use the
definition of
congruence in terms
of rigid motions to
decide if they are
congruent.
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.
Explain how the
criteria for triangle
congruence (ASA,
SAS, and
SSS) follow from the
definition of
congruence in terms
of rigid motions.
Prove theorems about
lines and angles.
Theorems include:
points on a
perpendicular bisector
of a line segment are
exactly those
equidistant from the
segment’s endpoints.
Prove theorems about
triangles. Theorems
include: base angles
of isosceles
triangles are
congruent;
When to Study: October/November
Assessments
Chapter 4 Test
from Text Test
Booklet
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004,
Houghton Mifflin
1. Practice Masters
2. Resource Book
3. Study Guide for Reteaching and Practice
4. Tests
Related polygon topics
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
ASA and AAS Congruence
Classifying Triangles
Congruence and Triangles
Isosceles and Equilateral Triangles
Right Triangle Congruence
SSS and SAS Congruence
SSS, SAS, ASA, and AAS Congruence
Medians
Build on rigid
motions as a
familiar
starting point
for
development
of concept of
geometric
proof.
G.CL.9,
10, 11
G.CO.10
Prove
geometric
theorems.
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.
Explain how the
criteria for triangle
congruence (ASA,
SAS, and SSS) follow
from the definition of
congruence in terms
of rigid motions.
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
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.
Prove theorems about
triangles. the medians
of a triangle meet at a
point.
Prove
geometric
theorems.
Use the definition of
G.CO.6,
Build on rigid
congruence in terms
7,8
motions as a
of rigid motions to
show that two
familiar
triangles are
starting point congruent if and only
if corresponding pairs
for
of sides and
development
corresponding pairs of
angles are congruent.
of concept of
.
geometric
proof
Vocabulary: Congruent, Isosceles Triangle, Vertex angle, Base Angles, Legs, Base, Hypotenuse, Median, Altitude, Perpendicular Bisector, Angle
Bisector, Convex Polygon
Chapter 5: Quadrilaterals
Approximate Duration of Study: 2 weeks
CCS
G.CO.11
G.CO.10
Essential Question
When do we call a
quadrilateral a
parallelogram?
What are the types
of parallelograms
and how do you
know which one it
is?
Concept
Skills
Parallelograms
2. Proving theorems
about parallelograms.
a. Opposite sides are
congruent, opposite
b. angles are
congruent,
c. the diagonals of a
parallelogram bisect
each other,
d. rectangles are
parallelograms with
congruent diagonals.
Prove theorems about
triangles. the segment
joining midpoints of two
sides of a triangle is
parallel to the third side
and half the length
Prove geometric
theorems.
When to Study: November
Assessments
Chapter 5 Test
from Text Test Booklet
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004,
Houghton Mifflin
9. Practice Masters
10. Resource Book
11. Study Guide for Reteaching and Practice
12. Tests
Related polygon topics
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
Angles in Quadrilaterals
Area of Triangles and Quadrilaterals
Classifying Quadrilaterals
Properties of Parallelograms
Properties of Trapezoids
Vocabulary: Quadrilaterals, Parallelograms, Rectangles, Square, Rhombus, Diagonal, Hypotenuse, Median of a Trapezoid, Trapezoid, Bases & Legs of a
Trapezoid, Base Angles, Isosceles Trapezoid
Chapter 6: Inequalities
Approximate Duration of Study: 1-2 weeks
CCS
G.SRT.5
Essential Question
How do we know
which sides or
angles are larger in
a triangle?
Concept
Triangle
Similarity
Skills
Use congruence
and similarity
criteria for
triangles to solve
problems
Prove
relationships in
geometric figures.
When to Study: November
Assessments
Chapter 6 Test
from Text Test Booklet
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004,
Houghton Mifflin
1. Practice Masters
2. Resource Book
3. Study Guide for Reteaching and Practice
4. Tests
Related polygon topics
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
Vocabulary: Inverse, contrapositive, Venn Diagram, Logically equivalent
Chapter 7: Similar Polygons
Approximate Duration of Study: 2-3 weeks
CCS
G.SRT.1
G.SRT.2
Essential Question
How do we use
dilations to
understand similarity?
Concept
Skills
Understand
similarity in
terms of
similarity
transformations
.
How do we know if
two figures are
similar?
Understand
similarity in
terms of
similarity
transformati
ons.
Verify experimentally
the properties of
dilations given by a
center and a scale
factor. The dilation of a
line segment is longer
or shorter in the ratio
given by the scale
factor.
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 pairs
of sides.
G.SRT.3
G.SRT.4
How do we use
similarity to prove
other theorems?
Understand
similarity in
terms of
similarity
transformati
ons.
Use the properties of
similarity
transformations to
establish the AA
criterion for two
triangles to be similar.
Prove
theorems
involving
similarity.
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.
Assessments
Chapter 7 Test
from Text Test
Booklet
When to Study: December
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004,
Houghton Mifflin
1. Practice Masters
2. Resource Book
3. Study Guide for Reteaching and Practice
4. Tests
Related polygon topics
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
Area of Regular Polygons
Introduction to Polygons
Polygons and Angles
Proportional Parts in Triangles and Parallel Lines
Similar Polygons
Similar Right Triangles
Similar Triangles
Solving Proportions
Using Similar Polygons
G.SRT.5
Prove
theorems
involving
similarity.
Use congruence and
similarity criteria for
triangles to solve
problems and to prove
relationships in
geometric figures.
Vocabulary: Ratio, proportion, means, extremes, similar polygons, scale factor
Chapter 8: Right Triangles
Approximate Duration of Study: 3 weeks
CCS
G.SRT.6
G.SRT.7
G.SRT.8
Essential Question
How can we use right
triangles as tools in
our everyday life?
Concept
Skills
Define
trigonometric
ratios and solve
problems
involving right
triangles.
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
Explain and use the
relationship between
the sine and cosine of
complementary
angles.
Define
trigonometric
ratios and solve
problems
involving right
triangles.
Define
trigonometric
ratios and solve
problems
involving right
triangles.
When to Study: January
Assessments
Chapter 8 Test
from Text Test
Booklet
Use trigonometric
ratios and the
Pythagorean
Theorem to solve
right triangles in
applied problems.★
Vocabulary: Geometric mean, Tangent, Sine, Cosine, Angle of Elevation, Angle of Depression
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004,
Houghton Mifflin
1. Practice Masters
2. Resource Book
3. Study Guide for Reteaching and Practice
4. Tests
Related polygon topics
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
Inequalities in One Triangle
The Triangle Inequality Theorem
Multi-Step Pythagorean Theorem Problems
Multi-Step Special Right Triangles
Special Right Triangles
The Pythagorean Theorem and Its Converse
Inverse Trigonometric Ratios
Multi-Step Trig Problems
Solving Right Triangles
Trigonometric Ratios
Trigonometry and Area
SOHCAHTOA VOLCANO
Chapter 9: Circles
Approximate Duration of Study: 3 weeks
CCS
G.CO.1
G.C.1
G.C.2
G.C.3
G.MG.1
Essential Question
How can we better
understand a circle
and its
characteristics?
How do we use
circles to understand
our environment?
Concept
Skills
Experiment with
transformations in
the plane.
Know precise
definitions circle
and distance around a
circular arc.
Prove that all circles
are similar.
Understand and
apply theorems
about
circles.
Understand and
apply theorems
about
circles.
Understand and
apply theorems
about
circles.
Apply geometric
concepts in
modeling
situations.
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.
Prove properties of
angles for a
quadrilateral inscribed
in a circle.
Use geometric
shapes, their
measures, and their
properties to
describe objects (e.g.,
modeling a tree trunk
or a human torso as a
cylinder).*
Assessments
Chapter 9 Test
from Text Test
Booklet
When to Study: February
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004,
Houghton Mifflin
13. Practice Masters
14. Resource Book
15. Study Guide for Reteaching and Practice
16. Tests
Related polygon topics
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
Arcs and Central Angles
Arcs and Chords
Circumference and Area of Circles
Inscribed Angles
Secant Angles
Secant-Tangent and Tangent-Tangent Angles
Segment Lengths in Circles
Tangents to Circles
Vocabulary: Radius, Circle, Chord, Secant, Diameter, Tangent, Point of Tangency, Sphere, Concentric Circles/Spheres, Inscribed and circumscribed
circles, arc, central angle, Inscribed angles
Chapter 10: Construction and Loci
Approximate Duration of Study: 2 weeks
CCS
G.CO.12
Essential Question
How do we apply
geometric concepts
to daily living?
Concept
Skills
Make geometric
constructions
Make formal geometric
constructions with a
variety of tools and
methods (compass and
straightedge, string,
reflective devices,
paper folding, dynamic
geometric software,
etc.). 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.
Construct an equilateral
triangle, a square, and a
regular Hexagon
inscribed in a circle.
Construct the inscribed
and circumscribed
circles of a triangle.
Construct a tangent line
from a point outside a
given circle to the circle.
G.CO.13
Make geometric
constructions.
G.C.3
Understand and
apply theorems
about circles.
Understand and
apply theorems
about circles.
G.C.4
When to Study: April
Assessments
Chapter 10 Test
from Text Test Booklet
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004,
Houghton Mifflin
1. Practice Masters
2. Resource Book
3. Study Guide for Reteaching and Practice
4. Tests
Related polygon topics
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
Line Segments and Measure (cm)
Line Segments and Measure (inches)
Coordinate Geometry and the Centroid
Altitudes of Triangles Constructions
Angle Bisector Constructions
Angle Constructions
Circle Constructions
Line Segment Constructions
Medians of Triangles Constructions
Perpendicular Bisector Constructions
Triangle Constructions
Vocabulary: Construction, compass, straight edge, concurrent lines, circumcenter, incenter, orthocenter, centroid, locus
Chapter 11: Areas of Plane Figures
Approximate Duration of Study: 3 weeks
CCS
G.MG.1
Essential Question
How do we use the
formula for area?
G.MG.2
G.C.5
Skills
Apply geometric
concepts in
modeling
situations.
Use geometric shapes,
their measures, and
their properties to
describe objects (e.g.,
modeling a tree trunk
or a human torso as a
cylinder).*
Apply concepts of
density based on area
in modeling situations
(e.g., persons per
square mile, BTUs per
cubic
foot).*
Apply geometric
methods to solve
design problems (e.g.,
designing an object or
structure to satisfy
physical constraints or
minimize cost; working
with typographic grid
systems based on
ratios).*
Give an informal
argument for the
formulas for the
circumference of a
circle, area of a circle.
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.
Apply geometric
concepts in
modeling
situations.
G.MG.3
G.GMD.1
Concept
Apply geometric
concepts in
modeling
situations.
Why do the formulas
work?
Explain volume
formulas and
use them to
solve problems.
Find arc lengths
and areas of
sectors
of circles.
Vocabulary: Apothem, Circumference, Arc length, Sectors
When to Study: February/March
Assessments
Chapter 11 Test
from Text Test
Booklet
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004,
Houghton Mifflin
17. Practice Masters
18. Resource Book
19. Study Guide for Reteaching and Practice
20. Tests
Related polygon topics
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
CHAPTER 11.1 Area Congruence
AreaofaPolygon1USnosf.notebook
Chapter 12: Area of Volumes and Solids
Approximate Duration of Study: 3 weeks
CCS
G.MG.1
G.GMD.1
G.GMD.4
Essential Question
How do we use
formulas for area and
volume?
Concept
Skills
Apply geometric
concepts in
modeling
situations.
Why do the formulas
work?
Explain volume
formulas and
use them
to solve
problems.
Use geometric shapes,
their measures, and
their properties to
describe objects (e.g.,
modeling a tree trunk
or a human torso as a
cylinder).*
Give an informal
argument for the
formulas for the
volume of a cylinder,
pyramid,
and cone.
.
Identify the shapes of
two-dimensional crosssections of three
dimensional
objects, and identify
three-dimensional
objects generated
by rotations of twodimensional objects.
Visualize the
relation between
two dimensional
and threedimensional
objects.
When to Study: March/April
Assessments
Chapter 12 Test
from Text Test
Booklet
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004,
Houghton Mifflin
1. Practice Masters
2. Resource Book
3. Study Guide for Reteaching and Practice
4. Tests
Related polygon topics
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
Identifying Solid Figures
More Nets of Solids
Similar Solids
Spheres
Surface Area of Prisms and Cylinders
Surface Area of Pyramids and Cones
Volume of Prisms and Cylinders
Volume of Pyramids and Cones
Vocabulary: Prism, Lateral face, Lateral edge, Right or Oblique Prisms, Lateral area, Total area, Pyramid, Vertex, Base, Altitude, Regular Pyramid, Slant
height, Cylinder, Cone, Sphere, Great circle, Hemisphere, Volume
Chapter 13: Coordinate Geometry
Approximate Duration of Study: 2 weeks
CCS
G.GPE.4
Essential Question
How can we use the
coordinate plane to
connect geometry to
algebra?
Concept
Skills
Use coordinates
to prove simple
geometric
theorems
algebraically.
Use coordinates to
prove simple geometric
theorems
algebraically. For
example, prove or
disprove that a figure
defined by four given
points in the coordinate
plane is a rectangle;
prove or disprove that
the point (1, 3) lies on
the circle centered at the
origin and containing
the point (0, 2).
Prove the slope criteria
for parallel and
perpendicular lines and
uses 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).
Find the point on a
directed line segment
between two given
points that partitions the
segment in a given ratio.
Use coordinates to
compute perimeters of
polygons and areas of
triangles and rectangles,
e.g., using the distance
formula.★
Derive the equation of a
circle of given center
and radius using the
Pythagorean Theorem;
complete the square to
find the center and
radius of a circle given
by an equation.
G.GPE.5
Use coordinates
to prove simple
geometric
theorems
algebraically.
G.GPE.6
Use coordinates
to prove simple
geometric
theorems
algebraically.
Use coordinates
to prove simple
geometric
theorems
algebraically.
G.GPE.7
G.GPE.1
Translate
between the
geometric
description
and the equation
for a conic
section.
When to Study: April
Assessments
Chapter 13 Test
from Text Test Booklet
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004,
Houghton Mifflin
1. Practice Masters
2. Resource Book
3. Study Guide for Reteaching and Practice
4. Tests
Related polygon topics
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
Parallel Lines in the Coordinate Plane
Points in the Coordinate Plane
The Distance Formula
The Midpoint Formula
Equations of Circles
Vocabulary: Origin, Coordinate Plane, Axes, Quadrants, Slope, Vector, Magnitude, Scalar Multiple, Linear Equation
Chapter 14: Transformations
Approximate Duration of Study: 2 weeks
CCS
G.CO.2
G.MG.3
G.MG.4
G.MG.5
G.SRT
Essential Question
What’s the relationship
between
transformations and
movement, physics, or
science?
Concept
Experiment
with
transformati
ons in the
plane.
Experiment
with
transformati
ons in the
plane.
Experiment
with
transformati
ons in the
plane.
Experiment
with
transformati
ons in the
plane.
Understan
d similarity
in terms of
Skills
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
(e.g., translation versus
horizontal stretch).
Given a rectangle,
parallelogram, trapezoid,
or regular polygon,
describe the rotations
and reflections that carry
it onto itself.
Develop definitions of
rotations, reflections,
and translations
in terms of angles,
circles, perpendicular
lines, parallel lines, and
line segments.
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
another.
Verify experimentally
the properties of
dilations given by a
center and a scale
When to Study: May
Assessments
Chapter 14 Test
from Text Test Booklet
Helpful Strategies and Resources
Geometry, Jurgensen, Brown, Jurgensen; 2004,
Houghton Mifflin
1. Practice Masters
2. Resource Book
3. Study Guide for Reteaching and Practice
4. Tests
Related polygon topics
NCTM ILLUMINATION ACTIVITIES
CUT THE KNOT RESOURCES
GRAPHING CALCULATOR
MATH ACTIVITIES - A VARIETY OF SUBJECTS
All Transformations
Reflections
Rotations
Translations
similarity
transformat
ions.
factor. A dilation takes a
line not passing through
the center of the dilation
to a parallel line, and
leaves a line passing
through the center
unchanged.
Vocabulary: Transformation, image, preimage, mapping, one-to-one mapping, isometry, congruence mapping, reflection, translations, glide reflections,
rotations, dilation, expansion, contraction, composite, symmetry, identity, inverse