Instructional Map
2nd Nine Weeks
TN State Standards
Essential Understandings
Geometry
Content & Tasks
CLIP Connections
Unit 2 (continued) Lines, Angles, and Triangles
Properties of Triangles
(Allow 10 days for instruction, review, and assessment)
G-CO Congruence
Make geometric constructions
G-CO.D.12 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.
Lesson 4-1 - Classifying Triangles

Identify and classify triangles by
angle measure

Identify and classify triangles by
side measure
Lesson 4-1 & 4-2 pp.235 - 252
Triangle Angle Sum
Geometry Lab: Angles of Triangles p. 243
Pair the categories of classifications of sides
of triangles with the categories of
classifications of angles to determine which
combinations can exist and which ones
cannot exist. Explain why certain
combinations cannot exist. (Example, can a
right equilateral triangle exist?)
Lesson 4-2 -Angles of Triangles

Apply the Triangle Angle Sum
Theorem

Apply the Exterior Angle Sum
Theorem
H.O.T. Problems
pg. 241, #56 Error analysis
Prove geometric theorems
G-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 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.
G.MG Modeling with geometry
Apply geometric concepts in modeling
concepts
G.MG.A.1 Use geometric shapes, their
measures and their properties to describe
objects (e.g. modeling a tree trunk or a
human torso as a cylinder)
Lesson 6.1 Angles of Polygons
G-CO Congruence
Prove geometric theorems
G-CO.C.10 Prove theorems about triangles.
Lesson 4-6 Isosceles and Equilateral
Triangles
Subject to revision

Find and use the sum of the
measures of the interior angles of a
polygon

Find and use the sum of the
measures of the exterior angles of a
polygon

Lesson 6.1 pp. 389 - 398
Angle Sums
Spreadsheet Lab p. 398
H.O.T. Problems
p. 396 #52 Open ended - Sketch a polygon
and find the sum of its interior angles. How
many sides does a polygon with twice this
interior angles sum have. Justify your answer
Lesson 4-6 pp. 283 -291
Isosceles Triangle Task
H.O.T. Problems
p. 290 #45 Challenge - proof
Use properties of isosceles
Shelby County Schools
2015/2016
1 of 9
Instructional Map
2nd Nine Weeks
TN State Standards
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.
Essential Understandings
Geometry
Content & Tasks
CLIP Connections
Lesson 8-2 pp. 541 - 551
Ratios, Proportions in Similar Figures See
instructional resources page.
Pythagorean Triples
Geometry Lab - The Pythagorean Theorem p.
540
Research screen aspect ratio as it relates to
televisions. Explain in detail what this means.
triangles.

Use properties of equilateral
triangles.
Make geometric constructions
G-CO.D.12 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.
G.SRT Similarity, Right Triangles, and
Trigonometry
Prove theorems using similarity
G.SRT.B.5. Use congruence and similarity
criteria for triangles to solve problems and to
prove relationships in geometric figures.
G.SRT Similarity, Right Triangles, and
Trigonometry
Define trigonometric ratios and solve
problems involving right triangles
G.SRT.C.8 Use trigonometric ratios and the
Pythagorean theorem to solve right triangles in
applied problems.
Lesson 8-2 Pythagorean Theorem and its
Converse

Use the Pythagorean Theorem
- stress common triples

Use the Converse of the
Pythagorean Theorem
Journal Question: Why would a student want
to know Pythagorean Triples if he/she already
knows Pythagorean Theorem?
G.MG Modeling with geometry
Apply geometric concepts in modeling
Subject to revision
Shelby County Schools
2015/2016
2 of 9
Instructional Map
2nd Nine Weeks
TN State Standards
Essential Understandings
Geometry
Content & Tasks
CLIP Connections
concepts
G.MG.A.3 Apply geometric methods to solve
problems (e.g. designing an object or structure
to satisfy physical constraints or minimize cost,
working with typographic grid systems based
on ratios)
G-CO Congruence
Prove geometric theorems
G-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 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.
G.MG Modeling with geometry
Apply geometric concepts in modeling
concepts
G.MG.A.3 Apply geometric methods to solve
problems (e.g. designing an object or structure
to satisfy physical constraints or minimize cost,
working with typographic grid systems based
on ratios)
G-CO Congruence
Prove geometric theorems
G-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 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.
Subject to revision
Lesson 5-3 Inequalities in one triangle

Recognize and apply properties
of inequalities to the measures
of the angles of a triangle.

Recognize and apply properties
of inequalities to the
relationships between the
angles and sides of a triangle.
Lesson 5-3 pp. 342 - 349
Lesson 5-5 pp. 359 - 366
H.O.T. Problems
p. 348 Writing in Math, #43 & 48
Graphing Technology Lab - The Triangle
Inequality p. 359
Triangle Inequality Task
Triangle Inequalities
H.O.T. Problems
p. 365 Writing in Math, #45 & 48
Lesson 5-6 pp. 367 - 376
Inequalities in Two Triangles Activity
Compare and contrast the Hinge Theorem to
the SAS Postulate for Triangle Conguence.
Lesson 5-5 The Triangle Inequality

Use the Triangle Inequality
Theorem to identify possible
triangles

Prove triangle relationships
using the triangle inequality
theorem
Lesson 5-6 Inequalities in Two Triangles

Apply the Hinge Theorem or its
converse to make comparisons in
two triangles

Prove triangle relationships using the
hinge theorem or its converse
Shelby County Schools
2015/2016
3 of 9
Instructional Map
2nd Nine Weeks
TN State Standards
Essential Understandings
Geometry
Content & Tasks
CLIP Connections
Unit 2 (continued) - Lines, Angles, and Triangles
Special Segments in Triangles
(7 days)
G-CO Congruence
Prove geometric theorems
G-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 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.
Lesson 5-1 Bisectors of Triangles

Identify and use perpendicular
bisectors in triangles

Identify and use angle bisectors
in triangles
Lesson 5-1 pp. 321 - 331
Centers of Triangles
Centers of Triangles Solutions
Hospital Locator
Dividing a Town into Pizza Delivery Regions
Geometry Lab - Constructing Bisectors p. 321
Compare and contrast the perpendicular
bisectors and angle bisectors of a triangle. Be
sure to include their points of concurrency.
Lesson 5-2 pp. 332 - 341
Medians of Triangles
Geometry Lab - Constructing Medians and
Altitudes p. 332
The Centroid of a Triangle
Balancing Act
Exploring the Centroid of a Triangle
Summarize the special segments of a triangle
including their names, properties and
diagrams into a chart or booklet.
Why are the points of concurrency called
incenter for angle bisectors of triangles and
circumcenter for the perpendicular bisectors?
G.MG Modeling with geometry
Apply geometric concepts in modeling
concepts
G.MG.A.3 Apply geometric methods to solve
problems (e.g. designing an object or structure
to satisfy physical constraints or minimize cost,
working with typographic grid systems based
on ratios
G-CO Congruence
Prove geometric theorems
G-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 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.
Lesson 5-2 Medians and Altitudes of
Triangles

Identify and use medians in
triangles

Identify and use altitudes in
triangles
G.MG Modeling with geometry
Apply geometric concepts in modeling
concepts
Subject to revision
Shelby County Schools
2015/2016
4 of 9
Instructional Map
2nd Nine Weeks
TN State Standards
Essential Understandings
Geometry
Content & Tasks
CLIP Connections
G.MG.A.3 Apply geometric methods to solve
problems (e.g. designing an object or structure
to satisfy physical constraints or minimize cost,
working with typographic grid systems based
on ratios
G.SRT Similarity, Right Triangles, and
Trigonometry
Prove theorems using similarity
G.SRT.B.4 Prove theorems about triangles.
G.SRT.B.5. Use congruence and similarity
criteria for triangles to solve problems and to
prove relationships in geometric figures.
Lesson 7-4 Parallel Lines and
Proportional Parts (mid-segments of
triangles)

Use proportional parts within
triangles

Use proportional parts with
parallel lines
Lesson 7.4 pp. 484 -493
Mid-segments in Triangles
Midpoint Madness See Mathematics,
Instructional Resources, Geometry
How Should We Divide This See
Mathematics, Instructional Resources,
Geometry, Task Arc: Investigating Coordinate
Geometry
Draw all of the mid-segments of one triangle.
Explain what you see. Give as much detail
as possible.
Research and report on Sierpinski's triangle
Unit 3 - Quadrilaterals and Coordinate Proof
Properties of Quadrilaterals
Coordinate Proof Using Slope and Distance
(9 days)
G-CO Congruence
Prove geometric theorems
G.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.
Lesson 6-2 Parallelograms

Recognize and apply properties
of the sides and angles of
parallelograms

Recognize and apply properties
of parallelograms
Lesson 6-2 pp. 399 - 408
Properties of Parallelograms
Expanding Triangles See Mathematics,
Instructional Resources, Geometry
Parallelograms
H.O.T. Problems
p. 406 # 43 Open ended - Provide a
counterexample to show that parallelograms
are not always congruent if their
corresponding sides are congruent.
G.GPE Expressing Geometric Properties with
Equations
Use coordinates to prove simple geometric
theorems algebraically
G.GPE.B.4 Use coordinates to prove simple
geometric theorems algebraically. For
example, prove or disprove that a figure
defined by four given points in the coordinate
Subject to revision
Shelby County Schools
2015/2016
5 of 9
Instructional Map
2nd Nine Weeks
TN State Standards
Essential Understandings
Geometry
Content & Tasks
CLIP Connections
plane is a rectangle.
G-CO Congruence
Prove geometric theorems
G.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.
Lesson 6-3 Tests for Parallelograms

Recognize the conditions that
ensure a quadrilateral is a
parallelogram

Prove that a set of points forms
a parallelogram in the
coordinate plane
Lesson 6-3 pp. 409 - 417
Graphing Technology Lab - Parallelograms p.
408
Whitebeard's Treasure Task
Coordinate Proof
Park City
Similarity, Congruence & Proofs
Journal Question: Are two parallelograms
congruent if they both have four congruent
angles? Justify your answer.
Lesson 6-4 pp.419 - 425
Lesson 6-5 pp. 426 - 434
Getting in Shape
Lucio's Ride
Reviewing Assumptions 1
Reviewing Assumptions 2
G.GPE Expressing Geometric Properties with
Equations
Use coordinates to prove simple geometric
theorems algebraically
G.GPE.B.4 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.
G-CO Congruence
Prove geometric theorems
G.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.
G.GPE Expressing Geometric Properties with
Equations
Use coordinates to prove simple geometric
theorems algebraically
G.GPE.B.4 Use coordinates to prove simple
Subject to revision
Lesson 6-4 Rectangles

Recognize and use the
properties of rectangles

Determine whether
parallelograms are rectangles
Lesson 6-5 Rhombi and Squares

Recognize and apply the
properties of rhombi and
squares

Determine whether a
quadrilaterals are rectangles
rhombi or squares
Shelby County Schools
2015/2016
6 of 9
Instructional Map
2nd Nine Weeks
TN State Standards
Essential Understandings
Geometry
Content & Tasks
CLIP Connections
geometric theorems algebraically. For
example, prove or disprove that a figure
defined by four given points in the coordinate
plane is a rectangle.
G.GPE.B.4
G.MG Modeling with geometry
Apply geometric concepts in modeling
concepts
G.MG.A.3 Apply geometric methods to solve
problems (e.g. designing an object or structure
to satisfy physical constraints or minimize cost,
working with typographic grid systems based
on ratios
Lesson 6-6 Trapezoids and Kites

Apply properties of trapezoids

Apply properties of kites
Lesson 6-6 pp. 435 - 446
Go Fly a Kite See Mathematics, Instructional
Resources, Geometry, Task Arc: Investigating
Coordinate Geometry
Use a Venn Diagram to show the relationship
of the quadrilaterals you study in Chapter 6
Unit 4 Similarity
Similarity and Transformations
(10 days)
G.MG Modeling with geometry
Apply geometric concepts in modeling
concepts
G.MG.A.3 Apply geometric methods to solve
problems (e.g. designing an object or structure
to satisfy physical constraints or minimize cost,
working with typographic grid systems based
on ratios
Lesson 7-1 Ratios and Proportions
G.SRT Similarity, Right Triangles, and
Trigonometry
Understand similarity in terms of similarity
transformations
G.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
Lesson 7-2 Similar Polygons
Subject to revision

Write ratios

Write and solve proportions

Use proportions to Identify
similar polygons

Solve problems using the
properties of similar polygons
Lesson-7-1 pp. 457 - 464
Graphing Technology Lab - Fibonacci
Sequence and Ratios p. 464
Research and Report- The Fibonacci
Sequence and the Golden Ratio - what are
they, why are they important, and how are
they related.
Lesson 7-2 pp. 465 - 473
What are Similarity Transformations and Why
do We Need Them?
H.O.T. Problems
p. 472, # 51 - 55
Shelby County Schools
2015/2016
7 of 9
Instructional Map
2nd Nine Weeks
TN State Standards
Essential Understandings
Geometry
Content & Tasks
CLIP Connections
and the proportionality of all corresponding
pairs of sides.
G.SRT Similarity, Right Triangles, and
Trigonometry
Understand similarity in terms of similarity
transformations
G.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
pairs of sides.
Lesson 7-6 Similarity Transformations

Identify similarity
transformations

Verify similarity after a similarity
transformation
Lesson 7-6 pp. 505 -511
Scale Drawings by Ratio Method
Scale Drawings by the Parallel Method
Dilations
Do Dilations Map Segments?
Explain how you can use scale factor to
determine whether a transformation is an
enlargement, a reduction, or a congruence
transformation.
Lesson 7-7 pp. 512 - 517
Scale Drawings
H.O.T. Problems
p. 516, # 21- 25
Prove theorems using similarity
G.SRT.B.5. Use congruence and similarity
criteria for triangles to solve problems and to
prove relationships in geometric figures.
G.MG Modeling with geometry
Apply geometric concepts in modeling
concepts
G.MG.A.3 Apply geometric methods to solve
problems (e.g. designing an object or structure
to satisfy physical constraints or minimize cost,
working with typographic grid systems based
on ratios
Subject to revision
Lesson 7-7 Scale Drawings and Scale
Models

Interpret scale models

Use scale factors to solve
problems
Shelby County Schools
2015/2016
8 of 9
RESOURCE TOOLBOX
Textbook Resources
ConnectED Site - Textbook and Resources
Glencoe Video Lessons
Hotmath - solutions to odd problems
Comprehensive Geometry Help:
Online Math Learning (Geometry)
I LOVE MATH
NCTM Illuminations
New Jersey Center for Teaching & Learning (Geometry)
Calculator
Finding Your Way Around TI-83+ & TI-84+ (mathbits.com)
Texas Instruments Calculator Activity Exchange
Texas Instruments Math Nspired
STEM Resources
Casio Education for Teachers
*Graphing Calculator Note: TI tutorials are available through
Atomic Learning and also at the following link: Math Bits graphing calculator steps Some activities require calculator
programs and/or applications.
Use the following link to access FREE software for your
MAC. This will enable your computer and TI Calculator to
communicate: Free TI calculator downloads
Subject to revision
CCSS
Common Core Standards - Mathematics
Common Core Standards - Mathematics Appendix A TN Core
CCSS Flip Book with Examples of each Standard
Geometry Model Curriculum
http://www.ccsstoolbox.org/
http://insidemathematics.org/index.php/high-school-geometry
http://www.azed.gov/azcommoncore/mathstandards/hsmath/
http://learnzillion.com/common_core/math/hs
http://www.livebinders.com/play/play/454480
https://www.livebinders.com/play/play?id=464831
http://www.livebinders.com/play/play?id=571735
North Carolina – Unpacking Common Core
http://thegeometryteacher.wordpress.com/the-geometry-course/
http://mathtermind.blogspot.com/2012/07/common-coregeometry.html
Utah Electronic School - Geometry
Ohio Common Core Resources
Chicago Public Schools Framework and Tasks
Mathy McMatherson Blog - Geometry in Common Core
Videos
Math TV Videos
The Teaching Channel
Teacher Tube
Khan Academy Videos (Geometry)
Interactive Manipulatives
GeoGebra – Free software for dynamic math and science
learning
NCTM Core Math Tools
http://www.keycurriculum.com/products/sketchpad (Not free) Any
activity using Geometer’s Sketchpad can also be done with any
software that allows construction of figures and measurement,
such as Cabri, Cabri Jr. on the TI-83 or 84 Plus,
TI-92 Plus, or TI-Nspire
CLIP Resources
Glencoe Reading & Writing in the Mathematics Classroom
Graphic Organizers (9-12) (teachervision.com)
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2015/2016
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