Instructional Map
3rd Nine Weeks
TN State Standards
Essential Understandings
Geometry
Content & Tasks
CLIP Connections
Unit 4 Similarity - Using Similar Triangles
( 8 days)
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 7.3 Similar Triangles
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 (midsegments was previously covered in
unit 2)
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 8-1 Geometric Mean
Subject to revision

Identify similar triangles using
the AA Similarity Postulate and
the SSS and SAS similarity
Theorems

Use similar triangles to solve
problems

Use proportional parts within
triangles

Use proportional parts with parallel
lines

Find the geometric mean between
two numbers

Solve problems involving
relationships between parts of a
right triangle and the altitude to
its hypotenuse
Lesson 7.3 pp. 474-483
Similarity
AA Similarity
SSS & SAS Similarity
Applying Similar Triangles
Contrast and compare the triangle
congruence theorems with the triangle
similarity theorems.
Lesson 7-4 pp. 484 - 492
Triangle Side Splitter Theorem
Dividing a Line Segment into Equal Parts
Parallel Lines and Proportional Segments See
Mathematics, Instructional Resources,
Geometry, Task Arc: Investigating Coordinate
Geometry
Partitioning See Mathematics, Instructional
Resources, Geometry, Task Arc: Investigating
Coordinate Geometry
However You Want to Slice It
Comparing Shapes tncore.org/
Use multiple representations to explore angle
bisectors and proportions. See p. 492, #47
Lesson 8-1 pp. 531 - 539
Special Relationships Within Right Triangles
Prove the Pythagorean Theorem Using
Similarity
What is an arithmetic mean and a geometric
mean of two numbers? Are they ever equal?
Justify your answer.
Shelby County Schools
2015/2016
1 of 6
Instructional Map
3rd Nine Weeks
TN State Standards
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.
Geometry
Essential Understandings
Content & Tasks
Lesson 7.5 Parts of Similar Triangles
Lesson 7-5 pp. 495 -503
Triangle Angle Bisector Theorem

Recognize and use proportional
relationships of corresponding
angle bisectors, altitudes, and
medians of similar triangles

Use the Triangle Angle Bisector
Theorem
CLIP Connections
Find a counterexample: If the measure of an
altitude and side of a triangle are proportional
to the corresponding altitude and
corresponding side of another triangle, then
the triangles are similar.
Unit 5 –Trigonometry with Right Triangles
(8 days)
G-SRT Similarity, Right Triangles, and
Trigonometry
Define trigonometric ratios and solve
problems involving right triangles
Lesson 8-3 – Special Right Triangles

Identify and apply side ratios in
45-45-90 right triangles.

Identify and apply side ratios in
30-60-90 right triangles
Lesson 8-4 – Trigonometry

Define trigonometric ratios and solve
problems involving right triangles
Define trigonometric ratios for acute
angles in right triangles

G-SRT.C.7 Explain and use the relationship
between the sine and cosine of
complementary angles.
Use trigonometric rations and
Pythagorean Theorem to solve right
triangles

Use the relationship between the
sine and cosine of complementary
angles.
G-SRT.C.8 Use trigonometric ratios and the
Pythagorean Theorem to solve right triangles
in applied problems.★
Discovering Special Right Triangles
Learning Task
Finding Right Triangles in your Environment
Learning Task
H.O.T. Problems
p.559 #50
Explain how you can find the lengths of two
legs of a 30-60-90 triangle in radical form if
you are given the length of the hypotenuse.
Create your own triangles Learning Task
G-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.
G-SRT Similarity, Right Triangles, and
Trigonometry
Lesson 8.3 pp. 552-559
Lesson 8.4 pp. 562-571
Discovering Trigonometric Ratio Relationships
learniing task p.22
H.O.T. Problems
p.570 #65
Explain how you can use ratios of the side
lengths to find the angle measures of the
acute angles in a right triangle.
G-SRT.C.6
Subject to revision
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2015/2016
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Instructional Map
3rd Nine Weeks
TN State Standards
G-SRT Similarity, Right Triangles, and
Trigonometry
Essential Understandings
Geometry
Content & Tasks
Lesson 8-5 – Angles of Elevation and
Depression
Lesson 8.5 pp. 574-581
Find that Side or Angle Task
Define trigonometric ratios and solve
problems involving right triangles

Solve problems involving angles of
elevation.
G-SRT.C.8

Solve problems involving angles of
depression.
Interstate
CLIP Connections
H.O.T. Problems
p.580 #25
Classify the statement below as true or false.
Explain. “As a person moves closer to an
object he or she is sighting, the angle of
elevation increases”
Unit 7 – Volume Formulas
(6 days)
G-GMD Geometric Measurement and
Dimension
Explain volume formulas and use them to
solve problems
G-GMD.A.1. Give an informal argument for the
formulas for the circumference of a circle, area
of a circle, volume of a cylinder, pyramid, and
cone. Use dissection arguments, Cavalieri’s
principle, and informal limit arguments.
G.GMD.A.3. Use volume formulas for
cylinders, pyramids, cones, and spheres to
solve problems.★
Lesson 12.4 – Volumes of Prisms and
Cylinders

Find volumes of prisms

Find volumes of cylinders
G-GMD Geometric Measurement and
Dimension
Explain volume formulas and use them to
solve problems
G-GMD.A.1
G.GMD.A.3
Lesson 12.5 – Volumes of Pyramids and
Cones
G-GMD Geometric Measurement and
Dimension
Explain volume formulas and use them to
solve problems
G-GMD.A.1
G.GMD.A.3
Lesson 12.6 – Volume of Spheres
Subject to revision

Find volumes of pyramids

Find volumes of cones

Find volumes of spheres
Lesson 12.4 pp. 847-854
How much money is that? (prism)
Centerpiece (cylinder)
H.O.T. Problems
p.853 #44
Write a helpful response to the following
questions posted on an Internet garden forum.
“I am new to gardening. The nursery will
deliver a truckload of soil, which they say is 4
yards. I know that a yard is 3 feet, but what is
a yard of soil? How do I know what to order?”
Lesson 12.5 pp. 857-863
H.O.T. Problems
p.862 #40
Compare and contrast finding volumes of
pyramids and cones with finding volumes of
prisms and cylinders.
Doctors Appointment (cone)
Great Egyptian Pyramids (pyramid)
Lesson 12.6 pp. 873-878
Guessing Gumballs Task
H.O.T. Problems
p.870 #48
Write a ratio comparing the volume of a
sphere with radius r to the volume of a
cylinder with radius r and height 2r. Then
describe what the ratio means.
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2015/2016
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Instructional Map
3rd Nine Weeks
TN State Standards
Essential Understandings
Geometry
Content & Tasks
CLIP Connections
Unit 7 – Modeling and Problem Solving
(5 days)
G-MG Modeling with Geometry
Apply geometric concepts in modeling
situations
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).★
No Glencoe Lesson
G-MG Modeling with Geometry
Apply geometric concepts in modeling
situations
No Glencoe Lesson


Use three-dimensional figures
to describe objects
Model and solve problems using
figures and their measurements
G-MG.A.2 Apply concepts of density based on
area and volume in modeling situations (e.g.,
persons per square mile, BTUs per cubic
foot).★
G-MG Modeling with Geometry
Apply geometric concepts in modeling
situations
G-MG.A.3 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).★
No Glencoe Lesson

Model and solve problems using
figures and their measurements
Illustrative mathematics G.MG.A.1 multiple
lessons and tasks that can be used
A plastic beach ball has a diameter of 15
inches. About how much plastic is used to
make the beach ball? Describe what
processes you used to find the answer.
Glencoe Lesson CCSS Lab 14: Geometry
Lab: Population Density (Supplement)
Illustrative mathematics G-MG.A.2 multiple
lessons and tasks that can be used
A candy factory makes peanut butter
chocolate balls with a 1 inch diameter using a
chocolate shell and a peanut ball center. If the
diameter of the peanut butter ball is .5 inch,
find the volume of chocolate used to make
each ball. What percentage of each ball is
peanut butter? Justify your answer.
Illustrative mathematics G.MG.A.3 multiple
lessons and tasks that can be used
Unit 6: Circles
( 5 days for instruction, review, and assessment)
G - C Circles
Understand and apply theorems about
circles
G.C.A.1 Prove that all circles are silimar
Lesson 10-1 – Circles and Circumference

Give an argument to justify the
formula for the circumference of
a circle.

Prove that all circles are similar.
Lesson 10.1 pp.
Similar Circles Task
All Circles are Similar Task
H.O.T. Problems
p.690 #54
Research and write about the history of pi and
its importance to the study of geometry.
G-CO Congruence
Subject to revision
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Instructional Map
3rd Nine Weeks
TN State Standards
Essential Understandings
Geometry
Content & Tasks
CLIP Connections
Experiment with transformations in
the plane
G.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.
G-GMD Geometric Measurement and
Dimension
G.GMD.A.1
G - C Circles
Understand and apply theorems about
circles
G-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.
Lesson 10-2 – Measuring Angles and
Arcs
G - C Circles
Understand and apply theorems about
circles
G-C.A.2
Lesson 10-4 – Inscribed Angles
Subject to revision

Identify central angles, major
arcs, minor arcs, and semicircles
and find their measures.

Identify and describe relationships
involving inscribed angles.

Prove properties of angles for a
quadrilateral inscribed in a circle.
Lesson 10.2 pp. 692-700
Circles and their Relationships among Central
Angles, Arcs and Chords
Investigating Angle Relationships in Circles
H.O.T. Problems
p.699 #62
Describe the three different types of arcs in a
circle and the method for finding the measure
of each one.
Lesson 10.4 pp. 709-716
Opposite angles in a cyclic quadrilateral
H.O.T. Problems
p.715 #50
Compare and contrast inscribed angles and
central angles of a circle. If they intercept the
same arc, how are they related.
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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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