Instructional Map
4th Nine Weeks
TN State Standards
Essential Understandings
Geometry
Content & Tasks
CLIP Connections
Unit 6: Angles and Segments in Circles
(6 days)
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.
G-C.A.3 Construct the inscribed and
circumscribed circles of a triangle, and
prove properties of angles for a
quadrilateral inscribed in a circle.
G-C Circles
Understand and apply theorems about
circles
G-C.A.2
G-C.A.3 Construct a tangent line from a
point outside a given circle to the circle.
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
Subject to revision
Lesson 10-4 – Inscribed Angles

Identify and describe relationships
involving inscribed angles.

Prove properties of angles for
a quadrilateral inscribed in a
circle.
Lesson 10-5 – Tangents

Identify and describe
relationships among tangents
and radii.

Identify and describe
relationships among
circumscribed angles and
central angles.

Construct a tangent line from a
point outside a circle to the
circle.
Lesson 10-4 pp. 709-715
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?
Lesson 10-5 pp.718-725
H.O.T. Problems
p.724 # 39
How many tangents can be drawn from a
point outside a circle, from a point on a circle,
and from a point inside a circle? Explain your
reasoning.
Tangent Lines and the Radius of a
Circle
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Instructional Map
4th Nine Weeks
TN State Standards
not on the line.
G-CO Congruence
Make geometric constructions
G.CO.D.12
G.CO.D.13 Construct an equilateral
triangle, a square, and a regular
hexagon inscribed in a circle.
G-C Circles
Understand and apply theorems about
circles
G.C.A.3
G-C Circles
Understand and apply theorems about
circles
G-C.A.2
G-C Circles
Understand and apply theorems about
circles
G-C.A.2
Essential Understandings
Extend Lesson 10-5 Geometry Lab:
Inscribed and Circumscribed Circles

Construct an equilateral triangle,
a square, and a regular hexagon
inscribed in a circle.

Construct the inscribed and
circumscribed circles of a triangle
Lesson 10-6 Secants, Tangents, and
angle measures

Find measures of angles form by
lines intersecting on or inside a
circle.

Find measures of angles formed by
lines intersecting outside the circle.
Lesson 10-7 Special Segments in Circles

Find measures of segments that
intersect in the interior of a circle

Find measures of segments that
intersect in the exterior of a circle.
Geometry
Content & Tasks
Lesson 10-5 p. 726
Use geometry software or graphing calculator
such as TI-Nspire or the Cabri Jr. APP on the
TI-84 to investigate. A regular compass and
straight edge can also be used.
CLIP Connections
Why is the term “incenter” a good term for the
intersection of the three angle bisectors?
Explain your reasoning.
Lesson 10-6 p. 727-735
Chords Secants and Tangents p.58
Lesson pp. 736-742
Chords Secants and Tangents p.58
H.O.T. Problems
p. 741 #31
Describe the relationship among
segments in a circle when two secants
intersect inside a circle.
Unit 6 (part 2): Arc Length, Sector Area, and Equations of Circles
(8 days)
G-C Circles
Understand and apply theorems about
circles
G-C.A.2
G-C Circles
Find arc length and areas of sectors of
circles
Subject to revision
Lesson 10-2 – Measuring Angles and Arcs

Derive and apply the formula for
arc length.

Derive the fact that the length of
the arc intercepted by an angle is
proportional to the radius.

Define and apply radian measure.
Lesson 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.
Arc length and Area Sector p.85
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G.C.B.5 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.
G-C Circles
Find arc length and areas of sectors of
circles
G.C.B.5
G-GPE Expressing Geometric
Properties with Equations
Translate between the geometric
description and the equation of a
conic section
G-GPE.A.1 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.
Essential Understandings
Lesson 11-3 – Areas of Circles

Derive a formula for the area of
a sector of a circle.

Find the area of circles and
sectors of circles
Lesson 10-8 – Equations of Circles and
Graphing Technology Lab 10.8 (using
TI-Nspire)

Derive the equation of a circle
given the center and the radius.

Complete the square to find the
center and radius of a circle by
an equation.
Geometry
Content & Tasks
CLIP Connections
Lesson 11-3 pp.782 - 788
Arc Length and Area of Sector
Grain Storage Task
H.O.T. Problems
p.787 # 49
If the radius of a circle doubles, will the
measure of a sector of that circle double? Will
it double if the arc measure of that sector
doubles?
Lesson 10-8 pp.743 - 749
Equations of Circles 1
H.O.T. Problems
p.748 # 40
Describe how the equation for a circle
changes if the circle is translated a units to the
right and b units down.
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; prove or disprove that the
point (1,√3) lies on the circle centered at the
origin and containing the point (0, 2).
Subject to revision
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Instructional Map
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TN State Standards
Essential Understandings
Geometry
Content & Tasks
CLIP Connections
Unit 7 (part 2): Visualizing Solids
( 7 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).★
Lesson 12-1 – Representations of
Three- Dimensional Figures

Investigate cross sections of
three-dimensional figures
G-GMD Geometric Measurement and
Dimension
Visualize relationships between twodimensional and three-dimensional objects
G-GMD.B.4 Identify the shapes of twodimensional cross- sections of three
dimensional objects, and identify threedimensional objects generated by rotations of
two-dimensional objects.
Volumes of Cylinders, Cones, Pyramids, and
Spheres
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).★
Lesson 12-2 – Surface Area of Prisms
and Cylinders
G-MG Modeling with Geometry
Apply geometric concepts in modeling
situations
G-MG.A.3
Lesson 12-3 – Surface Area of
Pyramids and Cones
Subject to revision
Lesson pp. 823-828
Unit on Area, Perimeter, and Volume
with multiple tasks
 Boxing Basketballs p.5
 Great Pyramid p.13
 Walter and Juanita’s Water
Troughs p.17
 Greenhouse p.23

Find the lateral area and
surface area of prisms.

Find the lateral area and
surface area of cylinders.

Find the lateral area and
surface area of pyramids.

Find the lateral area and
surface area of cones.
Lesson 12-2 pp.830-837
Cereal Box Project
H.O.T. Problems
p.836 #40 Compare and contrast finding the
surface area of a prism and finding the surface
area of a cylinder.
Lesson 12-3 pp.838-846
H.O.T. Problems
p.845 #41 Describe how to find the surface
area of a regular polygonal pyramid with an ngon base, height h units and an apothem of a
units.
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Instructional Map
4th Nine Weeks
TN State Standards
G-MG Modeling with Geometry
Apply geometric concepts in modeling
situations
G-MG.A.3
Essential Understandings
Lesson 12-6 – Surface Areas of
Spheres

Geometry
Content & Tasks
Lesson 12-6 pp.864-871
CLIP Connections
Describe the difference between the surface
area of a sphere and the volume of a sphere.
Find the surface area of a
sphere
Unit 5 (part 2): Trigonometry with All Triangles
( 4 days)
*Optional Section – No CCSS
Lesson 8-6 – The Law of Sines and Cosines
 Derive a trigonometric formula for
the area of a triangle
 Prove and apply the Law of Sines

Subject to revision
Introduction – How Big is the Bermuda
Triangle?
H.O.T. Problems
p.590
Prove and apply the Law of
Cosines
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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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