Page 1
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 1 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry (blended) Copyright date: 2013-2017
Contact: Tracey Bradley Phone#: (888)
851-7094 x463
E-mail:
[email protected]
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.1 The student will use deductive reasoning to construct and
judge the validity of a logical argument consisting of a set
of premises and a conclusion. This will include
ATE
Chapter 2: Introduction to Proof
Lesson 2.1 A Little Dash of Logic (p. 135)
Lesson 2.2 And Now From a New Angle (p. 151)
Chapter 13: Circles and Parabolas
Lesson 13.1 The Coordinate Plane (p. 965)
CT: MATHia
Module 2: Segments, Angles, and Lines
Unit 1: Introduction to Proofs with Segments and Angles
Workspace 1 Introduction to Proofs
Workspace 2 Completing Measure Proofs
Workspace 3 Connecting Steps in Angle Proofs
a) identifying the converse, inverse, and contrapositive of
a conditional statement;
ATE
Chapter 2: Introduction to Proof
Lesson 2.5 A Reversed Condition (p. 201)
Chapter 8: Using Congruence Theorems
Lesson 8.4 Making Some Assumptions (p. 633)
Page 2
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 2 of 22 Virginia Department of Education 2017
b) translating a short verbal argument into symbolic
form; and
ATE
Chapter 2: Introduction to Proof
Lesson 2.4 What’s Your Proof (p. 191)
CT: MATHia
Module 2: Segments, Angles, and Lines
Unit 1: Introduction to Proofs with Segments and Angles
Workspace 1 Introduction to Proofs
c) determining the validity of a logical argument.
ATE
Chapter 2: Introduction to Proof
Lesson 2.3 Forms of Proof (p. 169)
CT: MATHia
Module 2: Segments, Angles, and Lines
Unit 1: Introduction to Proofs with Segments and Angles
Workspace 2 Completing Measure Proofs
Workspace 3 Connecting Steps in Angle Proofs
Page 3
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 3 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.2 The student will use the relationships between angles
formed by two lines intersected by a transversal to
a) prove two or more lines are parallel; and
ATE
Chapter 10: Properties of Quadrilaterals
Lesson 10.1 Squares and Rectangles (p. 741)
CT: MATHia
Module 2: Segments, Angles, and Lines
Unit 3: Parallel Lines Theorems
Workspace 1 Proving Parallel Lines Theorems
Workspace 2 Proving the Converse of Parallel Lines
Theorems
Workspace 3 Using Parallel Lines Theorem
b) solve problems, including practical problems,
involving angles formed when parallel lines are
intersected by a transversal.
ATE
Chapter 2: Introduction to Proof
Lesson 2.4 What’s Your Proof (p. 191)
Lesson 2.5 A Reversed Condition (p. 201)
CT: MATHia
Module 2: Segments, Angles, and Lines
Unit 2: Lines Cut by a Transversal
Workspace 1 Classifying Angles Formed by Transversals
Page 4
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 4 of 22 Virginia Department of Education 2017
Workspace 2 Calculating Angles Measures Formed by
Transversals
Workspace 3 Calculating Angles Measures Formed by
Multiple Transversals
Page 5
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 5 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.3 The student will solve problems involving symmetry and
transformation. This will include
a) investigating and using formulas for determining
distance, midpoint, and slope;
ATE Chapter 1: Tools of Geometry
Lesson 1.2 Let’s Move! (p. 17)
Lesson 1.3 Treasure Hunt (p. 35)
Chapter 3: Perimeter and Area of Geometric Figures on the
Coordinate Plane
Lesson 3.1 Transforming to a New Level! (p. 227)
Lesson 3.5 Composite Figures on the Coordinate Plane (p.
281)
CT: MATHia
Module 1: Tools of Geometry
Unit 2: Distances on the Coordinate Plane
Workspace 1: Deriving the Distance Formula
Workspace 2: Calculating Distances using the Distance
Formula
Workspace 3: Partitioning Segments Proportionately
Workspace 4: Calculating Perimeter and Area Using the
Distance Formula
Page 6
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 6 of 22 Virginia Department of Education 2017
b) applying slope to verify and determine whether lines
are parallel or perpendicular;
ATE Chapter 1: Tools of Geometry
Lesson 1.5 Did You Find a Parking Spot? (p. 61)
CT: MATHia
Module 1: Tools of Geometry
Unit 2: Parallel and Perpendicular Lines
Workspace 1 Introduction to Parallel and Perpendicular
Lines
Workspace 2 Modeling Parallel and Perpendicular Lines
c) investigating symmetry and determining whether a
figure is symmetric with respect to a line or a point;
and
d) determining whether a figure has been translated,
reflected, rotated, or dilated, using coordinate
methods.
ATE Chapter 3: Perimeter and Area of Geometric Figures on the
Coordinate Plane
Lesson 3.2 Looking at Something Familiar in a New Way (p.
235)
Lesson 3.3 Grasshoppers Everywhere! (p.255)
Chapter 7: Congruence Through Transformations
Lesson 7.1 Slide, Flip, Turn: The Latest Dane Craze? (p. 513)
Chapter 13: Circles and Parabolas
Lesson 13.3 Is That Point on the Circle (p. 989)
CT: MATHia
Module 4: Congruence
Unit 1: Rigid Motion
Workspace 1 Rotations and Reflections on the Plane
Workspace 2 Developing Definitions of Rigid Motion
Workspace 3 Specifying a Sequence of Transformations
Workspace 4 Using Geometric Descriptions to Transform
Page 7
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 7 of 22 Virginia Department of Education 2017
Figures
Page 8
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 8 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.4 The student will construct and justify the constructions of
ATE Chapter 1: Tools of Geometry
Lesson 1.1 Let’s Get This Started! (p. 3)
a) a line segment congruent to a given line segment; ATE Chapter 1: Tools of Geometry
Lesson 1.2 Let’s Move! (p. 17)
b) the perpendicular bisector of a line segment; ATE Chapter 1: Tools of Geometry
Lesson 1.3 Treasure Hunt (p. 35)
c) a perpendicular to a given line from a point not on the
line;
ATE Chapter 1: Tools of Geometry
Lesson 1.6. Making Copies – Just as Perfect as the Original!
(p. 75)
d) a perpendicular to a given line at a given point on the
line;
ATE Chapter 1: Tools of Geometry
Lesson 1.6. Making Copies – Just as Perfect as the Original!
(p. 75)
Page 9
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 9 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.4 The student will construct and justify the constructions of
e) the bisector of a given angle; ATE Chapter 1: Tools of Geometry
Lesson 1.4 It’s All About Angles (p. 51)
f) an angle congruent to a given angle; ATE Chapter 1: Tools of Geometry
Lesson 1.4 It’s All About Angles (p. 51)
g) a line parallel to a given line through a point not on the
line; and
ATE Chapter 1: Tools of Geometry
Lesson 1.6. Making Copies – Just as Perfect as the Original!
(p. 75)
h) an equilateral triangle, a square, and a regular hexagon
inscribed in a circle.
ATE Chapter 1: Tools of Geometry
Lesson 1.6. Making Copies – Just as Perfect as the Original!
(p. 75)
Page 10
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 10 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.5 The student, given information concerning the lengths of
sides and/or measures of angles in triangles, will solve
problems, including practical problems. This will include
CT: MATHia
Module 4: Congruence
Unit 3: Triangle Theorems
Workspace 1 Proving Triangle Theorems
Workspace 2 Using Triangle Theorems
a) ordering the sides by length, given angle measures;
ATE Chapter 5: Properties of Triangles
Lesson 5.2 Inside Out (p. 387)
b) ordering the angles by degree measure, given side
lengths;
c) determining whether a triangle exists; and
ATE Chapter 5: Properties of Triangles
Lesson 5.3 Trade Routes and Pasta Anyone? (p. 405)
d) determining the range in which the length of the third
side must lie.
ATE Chapter 5: Properties of Triangles
Lesson 5.1 Name That Triangle! (p. 379)
Lesson 5.3 Trade Routes and Pasta Anyone? (p. 405)
Page 11
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 11 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.6 The student, given information in the form of a figure or
statement, will prove two triangles are congruent.
Chapter 7: Congruence Through Transformations
Lesson 7.2 All the Same to You (p. 535)
Lesson 7.3 Side-Side-Side (p.543)
Chapter 8: Using Congruence Theorems
Lesson 8.1 Time to Get Right (p.599)
Lesson 8.2 CPCTC (p. 617)
Lesson 8.3 Congruence Theorems in Action (p. 625)
CT: MATHia
Module 4: Congruence
Unit 2: Triangle Congruence
Workspace 1 Introduction to Triangle Congruence
Workspace 2 Proving Triangles Congruent using SAS and
SSS
Workspace 6 Proving Theorems using Congruent Triangles
Page 12
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 12 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.7 The student, given information in the form of a figure or
statement, will prove two triangles are similar.
ATE
Chapter 6: Similarity Through Transformations
Lesson 6.1 Big and Small (p. 437)
Lesson 6.2 Similar Triangles or Not (p. 451)
Lesson 6.3 Keep It in Proportion (p. 463)
Lesson 6.4 Geometric Mean (p. 481)
Lesson 6.6 Indirect Measurement (p. 495)
CT: MATHia
Module 5: Similarity, Right Triangles, and Trigonometry
Unit 1: Similar Triangles
Workspace 1 Understanding Similarity
Workspace 2 Calculating Corresponding Parts of Similar
Triangles
Workspace 3 Proofs Using Similar Triangles
Page 13
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 13 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.8 The student will solve problems, including practical
problems, involving right triangles. This will include
applying
ATE
Chapter 8: Using Congruence Theorems
Lesson 8.1 Time to Get Right (p. 599)
a) the Pythagorean Theorem and its converse;
ATE
Chapter 4: Three-Dimensional Figures
Lesson 4.8 Two Dimensions Meet Three Dimensions (p. 359)
Chapter 5: Properties of Triangles
Lesson 5.4 Stamps Around the World (p. 411)
Lesson 5.5 More Stamps Really? (p. 419)
Chapter 6: Similarity Through Transformations
Lesson 6.5 Proving the Pythagorean Theorem (p.489)
Chapter 13: Circles and Parabolas
Lesson 13.3 Is That Point on the Circle (p. 989)
b) properties of special right triangles; and
ATE
Chapter 5: Properties of Triangles
Lesson 5.4 Stamps Around the World (p. 411)
Lesson 5.5 More Stamps Really? (p. 419)
CT: MATHia
Module 5: Similarity, Right Triangles, and Trigonometry
Unit 2: Special Right Triangles
Page 14
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 14 of 22 Virginia Department of Education 2017
Workspace 1 Introduction to Special Right Triangles
Workspace 2 Calculating the Lengths of Sides of Special
Right Triangles
c) trigonometric ratios.
ATE
Chapter 9: Trigonometry
Lesson 9.1 Three Angle Measure (p. 657)
Lesson 9.2 The Tangent Ratio (p. 669)
Lesson 9.3 The Sine Ratio (p. 685)
Lesson 9.4 The Cosine Ratio (p. 695)
CT: MATHia
Module 5: Similarity, Right Triangles, and Trigonometry
Unit 3: Trigonometric Ratios
Workspace 1 Introduction to Trigonometric Ratios
Workspace 2 Relating Sine and Cosine of Complementary
Angles
Module 5: Similarity, Right Triangles, and Trigonometry
Unit 4: Right Triangles and Trigonometric Ratios
Workspace 1 Determining Side Lengths using One
Trigonometric Ratio
Workspace 2 Determining Side Lengths using Multiple
Trigonometric Ratio
Page 15
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 15 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.9 The student will verify and use properties of quadrilaterals
to solve problems, including practical problems.
ATE
Chapter 10: Properties of Quadrilaterals
Lesson 10.1 Squares and Rectangles (p. 741)
Lesson 10.2 Parallelograms and Rhombi (p. 757)
Lesson 10.3 Kites and Trapezoids (p. 771)
Lesson 10.7 Name That Quadrilateral (p. 819)
CT: MATHia
Module 6: Parallelograms
Unit 1: Properties of Parallelograms
Workspace 1 Understanding Parallelograms
Workspace 2 Determining Parts of Quadrilaterals and
Parallelograms with Numbers
Workspace 3 Determining Parts of Quadrilaterals and
Parallelograms with Expressions
Page 16
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 16 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.10 The student will solve problems, including practical
problems, involving angles of convex polygons. This
will include determining the
a) sum of the interior and/or exterior angles;
ATE
Chapter 10: Properties of Quadrilaterals
Lesson 10.4 Interior Angles of a Polygon (p. 789)
Lesson 10.5 Exterior and Interior Angle Measurement
Interactions (p. 801)
b) measure of an interior and/or exterior angle; and
ATE
Chapter 10: Properties of Quadrilaterals
Lesson 10.4 Interior Angles of a Polygon (p. 789)
Lesson 10.5 Exterior and Interior Angle Measurement
Interactions (p. 801)
c) number of sides of a regular polygon.
ATE
Chapter 10: Properties of Quadrilaterals
Lesson 10.4 Interior Angles of a Polygon (p. 789)
Lesson 10.5 Exterior and Interior Angle Measurement
Interactions (p. 801)
Page 17
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 17 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.11 The student will solve problems, including practical
problems, by applying properties of circles. This will
include determining
ATE
Chapter 11: Circle
Lesson 11.1 Riding a Ferris Wheel (p. 839)
Chapter 12: Arcs and Sectors of Circles
Lesson 12.1 Replacement for a Carpenter’s Square (p. 911)
Lesson 12.4 Circle K. Excellent! (p. 945)
Chapter 13: Circles and Parabolas
Lesson 13.1 The Coordinate Plane (p. 965)
CT: MATHia
Module 7: Circles
Unit 1: Properties of Circles
Workspace 1 Introduction to Circles
Unit 2: Angles in Circles
Workspace 1 Determining Central and Inscribed Angles in
Circles
Workspace 3 Determining Chords in Circles
a) angle measures formed by intersecting chords, secants,
and/or tangents;
ATE
Chapter 11: Circle
Lesson 11.3 Manhole Covers (p. 863)
Lesson 11.4 Color Theory (p. 877)
Lesson 11.5 Solar Eclipses (p. 889)
Page 18
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 18 of 22 Virginia Department of Education 2017
b) lengths of segments formed by intersecting chords,
secants, and/or tangents;
ATE
Chapter 11: Circle
Lesson 11.3 Manhole Covers (p. 863)
CT: MATHia
Module 7: Circles
Unit 2: Angles in Circles
Workspace 2 Determining Chords in Circles
c) arc length; and
ATE
Chapter 11: Circle
Lesson 11.2 Take the Wheel (p. 849)
Chapter 12: Arcs and Sectors of Circles
Lesson 12.2 Gears (p. 923)
CT: MATHia
Module 7: Circles
Unit 3: Arc Length and Radius
Workspace 1 Relating Arc Length and Radius
d) area of a sector.
ATE
Chapter 12: Arcs and Sectors of Circles
Lesson 12.3 Playing Darts (p. 935)
CT: MATHia
Module 7: Circles
Unit 3: Arc Length and Radius
Workspace 2 Calculating the Area of a Sector
Page 19
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 19 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.12 The student will solve problems involving equations of
circles.
ATE Chapter 13: Circles and Parabolas
Lesson 13.2 Bring on the Algebra (p. 973)
Page 20
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 20 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.13 The student will use surface area and volume of three-
dimensional objects to solve practical problems.
ATE
Chapter 4: Three-Dimensional Figures
Lesson 4.2 Cakes and Pancakes (p. 303)
Lesson 4.3 Cavalieri’s Principles (p. 319)
Lesson 4.4 Spin to Win (p. 325)
Lesson 4.5 Spheres a la Archimedes (p. 337)
Lesson 4.6 Turn Up the… (p. 343)
CT: MATHia
Module 3: Three Dimensional Objects
Unit 2: Volume
Workspace 1 Developing Volume Formulas
Workspace 2 Calculating Volume of Cylinders
Workspace 3 Calculating Volume of Pyramids
Workspace 4 Calculating Volume of Cones
Workspace 5 Calculating Volume of Spheres
Page 21
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 21 of 22 Virginia Department of Education 2017
Publisher: Carnegie Learning Text: Geometry
2016 Geometry Standards of Learning
STANDARD Correlation: Must address both the standards and the curriculum
framework. Use page number and ATE for Annotated Teacher Edition or
CT for Core Technology. (Identify no more than 8 correlations.)
G.14 The student will apply the concepts of similarity to two-
or three-dimensional geometric figures. This will include
a) comparing ratios between lengths, perimeters, areas,
and volumes of similar figures;
CT - MATHia
Module: Similarity, Right Triangles, and Trigonometry
Unit: Similar Triangles
Workspace 1: Understanding Similarity
Workspace 2: Calculating Corresponding Parts of Similar
Triangles
Workspace 3: Proofs Using Similar Triangles
b) determining how changes in one or more dimensions
of a figure affect area and/or volume of the figure;
ATE
Chapter 3: Perimeter and Area of Geometric Figures on the
Coordinate Plane
Lesson 3.2 Looking at Something Familiar in a New Way (p.
235)
Lesson 3.3 Grasshoppers Everywhere! (p.255)
c) determining how changes in area and/or volume of a
figure affect one or more dimensions of the figure; and
Page 22
Mathematics Textbook Correlation to the
2016 Geometry Standards of Learning and Curriculum Framework
Geometry 22 of 22 Virginia Department of Education 2017
d) solving problems, including practical problems, about
similar geometric figures.
ATE
Chapter 5: Properties of Triangles
Lesson 5.4 Stamps Around the World (p. 411)
Lesson 5.5 More Stamps Really? (p. 419)
Chapter 6: Similarity Through Transformations
Lesson 6.1 Dilating Triangles to Create Similar Triangles (p.
437)
Lesson 6.3 Keep It in Proportion (p. 463)
Lesson 6.4 Geometric Mean (p. 461)
Lesson 6.6 Indirect Measurement (p. 495)
CT: MATHia
Module 5: Similarity, Right Triangles, and Trigonometry
Unit 1: Similar Triangles
Workspace 2 Calculating Corresponding Parts of Similar
Triangles
Unit 2: Special Right Triangles
Workspace 2 Calculating the Lengths of Sides of Special
Right Triangles
