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Saxon Geometry

from christianbook.com—Presented in the familiar Saxon approach of incremental development and continual review, topics are continually kept fresh in students' minds. Covering triangle congruence, postulates and theorems, surface area and volume, two-column proofs, vector addition, and slopes and equations of lines, Saxon features all the topics covered in a standard high school geometry course. Two-tone illustrations help students really "see" the geometric concepts, while sidebars provide additional notes, hints, and topics to think about. Parents will be able to easily help their students with the solutions manual, which includes step-by-step solutions to each problem in the student book; and quickly assess performance with the test book (test answers included). Tests are designed to be administered after every five lessons after the first ten.

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Additional Details

Resource Type: Book
ISBN: 978-1-602-77305-9
Print Status: In Print
Lessons: 170
Pages: 887
Suggested Grades: 9th - 12th
Publisher: Saxon, HMH Supplemental Publishers Inc.
Copyright: 2009

Lessons

1 Points, Lines, and Planes
2 Segments
3 Angles
LAB 1 Construction: Congruent Segments and Angles
4 Postulates and Theorems About Points, Lines, and Planes
5 More Theorems About Lines and Planes
LAB 2 Construction: Perpendicular Line Through a Point on a Line
6 Identifying Pairs of Angles
LAB 3 Construction: Perpendicular Bisectors and Angle Bisectors
7 Using Inductive Reasoning
8 Using Formulas in Geometry
9 Finding Length: Distance Formula
10 Using Conditional Statements
Test 1
INV 1 Investigation: Transversals and Angle Relationships
11 Finding Midpoints
12 Proving Lines Parallel
LAB 4 Construction: Parallel Line Through a Point
13 Introduction to Triangles
14 Disproving Conjectures with Counterexamples
15 Introduction to Polygons
Test 2
16 Finding Slopes and Equations of Lines
17 More Conditional Statements
18 Triangle Theorems
19 Introduction to Quadrilaterals
20 Interpreting Truth Tables
Test 3
INV 2 Investigation: Proving the Pythagorean Theorem
21 Laws of Detachments and Syllogism
22 Finding Areas of Quadrilaterals
23 Introduction to Circles
24 Algebraic Proofs
25 Triangle Congruence: SSS
Test 4
26 Central Angles and Arc Measure
27 Two-Column Proofs
28 Triangle Congruence: SAS
LAB 5 Construction: Congruent Triangles
29 Using the Pythagorean Theorem
30 Triangle Congruence: ASA and AAS
Test 5
INV 3 Investigation: Exploring Angles of Polygons
31 Flowchart and Paragraph Proofs
32 Altitudes and Medians of Triangles
33 Converse of the Pythagorean Theorem
34 Properties of Parallelograms
35 Finding Arc Lengths and Areas of Sectors
Test 6
36 Right Triangle Congruence Theorems
37 Writing Equations of Parallel and Perpendicular Lines
38 Perpendicular and Angle Bisectors of Triangles
LAB 6 Construction: Circle Through Three Noncollinear Points
39 Inequalities in a Triangle
40 Finding Perimeters and Areas of Composite Figures
Test 7
INV 4 Investigation: Inequalities in Two Triangles
41 Ratios, Proportions, and Similarity
42 Finding Distance from a Point to a Line
LAB 7 Construction: Perpendicular Through a Point Not on a Line
43 Chords, Secants, and Tangents
44 Applying Similarity
45 Introduction to Coordinate Proofs
Test 8
46 Triangle Similarity: AA, SSS, SAS; Exploration: Understanding AA Similarity
47 Circles and Inscribed Angles
48 Indirect Proofs
49 Introduction to Solids
50 Geometric Mean
Test 9
INV 5 Investigation: Nets
51 Properties of Isosceles and Equilateral Triangles
52 Properties of Rectangles, Rhombuses, and Squares; Exploration: Using Construction Techniques to Draw a Rhombus
53 45° -45° -90° Right Triangles
54 Representing Solids
55 Triangle Midsegment Theorem
Test 10
56 30° -60° -90° Right Triangles
57 Finding Perimeter and Area with Coordinates
58 Tangents and Circles, Part I
LAB 8 Construction: Tangent to a Circle
59 Finding Surface Areas and Volumes of Prisms
60 Proportionality Theorems
Test 11
INV 6 Investigation: Geometric Probability
61 Determining If a Quadrilateral Is a Parallelogram
62 Finding Surface Areas and Volumes of Cylinders; Exploration: Analyzing the Net of a Cylinder
63 Introduction to Vectors
64 Angles Interior to Circles
65 Distinguishing Types of Parallelograms
Test 12
66 Finding Perimeters and Areas of Regular Polygons
LAB 9 Construction: Regular Polygons
67 Introduction to Transformations
68 Introduction to Trigonometric Ratios
69 Properties of Trapezoids and Kites
70 Finding Surface Areas and Volumes of Pyramids
Test 13
INV 7 Investigation: Trigonometric Ratios
71 Translations
72 Tangents and Circles, Part 2
73 Applying Trigonometry: Angles of Elevation and Depression; Exploration: Making and Using a Hypsometer
74 Reflections
75 Writing the Equation of a Circle
Test 14
76 Symmetry
77 Finding Surface Areas and Volumes of Cones
78 Rotations
LAB 10 Technology: Transformations Using Geometry Software
79 Angles Exterior to Circles
80 Finding Surface Areas and Volumes of Spheres
Test 15
INV 8 Investigation: Patterns
81 Graphing and Solving Linear Systems
82 More Applications o Trigonometry
83 Vector Addition
84 Dilations
85 Cross Sections of Solids
Test 16
86 Determining Chord Length
LAB 11 Technology: Intersecting Chords Using Geometry Software
87 Area Ratios of Similar Figures
88 Graphing and Solving Linear Inequalities
89 Vector Decomposition
90 Composite Transformations; Exploration: Performing Composite Transformations
Test 17
INV 9 Investigation: Tessellations
91 Introduction to Trigonometric Identities
92 Quadrilaterals on the Coordinate Plane
LAB 12 Technology: Distinguishing Types of Quadrilaterals Using Geometry Software
93 Representing Solids: Orthographic Views; Exploration: Drawing Orthographic Views of Objects
94 Law of Sines
95 Equations of Circles: Translating and Dilating
Test 18
96 Effects of Changing Dimensions on Perimeter and Area
97 Concentric Circles
98 Law of Cosines
99 Volume Ratios of Similar Solids
100 Transformation Matrices
Test 19
INV 10 Investigation: Fractals
101 Determining Lengths of Segments Intersecting Circles
LAB 13 Technology: Exploring Secant Segments Using Geometry Software
102 Dilations in the Coordinate Plane
103 Frustums of Cones and Pyramids
104 Relating Arc Lengths and Chords
105 Rotations and Reflections in the Coordinate Plane
Test 20
106 Circumscribed and Inscribed Figures
107 Maximizing Area
LAB 14 Technology: Maximizing Area Using Geometry Software
108 Introduction to Coordinate Space
109 Non-Euclidean Geometry; Exploration: Exploring Triangle Angles in Spherical Geometry
110 Scale Drawings and Maps
Test 21
INV 11 Investigation: Golden Ratio
111 Finding Distance and Midpoint in Three Dimensions
112 Finding Areas of Circle Segments
113 Symmetry of Solids and Polyhedra
114 Solving and Graphing Systems of Inequalities
115 Finding Surface Areas and Volumes of Composite Solids
Test 22
116 Secant, Cosecant, and Cotangent
117 Determining Line of Best Fit
LAB 15 Technology: Determining Line of Best Fit Using a Graphing Calculator
118 Finding Areas of Polygons Using Matrices
119 Platonic Solids
120 Topology; Exploration: Observing Properties of Mobius Strips
Test 23
INV 12 Investigation: Polar Coordinates

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