Course Title:  Geometry  -  Tools for a Changing World, Prentice Hall 1999

Level:  Sophomore – 10^th Grade

Prerequisite:   Algebra I

Course Syllabus – First Semester

I.          Tools of Geometry (Chapter 1)                                                 14 – 15 days

A.        Patterns and Inductive Reasoning

B.         Points, Lines, and Planes

C.         Segments, Rays, Parallel Lines, and Planes

D.        Measuring Angles and Segments

E.         Good Definitions

F.         Basic Constructions

G.         Deductive Reasoning

H.        The Coordinate Plane

II.         Investigating Geometric Figures (Chapter 2)                                          12 days

A.         Triangles

B.          Polygons

C.          Parallel and Perpendicular Lines

D.          Classifying Quadrilaterals

E.           Circles

F.           Congruent and Similar Figures

III.       Transformations (Chapter 3)                                                                 10 days

A.         Reflections

B.          Translations

C.          Rotations

D.          Compositions of Reflections

E.           Symmetry

F.           Tessellations

G.          Dilations

IV.       Triangle Relationships (Chapter 4)                                                         15 days

A.         Logical Reasoning

B.          Isosceles Triangles

C.          Preparing for Proof

D.          Midsegments of Triangles

E.           Using Indirect Reasoning

F.           Triangle Inequalities

G.          Bisectors and Locus

H.          Concurrent Lines

V.                 Measuring in the Plane  (Chapter 5)                                                      16 days

A.         Perimeter and Area

B.          Areas of Parallelograms and Triangles

C.          Pythagorean Theorem

D.          Special Right Triangles

E.           Areas of Trapezoids

F.           Areas of Regular Polygons

G.          Circles: Circumference and Arc Length

H.        Areas of Circles, Sectors, and Segments of Circles

VI.       Measuring in Space  (Chapter 6)                                                           14 days

A.         Space Figures and Nets

B.          Surface Area of Prisms and Cylinders

C.          Surface Area of Pyramids and Cones

D.          Volumes of Prisms and Cylinders

E.           Volumes of Pyramids and Cones

F.           Surface Areas and Volumes of Spheres

G.          Composite Space Figures

H.          Geometric Probability

VII.      Statistics  (Supplementary Chapter)                                                       2 – 4 days

A.         Mean, Median, Mode, Range

B.          Box-and-Whisker Graphs, Stem-and-Leaf Graphs

C.          Pie Charts

Course Syllabus – Second Semester

I.          Reasoning and Parallel Lines  (Chapter 7)                                             9 days

A.         Parallel Lines and Related Angles

B.          Proving Lines Parallel

C.          Constructing Parallel and Perpendicular Lines

D.          Spherical Geometry

II.         Proving Triangles Congruent     (Chapter 8)                                         14 days

A.         SSS and SAS

B.          ASA and AAS

C.          Congruent Right Triangles

D.          Congruent Triangles in Proof

E.         Using More than One Pair of Congruent Triangles

III.       Quadrilaterals  (Chapter 9)                                                                   11-12 days

A.         Properties of Parallelograms

B.          Proving that a Quadrilateral is a Parallelogram

C.          Special Parallelograms

D.          Trapezoids and Kites

E.           Coordinate Proofs

F.           Coordinate Geometry in Proofs

IV.       Similarity  (Chapter 10)                                                             13 – 15 days

A.         Ratio, Proportion, and Similarity

B.          Proving Triangles Similar

C.          Similarity in Right Triangles

D.          Proportions and Similar Triangles

E.           Perimeters and Areas of Similar Figures

F.         Areas and Volumes of Similar Solids

V.        Right Triangle Trigonometry  (Chapter 11)                                            8 days

A.         The Tangent Ratio

B.          The Sine and Cosine Ratios

C.          Angles of Elevation and Depression

D.          Trigonometry and Area

(Sections 11.4 and 11.5 are optional sections on vectors.)

VI.       Chords, Secants, and Tangents  (Chapter 12)                                       15 days

A.         Circles in the Coordinate Plane

B.          Properties of Tangents

C.          Properties of Chords and Arcs

D.          Inscribed Angles

E.           Angles Formed by Chords, Secants, and Tangents

F.           Circles and Lengths of Segments