Geometry
Fundamental Concepts and Applications
Published on 17. April 2007
Book
Paperback/Softback
176 pages
978-0-321-47331-8 (ISBN)
Description
This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra.
Topics include:
A Brief History of Geometry
1. Basic Geometry Concepts
2. More about Angles
3. Triangles
4. More about Triangles: Similarity and Congruence
5. Quadrilaterals
6. Polygons
7. Area and Perimeter
8. Circles
9. Volume and Surface Area
10. Basic Trigonometry
Topics include:
A Brief History of Geometry
1. Basic Geometry Concepts
2. More about Angles
3. Triangles
4. More about Triangles: Similarity and Congruence
5. Quadrilaterals
6. Polygons
7. Area and Perimeter
8. Circles
9. Volume and Surface Area
10. Basic Trigonometry
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
College/higher education
Dimensions
Height: 10 mm
Width: 10 mm
Thickness: 10 mm
Weight
1000 gr
ISBN-13
978-0-321-47331-8 (9780321473318)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Alan Bass earned his Master of Science degree in Mathematics from the University of North Carolina at Wilmington. Presently, he lives, writes, runs, swims, bikes, hikes, and plays music with his wife Holly in sunny San Diego, CA. (He also enjoys fine wine and all things nerdy). He is an Associate Professor of Mathematics at San Diego Mesa College (just got tenure) and has been teaching developmental math for more than ten years. He is a big advocate for math study skills so, through a grant project called Pathways through Algebra, he got into networking with other schools to make study skills programs happen. He has worked on developing learning communities, establishing curriculum and pedagogy for study skills classes, and methods for incorporating study skills directly into the classroom. He has created and accumulated a ton of material, and wants to share it with you! For more information, check out his website at http://www.pearsonhighered.com/alanbass/index.html .
Content
H. A Brief History of Geometry
1. Basic Geometry Concepts
An Overview of this Supplement
Points, Lines, and Planes
Between Points
Congruent Objects and Bisectors
Solving Word Problems in Geometry
Construction Example: Using a Straight-Edge and Compass to Bisect a Line Segment
Geometry Project #1: The History of Geometry
2. More about Angles
Measuring and Classifying Angles
Notation for Angle Measure and Congruence
Common Relationships Between Angles
Complementary and Supplementary
Parallel Lines Cut by a Transversal
Construction Example: Using a Straight Edge and Compass to Bisect an Angle
Geometry Project #2: Proofs in Geometry
3. Triangles
The Practical Nature of Triangles
Classifying Triangles
The Angles of a Triangle
Right Triangles: The Pythagorean Theorem
Comparing the Sides and Angles of a Triangle
Geometry Project #3: Proofs in Geometry
4. More about Triangles: Similarity and Congruence
Congruent Triangles
Congruence Theorems
Similar Triangles
Special Right Triangles
Geometry Project #4: Finding the Height of a Building
5. Quadrilaterals
Classifying Quadrilaterals
The Angles of a Quadrilateral
Diagonals
Geometry Project #5: Quadrilaterals and Bisectors
6. Polygons
Identifying and Classifying Polygons
Theorems about Polygons
Geometry Project #6: The Area of a Regular Hexagon
7. Area and Perimeter
Perimeter
Area
Derived Area Formulas
More Complex Shapes
Geometry Project #7: Your Dream House
8. Circles
Definitions and Terminology
Area and Circumference
Arc Length and Sectors
Geometry Project #8: Proofs in Geometry
9. Volume and Surface Area
Volume Formulas for the Cube, Rectangular Solid, Cylinder, and Prism
The Sphere
Cones and Pyramids
Surface Area
Geometry Project #9: Approximating Volumes
10. Basic Trigonometry
Terminology Associated With Ratios in a Right Triangle
Finding Unknown Values
Trigonometric Ratio Values for Special Triangles
Geometry Project #10: Trig Meets World
1. Basic Geometry Concepts
An Overview of this Supplement
Points, Lines, and Planes
Between Points
Congruent Objects and Bisectors
Solving Word Problems in Geometry
Construction Example: Using a Straight-Edge and Compass to Bisect a Line Segment
Geometry Project #1: The History of Geometry
2. More about Angles
Measuring and Classifying Angles
Notation for Angle Measure and Congruence
Common Relationships Between Angles
Complementary and Supplementary
Parallel Lines Cut by a Transversal
Construction Example: Using a Straight Edge and Compass to Bisect an Angle
Geometry Project #2: Proofs in Geometry
3. Triangles
The Practical Nature of Triangles
Classifying Triangles
The Angles of a Triangle
Right Triangles: The Pythagorean Theorem
Comparing the Sides and Angles of a Triangle
Geometry Project #3: Proofs in Geometry
4. More about Triangles: Similarity and Congruence
Congruent Triangles
Congruence Theorems
Similar Triangles
Special Right Triangles
Geometry Project #4: Finding the Height of a Building
5. Quadrilaterals
Classifying Quadrilaterals
The Angles of a Quadrilateral
Diagonals
Geometry Project #5: Quadrilaterals and Bisectors
6. Polygons
Identifying and Classifying Polygons
Theorems about Polygons
Geometry Project #6: The Area of a Regular Hexagon
7. Area and Perimeter
Perimeter
Area
Derived Area Formulas
More Complex Shapes
Geometry Project #7: Your Dream House
8. Circles
Definitions and Terminology
Area and Circumference
Arc Length and Sectors
Geometry Project #8: Proofs in Geometry
9. Volume and Surface Area
Volume Formulas for the Cube, Rectangular Solid, Cylinder, and Prism
The Sphere
Cones and Pyramids
Surface Area
Geometry Project #9: Approximating Volumes
10. Basic Trigonometry
Terminology Associated With Ratios in a Right Triangle
Finding Unknown Values
Trigonometric Ratio Values for Special Triangles
Geometry Project #10: Trig Meets World