Dr Math Introduces Geometry Learning Geometry is Easy Just ask Dr Math 1st Edition by The Math Forum Drexel University, Jessica Wolk Stanley – Ebook PDF Instant Download/Delivery: 0471225541, 9780471225546
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Product details:
ISBN 10: 0471225541
ISBN 13: 9780471225546
Author: The Math Forum Drexel University, Jessica Wolk Stanley
You, Too, Can Understand Geometry – Just Ask Dr. Math!
Have you started studying geometry in math class? Do you get totally lost trying to find the perimeter of a rectangle or the circumference of a circle? Don’t worry. Grasping the basics of geometry doesn’t have to be as scary as it sounds. Dr. Math-the popular online math resource-is here to help!
Students just like you have been turning to Dr. Math for years asking questions about math problems, and the math doctors at The Math Forum have helped them find the answers with lots of clear explanations and helpful hints. Now, with Dr. Math Introduces Geometry, you’ll learn just what it takes to succeed in this subject. You’ll find the answers to dozens of real questions from students who needed help understanding the basic concepts of geometry, from lines, rays, and angles to measuring three-dimensional objects and applying geometry in the real world. Pretty soon, everything from recognizing types of quadrilaterals to finding surface area to counting lines of symmetry will make sense. Plus, you’ll get plenty of tips for working with tricky problems submitted by other kids who are just as confused as you are.
You won’t find a better introduction to the world and language of geometry anywhere!
Dr Math Introduces Geometry Learning Geometry is Easy Just ask Dr Math 1st Table of contents:
-
Part 1: The Building Blocks of Geometry
- Chapter 1: Points, Lines, and Planes
- What is a point?
- Lines, line segments, and rays
- Planes and space
- Intersections and parallel lines
- (Dr. Math Answers: “What’s the difference between a line and a ray?”)
- Chapter 2: Angles, Angles Everywhere!
- Types of angles: acute, obtuse, right, straight
- Measuring angles: degrees
- Complementary and supplementary angles
- Vertical angles and transversal lines
- (Dr. Math Answers: “How do I know if angles are congruent?”)
- Chapter 3: Shapes on a Plane: Polygons
- What makes a polygon?
- Triangles: types and properties
- Quadrilaterals: squares, rectangles, parallelograms, trapezoids
- Other polygons: pentagons, hexagons, etc.
- (Dr. Math Answers: “Is a square always a rectangle? Is a rectangle always a square?”)
- Chapter 1: Points, Lines, and Planes
-
Part 2: Measuring and Transforming Shapes
- Chapter 4: Perimeter, Area, and Volume
- Measuring distances: perimeter of polygons
- Area of squares, rectangles, triangles
- Area of complex shapes
- Introduction to 3D shapes: prisms, pyramids
- Volume of 3D shapes
- (Dr. Math Answers: “Why is the area of a triangle half of a rectangle?”)
- Chapter 5: Circles, Circles, Circles!
- Parts of a circle: radius, diameter, circumference
- Area of a circle
- Arcs and sectors
- (Dr. Math Answers: “What is Pi (π) and why is it important for circles?”)
- Chapter 6: Transformations: Moving Shapes Around
- Translations (slides)
- Rotations (turns)
- Reflections (flips)
- Symmetry
- (Dr. Math Answers: “Can a shape have more than one type of symmetry?”)
- Chapter 4: Perimeter, Area, and Volume
-
Part 3: Deeper Dive into Geometry
- Chapter 7: The Pythagorean Theorem
- Understanding right triangles
- Applying the theorem to find missing sides
- Real-world applications
- (Dr. Math Answers: “What does really mean?”)
- Chapter 8: Congruence and Similarity
- When shapes are “the same” (congruent)
- When shapes are “alike” (similar)
- Scale factors
- (Dr. Math Answers: “How do I prove two triangles are similar?”)
- Chapter 9: Introduction to Proofs
- What is a geometric proof?
- Basic postulates and theorems
- Simple deductive reasoning examples
- (Dr. Math Answers: “Why do we need proofs in geometry?”)
- Chapter 7: The Pythagorean Theorem
-
Part 4: Geometry in the Real World
- Chapter 10: Geometry in Art and Design
- Chapter 11: Geometry in Science and Engineering
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