About the Book
Each section contains detailed explanation and interactive widgets to introduce new concepts followed by full problem sets increasing in difficulty from basic to complex. Written by a math teacher with over 30 years experience, this text is being used as the honors level textbook in a high school of over 4000 students in a northern suburb of Chicago. This book stands apart from other books because it was specifically for learners to read interactively. Unlike other digital textbooks that have been converted from previously written hardbound textbooks by adding in a few movies and quizzes, this book was written for students to be active learners. Readers are asked to think as they read and then check their ideas as they proceed. By using dynamic geometry software built into the book’s widgets, students will discover meanings of terms and develop new theorems throughout the course. The problem sets are filled with rigorous activities and have hidden ‘hints’ for students to reveal when they get stuck. The writing style is quirky; a relaxed style geared for adolescents.
Topics Covered In The Book
This textbook is designed to cover an entire year of high school geometry. The first semester topics include: symmetry, transformations, constructions, coordinate geometry, logic, congruent triangles, points of concurrency, properties of special triangles, proofs (two column, algebraic, flow, and indirect), equidistance, parallel lines, and quadrilateral properties. The second semester includes: similarity, dilations, right triangles, Pythagorean Theorem, 3d solids, right triangle trigonometry, Law of Cosines/Sines, polygons, tessellations, circles, angle/arc relationships, power theorems, area, volume, surface area, and modeling. These are all topics in the Common Core Curriculum for geometry.
- Section 2.1 Transformations with Coordinates
- Section 2.2 Things I Learned in Algebra
- Section 2.3 More Geometry and Algebra
- Section 2.4 One Magical Point
- Section 3.1 It's Only Logical
- Section 3.2 Three Is a Magic Number
- Section 3.3 Congruent Triangles
- Section 3.4 Comps and Supps
- Section 3.5 Addition & Subtraction
- Section 3.6 Multiplication & Division
- Section 4.1 The Basics
- Section 4.2 Constructing Perpendiculars
- Section 4.3 Points of Concurrency
- Chapter 4 Activity
- Section 5.1 The End of CPCTC
- Section 5.2 Turn It Up To 11
- Section 5.3 Classify Triangles
- Section 5.4 My Favorite Theorems
- Section 5.5 RHL
- Chapter 5 Activity
- Section 6.1 The Quest(ion)s of Mathematics
- Section 6.2 No Picture? Then Make a Picture!
- Section 6.3 Perpendicular Bisectors and Equidistance
- Section 6.4 If It's Not This, Then It's Got To Be This
- Section 7.1 Parallel Lines
- Section 7.2 Parallel Lines Keep Going
- Section 7.3 Quadrilaterals
- Section 7.4 More Quadrilaterals
- Section 7.5 It Looks Like a Parallelogram
- Section 7.6 Special Quads
- Chapter 7 Extension Cartesian Coordinate Proofs
- Section 8.1 Dilations Pt.1 Size Matters
- Section 8.2 Dilations Pt. Deux
- Section 8.3 Similarity
- Section 8.4 Proving ~ Δs
- Section 8.5 Proportions Without ~ Δs
- Section 9.1 A Right Δ Inside a Right Δ
- Section 9.2 Pythagorean Theorem
- Section 9.3 Right Triangle Families
- Section 9.4 Right Triangles in 3d Figures
- Section 9.5 Special Right Triangles
- Section 9.6 Right Triangle Trigonometry
- Section 9.7 Law of Cosines
- Section 9.8 Law of Sines
- Section 10.1 Polygon Formulas
- Section 10.2 What is Regular?
- Section 10.3 Constructing Regular Polygons
- Section 10.4 Tessellations
- Section 11.1 Chords of Circles
- Section 11.2 From the Center to the Arc
- Section 11.3 Tangents
- Section 11.4 Angle−Arc Relationships
- Section 11.5 Arcs Have Length and Measure
- Section 11.6 Power of the Point
- Section 12.1 Area Basics
- Section 12.2 More Area Formulas
- Section 12.3 Regular Polygons
- Section 12.4 Sectors of Circles
- Section 12.5 Ratio of Areas
- Section 13.1 Lines and Planes In Space
- Section 13.2 If You Look At It That Way
- Section 13.3 Cross−Sections of 3D Objects
- Section 14.1 Surface Area
- Section 14.2 SA of Cylinders and Cones
- Section 14.3 Volume Basics
- Section 14.4 Volumes of Pyramids and Cones
- Section 14.5 Spheres
- Section 15.1 Intro to Modeling
- Section 15.2 Art Gallery Watchmen
- Section 15.3 Packaging and Packing
- Section 15.4 Airports
- Dedication
- Answers
- Reasons List
- Attributes
Pricing And Plans
Annual Subscription
For most high school students who will take one year of geometry (and proceed to forget most of it the following year).
Lifetime Subscription
For teachers who may teach the course for longer than one year. Or for students who may fondly remember the joys of geometry and wish to relive those precious moments.
About Author
Alfred Estberg
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