Geometry More Enjoyment and More Challenge

An online textbook covering a full year course of high school plane geometry (through Core Curriculum) with interactives, videos, and problem sets.

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

Games / Resources

Pricing And Plans

For most high school students who will take one year of geometry (and proceed to forget most of it the following year).

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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.

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About Author

Alfred Estberg

My name is Alfred Estberg. I recently retired from a 33-year career of teaching at New Trier High School in a suburb north of Chicago. Over my career, I taught all courses in a traditional math curriculum from Algebra to Calculus at all ability levels offered at our school from remedial to Advanced Placement and all grade levels from 8th to 12th.

One of my proudest achievements is my creation of a geometry textbook. For the past ten years, It has been in use at our school and has been adopted by another high school in our district; in total, more than 700 students use this textbook each school year.

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Drop Us A Message

Address

Evanston, IL
Email

AlfEstberg@geometryenjoychallenge.com

Geometry More Enjoyment and More Challenge

An online textbook covering a full year course of high school plane geometry (through Core Curriculum) with interactives, videos, and problem sets.

About the Book

Topics Covered In The Book

Pricing And Plans

Annual Subscription

Lifetime Subscription

About Author

Alfred Estberg

Drop Us A Message

Address

Email