Introduction to Geometry

Curriculum details

About

This book should be commenced once the student completes the Introduction to Algebra (Algebra 1) course. It is a precursor to the Intermediate Algebra (Algebra 2) course.

This textbook covers the material in greater depth than a traditional high school course, and includes many challenging problems. For this reason, we recommend that you take things as slowly as the student needs and err on the side of completing a small number of problems with full understanding and without overwhelming the student.

Start each new section by going over the example problems and their explanations. Next, have the student work through the problems at the end of the section in the textbook (there is no workbook).

Be aware that the textbook includes problems of a wide range of difficulty, and the majority of students (and parents!) are not expected to solve the most challenging ones without help. Use the solutions manual to work through any missed problems together. You may opt to skip the "Challenge" sections and complete only the regular problems if desired.

You may start this book in ninth or tenth grade, depending on when you complete the precursor Introduction to Algebra course. Take the time to work through it at the student's own pace. The book contains 112 sections and can be completed in eight or nine months at the rate of three sections per week.

For students who would like to go more in depth or prefer a live class format, Art of Problem Solving also offers challenging, instructor-led online classes at artofproblemsolving.com/school.