Then coordinates are introduced, allowing the authors to use algebraic arguments throughout the text. From there, the authors cover area, the Pythagorean Theorem, the distance formula, circles, perpendicular bisectors, triangles, polygons, and triangle congruence. Dilations are used to explain similarity.
Volume formulas are derived for some standard figures. The authors present fascinating geometric arguments that enable them to obviate the need to use calculus to find some of the limits involved in the derivations. The book concludes with nonstandard topics, including vectors, the dot product, transformations, and isometries.
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This material is the greatest strength of the text, which concludes with a proof that any isometry can be expressed as the composition of at most three reflections. The writing is generally clear, but there are errors. In one proof, there is a triangle whose three vertices are actually collinear. The authors do not distinguish between the Angle-Side-Angle congruence postulate for triangles and the Angle-Angle-Side Theorem for congruence of triangles, arguing that since the sum of the measures of a triangle is always degrees, the measures of two angles of a triangle determine the third.
Where this causes problems is that when they express that triangles are congruent, corresponding vertices do not necessarily match, which can be confusing. The problems in the text are both interesting and tractable.
The problems in the final section of the text and those listed as Additional Exercises are more challenging. There are no answers to the problems in the text. Lang and G. Murrow , written by Philip Carlson is available separately. Also, a problem involving similar triangles and another that hinges on the Side-Angle-Side congruence postulate for triangles are introduced before the relevant topics. I recommend using this text as a supplement to a standard course. That way you will be familiar with standard terminology and notation.
You will also know what a standard course covers and the usual way in which the theorems are proved. That will help you appreciate the nonstandard material covered in this text and the alternative proofs that are presented. Moise and Floyd L. Downs, Jr. That text, which is known for its challenging problems, is comprehensive enough to cover both the material in a standard course and much of the nonstandard material in this text. I found this treatment to be an excellent introduction to geometry for students without much mathematical background. Students are taught how to think logically, but are not forced into the cookie cutter mold proof style that so many geometry courses use.
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I especially like that he introduces much of the interesting material as experiments and exercises so that the students get to discover geometry for themselves. Although the book's approach is good, it omits a lot of theorems, mostly those involving circles.
The book emphasizes too much coordinate geometry. I recommend this book for self-study, but it is clearly not intended to be a textbook to cover all the material in a standard high school geometry course. With clear illustrations and diagrams to aid in many important proofs and excercises,this book far surpasses Cliff Notes!
Format: Kindle Edition. I teach Geometry with this book, and initially one of the reasons I wanted the Kindle was so that I could download this book. I downloaded the sample not longer after getting my Kindle, but I wasn't ready to pay the price for a number of reasons. Now the Kindle version costs what I can get the hardcover for.
This is ridiculous! What could have possibly happened in 3 months to nearly triple the Kindle version price?!? All Rights Reserved. Search GO. Home Contact Us Student Login. Kaci Dennis High School Diploma. Colt Chambers High School Diploma. Jayla Tibbs High School Diploma. Thinkwell does not have a course version for each state.
Geometry: A High School Course
Instead, the course is built to national standards to be inclusive of all states. Websites such as www. What if my student needs access to the course for more than 12 months? You can purchase extra time in one-month, three-month, and six-month increments.
Can I share access with more than one student? The courses are designed and licensed to accommodate one student per username and password; additional students need to purchase online access. This allows parents to keep track of each student's progress and grades. The pace of your course is up to you, but most students will schedule one school year. Can I see my grade? When logged in, your student can click "My Grades" to see their progress. How are grades calculated? What is acceptable performance on the exams? As a home-school parent, you decide the level of performance you want your student to achieve; the course does not limit access to topics based on performance on prior topics.
Can I get a transcript? You can contact techsupport thinkwell. What if I change my mind and want to do a different math course, can I change? If you discover that you should be in a different course, contact techsupport thinkwell. Can I print the exercises? Yes, but completing the exercises online provides immediate correct answer feedback and automatic scoring, so we recommend answering the exercises online. Are exercises multiple choice? Most of the exercises are multiple choice and they are graded automatically with correct answer solutions.
Is Thinkwell's Geometry built on "continuous review? Finally, Thinkwell Geometry is intentionally designed to work for a wide variety of learning styles. Is there a guarantee? Yes, we offer a full refund within three business days of purchase, no questions asked. How does my school review this course?
Should your school need to review a Thinkwell course for any reason, have the school contact techsupport thinkwell. Learn More. Honors 6th Grade Math. Redeem Code I already have a subscription code and I want to register: 1.
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