I usually use a textbook to learn a concept, then I use khanacademy to practice/solidify/review the concept. Any suggestions or tweaks to my method? Also, I’m looking for a good geometry textbook that covers all the concepts in this syllabus https://www.pisd.edu/cms/lib/TX02215173/Centricity/Domain/1026/Geometry_Syllabus.pdf (Including the Honors ones)
Cheers!
The very best treatment of introductory geometry that you are going to find as an 8th grade student is Art of Problem Solving’s Introduction to Geometry. If you diligently work through those chapters and problems you will be very far ahead of the curve. You can also register on the AoPS website and do tons of geometry problems for free through the Alcumus program.
Now I am not saying that AoPS is the best possible way of learning geometry. Being in a class of gifted kids like at the Proof School would be better. As would studying one on one with a real math professor. But in the real world of possibilities? No regular or honors high school class is going to come close. The only wrinkle is that AoPS avoids two column proofs (because they are silly) so if you need to show two column proofs for any qualifying exam you’ll need to take a little time to familiarize yourself with that technique.
Just looking at your syllabus, the only area where the AoPS text won’t cover is combinatorics and probability, which is not a geometry topic. AoPS does have a good Introduction to Counting and Probability book as well, though. Good luck!
Thanks, I’ll consider that.
Any other suggestions?