About the Course
At DuoSpace, we transform AMC 10 preparation into a powerful platform for advanced mathematical thinking. Our hyper-personalized approach goes beyond competition prep – we're building the problem-solving foundation that will distinguish your student in high school mathematics and beyond.
Why Our Approach Works
We begin with a comprehensive evaluation of your student's mathematical reasoning, pattern recognition abilities, and learning style. This allows us to design a preparation strategy that not only targets competition excellence but develops the advanced thinking skills crucial for future STEM success.
What They'll Master
- Develop sophisticated problem-solving techniques across algebra, geometry, and number theory
- Master advanced mathematical concepts through our intuitive, connection-based framework
- Build competition confidence through strategic time management and test-taking techniques
- Connect competition mathematics to advanced high school coursework and future STEM opportunities
The DuoSpace Difference
- Pre-session customization ensures optimal alignment with your student's mathematical level
- Real-time adaptability allows us to maximize learning effectiveness during each session
- Comprehensive progress tracking helps visualize growth across all mathematical areas
- Strategic competition preparation seamlessly integrated into concept development
- Post-session materials tailored to reinforce strengths and address growth opportunities
What to Expect
While DuoSpace curriculum is customized for each student's needs and learning preferences, these are the core AMC 10 areas we typically cover:
- Advanced Problem Solving: Mastering sophisticated strategies including invariants, extremal principles, pigeonhole principle, and constructive proofs.
- Intermediate Combinatorics: Tackling permutations, combinations, recursion problems, and probability concepts with strategic insight.
- Euclidean Geometry: Developing theorem-based approaches to angle chasing, similar triangles, power of a point, and coordinate methods.
- Number Theory Techniques: Working with modular arithmetic, Diophantine equations, divisibility tests, and number-theoretic functions.
- Algebra & Functions: Applying polynomial properties, inequalities, functional equations, and sequences to competition problems.
- Contest Optimization: Building speed, accuracy, and strategic test-taking skills specific to the AMC 10 format and difficulty level.
Prerequisite Knowledge
Students beginning our AMC 10 preparation typically have strong foundations in algebra and geometry. We adapt our approach based on each student's competition experience, whether they're transitioning from AMC 8 or approaching math competitions for the first time.
What Our Students Say About Us
See how our hyper-personalized approach has transformed students' relationship with calculus and boosted their academic achievement.
After trying three different math competition coaches, we finally found Austin at DuoSpace. The difference is remarkable. While other tutors simply assigned endless practice problems, Austin developed a strategic approach specifically tailored to my daughter's analytical thinking style. What impressed me most was Austin's ability to identify precise gaps in her mathematical intuition and build a customized curriculum that highlighted her problem-solving abilities.
As a coach, I've worked with many tutors. What sets Austin apart is his ability to diagnose a student's exact mathematical thinking patterns. For our team's star student who was plateauing, Austin identified subtle misconceptions in combinatorial reasoning that were holding him back.
The jump from AMC 10 to AMC 12 was much steeper than I expected. Austin helped me bridge that gap by creating lessons that targeted just the topics I struggled with. He has a crazy ability to explain complex concepts in ways that match how I think.
