Core structural gap in polynomial module requiring 6–8 weeks targeted repair
SAT-level algebra fluency and geometry fundamentals are stable
AP Precalculus 2027 → AP Calculus 2028 pathway is achievable with summer work
Big Picture — 全科能力图
Mathematical capability across all academic domains
数学能力雷达图 / Math Capability Radar
各学科领域当前能力层级分布
Domain Breakdown — 各学科进度
Average level per domain across all assessed nodes
Academic Journey 学术路径
From elementary foundations to college mathematics
Knowledge Structure Map 知识结构图
All assessed nodes organized by mathematical domain
Number & Quantity
5 nodesAlgebra
15 nodesFunctions
4 nodesGeometry
6 nodesPriority Action Plan 优先学习路径
Step-by-step focus areas for the upcoming learning period
Understands roots as 'where y=0'; root-factor connection not solid yet
Can factor quadratics but cannot explain factor theorem
Can sketch parabola; higher-degree polynomial graphs are guesses
Treats all algebra as 'solving' — identity concept not yet formed
Vertical shifts OK; horizontal shifts direction is confused (classic error)
Summer Learning Plan 暑期学习规划
8-week structured learning program
Polynomial structure deep-dive: roots → factors → graph triangle
Algebraic transformation: identity vs equation, parameter thinking
Function families: transformations, cross-representation fluency
Pre-Algebra 2 bridge: synthesize, extend, preview new terrain
Parent Report 家长报告
Bilingual diagnostic summary for parents
Madison is academically strong — her SAT math work this spring shows excellent speed and accuracy at a high level. In our structural assessment, her algebra computation is solid, and her geometry is on track for honors work. The area we want to develop over the summer is the deeper structural layer: specifically, the connection between polynomial roots, factors, and graphs (a key foundation for Algebra 2 Honors and all future math), and the ability to reason from a graph back to an equation. She currently works well in the forward direction — given an equation, she can compute. We want to build the reverse: given a graph or a word description, she can construct the equation and explain why. This takes 6-8 weeks of structural work. Entering Algebra 2 Honors in the fall with this foundation will make a measurable difference.
AP Trajectory 升学路径
Academic pathway toward AP-level mathematics
Next Steps 接下来的计划
Recommended actions to stay on track
Schedule the 8-week targeted repair plan for polynomial structure and algebra depth
Progress review to assess L3 attainment across priority nodes and adjust fall plan