Emily Wang

Parent View 家长全览
Grade 11·Demo Academy·Newton, MA
Accelerated — currently in Pre-Calculus Honors
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Overall Progress Snapshot — 25 nodes assessed
L0 Not Assessed (0)
L1 Recognition (1)
L2 Execution (11)
L3 Explanation (13)
L4 Transfer (0)
Diagnostic Report
April 2026 Assessment
ID: demo_002-apr2026

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

Current Level
Summer Target L3
L0=Not Assessed · L4=Transfer

Domain Breakdown — 各学科进度

Average level per domain across all assessed nodes

Number & Quantity
L2.8 (2.8/4)
Algebra
L2.5 (2.5/4)
Functions
L2.3 (2.3/4)
Trigonometry
L2.3 (2.3/4)
L0
L1
L2
L3
L4

Academic Journey 学术路径

From elementary foundations to college mathematics

Elementary Math
K–5
Middle School Math
6–8
Grade 9
2025–26
AP Calculus BC (Fall 2026)
2026–27
AP Calculus BC (2026)
2027–28
Multivariable Calculus (2027)
2028–29
College Math
2030+

Knowledge Structure Map 知识结构图

All assessed nodes organized by mathematical domain

Number & Quantity

5 nodes
Avg:L3
SystemsL3
RepresentationsL3
Algebraic ExpressionsL3
Multi TranslateL3
ComplexL2

Algebra

10 nodes
Avg:L2
EquivalenceL3
FactoringL3
Equations Vs IdentitiesL2
ParametersL2
ExpressionL3
EquationL3
RootsL3
FactorsL2
MultiplicityL2
Graph BehaviorL2

Functions

6 nodes
Avg:L2
BasicsL3
RepresentationsL3
FamiliesL2
TransformationsL2
CompositionL2
InverseL2

Trigonometry

4 nodes
Avg:L3
Angle MeasureL3
Unit CircleL3
GraphsL2
IdentitiesL1
Priority focus node
L0
L1
L2
L3
L4

Priority Action Plan 优先学习路径

Step-by-step focus areas for the upcoming learning period

1
Identities
L1L2

Pythagorean identity memorized

Structure Naming / 结构命名Side-by-Side Compare / 对比分析Verbal Explanation / 口头解释
2
Composition
L2L3

Can compute f(g(x)) mechanically

Verbal Explanation / 口头解释Reverse Construction / 逆向构建
3
Transformations
L2L3

Horizontal transformations still confuse direction

Side-by-Side Compare / 对比分析Multi-Representation / 多表征转换
4
Multiplicity
L2L3

Multiplicity rule known; graph behavior at repeated roots not yet internalized

Graph Reconstruction / 图像重建Verbal Explanation / 口头解释
5
Inverse
L2L3

Algebraic inverse computation solid

Graph Reconstruction / 图像重建Multi-Representation / 多表征转换
Spring 2026: 3-4 weeks to solidify trig identity structure and function composition depth before AP Calculus BC

Parent Report 家长报告

Bilingual diagnostic summary for parents

Emily is one of our strongest students — her foundation across algebra, polynomial systems, and basic trigonometry is at the L3 (Explanation) level. As she prepares for AP Calculus BC, the gaps we want to address are structural: specifically, her ability to work with trigonometric identities (she knows Pythagorean but cannot derive sum/difference formulas), and function composition with domain constraints. These are exactly the skills that appear in BC Calculus and AMC 10. The good news: at her level, these gaps close quickly — 3-4 weeks of focused structural work will have her fully prepared.

AP Trajectory 升学路径

Academic pathway toward AP-level mathematics

Current
Pre-Calculus Honors
Next
AP Calculus BC (Fall 2026)
Target 1
AP Calculus BC (2026)
Target 2
Multivariable Calculus (2027)

Next Steps 接下来的计划

Recommended actions to stay on track

1
June 2026
Start Summer Program

Schedule the 8-week targeted repair plan for polynomial structure and algebra depth

2
July 2026
Mid-Summer Check-in

Progress review to assess L3 attainment across priority nodes and adjust fall plan