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Mathematics Curriculum

The mathematics curriculum covers the full spectrum of skills from basic numeracy through advanced problem solving.

Math Overview

College-ready math skills can be grouped into four key areas:

  1. Algebra - Linear equations, inequalities, and systems
  2. Problem Solving and Data Analysis - Ratios, percentages, and statistical reasoning
  3. Advanced Math - Quadratic and nonlinear expressions, equations
  4. Geometry and Trigonometry - Geometry, trigonometry, and complex numbers

Mathematics Skill Graph

Below is the complete mathematics skill graph, with foundational skills at the bottom progressing to college-ready skills at the top.

graph TD
    COLLEGE-READY[COLLEGE-READY MATH PROFICIENCY]

    subgraph Algebra [Algebra]
        LE[Linear Equations]
        LI[Linear Inequalities]
        SoE[Systems of Equations]
        BF[Basic Functions]
    end

    subgraph ProblemSolvingDataAnalysis [Problem Solving & Data Analysis]
        RP[Ratios & Proportions]
        SA[Statistical Analysis]
        DI[Data Interpretation]
        Perc[Percentages]
    end

    subgraph AdvancedMath [Advanced Math]
        ER[Exponents & Radicals]
        QE[Quadratic Equations]
        Poly[Polynomials]
        AF[Advanced Functions]
    end

    subgraph GeometryTrigonometry [Geometry and Trigonometry]
        CT[Circle Theorems]
        Trig[Trigonometry]
        CG[Coordinate Geometry]
        CN[Complex Numbers]
    end

    subgraph IntermediateAlgebra [Intermediate Algebra]
        BES[Basic Equation Solving]
        VE[Variables & Expressions]
        Fact[Factoring]
    end

    subgraph BasicGeometry [Basic Geometry]
        AV[Area & Volume]
        AR[Angle Relationships]
        CP[Coordinate Plane]
    end

    subgraph PreAlgebra [Pre-Algebra]
        OO[Order of Operations]
        IRN[Integers & Real Numbers]
        MU[Measurement & Units]
    end

    subgraph BasicArithmetic [Basic Arithmetic]
        AS[Addition & Subtraction]
        MD[Multiplication & Division]
        FD[Fractions & Decimals]
        BP[Basic Probability]
        BS[Basic Statistics]
        PR[Pattern Recognition]
    end

    subgraph FoundationalSkills [Foundational Skills]
        BSSA[Basic Shapes & Spatial Awareness]
        GTLT[Greater Than/Less Than]
        NRC[Number Recognition & Counting]
    end

    %% Core skill connections
    NRC --> GTLT
    NRC --> PR
    BSSA --> PR
    GTLT --> AS
    PR --> AS
    PR --> MD
    AS --> MD
    MD --> FD
    MD --> BS
    FD --> BP
    BS --> BP
    BS --> DI

    %% Basic arithmetic to pre-algebra
    FD --> IRN
    MD --> OO
    AS --> OO
    PR --> IRN
    BSSA --> MU

    %% Pre-algebra to intermediate
    OO --> VE
    IRN --> VE
    VE --> BES
    FD --> BES

    %% Geometry progression
    BSSA --> AV
    MU --> AV
    AV --> AR
    PR --> CP
    IRN --> CP

    %% Data and statistics progression
    DI --> SA
    BP --> SA
    FD --> RP
    BS --> RP

    %% Advanced connections
    BES --> LE
    BES --> LI
    VE --> BF
    CP --> BF
    LE --> SoE
    LI --> SoE

    BES --> Poly
    VE --> Poly
    Poly --> QE
    ER --> QE
    BF --> AF
    Poly --> AF

    CP --> CG
    AR --> CT
    CG --> Trig
    CT --> Trig
    IRN --> CN

    %% Path to college readiness
    LE --> COLLEGE-READY
    SoE --> COLLEGE-READY
    SA --> COLLEGE-READY
    QE --> COLLEGE-READY
    Trig --> COLLEGE-READY

    %% Styling
    classDef top fill:#f9f,stroke:#333,stroke-width:2px;
    classDef level1 fill:#ccf,stroke:#333,stroke-width:1px;
    classDef level3 fill:#bdf,stroke:#333,stroke-width:1px;
    classDef level4 fill:#cdf,stroke:#333,stroke-width:1px;
    classDef level6 fill:#dfd,stroke:#333,stroke-width:1px;
    classDef level7 fill:#ffc,stroke:#333,stroke-width:1px;

    class COLLEGE-READY top;
    class Algebra,ProblemSolvingDataAnalysis,AdvancedMath,GeometryTrigonometry level1;
    class IntermediateAlgebra,BasicGeometry level3;
    class PreAlgebra level4;
    class BasicArithmetic level6;
    class FoundationalSkills level7;

Detailed Skill Breakdowns

Algebra

Problem Solving and Data Analysis

Advanced Math

Geometry and Trigonometry

Intermediate Skills

Basic Geometry

Pre-Algebra

Basic Arithmetic

Foundational Skills

Progression Path

For optimal learning, we recommend mastering skills in this sequence:

  1. Start with Foundational Skills for young learners (PreK-2)
  2. Progress to Basic Arithmetic (Grades 2-4)
  3. Move to Pre-Algebra (Grades 5-7)
  4. Advance to Intermediate Algebra and Basic Geometry (Grades 7-9)
  5. Study Advanced Math topics (Grades 9-11)
  6. Complete College-Ready Math Proficiency (Grades 11-12)

Each skill page includes detailed examples and exercises appropriate to the learner's developmental stage.