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:
- Algebra - Linear equations, inequalities, and systems
- Problem Solving and Data Analysis - Ratios, percentages, and statistical reasoning
- Advanced Math - Quadratic and nonlinear expressions, equations
- 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
- Addition and Subtraction
- Multiplication and Division
- Fractions and Decimals
- Basic Statistics
- Basic Probability
- Pattern Recognition
Foundational Skills
Progression Path
For optimal learning, we recommend mastering skills in this sequence:
- Start with Foundational Skills for young learners (PreK-2)
- Progress to Basic Arithmetic (Grades 2-4)
- Move to Pre-Algebra (Grades 5-7)
- Advance to Intermediate Algebra and Basic Geometry (Grades 7-9)
- Study Advanced Math topics (Grades 9-11)
- Complete College-Ready Math Proficiency (Grades 11-12)
Each skill page includes detailed examples and exercises appropriate to the learner's developmental stage.