2023: done.
I. Framework Algebra
A. Objectives
1. Develop algebraic thinking
2. Master basic algebraic operations
3. Apply algebraic concepts to real-world problems
B. Structure
1. Number systems
2. Expressions and equations
3. Functions and relations
C. Context
1. Historical development of algebra
2. Practical applications
D. Core Concepts
1. Variables
2. Equations
3. Inequalities
E. Methods & Techniques
1. Simplification
2. Factoring
3. Solving equations
F. Integration
1. Coordinate geometry
2. Trigonometry
3. Statistics
G. Assessment & Evaluation
1. Tests and quizzes
2. Projects and presentations
H. Adaptability
1. Incorporate new technology
2. Update teaching methods
II. Framework Calculus
A. Objectives
1. Understand limits and continuity
2. Master differentiation and integration
3. Apply calculus to real-world problems
B. Structure
1. Limits
2. Derivatives
3. Integrals
C. Context
1. Historical development of calculus
2. Practical applications
D. Core Concepts
1. Instantaneous rate of change
2. Accumulation
3. Optimization
E. Methods & Techniques
1. Differentiation rules
2. Integration techniques
3. Series and sequences
F. Integration
1. Physics
2. Engineering
3. Economics
G. Assessment & Evaluation
1. Tests and quizzes
2. Projects and presentations
H. Adaptability
1. Incorporate new technology
2. Update teaching methods
III. Framework Logic
A. Objectives
1. Develop critical thinking skills
2. Understand principles of formal and informal logic
3. Apply logical reasoning to real-world problems
B. Structure
1. Propositional logic
2. Predicate logic
3. Modal logic
C. Context
1. Historical development of logic
2. Practical applications
D. Core Concepts
1. Statements and propositions
2. Logical connectives
3. Inference rules
E. Methods & Techniques
1. Deductive reasoning
2. Inductive reasoning
3. Fallacies
F. Integration
1. Philosophy
2. Mathematics
3. Computer science
G. Assessment & Evaluation
1. Tests and quizzes
2. Projects and presentations
H. Adaptability
1. Incorporate new technology
2. Update teaching methods
IV. Systems Framework
A. Objectives
1. Understand the nature of complex systems
2. Analyze system components and interactions
3. Apply systems thinking to real-world problems
B. Structure
1. System elements
2. System dynamics
3. System boundaries
C. Context
1. Historical development of systems theory
2. Practical applications
D. Core Concepts
1. Emergence
2. Feedback loops
3. Resilience
E. Methods & Techniques
1. Systems modeling
2. Network analysis
3. Scenario planning
F. Integration
1. Environmental science
2. Social systems
3. Technology and innovation
G. Assessment & Evaluation
1. Tests and quizzes
2. Projects and presentations
H. Adaptability
1. Incorporate new technology
2. Update teaching methods