New general mathematics for senior secondary schools

Here is a comprehensive outline of new general mathematics for senior secondary schools:

Course Structure:

• The course is designed for students in senior secondary schools (Years 11-12)
• The course is divided into two main components:
  1. Core Mathematics (40% of the course)
  2. Elective Mathematics (60% of the course)

Core Mathematics (40%):

• This component covers the fundamental concepts and skills in mathematics, including:
  • Number Systems: rational and irrational numbers, complex numbers, and algebraic expressions
  • Algebra: solving linear and quadratic equations, graphing linear and quadratic functions
  • Geometry: properties of shapes, trigonometry, and spatial reasoning
  • Measurement: units, conversion, and calculations
  • Statistics and Probability: data analysis, graphing, and probability concepts

Elective Mathematics (60%):

• This component allows students to specialize in a particular area of mathematics, including:
  • Calculus: limits, derivatives, and integrals
  • Statistics and Probability: advanced data analysis, statistical inference, and probability theory
  • Discrete Mathematics: combinatorics, graph theory, and number theory
  • Mathematical Modeling: using mathematics to model real-world problems

Assessment:

• The course will be assessed through a combination of:
  • Quizzes and tests (40% of the course)
  • Projects and assignments (30% of the course)
  • Final examination (30% of the course)

Teaching and Learning Strategies:

• The course will be taught using a variety of teaching and learning strategies, including:
  • Lectures and discussions
  • Group work and collaboration
  • Problem-solving and project-based learning
  • Technology integration (e.g., graphing calculators, computer algebra systems)

Key Concepts and Skills:

• The course will focus on developing the following key concepts and skills:
  • Problem-solving and critical thinking
  • Mathematical modeling and analysis
  • Data analysis and interpretation
  • Communication and presentation skills
  • Collaboration and teamwork

Real-World Applications:

• The course will emphasize the real-world applications of mathematics, including:
  • Science and technology
  • Economics and finance
  • Social sciences and humanities
  • Environmental and sustainability issues

Resources:

• The course will require the following resources:
  • Textbook or online materials
  • Graphing calculator or computer algebra system
  • Access to technology and internet
  • Calculator or computer for assignments and projects

Course Outline:

• The course outline will be as follows:
  • Year 11:
    • Core Mathematics: Number Systems, Algebra, Geometry, Measurement, and Statistics and Probability
    • Elective Mathematics: Calculus, Statistics and Probability, or Discrete Mathematics
  • Year 12:
    • Core Mathematics: Review and extension of Year 11 topics, with a focus on problem-solving and critical thinking
    • Elective Mathematics: Advanced topics in Calculus, Statistics and Probability, or Discrete Mathematics

Note: This is just a sample outline and may vary depending on the specific school or curriculum.