Mathematics and Science Overview

Maths

• Branches:

  • Algebra: Study of symbols and rules for manipulating those symbols.
  • Geometry: Study of shapes, sizes, properties of space.
  • Calculus: Study of change, involving derivatives and integrals.
  • Statistics: Analysis of data to extract meaningful insights.

• Key Concepts:

  • Numbers: Integers, rational, irrational, real, and complex numbers.
  • Functions: Mapping relationships between sets.
  • Theorems: Statements proven based on previously established statements (e.g., Pythagorean theorem).

• Important Skills:

  • Problem-solving: Ability to formulate and solve mathematical problems.
  • Logical reasoning: Use of logic to arrive at conclusions.

Science

• Branches:

  • Physics: Study of matter, energy, and the universe.
  • Chemistry: Study of substances, their properties, reactions, and transformations.
  • Biology: Study of living organisms and vital processes.

• Key Concepts:

  • Scientific Method: Systematic observation, measurement, and experiment, followed by the formulation of hypotheses.
  • Laws and Theories: Laws describe observed phenomena while theories explain them.
  • Ecosystems: Study of interactions among living things and their environment.

• Important Skills:

  • Critical thinking: Analyzing facts to form a judgment.
  • Experimental skills: Designing and conducting experiments, collecting data.

English

• Components:

  • Reading: Comprehension, analysis of texts, identification of themes and literary devices.
  • Writing: Composition, grammar, organization of ideas, persuasive writing.
  • Speaking and Listening: Effective communication skills, understanding spoken language.

• Key Concepts:

  • Literary Elements: Plot, character, setting, theme, and symbolism.
  • Rhetoric: Art of persuasive speaking or writing.
  • Vocabulary: Understanding word meanings, synonyms, antonyms, and usage in context.

• Important Skills:

  • Critical reading: Evaluating and interpreting texts.
  • Clear expression: Articulating ideas effectively through speech and writing.