Mathematics & Natural Science
Mathematics 1a
Program or profession specific content
Chapter 1. Mathematical concepts - Proportionality, scale, similarity, angles, Pythagorean theorem, percentages, symmetries, vectors, trigonometric functions, index measures, profit margins, equilibrium and margins of error
Chapter 2. Calculation methods - Estimations, calculations involving disturbances or measurement errors, spreadsheet software, verification calculations, calculations of waste and loss, rough calculations and rounding
Chapter 3. Handling of formulas
Chapter 4. Measurement and handling of quantities and units - Unit conversions, angle measurement, rounding principles, cost calculations, safety margins, time estimates, calculation of consumables, measuring tools and measurement uncertainties
Chapter 5. Tools - Forms, templates, rules of thumb, reference works, handbooks, regulations and manuals
Arithmetic, functions and algebra
Chapter 6. Formulas and algebraic expressions - Factorization and multiplication
Chapter 7. Functions - Words, expressions, tables and ordinary/digital graphs
Chapter 8. Function values and equations f(x) = a
Chapter 9. Linear functions - Properties
Chapter 10. Linear equations - Solving
Chapter 11. Exponential functions - Properties and differences and similarities to linear functions
Chapter 12. Change factor - Calculation
Probability and statistics
Chapter 13. Independent/dependent and complementary events - Games of chance and in risk and safety assessments
Chapter 14. Statistical concepts - Significance, correlation, causality, sampling methods and sources of error
Digital tools
Chapter 15. Spreadsheet software - Interest and principal repayments
Chapter 16. Digital tools - Streamline calculations, complement methods in equations and problem solving
Problem solving and areas of application
Chapter 17. Problem solving - Discovering and expressing general relationships
Chapter 18. Problem solving - Personal finance, sustainable development and critically examine facts and claims
Chapter 19. Application, formulation and evaluation models - Properties and limitations
Chapter 20. History - Development of a concept, role in a event and significant figure or historical mathematical problem
Mathematics 1b
Algebra, arithmetic and functions
Chapter 1. Formulas and algebraic expressions - Factorization and multiplication
Chapter 2. Function, domain and codomain - Words, expressions, tables and ordinary/digital graphs
Chapter 3. Function values - Digital/graphical solving and equations f(x) = a
Chapter 4. Linear function - Properties, equation of straight line and determining
Chapter 5. Linear equations - Solving
Chapter 6. Interval and linear inequality - Methods for solving
Chapter 7. Exponential function - Properties and differences/similarities compared to linear functions
Chapter 8. Operations with powers - Justification, application and solving
Chapter 9. Power functions
Chapter 10. Change factor - Calculation in multiple steps
Statistics and probability
Chapter 11. Index
Chapter 12. Independent, dependent and complementary events - Probabilities, games of chance and risk and safety
Chapter 13. Statistical concepts - Significance, correlation, causality, sources of error and sampling methods
Digital tools
Chapter 14. Spreadsheet software - Interest and principal repayments
Chapter 15. Digital tools - Streamline calculations and complement methods in problem solving and solving equations
Problem solving and application
Chapter 16. General relationships - Discovering and expressing
Chapter 17. Sustainable development - Critically examine facts and claims
Chapter 18. Mathematical models - Application, formulation, evaluation, properties and limitations
Chapter 19. History - Development of a concept, role in a event, significant figure or a historical problem
Mathematics 1c
Algebra, arithmetic and functions
Chapter 1. Formulas and algebraic expressions - Factorization and multiplication
Chapter 2. Function, domain and codomain - Words, function expressions, tables and ordinary/digital graphs
Chapter 3. Function values - Digital/graphical equation solving, f(x) = a
Chapter 4. Linear functions - Properties, determining and equation of straight line
Chapter 5. Linear equations - Solving
Chapter 6. Interval and linear inequality - Solving
Chapter 7. Exponential functions - Properties and differences/similarities to linear functions
Chapter 8. Powers - Justification, application and solving
Chapter 9. Power functions
Chapter 10. Change factor - Calculation in multiple steps
Trigonometry and vectors
Chapter 11. Sine, cosine and tangent - Distances, angles in coordinate systems and in right-angled triangles
Chapter 12. Vectors - Coordinate systems and in coordinate form, addition, subtraction, magnitude and scalar multiplication
Statistics and probability
Chapter 13. Independent, dependent and complementary events - Probabilities and games of chance, risk and safety assessments
Chapter 14. Statistical concepts - Significance, correlation, causality, sources of error and sampling methods
Digital tools
Chapter 15. Spreadsheet software - Interest and principal repayments
Chapter 16. Digital tools - Streamline calculations, solving equations and problem solving
Chapter 17. Programming - Tool for problem solving, data processing or application of numerical methods
Problem solving
Chapter 18. Problem solving - Discovering and expressing general relationships
Chapter 19. Sustainable development - Critically examine facts and claims
Chapter 20. Models - Application, formulation, evaluation and limitations
Chapter 21. History - Development of a concept, role in a historical event, significant figure or a historical mathematical problem
Natural Science 1b
Development and nature
Chapter 1. Ecosystem - Resilience, biodiversity, resource use and ecosystem services
Chapter 2. Sustainable development - Energy, climate, consumption and production
Chapter 3. Sustainable product development - Raw materials, chemical processes, waste management and energy consumption
Health and human Body
Chapter 4. The human body's need - Nutrients, energy, recovery, exercise, stress and substance abuse
Chapter 5. Sexuality and sexual health - Relationships, identity and consent
Chapter 6. Global health - Living conditions, geographical factors and public health statistics
Chapter 7. Getics - Cells, individuals, evolutionary aspects, genetic engineering, biotechnology and ethics
In the World Around Us
Chapter 8. Significance of natural science - Historical/current events and individuals/society
Chapter 9. Ethical issues
Chapter 10. The workplace
Working methods
Chapter 11. Field studies, laboratory work and simulations - Formulating questions, planning, risk, evaluation and reporting
Chapter 12. Examination of information and arguments - Distinction between scientific and non scientific claims
Natural Science 2
Development and nature
Chapter 1. The origin and cycling of matter - Organic/inorganic substances in nature/industry and affect the environment
Health and human body
Chapter 2. The body's regulation and organ systems - Nervous, endocrine and immune systems
Chapter 3. Physical/mental health - Preventive measures, treatments and medications
Chapter 4. Speciation and comparative anatomy - Evolutionary perspective
Chapter 5. Cell biology and living organisms in biotechnology - Algae, bacteria and fungi
In the World Around Us
Chapter 6. Significance of natural science - Historical/current events and individuals/society
Chapter 7. Ethical issues - Biotechnology
Working methods
Chapter 8. Field studies, laboratory work and simulations - Formulating questions, planning, risk, evaluation and reporting
Chapter 9. Examination of information and arguments - Distinction between scientific and non scientific claims
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