3.2 Infer probabilities from experiments for events which cannot be predicted theoretically 3.3 Identify, describe and give examples of mutually exclusive and independent events 3.4 Determine the probability of compound events the addition and multiplication principles 3.5 Define, explain and distinguish between permutations and combinations and evaluate them 3.6 Determine the probability of events permutations and combinations 4 analytical and applied 4.1 Define and explain the probability density function for a probability distribution continuous random variable in terms of the distribution problems function 4.2 Describe the importance, occurrence, properties and use of the normal distribution model 4,3 Use tables and/or calculator to determine probabilities and solve problems where the variable is normally distributed 4.4 Interpret particular normal distributions 5 Interpret the concept of 5.1 Determine the derivative of a polynomial, giving the derivative graphically and as a instantaneous rate of change of a quantity at a time t, rate of change first principles or approximating graphically 5.2 Determine the derivative of a polynomial, giving the instantaneous rate of change of a quantity at a time t, rule’ ‘the 5.2 Apply the process of differentiation of a function to solve problems in applied areas where the derivative has a meaning, including cases where there is a zero rate of change REQUIRED SKILLS AND KNOWLEDGE This describes the essential skills and knowledge and their level, required for this unit. Knowledge of: Statistics - Relationships between Variables - bivariate data, scatter diagrams, linear relationship trend, calculation of r, with and without a calculator, properties of r; estimate from scatter diagram, lines of "best fit", regression line equations and predictions, practical problems using correlation and regression Properties of Sets - set notation and terminology, Venn diagrams, properties of set operations: commutative, associative, distributive, de Morgans laws, equivalence, applications Elementary Probability - definition of probability of an theoretical and relative frequency, Venn diagrams of events, sample spaces, complementary and compound events, addition and
3.2 Infer probabilities from experiments for events which cannot be predicted theoretically 3.3 Identify, describe and give examples of mutually exclusive and independent events 3.4 Determine the probability of compound events the addition and multiplication principles 3.5 Define, explain and distinguish between permutations and combinations and evaluate them 3.6 Determine the probability of events permutations and combinations 4 analytical and applied probability distribution problems 4.1 Define and explain the probability density function for a continuous random variable in terms of the distribution function 4.2 Describe the importance, occurrence, properties and use of the normal distribution model 4,3 Use tables and/or calculator to determine probabilities and solve problems where the variable is normally distributed 4.4 Interpret particular normal distributions 5 Interpret the concept of derivative graphically and as a rate of change 5.1 Determine the derivative of a polynomial, giving the instantaneous rate of change of a quantity at a time t, first principles or approximating graphically 5.2 Determine the derivative of a polynomial, giving the instantaneous rate of change of a quantity at a time t, ‘the rule’ 5.2 Apply the process of differentiation of a function to solve problems in applied areas where the derivative has a meaning, including cases where there is a zero rate of change REQUIRED SKILLS AND KNOWLEDGE This describes the essential skills and knowledge and their level, required for this unit. Knowledge of: Statistics - Relationships between Variables - bivariate data, scatter diagrams, linear relationship trend, calculation of r, with and without a calculator, properties of r; estimate from scatter diagram, lines of "best fit", regression line equations and predictions, practical problems using correlation and regression Properties of Sets - set notation and terminology, Venn diagrams, properties of set operations: commutative, associative, distributive, de Morgans laws, equivalence, applications Elementary Probability - definition of probability of an theoretical and relative frequency, Venn diagrams of events, sample spaces, complementary and compound events, addition and
curr22219VIC-22220VIC_science.docx