Sai Kung Sung Tsuncatholicschool(Secondary Section)

SAI KUNG SUNG TSUNCATHOLICSCHOOL(SECONDARY SECTION)

S. 6MATHEMATICS(M1) TEACHING SYLLABUS (2016-2017)

Topics to be taught ( 18weeks )

11. Discrete Random Variables

11.1 Discrete Random Variable

11.2 Probability Function

11.3 Probability Distribution of Discrete Random Variable

A.Frequency distribution and probability distribution

B.Representation of probability distribution

11.4 Expectation and Variance

A.Expectation

B.Variance

11.5 E(aXb) and Var(aXb)

12. Discrete Probability Distributions

12.1 The Bernoulli Distribution

A.The Bernoulli distribution

B.Mean and variance of the Bernoulli distribution

12.2 The Binomial Distribution

A.Concept of the binomial distribution

B.Probability function of a binomial variable

C.Mean and variance of the binomial distribution

12.3 The Geometric Distribution

A.Concept of the geometric distribution

B.Probability function of a geometric variable

C.Mean and variance of the geometric distribution

12.4 The Poisson Distribution

A.Concept of the Poisson distribution

B.Probability function of a Poisson variable

C.Mean and variance of the Poisson distribution

12.5 Choosing an Appropriate Discrete Probability Distribution

13.Continuous Random Variables and Normal Distribution

13.1 Probability Distributions of Continuous Random Variables

A.Continuous random variables

B.Probability distributions of continuous random variables

C.Expectation and variance

13.2 Normal Distribution

A.Concepts of normal variables and normal distribution

B.Properties of the normal distribution

13.3 Calculations of Probabilities under Normal Distribution

A.Probabilities under standard normal distribution N(0,1)

B.Probabilities under normal distribution N(,2)

13.4 Applications of Normal Distribution

14.Parameter Estimation

14.1 Concept of Statistical Inference

A.Populations and samples

B.Population parameters and sample statistics

C.Simple random sampling

14.2 Sampling Distribution

A.Concept of sampling distribution

B.Sampling distribution of

14.3Sampling Distribution for the Sample Proportion

A.Concepts of the population proportion and sample proportion

B.Sampling distribution of pS

14.4Point Estimation

A.Concept of estimators

B.Estimating the mean and variance of a population

C.Estimating the population proportion

D.Unbiased estimators

14.5 Concept of Interval Estimation

A.Interval estimation

B.Confidence interval and confidence level

14.6 Confidence Interval for the Population Mean

A.Normal population

B.Non-normal population

14.7 Confidence Interval for the Population Proportion

MOCK EXAMINATION

S.6MATHEMATICS(M1) ASSESSMENT SYSTEM：

Daily Assessment (50%) + MockExam (50%) =Annual Result (100%)

Daily Assessment (100%)

= ChapterTests/ IntegratedTests/Quizzes(50%) + Uniform Test(20%)

+ Assignments/Homework(10%) + Classwork(10%)+Attitude(10%)

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S.6 Mathematics(M1) Teaching Syllabus (2016– 2017)