SMK SERI BANDAR PONTIAN

SEMESTER PLAN

FOR

MATHEMATICS T

THIRD TERM

YEAR 2015

YEARLY PLAN FOR MATHEMATICS T 954 (PRAU 3 2015)

THIRD TERM: STATISTICS

Week

Topic

Learning Outcome

Activities

Note

Pedagogy

13 Data Description

Candidates should be able to:

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13 Data Description

1. identify discrete, continuous, ungrouped and grouped data;

2. construct and interpret stem-and-leaf diagrams, box-and-whisker plots, histograms and cumulative frequency curves;

3. state the mode and range of ungrouped data;

4. determine the median and interquartile range of ungrouped and grouped data;

5. calculate the mean and standard deviation of ungrouped and grouped data, from raw data and from given totals such as

6. select and use the appropriate measures of central tendency and measures of dispersion;

7. calculate the Pearson coefficient of skewness;

8. describe the shape of a data distribution.tate the domain and range of a function, and find composite functions;

1. Revising the concept of statistic in SPM.

2. Teacher gives some examples, exercises and discussion.

Obeying the law

Carefulness

Rationality

Honesty

Diligence

Determinations

Cleanliness

Patience

Responsibility

Directive

Mastery

Metacognitive

14 Probability

Candidates should be able to:

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14 Probability

1. apply the addition principle and the multiplication principle;

2. use the formulae for combinations and permutations in simple cases;

3. identify a sample space, and calculate the probability of an event;

4. identify complementary, exhaustive and mutually exclusive events;

5. use the formula P(A B) = P(A) + P(B) P(A B);

6. calculate conditional probabilities, and identify independent events;

7. use the formulae P(A B) = P(A) P(B|A) = P(B) P(A|B);

8. use the rule of total probability.

1. Revising the concepts of probability in SPM.

2. Teacher gives some examples, exercises and discussion.

Week

Topic

Learning Outcome

Activities

Note

Pedagogy

15 Probability

Distributions

Candidates should be able to:

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15.1 Discrete random variables

1. identify discrete random variables;

2. construct a probability distribution table for a discrete random variable;

3. use the probability function and cumulative distribution function of a discrete random variable;

4. calculate the mean and variance of a discrete random variable;

1. Introducing the concepts of discrete distribution.

2. Teacher gives some examples, exercises and discussion.

Obeying the law

Carefulness

Rationality

Honesty

Diligence

Determinations

Cleanliness

Patience

Responsibility

Directive

Mastery

Metacognitive

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15.2 Continuous random variables

1. identify continuous random variables;

2. relate the probability density function and cumulative distribution function of a continuous random variable;

3. use the probability density function and cumulative distribution function of a continuous random variable;

4. calculate the mean and variance of a continuous random variable;

1. Introducing the concepts of continuous distribution.

2. Teacher gives some examples, exercises and discussion.

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15.3 Binomial distribution

1. use the probability function of a binomial distribution, and find its mean and variance;

2. use the binomial distribution as a model for solving problems related to science and technology;

1. Introducing the Binomial distribution.

2. Teacher gives some examples, exercises and discussion.

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15.4 Poisson distribution

1. use the probability function of a Poisson distribution, and identify its mean and variance;

2. use the Poisson distribution as a model for solving problems related to science and technology;

1. Introducing the concepts of Poisson distribution.

2. Teacher gives some examples, exercises and discussion.

Week

Topic

Learning Outcome

Activities

Note

Pedagogy

30

15.5 Normal distribution

1. identify the general features of a normal distribution, in relation to its mean and standard deviation;

2. standardise a normal random variable and use the normal distribution tables;

3. use the normal distribution as a model for solving problems related to science and technology;

4. use the normal distribution, with continuity correction, as an approximation to the binomial distribution, where appropriate.

1. Introducing the concepts of Normal distribution.

2. Teacher gives some examples, exercises and discussion.

Obeying the law

Carefulness

Rationality

Honesty

Diligence

Determinations

Cleanliness

Patience

Responsibility

Directive

Mastery

Metacognitive

31

UJIAN PERTENGAHAN PENGGAL 3 27/7/2015 28/7/2015

16 Sampling and Estimation

Candidates should be able to:

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16.1 Sampling

1. distinguish between a population and a sample, and between a parameter and a statistic;

2. identify a random sample;

3. identify the sampling distribution of a statistic;

4. determine the mean and standard deviation of the sample mean;

5. use the result that X has a normal distribution if X has a normal distribution;

6. use the central limit theorem;

7. determine the mean and standard deviation of the sample proportion;

8. use the approximate normality of the sample proportion for a sufficiently large sample size;

1. Introducing the sampling.

2. Teacher gives some examples, exercises and discussion.

Week

Topic

Learning Outcome

Activities

Note

Pedagogy

32 34

16.2 Estimation

1. calculate unbiased estimates for the population mean and population variance;

2. calculate an unbiased estimate for the population proportion;

3. determine and interpret a confidence interval for the population mean based on a sample from a normally distributed population with known variance;

4. determine and interpret a confidence interval for the population mean based on a large sample;

5. find the sample size for the estimation of population mean;

6. determine and interpret a confidence interval for the population proportion based on a large sample;

7. find the sample size for the estimation of population proportion.

1. Introducing the estimation.

2. Teacher gives some examples, exercises and discussion.

Obeying the law

Carefulness

Rationality

Honesty

Diligence

Determinations

Cleanliness

Patience

Responsibility

Directive

Mastery

Metacognitive

17 Hypothesis Testing

Candidates should be able to:

35

17 Hypothesis Testing

1. explain the meaning of a null hypothesis and an alternative hypothesis;

2. explain the meaning of the significance level of a test;

3. carry out a hypothesis test concerning the population mean for a normally distributed population with known variance;

4. carry out a hypothesis test concerning the population mean in the case where a large sample is used;

5. carry out a hypothesis test concerning the population proportion by direct evaluation of binomial probabilities;

6. carry out a hypothesis test concerning the population proportion using a normal approximation.

1. Introducing the hypothesis testing.

2. Teacher gives some examples, exercises and discussion

Week

Topic

Learning Outcome

Activities

Note

Pedagogy

18 Chi-squared Tests

Candidates should be able to:

36

18 Chi-squared Tests

1. explain the meaning of a null hypothesis and an alternative hypothesis;

2. explain the meaning of the significance level of a test;

3. carry out a hypothesis test concerning the population mean for a normally distributed population with known variance;

4. carry out a hypothesis test concerning the population mean in the case where a large sample is used;

5. carry out a hypothesis test concerning the population proportion by direct evaluation of binomial probabilities;

6. carry out a hypothesis test concerning the population proportion using a normal approximation.

1. Introducing the Chi-squared tests.

2. Teacher gives some examples, exercises and discussion

Obeying the law

Carefulness

Rationality

Honesty

Diligence

Determinations

Cleanliness

Patience

Responsibility

Directive

Mastery

Metacognitive

Coursework

Candidates should be able to:

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Briefing on coursework

Facilitating coursework proper.

Facilitating coursework proper.

Submission of coursework

1. plan to carry out Assignment C,

2. raise possible problems faced,

3. revise resultant velocity, if necessary.

4. carry out assignment,

5. refer to relevant sources related to the assignment,

6. seek advice and reasonable aids related to the assignment,

7. complete assignment report

1. Teacher gives briefing and guideline.

2. Students carry out assignment C. Teacher acts as adviser, observer, facilitator.

3. Students carry out assignment C.

4. Teacher acts as adviser, observer, facilitator.

5. Teacher assesses assignment report and

conducts viva.

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CUTI PERTENGAHAN PENGGAL (18/9/2015 26/9/2015)

40

UJIAN PRA PENTAKSIRAN STPM PENGGAL 3 (28/9/2015 1/10/2015)

Week

Topic

Learning Outcome

Activities

Note

Pedagogy

Revision

Candidates should be able to:

41

13 Data Description

14 Probability

7. To reinforce and consolidate the knowledge and skills which students have learned.

8. To expose students to the types of real STPM examination questions.

1. Revision, solving passed years examination questions , solving additional questions from reference books.

2. Doing exercises and discussing the techniques of solving problems.

Responsibility

Cooperation

Determinations

Diligence

Carefulness

Cooperative

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15 Probability

Distributions

16 Sampling and Estimation

1. To reinforce and consolidate the knowledge and skills which students have learned.

2. To expose students to the types of real STPM examination questions.

1. Revision, solving passed years examination questions , solving additional questions from reference books.

2. Doing exercises and discussing the techniques of solving problems.

43

17 Hypothesis Testing

18 Chi-squared Tests

1. To reinforce and consolidate the knowledge and skills which students have learned.

2. To expose students to the types of real STPM examination questions.

1. Revision, solving passed years examination questions , solving additional questions from reference books.

2. Doing exercises and discussing the techniques of solving problems.

Week

Topic

Learning Outcome

Activities

Note

Pedagogy

44 45

13 Past Year Papers

1. To answer the questions in Paper 3 with confident.

1. Doing exercise on Past Year Papers, model Paper, Trial Examination Papers from other States. Discussion.

Responsibility

Cooperation

Determinations

Diligence

Carefulness

Cooperative

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PEPERIKSAAN STPM PENGGAL 3 (2/11/2015 9/11/2015)

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CUTI AKHIR TAHUN (20/11/2015 2/1/2016)

PREPARED BY TAN CHIN HUAT