Yearly Plan Mathematics T 2013

Mathematics (T) (954) Masyati binti Karim

SMK DATO’ JAAFAR, JOHOR BAHRUYEARLY PLAN FOR FIRST TERM 2013

MATHEMATICS (T) (954)

FIRST TERM: ALGEBRA AND GEOMETRY

Week Topic Teaching Period Learning Outcome Activities

18 Orientation Pre-U Term 1 (8/5/2012 – 18/5/2012)1920

(21/5 - 25/5)

Introduction to Mathematics (T) (954)

8 Candidates should be able to:(a) revise the previous lesson (add math

form 4 & 5);(b) understand the syllabus for Mathematics

(T) (954)Cuti Pertengahan Tahun (26/5/2012 - 10/6/2012)

Cuti Hari Keputeraan Duli Yang Maha Mulia Seri Paduka Baginda Yang Dipertuan Agong (2/6/2012)21

(11/6 - 15/6)

1 Functions1.1 Functions

1.2 Polynomial and rational functions

6

2

Candidates should be able to:(a) state the domain and range of a function,

and find composite functions;(b) determine whether a function is one-to-

one and find the inverse of one-to-one function;

(c) sketch the graphs of simple functions, including piecewise-defined functions;

(d) use the factor theorem and the remainder theorem;

Plot graphs with computers, hand-phones & calculators

22

(18/6 - 22/6)

1.2 Polynomial and rational functions

1.3 Exponential and logarithmic functions

6

2

(e) solve polynomial and rational equations and inequalities;

(f) solve equations and inequalities involving modulus signs in simple cases;

(g) decompose a rational expression into partial fractions in cases where the denominator has two distinct linear factors, or a linear factor and a prime quadratic factor;

(h) relate exponential and logarithmic functions, algebraically and graphically;

Search for e and its use.

23

(25/6 - 29/6)

1.3 Exponential and logarithmic functions

1.4 Trigonometric functions

4

4

(i) use the properties of exponents and logarithms;

(j) solve equations and inequalities involving exponential or logarithmic expressions.

(k) relate the periodicity and symmetries of the sine, cosine and tangent functions to their graphs, and identify the inverse sine, inverse cosine and inverse tangent functions and their graphs;

24

(2/7 - 6/7)

1.4 Trigonometric functions

8 (l) use basic trigonometric identities and the formulae for sin (A ± B), cos (A ± B) and tan (A ± B), including sin 2A, cos 2A and tan 2A;

(m)express a sin θ + b cos θ in the forms r sin (θ ± α) and r cos (θ ± α);

(n) find the solutions, within specified

Use some software on trigonometric identities.

1


intervals, of trigonometric equations and inequalities.

25

(9/7 - 13/7)

2 Sequences and Series2.1 Sequences

2.2 Series

4

4

Candidates should be able to:(a) use an explicit formula and a recursive

formula for a sequence;(b) find the limit of a convergent sequence;

(c) use the formulae for the nth term and for the sum of the first n terms of an arithmetic series and of a geometric series;

(d) identify the condition for the convergence of a geometric series, and use the formula for the sum of a convergent geometric series;

26

(16/7 - 20/7)

2.2 Series

2.3 Binomial expansions

4

4

(e) use the method of differences to find the nth partial sum of a series, and deduce the sum of the series in the case when it is convergent;

(f) expand , where ;(g) expand , where , and

identify the condition for the validity of this expansion;

(h) use binomial expansions in approximations.

Cuti Awal Ramadan (21/7/2012)

27

(23/7 - 27/7)

6 Vectors6.1 Vectors in two and three dimensions

8 Candidates should be able to:(a) use unit vectors and position vectors;(b) perform scalar multiplication, addition

and subtraction of vectors;(c) find the scalar product of two vectors,

and determine the angle between two vectors;

(d) find the vector product of two vectors, and determine the area a parallelogram and of a triangle;

Some applications of dot product in applied science.

28

(30/7 - 3/8)

6.2 Vectors geometry 8 (e) find and use the vector and Cartesian equations of lines;

(f) find and use the vector and Cartesian equations of planes;

Some interesting 3D problem solved by vectors.

29

(6/8 - 10/8)

6.2 Vectors geometry 8 (g) calculate the angle between two lines, between a line and a plane, and between two planes;

(h) find the point of intersection of two lines, and of a line and a plane;

(i) find the line of intersection of two planes.

Ujian 2 (7/8/2012)

30

(13/8 - 17/8)

CourseworkBriefing on coursework

Facilitating coursework

2

6

Candidates should be able to:(a) plan to carry out Assignment A,(b) raise possible problems faced,(c) revise ‘resultant velocity’, if necessary.

(a) carry out assignment,

Teacher gives briefing and guideline.

Students carry 2


proper. out assignment A. Teacher acts as adviser, observer, and facilitator.

Cuti Pertengahan Penggal 2 (18/8/2012 - 26/8/2012)Cuti Hari Raya Aidilfitri (19/8/2012 - 20/8/2012)

31

(27/8 - 31/8)

Facilitating coursework proper.

Submission of coursework

8 (b) refer to relevant sources related to the assignment,(c) seek advice and reasonable aids related

to the assignment,

(a) complete assignment report

Students carry out assignment A. Teacher acts as adviser, observer, and facilitator.Teacher assesses assignment report and conducts viva.Cuti Hari Kebangsaan (31/8/2012)

32

(3/9 - 7/9)

3 Matrices 3.1 Matrices

8 Candidates should be able to:(a) identify null, identify, diagonal,

triangular and symmetric matrices;(b) use the conditions for the equality of

two matrices;(c) perform scalar multiplication, addition,

substraction and multiplication of matrices with at most three rows and three columns;

(d) use the properties of matrix operations;33

(10/9 - 14/9)

3.1 Matrices

3.2 Systems of linear

4

4

(e) find the inverse of a non-singular matrix using elementary row operations;

(f) evaluate the determinant of a matrix;(g) use the properties of determinants;

(h) reduce an augmented matrix to row-echelon form, and determine whether a system of linear equations has a unique solution, infinitely many solutions or no solution;

(i) apply the Gaussian elimination to solve a system of linear equations;

(j) find the unique solution of a system of linear equations using the inverse of a matrix.

Cuti Hari Malaysia (16/9/2012)

34

(17/9 - 21/9)

4 Complex Numbers4.1 Complex numbers

8 Candidates should be able to:(a) identify the real and imaginary parts of a complex number;(b) use the conditions for the equality of

two complex numbers;(c) find the modulus and argument of a

complex number in Cartesian form and express the complex number in polar form;

(d) represent a complex number geometrically by means of an Argand

3


diagram;35

(24/9 - 28/9)

4.1 Complex numbers

8 (e) find the complex roots of a polynomial equation with real coefficients;(f) perform elementary operations on two

complex numbers expressed in Cartesian form;

(g) perform multiplication and division of two complex numbers expressed in polar form;

(h) use de Moivre’s theorem to find the powers and roots of a complex number.

36

(1/10 - 5/10)

5 Analytic Geometry5.1 Analytic geometry

8 Candidates should be able to:(a) transform a given equation of a conic into the standard form;(b) find the vertex, focus and directrix of a parabola;(c) find the vertices, centre and foci of an ellipse;(d) find the vertices, centre, foci and asymptotes of a hyperbola;

37

(8/10 - 12/10)

5.1 Analytic geometry

8 (e) find the equations of parabolas, ellipses and hyperbolas satisfying prescribed conditions (excluding eccentricity);

(f) sketch conics;(g) find the Cartesian equation of a conic defined by parametric equations;(h) use the parametric equations of conics.

38

(15/10 - 19/10)

Revision/Exercises/Tutorial

39

(22/10 - 26/10)

Study week

40

(29/10 - 2/11)

Study week

41

(5/11 - 9/11)

PEPERIKSAAN STPM BAHARU SEMESTER 1(5/11/2012 - 8/11/2012)

Cuti Akhir Persekolahan

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Documents

Yearly Plan Mathematics T 2013