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DOKUMEN STANDARD PRESTASI MATEMATIK TINGKATAN 2

MATHEMATICS SYLLABUS FOR SECONDARY SCHOOL

PEMETAAN DSP MATEMATIK TINGKATAN 2

RANCANGAN TAHUNAN MATEMATIK TINGKATAN 2- 2013

RANCANGAN TAHUNAN MATEMATIK TINGKATAN 3- 2013

RPH MINGGU 1 – 3 (02.01.13 – 18.01.13)

RPH MINGGU 10 – 12 (04.03.13 – 22.03.13)

RPH MINGGU 14 – 15 (01.04.13 – 12.04.13)

RPH MINGGU 16 – 17 (15.04.13 – 26.04.13)

RPH MINGGU 18 – 19 (29.04.13 – 03.04.13)

RPH MINGGU 20 – 21 (13.05.13 – 24.05.13)

RPH MINGGU 24 – 25 (10.06.13 – 21.06.13)

RPH MINGGU 26 – 27 (24.06.13 – 05.07.13)

RPH MINGGU 28 – 29 (08.07.13 – 19.07.13)

RPH MINGGU 30 – 31 (22.07.13 – 02.08.13)

RPH MINGGU 32 – 34 (08.08.13 – 23.08.13)

RPH MINGGU 35 – 36 (26.08.13 – 06.09.13)

RPH MINGGU 37 – 38 (09.09.13 – 20.09.13)

RPH MINGGU 39 – 40 (23.09.13 – 04.10.13)

RPH MINGGU 4 – 6 (21.01.13 – 07.02.13)

RPH MINGGU 41 – 42 (07.10.13 – 18.10.13)

RPH MINGGU 43 – 44 (21.10.13 – 01.11.13)

RPH MINGGU 45 – 46 (04.11.13 – 15.11.13)

RPH MINGGU 7 – 9 (11.02.13 – 02.03.13)

SURAT AKU JANJI

RANCANGAN TAHUNAN MATEMATIK TINGKATAN 3- 2013Week/Date

Learning Objectives Learning Outcomes Remarks

1

4 – 5 JanIntroduction to Mathematics Form 3

1 – 2

6 – 15 Jan

1  LINES AND ANGLES IIStudents will be taught to:1.1  Understand and

Students will be able to:i.  Identify:

1. transversals2. corresponding angles3. alternate angles

use properties of  angles associated with transversal and parallel lines.

4. interior angles

ii.  Determine that for parallel lines:

a)      corresponding angles are equal

b)      alternate angles are equal

c)      sum of interior angles is 1800

iii.  Find the values of:

a)      corresponding angles

b)      alternate angles

c)      interior angles

associated with parallel lines.

iv.  Determine if two given lines are parallel based on the     properties of angles associated with transversals.

v.  Solve problems involving properties of angles associated with transversals.

 3

16 – 22 Jan

 

2  POLYGONS II Students will be taught to:

2.1  Understand the concept of regular polygon.

2.2  Understand and use the knowledge of exterior and interior angles of polygons.

 

Students will be able to:i.  Determine if a given polygon is a regular polygon.

ii.  Find:

(a)          the axes if symmetry

(b)         the number of axis of a symmetry

of a polygon.

iii.  Sketch regular polygons

iv.  Draw regular polygons by dividing equally the angle at the centre.

v.  Construct equilateral triangles, squares and regular hexagons.

i.  Identify the interior angles and exterior angles of a polygon.

ii. Find the size of an exterior angle

when the interior angle of a polygon is given and vice versa.

iii.  Determine the sum of the interior angles of polygons.

iv.  Determine the sum of the exterior angles of polygons.

v.  Find:

a.          the size of an interior angle of a regular polygon given the number of sides.

b.          the size of an exterior angle of a regular polygon given the number of sides.

c.           the number of sides of a regular polygon given the size of the interior or exterior angle.

vi.  Solve problems involving angles and sides of polygons.

 

4

23 – 29 Jan   Chinese New Year

Cuti peristiwa1Cuti ganti 1Cuti ganti 2

 5 – 6

30 Jan –

11 Feb

3  CIRCLES II 3.1  Understand and use properties of circles involving, symmetry, chords and arcs

3.2  Understand and use properties of angles in circles.

3.3  Understand and use the concept of cyclic quadrilaterals

 

i.  Identify a diameter of a circle as an axis of symmetryii.  Determine that:

a)   a radius that is perpendicular to a chord divides the chord into two equal parts and vice versa.

b)  Perpendicular bisectors of two chord intersect at the centre.

c)   Two chords that are equal in length are equidistant from the centre and vice versa.

d)  Chords of the same length cut arcs of the same length

iii.  Solve problems involving symmetry, chords and arcs of circles.

i.  Identify angles subtended by an arc at the centre and at the

6 Feb- Cuti Maulid11 Feb- Sabtu Ganti 1 

circumference of a circle.

ii. Determine that the angles subtended at the circumference by the same arc are equal.

iii.  Determine that the angles subtended:

a.      at the circumference

b.      at the centre

c.      by arcs of the same length are equal.

iv.  Determine the relationship between the angles at the centre and the angle at the circumference subtended by an arc.

v.  Determine the size of an angle subtended at the circumference in a semicircle.

vi.   Solve problems involving angles subtended at the centre and angles at the circumference of circles.

i.  Identify cyclic quadrilaterals.

ii.  Identify the interior opposite angles of cyclic quadrilaterals.

iii.  Determine the relationship between interior opposite angles of cyclic quadrilaterals.

iv.  Identify exterior angles and the corresponding interior opposite angles of cyclic quadrilaterals

v.  Determine the relationship between exterior angles and the corresponding interior opposite angle of cyclic quadrilaterals.

vi.  Solve problems involving angles of cyclic quadrilaterals

vii.  Solve problems involving circles.

 7 – 8 4 STATISTICS

II4.1 Represent i.    Obtain and interpret information from pie charts.ii.   

13 – 26 Feb

and interpret data in pie charts to solve problems.4.2  Understand and use the concept of mode, median and mean to solve problems.

 

Construct pie charts to represent data.

iii.    Solve problems involving pie charts.

iv.    Determine suitable representation of data.

i.        Determine the mode of:

a.        sets of data

b.       data given in frequency tables

ii.Determine the mode and the respective frequency from pictographs, bar charts, line graphs and pie charts.

iii.    Determine the median for sets of data.

iv.              Determine the median of data in frequency tables.

v.      Calculate the mean of :

a.        sets of data

b.       data in frequency tables.

vi.               Solve problems involving mode, median and mean.

9 – 10

27 Feb – 11 Mac

5  INDICES5.1 Understand the     concept of indices.5.2 Perform computations involving multiplications of numbers in Index notation.

5.3. Perform     computation involving        division of numbers in index notation.

5.4. Perform computations involving raising numbers and algebraic terms

i.        Express repeated multiplication as an and vice versa.ii.      Find the value of an.

iii.    Express numbers in index notation.

i.            Verify

ii.      Simplify multiplication of:

a)  numbers.

b)  algebraic terms

expressed in Index notation with he same base.

iii.    Simplify multiplication of:

a)  numbers

3 Mac – Sabtu Ganti 2

in index notation to a power.

5.5.  Perform computations         involving negative indices.

5.6.  Perform computations         involving fractional         indices.

5.7. Perform computation        involving laws of indices.

 

b)  algebraic terms

expressed in Index notation with different bases.

1.  Verify

ii.   Simplify division of:

a)  numbers

b) algebraic terms

expressed  in index notation with the same base.

i.     Derive

ii.     Simplify:

a)  numbers

b)  algebraic terms

expressed in index notation raised to a power.

iii.     Simplify multiplication and division of:

a)  numbers

b) algebraic terms

expressed in index notation with different bases raised to a power.

iv.     Perform combined operations involving multiplication, division, and raised to a power on:

a)  numbers

b)  algebraic terms.

i.   Verify

ii.   State   and  vice versa.

iii.   Perform combined operations of multiplication, division and raising to a power involving negative indices on:

a) numbers

b) algebraic terms.

i.     Verify

ii.     State    and vice versa.

iii.     Find the value of

iv.     State   as:

a)

b)

v.     Perform combined operations of multiplications, divisions and raising to a power involving fractional indices on :

a)  numbers

b)  algebraic terms

vi.     Find the value of  .

i.     Perform multiplication, division, raised to a power or combination of these operations on several numbers expressed in index notation.

ii.     Perform combined operations of multiplication, division and raised to a power involving positive, negative and fractional indices.

10

5 – 11 Mac                     Ujian Bulanan 1

Week 11 – Mid  Semester 1 Holiday     (12 – 18  Mac 2012)

Week/DateLearning

Objectives Learning Outcomes Remarks12 – 13

19Mac – 1 Apr

6  ALGEBRAIC EXPRESSIONS III6.1. Understand and use the concept of expanding brackets.6.2  Understand and use the concept of factorization of

i.     Expand single brackets.ii.     Expand two brackets.

i.     State factors of an algebraic term.

ii.     State common factors and the HCF for several algebraic

algebraic expressions to solve problems.

6.3.  Perform addition and subtraction on algebraic fractions.

6.4. Perform multiplication and division on algebraic fractions.

 

terms.

iii.     Factorise algebraic expressions:

a)  using common factor

b)  the difference of two squares.

iv.     Factorise and simplify algebraic fractions.

i.   Add or subtract two algebraic fractions with the same denominator.

ii.   Add or subtract two algebraic fractions with one denominator as a multiple of the other denominator.

iii.   Add or subtract two algebraic fractions with denominators:

a) without any common factor

b) with a common factor.

i.     Multiply to algebraic fractions involving denominator with:

a) one term

b) two terms

ii.     Divide two algebraic fractions involving denominator with:

a) one term

b) two terms

iii.   Perform multiplication and division of two algebraic fractions using factorization involving common factors and the difference of two squares.

14 -15

2 –15 Apr

7  ALGEBRAIC FORMULA7.1 Understand the concept of variables and constant7.2

i.      Determine if a quantity in a given situation is a variable or a constant.ii.      Determine the variable in a given situation and represent it with a letter symbol

6 Apr – Good Friday9 Apr -Cuti peristiwa 214 Apr-

Understand the concept of formulae to solve problems.

 

iii.Determine the possible valuesof a variable in a given situation

i.      Write a formula based on a given:

a.       Statement

b.      Situation

ii.     Identify the subject of a given formula

iii.  Express a specified variable as the subject of a formula involving:

a)      one of the basic operation: +,-,x ,/

b)      powers or root

c)      combination of the basic operations and powers or roots

iv.  Find the value of a variable when it is:

a)  the subject of the formula

b)  not the subject of the formula

v.  Solve problems involving formulae.

Sabtu Ganti 3

 16 – 17

16 – 29Apr

8  SOLID GEOMETRY III8.1 Understand and use the concept of volume of right prisms and circular cylinders to solve problems.8.2 Understand and use the concept of volume of right pyramids and right circular cones to solve problems.

8.3 Understand and use the concept of volume of sphere to solve problems.

i.  Derive the formula for volume of:a)      Prisms

b)      Cylinders

ii.  Calculate the volume of right prism in cubic units given the height and:

a)      the area of the base

b)      dimensions of the base

iii.      Calculate the height of a prism given the volume and  the area of the base

iv.  Calculate the area of the base of a prism given the

6 Apr – Good Friday9 Apr -Cuti peristiwa 214 Apr-

Sabtu Ganti 3

8.4 Apply the concept of volume to solve problems involving composite solids.

 

volume and the height

v.   Calculate the volume of a cylinder in cubic units given:

a.       area of the base and the height

b.      radius of the base and the height

of the cylinders

vi.  Calculate the height of  a cylinder given the volume and the radius of the base

vii.     Calculate the radius of the base of a cylinder given the volume and the height

viii.     Convert volume in one metric unit to another

a.       mm³,cm³ and m³

b.      cm³, ml and l

ix.  Calculate volume of liquid in a container.

x.   Solve problems involving volume of prisms and cylinder

i.  Derive the formula for the volume of:

a)      pyramids

b)      cones

ii.  Calculate the volume of pyramids in mm³, cm³ and m³, given the height and:

a)      area of the base

b)      dimensions of base

iii.  Calculate the height of a pyramids given the volume and the dimension of the base

iv. Calculate the area of the base of a pyramid given the

volume and the height.

v. Calculate the volume of a cone in mm³, cm³, and m³, given the height and radius of the base.

vi.  Calculate the height of a cone, given the volume and radius of the base.

vii.  Calculate the radius of the base of a cone given the volume and the height.

viii. Solve problems involving volume of pyramids and cones.

i.   Calculate the volume of a sphere given the  radius of the sphere.

ii.   Calculate the radius of a sphere given the volume of the sphere

iii.   Solve problems involving volume of sphere.

i.  Calculate the volume composite solids.

ii. Solve problems involving volumes of composite solids.

18

30Apr – 6 May

9  SCALE DRAWINGS9.1 Understand the concept of scale drawing. 

i.  Sketch shapes:(a) of the same size as the object

(b) smaller than the object

(c) larger than the object

using grid paper

ii.  Draw geometric shapes according to

scale 1 : n, where n = 1, 2, 3, 4, 5,½, 1/10

iii.  Draw composite shapes according to

given scale using:

(a) grid paper

Hari Buruh(1/5)Wesak

(5/5)

 

(b) blank paper

iv.  Redraw shapes on grids of different sizes.

v.   Solve problems involving scale drawing

19 – 20

7 -20 May

10     TRANFORMATIONS II10.1    Understand and use the concept of similarity10.2    Understand and use the concept of enlargement

 

i.     Identify if given shapes are similar.ii.   Calculate the lengths of unknown sides of two similar shapes.

i.  Identify an enlargement.

ii.  Find the scale factor, given the object and its image of an enlargement when:

a)      scale factor > 0

b)      scale factor < 0

iii.  Determine the centre of enlargement, given the object and its image.

iv.  Determine the image of  an object given the centre of enlargement and the scale factor.

v.  Determine the properties of enlargement.

vi.  Calculate:

a)      the scale factor

b)      lengths of the side of the image

c)      length of the side of the object

d)     an enlargement

vii.              Determine the relationship between the area of the image and its object.

viii.  Calculate the:

a)      area of image

b)      area of object

c)      scale factor

of an enlargement.

ix.  Solve problems involving enlargement.

    2121–27 May 1st semester Examination 

Week 22 – 23 =  Mid  Year Holidays     ( 28 May – 10 June 2011 )

Week/Date Learning Objectives Learning Outcomes Remarks

24

11 -17Jun

11  LINEAR EQUATIONS II11.1      Understand and use the concept of linear equations in two variables11.2      Understand and use the concept of two simultaneous linear equations in two variables to solve problems

 

i.  Determine if an equation is a linear equation in two variables.ii.  Write linear equations in two variables from given information.

iii.  Determine the value of a variable given the other variables.

iv.  Determine the possible solutions for a linear equation in two variables.

i.  Determine if two given equations are simultaneous linear equations.

ii.  Solve two simultaneous linear equations in two variables by

a)      substitution

b)      elimination

iii.  Solve problems involving two simultaneous linear equations in two variables.

25 – 26

18 Jun – 1 Jul

12     LINEAR INEQUALITIES12.1    Understand and use the concept of inequalities12.2    Understand and use the concept of linear inequalities in one unknown

12.3    Perform computations involving addition, subtraction, multiplication and division on

i.  Identify the relationship:a)      greater than

b)      less than

based on given situations.

ii.  Write the relationship between two given numbers using the symbol “>”or “<”.

iii.  Identify the relationship:

a)      greater than or equal to

inequalities

12.4    Perform computations to solve inequalities in one variable

12.5    Understand the concept of simultaneous linear inequalities in one variable

 

b)      less than or equal to

based on given situations.

i.  Determine if a given relationship is a linear inequality.

ii.  Determine the possible solutions for a given linear inequality in one unknown:

a)      x > h;

b)      x < h;

c)      x ≥ h;

d)     x ≤ h.

iii.  Represent a linear inequality:

a)      x > h;

b)      x < h;

c)      x ≥ h;

d)     x ≤ h.

on a number line and vice versa.

iv.  Construct linear inequalities using symbols:

a)      “>” or  “<”

b)      “≥” or  “≤”

from given information.

i.  State a new inequality for a given inequality when a number is:

a)      added to

b)      subtracted from

both sides of the inequalities.

ii.  State a new inequality for a given inequality when both

sides of the inequalities are:

a)      multiplied by a number

b)      divided by a number.

iii.  Construct inequalities

a)      x + k > m + k

b)      x – k > m – k

c)      kx > km

d)

from given information.

i.  Solve a linear inequality by

a)      adding a number

b)      subtracting a number

on both sides of the inequality.

ii.  Solve a linear inequality by

a)      multiplying a number

b)      dividing a number

on both sides of the inequality.

iii.  Solve linear inequalities in one variable using a combination of operations.

i.  Represent the common values of two simultaneous linear inequalities on a number line.

ii.  Determine the equivalent inequalities for  two given linear inequalities.

iii.  Solve two simultaneous linear inequalities.

27

2 -8 Jul   Minggu Pertandingan Olahraga6 Jul – Cuti Peristiwa 3

28

9 – 22 Jul

13  GRAPHS OF FUNTIONS 13.1  Understand and use

1. State the relationship between two variables based on the given

the concept of function

13.2           Draw and use graph of functions.

 

information

2. Identify the dependent and independent variables in a given relationship involving two variables.

3. Calculate the value of the dependent variable given the value of the independent variable.

1. Construct tables of values for given functions.

2. Draw graphs of functions using given scale.

3. Determine from graph the value of y, given value of x and vice versa.

4. Solve problems involving graphs of functions.

29

16– 22 Jul

14  RATIOS, RATES AND PROPORTIONS II14.1 Understand the concept of rate and perform computations            involving rates.14.2          Understand and use the concept of speed.

14.3  Understand and use the concept of average speed.

14.4 Understand and use the concept of acceleration

1. Determine the rates involved in given situations and identify the two quantities involved.

2. Calculate the rate given two different quantities.

3. Calculate a certain quantity given the rate and the other quantity.

4. Convert rates from one unit of measurement to another.

5. Solve problems involving rates.

1. Identify the two quantities involved in speed.

2. Calculate and interpret speed.

3. Calculate:

a).   the distance, given the speed and the time.

b).   the time, given the speed and the distance.

4. Convert speed from one unit of measurement to another.

5. Differentiate between uniform speed and non-uniform speed.

1. Calculate the average speed in various situations.

2. Calculate1. the distance given the

average speed and the time.

2. the time, given the average speed and the distance.

3. Solve problems involving speed and average speed

i.        Identify the two quantities involved in acceleration.

ii. Calculate and interpret acceleration.

30

23 – 29  Jul

15  TRIGONOMETRY15.1  Understand and use tangent an acute angle in a right-angled triangle.15.2 Understand and use sine of an acute angle in a right-angled triangle.

15.3  Understand and use cosine of an acute angle in a right-angled triangle.

15.4  Use the values of tangent, sine and cosine to solve problems.

i.        Identify the:a.       Hypotenuse

b.      The opposite side and the adjacent side with respect to one of the acute angles.

ii.      Determine the tangent of an angle.

iii.    Calculate the tangent of an angle given the lengths of sides of the triangle.

iv.    Calculate the lengths of sides of a triangle given the value of tangent and the length of another side.

  i.         Determine the sine of an angle.

ii.          Calculate the sine of an angle given the lengths of sides of the triangle.

iii.         Calculate the lengths of sides of a triangle given the value of sine and length of another side.

i.            Determine the cosine of an angle.

ii.          Calculate the cosine of an angle given the lengths of sides of the triangle

iii.        Calculate the lengths of sides of a triangle given the value of cosine and the length of another side..

i.         Calculate the value of other trigonometric ratios given the value of a trigonometric ratio.

ii.       Convert the measurement of angles from

a.         degrees to degrees and minutes.

b.        degrees and minutes to degrees.

iii.  Find the value of :

a.       tangent

b.      sine

c.       cosine

of 30o, 45o and 60o without using scientific calculator.

iv.  Find the value of:

a.       Tangent

b.      Sine

c.       cosine

using scientific calculator.

v.  Find the angles given the values of:

a)    tangent

b)    sine

c)    cosine

using scientific calculators.

vi.  Solve problems involving trigonometric ratios.

31 – 32 *Percubaan PMR (13 – 17 Ogos)

33 – 39

*Revision (27 Ogos – 30 Sept)Hari Raya Aidilfitri / Cuti pertengahan penggal 2 (18 -26 Ogos)

Hari Kebangsaan (31 Ogos)

Hari Malaysia (17 Sept)40

   PMROkt – Nov Program pasca PMR

 

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PAGES About

DOKUMEN STANDARD PRESTASI MATEMATIK TINGKATAN 2

MATHEMATICS SYLLABUS FOR SECONDARY SCHOOL

PEMETAAN DSP MATEMATIK TINGKATAN 2

RANCANGAN TAHUNAN MATEMATIK TINGKATAN 2- 2013

RANCANGAN TAHUNAN MATEMATIK TINGKATAN 3- 2013

RPH MINGGU 1 – 3 (02.01.13 – 18.01.13)

RPH MINGGU 10 – 12 (04.03.13 – 22.03.13)

RPH MINGGU 14 – 15 (01.04.13 – 12.04.13)

RPH MINGGU 16 – 17 (15.04.13 – 26.04.13)

RPH MINGGU 18 – 19 (29.04.13 – 03.04.13)

RPH MINGGU 20 – 21 (13.05.13 – 24.05.13)

RPH MINGGU 24 – 25 (10.06.13 – 21.06.13)

RPH MINGGU 26 – 27 (24.06.13 – 05.07.13)

RPH MINGGU 28 – 29 (08.07.13 – 19.07.13)

RPH MINGGU 30 – 31 (22.07.13 – 02.08.13)

RPH MINGGU 32 – 34 (08.08.13 – 23.08.13)

RPH MINGGU 35 – 36 (26.08.13 – 06.09.13)

RPH MINGGU 37 – 38 (09.09.13 – 20.09.13)

RPH MINGGU 39 – 40 (23.09.13 – 04.10.13)

RPH MINGGU 4 – 6 (21.01.13 – 07.02.13)

RPH MINGGU 41 – 42 (07.10.13 – 18.10.13)

RPH MINGGU 43 – 44 (21.10.13 – 01.11.13)

RPH MINGGU 45 – 46 (04.11.13 – 15.11.13)

RPH MINGGU 7 – 9 (11.02.13 – 02.03.13)

SURAT AKU JANJI

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