Tuesday, January 28, 2014

RANCANGAN PENGAJARAN TAHUNAN TINGKATAN 2 (2014)

Yearly Plan Math Form 2 (2014)

DATE
LEARNING OBJECTIVES
LEARNING OUTCOME
REMARK

Minggu 1

3 - 4Jan
1. DIRECTED NUMBERS.

1.1  Perform computations involving multiplication and division of integers to solve problems.

Students will be able to:

i.   Multiply integers.
ii.  Solve problems involving multiplication of
     integers.
iii. Divide integers.
iv. Solve problems involving division of
     integers.

·         B3D1E3
·         B4D1E1

Minggu 2-3

4-15Jan


1.2  Perform computations involving combined operations of addition, subtraction, multiplication and division of integers to solve problems.





1.3  Extend the concept of integers to fraction to solve problems.



1.4 Extent the concept of integers to decimals to solve problems.

i.   Perform computations involving combined operations of addition, subtraction, multiplication and division of integers.

ii.  Solve problems involving combined operations of addition, subtraction, multiplication and division of integers including the use of brackets.

i.   Compare and order fractions.

ii.  Perform addition, subtraction, multiplication or division on fractions.

i.   Compare and order decimals.

ii.  Perform addition, subtraction, multiplication or division on decimals.


·         B4D1E2







·         B3D1E2




·         B3D1E3
Minggu 4
20-25 Jan

25 Jan – Sabtu Ganti
1.5 Perform computations involving directed numbers (integers, fractions and decimals)
i.   Perform addition, subtraction,
     multiplication or division involving two
    directed numbers.
ii.  Perform computations involving
     combination of two or more operations on
     directed numbers including the use of
     brackets.
iii. Pose and solve problems involving directed numbers.
·         B3D1E3
·         B4D1E3
·         B4D1E1
Minggu 5
27 Jan-31 Jan

30 Jan – Cuti Peristiwa

31 Jan – Cuti Tahun Baru Cina
2. SQUARES, SQUARE ROOTS,
    CUBES AND CUBE ROOTS

2.1 Understand and use the concept of squares of numbers.



i.   State a number multiplied by itself as a
     number to the power of two and vice versa
ii.  Determine the squares of numbers without
     using calculators
iii. Estimate the squares of numbers.
iv. Determine the squares of numbers using
    calculators.
v.  List perfect squares.
vi.  etermine if a number is a perfect
    square.
vii. Pose and solve problems involving
      squares of numbers.
·         B1D1E1
·         B2D2E1
·         B3D2E1
·         B4D2E1

Minggu 6
3 – 7 Feb

3 & 4 Jan – Cuti Ganti Tahun Baru Cina

2.2 Understand and use the concept of square roots of positive numbers.

i.   Determine the relationship between squares and square roots
ii.  Determine the square roots of perfect
     squares without using calculator.
iii. Determine the square roots of numbers
     without using calculators.
iv.  Multiply two square roots
v.   Estimate square roots of numbers.
vi.  Find the square roots of numbers using
      calculators.
vii. Pose and solve problems involving
       squares and square roots

·         B2D2E2
·         B3D2E1
·         B3D2E2
·         B2D2E1
·         B4D2E1
Minggu 7

10 - 15 Feb

15 Feb – Sabtu Ganti




2.3 Understand and use the concept of cube of numbers.
i.   State a number multiplied by itself twice as
     a number to the power of three and vice
     versa.
ii.  Determine cubes of numbers without using
     calculators.
iii. Estimate cubes of numbers.
iv. Determine cubes of numbers using
     calculators.
v.  Pose and solve problems involving cubes
     of numbers
·         B1D1E1
·         B2D2E1
·         B4D2E2
·         B2D2E2
2.4 Understand and use the concept of cube roots of numbers.
i.   Determine the relationship between cubes
     and cube roots.
ii.  Determine the cube roots of integers
     without using calculators.
iii. Determine the cube roots of numbers
      without using calculator.
iv. Estimate cube roots of numbers.
v.   Determine cube roots of numbers using
      calculators.
vi.  Pose and solve problems involving cubes
     and cube roots.
vii. Perform computations involving addition,
      subtraction, multiplication, division and
      mixed operations on squares, square roots,
      cubes and cubes roots.
·         B5D2E1
·         B6D1E1
Minggu 8
17 – 21 Feb

3. ALGEBRAIC
    EXPRESSIONS II.
3.1 Understand the concept of algebraic terms in two or more unknowns









3.2 Perform computations involving division of two or more terms multiplication and
i.   Identify unknowns in algebraic terms in
     two or more unknowns.
ii.  Identify algebraic terms in two or more
     unknowns as the product of the unknowns
     with a number.
iii. Identify coefficients in given algebraic
     terms in two or more unknowns.
iv.  Identify like and unlike algebraic terms
      in  two or more unknowns.
v.   State like terms for a given algebraic
      term

.
i.   Find the product of two algebraic terms.
ii.  Find the quotient of two algebraic terms.
iii. Perform multiplication and division
     involving algebraic terms.


B1D2E1
B2D3E1










B3D3E1
B4D3E1

Minggu 9
24 – 28 Feb

3.3 Understand the concept of algebraic expressions.









i.   Write algebraic expressions for given
     situations using letter symbols.
ii.  Recognise algebraic expressions in two or
     more unknowns.
iii. Determine the number of terms in give
     algebraic expressions in two or more
     unknowns.
iv.  Simplify algebraic expressions collecting
      like terms.
v.  Evaluate expressions by substituting
     numbers for letters.
·         B2D3E1
·         B1D2E1
·         B3D3E2
·         B3D3E3

3.4 Perform computations
      involving algebraic
      expressions.
i.   Multiply and divide algebraic expressions
     by a number.
ii.  Perform:
a)       addition
b)       subtraction
involving two algebraic expressions.
iii. Simplify algebraic expressions.
B3D3E4
Minggu 10

3 – 7 Mac

4. LINEAR EQUATIONS.
4.1 Understand and use the concept of equality.
4.2 Understand and use the concept of linear equations in one unknown.
i.   State the relationship between two
      quantities by using symbols ‘=’ or ‘
i.   Recognise linear algebraic terms
ii.  Recognise linear algebraic expressions
iii. Determine if a given equation is:
a)       a linear equation
b)       a linear equation in one unknown.
iv. Write linear equations in one unknown for
      given statements and vice versa.
B2D4E1
B1D3E1
B2D4E1
B3D4E1
Minggu 11 & 12

10-21 Mac
4.3      Understand the
         concept of solutions of linear
         equations in one unknown.  
i.  Determine if a numerical value is a solution
    of a given linear equation in one unknown.
ii. Determine the solution of a linear equation
    in one unknown by trial and improvement
    method.
iii. Solve equations in the form of;
a)       x + a = b
b)       x – a = b
c)       ax = b
d)        = b
where a, b, c are integers and x is an unknown.
iv. Solve equations in the form of  ax + b = c,
     where a, b, c are integers and x is an
     known.
v.  Solve linear equations in one unknown.
vi. Pose and solve problems involving linear
     equations in one unknown
B3D4E2
B5D3E1


















Minggu 13

Cuti Pertengahan Penggal 1 (22 – 29 Mac)

Minggu 14
31 Mac - 4 Apr

5. RATIOS, RATES AND
    PROPORTIONS
5.1   Understand the concept of ratio of two quantities.






i.  Compare two quantities in the form  a : b   or       
ii.  Determine whether given ratios are
     equivalent ratios.
iii. Simplify ratios to the lowest terms.
iv. State ratios related to a given ratio.

·         B2D5E1
·         B3D5E1
Minggu 15
7 - 11 Apr

5.2   Understand the concept of
     proportion to solve problems.
i.  State whether two pairs of quantities is a
    proportion.
ii. Determine if a quantity is proportional to
    another quantity given two values of each
    quantity.
iii. Find the value of a quantity given the ratio
     of  the two quantities and the value of
     another quantity.
iv. Find the value of a quantity given the ratio
     and the sum of  the two quantities.
v.  Find the sum of two quantities given the ratio of the  
      quantities and difference between the
      quantities.
vi.  Pose and solve problems involving ratios and
      proportions.

·         B3D5E2
·         B4D5E1
·         B4D5E4
·         B5D4E1













Minggu 16
14 – 18 Apr

5.3   Understand and use the concept of ratio of three quantities to solve problems.
i.   Compare three quantities in the form a : b : c.
ii.  Determine whether given ratios are
     equivalent ratios.
iii. Simplify ratio of three quantities to the lowest
     terms.
iv. State the ratio of any two quantities give
     ratio of  three quantities.
v.  Find the ratio of  a : b : c 
     given the ratio of a : b and b : c.
vi. Find the value of the other quantities, given
     the ratio of three quantities and the value of
     one of the quantities.
vii. Find the value of each of the three quantities
      given:
       a) the ratio and the sum of 
           three quantities.
       b) the ratio and the difference between two or three quantities
viii. Find the sum of three quantities given the
       ratio and the difference between two of the
       three quantities.
ix.  Pose and solve problems involving ratio of
      three quantities.

·         B2D5E1
·         B3D5E1
·         B4D5E2
·         B4D5E3
·         B4D5E4
·         B5D4E1
Minggu 17
21 – 25 Apr

6. PYTHAGORAS’ THEOREM
6.1   Understand the relationship between the sides of a right-angled triangle.








i.   Identify the hypotenuse of right-angled triangles.
ii.  Determine the relationship between the
     lengths of the sides of a right-angled
     triangle.
iii. Find the length of the missing side of a
     right-angled triangle using the Pythagoras
     theorem.
iv. Find the length of sides of geometric
     shapes using Pythagoras’ theorem.
v.  Solve problems using the Pythagoras’
     theorem.
·         B1D4E1
·         B2D6E1
·         B4D6E1
·         B5D5E1
Minggu 18
28 Apr – 2 Mei
1 Mei – Hari Buruh






6.2   Understand and use the
        converse of the Pythagoras’
        theorem.
i.    Determine whether a triangle is a right-
      angled triangle.
ii.   Solve problems involving the converse
      Pythagoras’ theorem.
·         B3D6E1
·         B5D5E1
·         B6D1E1
Minggu 19 & Minggu 20

5 – 16 Mei

10 Mei – Sabtu Ganti

16 Mei – Hari Guru
GEOMETRICAL
    CONSTRUCTION
7.1  Perform constructions using straight edge (ruler
and set square) and compass
i.         Construct a triangle given the length of  the sides.
ii.   Construct a triangle given the length of the sides.
iii.  Construct:
      a) perpendicular bisector of a
          given line segment
      b) perpendicular to a line
          passing through a point on
          the line
      c) perpendicular to a line
          passing through a point not
          on the line.

iv.  Construct:
      a) angle of 600 and 1200
      b) bisector of an angle.

v.   Construct:
      a) one side and two angles.
      b) two side and one angle.

vi.  Construct:
      a) parallel lines
      b) parallelogram given its sides
          and an angle.


·         B3D7E1
·         B4D7E1
·         B4D7E2
·         B5D6E1
Minggu 21 & 22
Peperiksaan Pertengahan Tahun
Minggu 23 & 24

Cuti Pertengahan Tahun (27 Mei – 14 Jun)

Minggu 25
16 – 21 Jun
21 Jun – Sabtu Ganti
8.  COORDINATES.
8.1   Understand and use the concept of  coordinates.










8.2   Understand and use the concept of scales for the coordinate axes.
i.    Identify the x-axis, y-axis and the origin on a Cartesian plane.

ii.   Plot points and state the coordinates of the
      points given distances from the y-axis and                                    x-axis.
iii.  Plot points and state the distances from the y-axis and       x-axis given coordinates of the points.

iv.  State the coordinates of points on Cartesian plane.

i.    Mark the values on both axes    by extending the sequence of given values on the axes.

ii.   State the scales used in given coordinate axes where:
      a) scales for axes are the same
      b) scales for axes are different.

iii.  Mark the values on both axes, with reference to the scales given.

iv.   State the coordinates of a given point with reference to the scales given.

 v.   Plot points, given the coordinates, with
       reference to the scales given.

vi.  Pose and solve problems involving
      coordinates.


·         B1D5E1
·         B3D8E1










·         B2D7E2
·         B3D8E2
·         B3D8E3
·         B5D7E2


















Minggu 26
Minggu Sukan & Olahraga (23 – 26 Jun)
27 Jun – Cuti Peristiwa

Minggu 27 & 28

30 Jun – 11 Julai
8.3   Understand and use the concept of distance between two points on a Cartesian plane.








8.4   Understand and use the
concept of midpoints.
i.    Find the distance between two point with:
      a) common y-coordinates
      b) common x-coordinates.

ii.   Find the distance between two point using Pythagoras’ theorem.

iii.  Pose and solve problems involving
      distance between two points.


i.    Identify the midpoint of a straight line
      joining two points.
ii.   Find the coordinates of the midpoint of a
       straight line joining two points with:
      a) common y-coordinates
      b) common x-coordinates.
iii.  Find the coordinates of midpoint of the   
      line joining two points.
iv.   Pose and solve problems

·         B3D8E4
·         B4D8E1
·         B5D7E1







·         B2D7E2
·         B3D8E5
·         B4D8E2
·         B5D7E1
Minggu 29
14 – 18 Julai

9. LOCI IN TWO DIMENSIONS.
9.1 Understand the concept of two-dimensional loci.














i.   Describe and sketch the locus of    a moving
     object.
ii.  Determine the locus of points    that are of:
a)       constant distance from the fixed point.
b)       equidistant from two fixed    point.
c)       constant distance from a   straight line.
d)       equidistant from two  intersecting lines
iii. Construct the locus of a set of all points that satisfies the condition:
a)       the point is at a constant distance from a fixed point.
b)       the point is at equidistant from two fixed points
c)       the point is at a constant distance from a straight line.
d)       the point is at equidistant from two intersecting lines.

·         B3D9E1
·         B3D9E2
·         B4D9E1
Minggu 30
21 – 25 Julai

9.2 Understand the concept of the intersection of two loci.
i.   Determine the intersections of two loci by drawing the loci and locating the points that satisfy the conditions of the two loci.
·         B5D8E1

Minggu 31

  • 28 & 29 Julai – Cuti Hari Raya
  • 30 Julai – Cuti Peristiwa
  • 31 Julai & 1 Ogos – Cuti Ganti
Minggu 32
4 - 8 Ogos

10. CIRCLES.
10.1 Recognise and draw parts of a circle.






















10.2 Understand and use the concept of circumference to solve problems.




i.   Identify circle as a set of points equidistant 
     from a fixed point.
ii.  Identify parts of a circle:
a)       centre
b)       circumference
c)       radius
d)       diameter
e)       chord
f)         arc
g)       sector
h)       segment
iii. Draw:
a)       a circle given the radius and centre.
b)       a circle given the diameter.
c)       a diameter passing through a specific point in a circle given the centre.
d)       a chord of a given length passing through a point on the circumference.
e)       sector given the size of the angle at the centre and radius of the circle.
iv.  Determine the:
a)       centre
b)       radius
of a given circle by construction.
i.   Estimate the value of  Ï€.
ii.  Derive the formula of the circumference of a circle.
iii. Find the circumference of a circle, given     
      its:
a)       diameter
b)       radius
iv.  Find the:
a)       diameter
b)       radius
given the circumference of a circle.

v.   Solve problems involving circumference
      of circles.



·         B1D6E1
·         B2D8E1
·         B3D10E1
·         B4D10E1



















·         B3D11E1
·         B4D10E2
·         B5D9E1















Minggu 33 & 34
11 – 22 Ogos








10.3 Understand and use the concept of arc of a circle to solve problems.











10.4 Understand and use the concept of area of a circle to solve problems














10.5 Understand and use the concept of area of sector of a circle to solve problems.
i .   Derive the formula of the length of an arc.

ii. Find the length of arc given the angle at the centre and the radius.

iii. Find the angle at the centre given the length of the arc and the radius of a circle.

iv.  Find the length of radius of a circle given the length of the arc and the angle at the centre.

v.   Solve problems involving arcs of a circle.

i.  Derive the formula of area of a circle.
ii.  Find the area of a circle given the:
a)            radius
b)            diameter.

iii. Find:
a)            radius
b)            diameter
  given the area of a circle.

iv.  Find the area of a circle given the circumference and vice versa.

v.   Solve problems involving area of circles.


i.   Derive the formula of the area of a sector.
ii.  Find the area of a sector given the radius
     and angle at the centre.
iii. Find the angle at the centre given the
      radius and the area of sector.
iv.  Find the radius given the area of sector  
     and the angle at the centre.
v.   Solve problems involving area of sectors
     and area of circles.

·         B3D11E2
·         B4D10E2











·         B3D11E3
·         B4D10E2
·         B5D9E1
·         B5D9E2











·         B3D11E4
·         B4D10E2
·         B5D9E1

Minggu 35
25 – 29 Ogos

11. TRANSFORMATIONS.
11.1 Understand the concept of transformations.











11.2 Understand and use the concept of translations.







11.3 Understand and use the 
       concept of reflections.

















i.   Identify a transformation as a one-to-
    one correspondence between points in a
    plane.
ii.  Identify the object and its image in a
     given transformation. 
i.   Identify a translation.
ii.  Determine the image of an object under
     a given translation.
iii. Describe a translation:
a)       by stating the direction and distance of the movement.
b)       in the form .
iv. Determine the properties of translation.
v.   Determine the coordinates of:
a)       the image, given the  coordinates of the object
b)       the object, given the coordinates of the image
under a transformation.
vi.  Solve problems involving translations.

i.   Identify a reflection.
ii.  Determine the image of an object under a
     reflection on a given line.

iii. Determine the properties of reflections.
iv.  Determine:
a)       the image of an object, given the axis of reflection.
b)       The axis of reflection, given the object and its image.
v.   Determine the coordinates of:
a)       the image, given the coordinates of the object
b)       the object, given the coordinates of the image
under a reflection.
vi.  Describe a reflection given the object and
      image.
vii. Solve problems involving reflections.


·         B1D7E1
·         B2D9E1











B2D9E2
B3D12E1
B4D11E1
B5D10E1





·         B2D9E2
·         B3D12E2
·         B4D11E2
·         B5D10E1















Minggu 36 & 37
1 - 12 Sept

1 Sept – Cuti Hari Merdeka

11.4 Understand and use the
concept of rotations




















11.5 Understand and use the concept of isometry.




11.6 Understand and use the concept of congruence.




11.7 Understand and use the properties of quadrilaterals using concept of transformations.
i.   Identify a rotation.
ii.  Determine the image of an object under a
     rotation given the centre, the angle and
     direction of rotation.
iii. Determine the properties of rotations.
vi.  Describe a reflection given the object and
      image.
iv.  Determine:
a)       image of an object, given the centre, angle and direction of rotation.
b)       the centre, angle and direction of rotation, given the object and the image.
v.   Determine the coordinates of:
a)       the image, given the coordinates of the object
b)       the object, given the coordinates of the image under rotation.
vi.  Describe a rotation given the object and
      image.
vii. solve problems involving rotations


.i   Identify an isometry.
ii.  Determine whether a given   
     transformation is an isometry.
iii. Construct patterns using isometry.


i.   Identify if two figure are congruent.
ii.  Identify congruency between two figures
     as a property of an isometry.
iii. Solve problems involving congruence.


i.   Determine the properties of quadrilaterals using reflections and rotations.

·         B2D9E2
·         B3D12E3
·         B4D11E3
·         B5D10E1


















·         B2D9E3
·         B3D12E4




·         B2D9E3
·         B3D12E5
·         B4D11E4


·         B3D12E6
Minggu 38
Cuti Pertengahan Penggal 2
Minggu 39

22 – 26 Sept
12. SOLID GEOMETRY II.
12.1 Understand geometric solids properties.

12.2 Understand the concept of nets.





i.   State the geometric properties of prisms,
      pyramids, cylinders, cones and spheres.


i.   Draw nets for prisms, pyramids, cylinders and cones.
ii.  State the types of solids given their nets.
iii. Construct models of solids given their  
     nets.

·         B2D10E1



·         B4D12E1
·         B4D13E1
·         B4D12E2
Minggu 40
29 Sept – 03 Okt


12.3 Understand the concept of surface area.
i.   State the surface areas of prisms,
     pyramids, cylinders and cones.
     cylinders and cones.
iii. Find the surface area of spheres using the
     standard formula.
iv.  Find dimensions:
a)       length of sides
b)       height
c)       slant height
d)       radius
e)       diameter
of a solid given its surface area and other relevant information.

v.   Solve problems involving the surface area.

·         B3D13E2
·         B4D12E3
·         B5D11E1

Minggu 41
6 - 10 Okt

13. STATISTICS.
13.1 Understand the concept of data.




13.2 Understand the concept of frequency.







i.   Classify data according to those that can
     be collected by:
a)       counting
b)       measuring.
ii.  Collect and record data systematically.
i.   Determine the frequency of data.
ii.  Determine the data with:
a)       the highest frequency.
b)       the lowest frequency.
c)       frequency of specific value.
iii. Organise data by constructing:
a)       tally charts.
b)       frequency tables.
iv.  Obtain information from frequency tables.
·         B2D11E1
·         B3D14E1




·         B3D14E2
·         B4D13E1
·         B3D14E3
Minggu 42
13  – 17 Okt

13.3 Represent and interpret data in:
i.   pictograms
ii.  bar charts
iii. line graphs
to solve problems.

i.   Construct pictograms to represent data.
ii.  Obtain information from pictograms.
iii. Solve problems involving pictograms.
vi.  Construct bar charts to represent data.
v.   Obtain information from bar charts.
vi.  Solve problems involving bar charts.
vii. Represent data using line graphs.
viii. Obtain information from line graphs.
ix.  solve problems involving line graphs.
·         B4D13E2
·         B3D14E3
·         B5D12E1
·         B6D1E1

Minggu 43 – Minggu 44
20 - 31Okt

Peperiksaan Akhir Tahun

22 Okt _ Cuti Peristiwa Deepavali

Minggu 45
3 - 7 Nov
SPM/STPM
Minggu 46
10 – 14 Nov

Majlis Penyampaian Hadiah







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