RANCANGAN TAHUNAN MATEMATIK 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 anumber 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   asa 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 cubesand 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 intwo 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 givensituations 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 computationsinvolving algebraic

expressions.

i.   Multiply and divide algebraic expressionsby 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 twoquantities 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 theconcept of solutions of linear

equations in one unknown.

i.  Determine if a numerical value is a   solutionof 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     orii.  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 aproportion.

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’ THEOREM6.1     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 theconverse 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

7    GEOMETRICAL    CONSTRUCTION

7.1    Perform constructions using straight edge (ruler

and set square) and compass

  1.   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 movingobject.

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   equidistantfrom 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  π.

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 theconcept 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 canbe   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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