Monday, February 28, 2011

Yearly Lesson Plan Mathematic Form 2

Yearly Plan Math Form 2 (2011)


DATE

LEARNING OBJECTIVES

LEARNING OUTCOME

REMARK


Minggu 1


3-7Jan

Students will be taught to:

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.


Minggu 2


10-14 Jan


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.

Minggu 3

17-21

Jan

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.


Minggu 4

24-28

Jan

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.

Minggu 5

1-4

Feb








Minggu 6

7 - 11

Feb


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

Minggu 7


14 - 18

Feb

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

Minggu 8

21 - 25

Feb








Minggu 9

28/2 – 4/3

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.

Sukan tahunan sekolah

Minggu 10

7/3 – 11/3

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.



Minggu 11

14/3 – 18/3







Cuti pertengahan penggal 1


Minggu 12

21/3 – 25/3

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.

Minggu 13


28/3 – 1/ 4

3.4 Perform computations

involving algebraic

expressions.

i. Multiply and divide algebraic expressions

by a number.

ii. Perform:

  1. addition
  2. subtraction

involving two algebraic expressions.

iii. Simplify algebraic expressions.

Minggu 14

4/4 – 8/4

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:

  1. a linear equation
  2. a linear equation in one unknown.

iv. Write linear equations in one unknown for

given statements and vice versa.

Minggu 15

11/4 – 15/4

  1. 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;

  1. x + a = b
  2. x – a = b
  3. ax = b
  4. = 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

Minggu 16

18/4 – 22/4

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.

Minggu 17

25/4 – 30/4

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.

Minggu 18

2/5 – 6/5

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.

Minggu 19

9/5 – 13/5

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.

Minggu 20

16/5 – 20/5






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.


Minggu 21

23/5 – 27/5


Peperiksaan penggal 1


Minggu 22

30/5 – 1/6


Cuti penggal 1


Minggu 23

6/6 – 10/6


Cuti penggal 1

Minggu 24

13/6 - 17/6

7.1 Understand and use properties of angles associated with transversal and parallel lines.

i. Identify:

a) transversals

b) corresponding angles

c) alternate angles

d) 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.

Minggu 25


20/6 – 26/6

8.1 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.

Minggu 26

27/6 – 1/7

9.1 Understand and use the concept of coordinates.













9.2 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.


Minggu 27

4/7 – 8/7

9.3 Understand and use the concept of distance between two points on a Cartesian plane.


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.

Minggu 28

11/7 – 15/7

9.4 Understand and use the

concept of midpoints.

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

Minggu 29

18/7 – 22/7

10.1 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:

  1. constant distance from the fixed point.
  2. equidistant from two fixed point.
  3. constant distance from a straight line.
  4. equidistant from two intersecting lines

iii. Construct the locus of a set of all points that satisfies the condition:

  1. the point is at a constant distance from a fixed point.
  2. the point is at equidistant from two fixed points
  3. the point is at a constant distance from a straight line.
  4. the point is at equidistant from two intersecting lines.

Minggu 30

25/7 – 29/7

10.2 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.

Minggu 31

1/8 – 5/8

11.1 Recognise and draw parts of a circle.























11.2 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:

  1. centre
  2. circumference
  3. radius
  4. diameter
  5. chord
  6. arc
  7. sector
  8. segment

iii. Draw:

  1. a circle given the radius and centre.
  2. a circle given the diameter.
  3. a diameter passing through a specific point in a circle given the centre.
  4. a chord of a given length passing through a point on the circumference.
  5. sector given the size of the angle at the centre and radius of the circle.

iv. Determine the:

  1. centre
  2. 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:

  1. diameter
  2. radius

iv. Find the:

  1. diameter
  2. radius

given the circumference of a circle.


v. Solve problems involving circumference

of circles.


Minggu 32

8/8 – 12/8

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














i
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.


Minggu 33

15/8 – 19/8

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


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.


  1. v. Solve problems involving area of circles.

Minggu 34

22/8 -26/8

11.5 Understand and use the concept of area of sector of a circle to solve problems.

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.

Peperiksaan penggal 2

Minggu 35

29/9 – 2/9



Cuti Hari Raya

Minggu 36


5/9 – 9/9

12.1 Understand the concept of transformations.














12.2 Understand and use the concept of translations.

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:

  1. by stating the direction and distance of the movement.
  2. in the form .

iv. Determine the properties of translation.

v. Determine the coordinates of:

  1. the image, given the coordinates of the object
  2. the object, given the coordinates of the image

under a transformation.

vi. Solve problems involving translations.

Minggu 37

12/9 – 16/9

12.3 Understand and use the

concept of reflections.

















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:

  1. the image of an object, given the axis of reflection.
  2. The axis of reflection, given the object and its image.

v. Determine the coordinates of:

  1. the image, given the coordinates of the object
  2. 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.

Minggu 38

19/9 – 23/9

12.4 Understand and use the

concept of rotations

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:

  1. image of an object, given the centre, angle and direction of rotation.
  2. the centre, angle and direction of rotation, given the object and the image.

v. Determine the coordinates of:

  1. the image, given the coordinates of the object
  2. the object, given the coordinates of the image under rotation.

vi. Describe a rotation given the object and

image.

vii. solve problems involving rotations

Minggu 39

26/9 – 30/9


12.5 Understand and use the concept of isometry.





12.6 Understand and use the concept of congruence.




12.7 Understand and use the properties of quadrilaterals using concept of transformations.

.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.

Minggu 40

3/10 -7/10

13.1 Understand geometric solids properties.


13.2 Understand the concept of nets.





13.3 Understand the concept of surface area.

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.

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:

  1. length of sides
  2. height
  3. slant height
  4. radius
  5. diameter

of a solid given its surface area and other relevant information.


v. Solve problems involving the surface area.

Minggu 41

10/10 – 14/10

14.1 Understand the concept of data.





14.2 Understand the concept of frequency.







i. Classify data according to those that can

be collected by:

  1. counting
  2. measuring.

ii. Collect and record data systematically.

i. Determine the frequency of data.

ii. Determine the data with:

  1. the highest frequency.
  2. the lowest frequency.
  3. frequency of specific value.

iii. Organise data by constructing:

  1. tally charts.
  2. frequency tables.

iv. Obtain information from frequency tables.

Minggu 42

17/10 – 21/10

14.3 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.

Minggu 43

24/10 – 28/10


Revision

Minggu 44

31/10 – 4/11


Peperiksaan Akhir Tahun

Minggu 45

7/11 – 11/11


Peperiksaan Akhir Tahun

Minggu 46

14/11 – 18/11


Peperiksaan Akhir Tahun


Cuti T Akhi Tahun





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