Compacting Math Form 2

PEMAMPATAN SUKATAN PELAJARAN TINGKATAN 2, 2010
Compacting Mathematics form two

MATAPELAJARAN:
MATEMATIK

MINGGU TAJUK OBJEKTIF PELAJARAN ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN
DIAJAR KAJIAN

1 week DIRECTED 1. Perform Free Test (untuk item yang
NUMBERS computations tidak diajar)
involving
multiplication and
division of integers
to solve problems.

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

3. Extend the concept
of integers to
fractions to solve
problems

4. Extend the concept
of integers to
decimals to solve
problems

5. Perform
computations
involving directed
numbers (integers,
fractions and
decimals)
ZAI/smktiz/2010


DIAJAR KAJIAN
• Recognise squares of
2 weeks SQUARES, 1. Understand and numbers as the areas of
SQUARE use the concept of the associated squares
ROOTS, squares of numbers • Use pencil-and-paper
CUBES AND method, mental and
CUBE speed calculations to
ROOTS evaluate squares of
numbers where
appropriate
• Use estimation to check
whether answers are
reasonable
e.g
27 is between 20 and 30.
27² is between 400 and
900
• Explore square numbers
using calculators
• Explore perfect squares

• Explore the concept of
2. Understand square roots using areas
and use the of squares.
concept of • Investigate
square multiplications involving
roots of square roots of
positive a) the same number
numbers b) different numbers

• Use estimation to check
whether answers are
reasonable
e.g
7 is between 4 and 9
√7 is between 2 and 3

ZAI/smktiz/2010


ZAI/smktiz/2010

OBJEKTIF
MINGGU TAJUK ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN
PELAJARAN
DIAJAR KAJIAN
• Use calculators to explore
the relationship between
squares and square
roots.

3. Understand • Recognise cube of a
and use the number as the volume of
concept of the associated cube.
cube of • Use pencil-and-paper
numbers method, speed and
mental calculations to
evaluate cubes of
numbers
• Explore estimation of
cubes of numbers.
e.g
0.48 is between 0.4 and
0.5
0.48³ is between 0.064
and 0.125

• Explore cubes of
numbers using
calculators

4. Understand • Use calculators to explore
and use the the relationship between
concept of cubes and cube roots.
cube roots
of numbers • Explore estimation of
cube roots of numbers
e.g
3

• Explore the relationship
between cubes and cube
roots using calculators.

OBJEKTIF
PELAJARAN
DIAJAR KAJIAN
• Use concrete examples to
1 week LINEAR 1. Understand illustrate ‘=’ and ‘≠’
EQUATIONS and use the
concept of ZAI/smktiz/2010
equality


OBJEKTIF
PELAJARAN
DIAJAR KAJIAN
• Use concrete examples to
explain solutions of linear
equation in one unknown
e.g
relate x + 2 = 5 to
+2=5
3. Understand
the concept • Solve and verify linear
of solutions equations in one unknown
of linear by inspection and
equations in systematic trial, using
one unknown whole numbers, with and
without the use of
calculators.

• Involve examples from
everyday situations

LINEAR 1. Understand and use • Derive linear equations in
EQUATIONS the concepts of linear two variables relating to
II equations in two real-life situations.
variables. • Explore using graphic
1 week
calculators, dynamic
geometry software and
spreadsheets to solve
linear equations and
simultaneous linear
equations.
2. Understand and use
• Use trial and
the concepts of two
improvement method.
Simultaneous linear
equations in two • Use examples from real-
variables to solve life situations.
problems.

ZAI/smktiz/2010


OBJEKTIF
PELAJARAN
DIAJAR KAJIAN
• use everyday examples to
2 weeks RATIOS, 1. Understand introduce the concept of
RATES AND the concept ratio
PROPORTIONS of ratio of two • use concrete examples to
quantities explore:
a) equivalent ratios
b) related ratios

• use everyday examples to
2. understand introduce the concept of
the concept proportion
of proportion
to solve • verify the method of cross
problems multiplication and use it
to find the missing
• Use everyday examples to
3. Understand introduce the concept of
and use the ratio of three quantities
concept of
ratio of three • Use concrete examples to
quantities to explore equivalent ratios
solve problems terms of a proportion

1. Understand • Students identify the
1 week PYTHAGORAS’ the hypotenuse of right-
THEOREM relationship angled triangles drawn in
between the different orientations
sides of a
right- angled • Use dynamic geometry
triangle software, grid papers or
geo-boards to explore
and investigate the
Pythagoras’ theorem
2. Understand • Explore and investigate
and use the the converse of the
converse of the Pythagoras’ theorem
Pythagoras’ through activities
theorem
ZAI/smktiz/2010


OBJEKTIF
PELAJARAN
DIAJAR KAJIAN
GEOMETRICAL 1 Perform • Relate constructions to
2 weeks CONSTRUCTIONS constructions properties of rhombus and
using straight isosceles triangle
edge (ruler
and set • Relate the construction to
square) and the properties of
compass equilateral triangle

• Explore situation when two
different triangles can be
constructed

• Introduce the concept of
1 week COORDINATES 1. Understand coordinates using everyday
and use the examples
concept of e.g
coordinates
State the location of:
a) a seat in the classroom
b) a point on square grids

• Introduce Cartesian
coordinates as a
systematic way of marking
the location of a point

• Use dynamic geometry
2. Understand software to explore and
and use the investigate the concept
concept of scales
scales for the
coordinate axes • Explore the effects of
shapes of objects by using
different scales

• Explore positions of places
on topography maps

ZAI/smktiz/2010


OBJEKTIF
PELAJARAN
DIAJAR KAJIAN
• Pose and solve problems
involving coordinates of
vertices of shapes such as
Name the shape formed by
A(1, 5), B(2, 5), C(4, 3) and
D(3, 3)
Three of the four vertices of
a square are (1, 1), (2, 5)
and (6, 2). State the
coordinates of the fourth
vertex.

3 Understand • Discuss different methods
and use the of finding distance between
concept of two points such as
distance a) inspection
between two b) moving one point to
points on a the other
Cartesian c) computing the
plane difference between the
x-coordinates or y-
coordinates

• Students draw the
appropriate right-angled
triangle using the distance
between the two points as
the hypotenuse

4 Understand • Introduce the concept of
and use the midpoints through
concept of activities such as folding,
midpoints constructing, drawing and
counting
• Use dynamic geometry
software to explore and
investigate the concept of
midpoints

ZAI/smktiz/2010


OBJEKTIF
PELAJARAN
DIAJAR KAJIAN
• Use everyday examples
LOCI IN TWO 1 Understand such as familiar routes
2 weeks the concept of and simple paths to
DIMENSIONS
two introduce the concept of
dimensional loci
loci • Discuss the locus of a
point in a given diagram
e.g
Describe a locus of a point
equidistant from A and C
A D

B C

2 Understand • Use everyday examples or
the concept of games to discuss the
the intersection intersection of two loci
of two loci • Mark the points that
satisfy the conditions

3 weeks CIRCLES 1 Recognize and • Introduce the concept of
draw parts of a circles as a locus
circle • Use dynamic geometry
software to explore parts of
a circle
2 Understand
and use the • Measure diameter and
concept of circumference of circular
circumference objects
to solve • Explore the history of π
problems • Explore the value of π
using dynamic geometry
software
ZAI/smktiz/2010


OBJEKTIF
PELAJARAN
DIAJAR KAJIAN
• Explore the relationship
3 Understand between the length of arc
the concept of and angle at the center of a
arc of a circle circle using dynamic
to solve geometry software
problems

4 Understand • Explore the relationship
and use the between the radius and the
concept of area area of a circle:
of sector of a a) using dynamic
circle to solve geometry software
problems b) through activities
such as cutting the
circle into equal
sectors and rearrange
them into rectangular
form

5 Understand and • Explore the relationship
use the concept between the area of a
of area of sector sector and the angle at the
of a circle to center of the circle using
solve problems dynamic geometry software

• Explore scale drawings
SCALE 1 Understand the using dynamic geometry
1 week concepts of scale software, grid papers,
DRAWINGS
drawings. geo-boards or graph
papers.

• Relate to maps, graphics
and architectural
drawings.

ZAI/smktiz/2010


OBJEKTIF
PELAJARAN
DIAJAR KAJIAN
1 understand the • Explore concepts in
2 weeks TRANSFORMA concept of transformational geometry
TIONS transformations using concrete materials,
drawings, geo-boards and
dynamic geometry software

2 Understand • Explore translations given
and use the in the form a
concept of b
translations o Investigate the shapes and
sizes, lengths and angles
of the images and objects

• Explore the image of an
3 Understand object under a reflection by
and use the drawing, using tracing
concept of paper, or paper folding
reflections
• Investigate the shapes and
sizes, lengths and angles of
the images and objects

4 Understand • Explore the image of an
and use the object under a rotation by
concept of drawing and using tracing
rotations paper

5 Understand and • use tracing papers to
use the concept explore isometry
of isometry

6 Understand • explore congruency under
and use the translations, reflections
concept of and rotations
congruence
ZAI/smktiz/2010


OBJEKTIF
PELAJARAN
DIAJAR KAJIAN
7 Understand and • explore the properties of
use the various quadrilaterals by
properties of comparing the sides,
quadrilaterals angles and diagonals
using concept
of transformations
1 Understand and use • Involve examples from
1 week TRANSFORMA the concepts of everyday situations.
TIONS II similarity.

2 Understand and • Explore the concepts of
use the concepts of enlargement using grid
enlargement. papers, concrete
materials, drawings,
geo-boards and dynamic
geometry software.

• Relate enlargement to
similarity of shapes.
2 weeks SOLID 1 Understand
GEOMETRY II geometric • Explore and investigate
properties of properties of geometric
prisms, solids using concrete
pyramids, models
cylinders, cones
and spheres.
2 Understand the • Explore the similarities
concept of nets and differences between
nets of prisms, pyramids,
cylinders and cones using
concrete models

3 Understand the • Explore and derive
concept of formulae of the surface
surface area areas of prisms, pyramids,
cylinders and cones
ZAI/smktiz/2010


OBJEKTIF
PELAJARAN
DIAJAR KAJIAN
1 Understand the • Carry out activities to
1 week STATISTICS concept of data introduce the concept of
data as a collection of
information or facts

• Discuss methods of
collecting data such as
counting observations,
measuring, using
questionnaires and
interviews

2 Understand the • Use activities to introduce
concept of the concept of frequency
frequency

3 Represent and • Use everyday situations to
interpret data in: introduce pictograms, bar
i) pictograms charts and line graphs.
ii) bar charts
iii) line graphs
to solve problems

ZAI/smktiz/2010


DIAJAR KAJIAN

1 week ALGEBRAIC 1 Understand Free Test (untuk item yang
EXPRESSIONS the concept tidak diajar)
II of algebraic
terms in
two or more
unknowns.

2 Perform
computations
involving
multiplication
and division
of two or
more terms

3 Understand
the concept
of algebraic
Expressions

4 Perform
computations
involving
algebraic
expressions

ZAI/smktiz/2010

Compacting Math Form 2

Recomendados

Recomendados

Mais conteúdo relacionado

Semelhante a Compacting Math Form 2

Semelhante a Compacting Math Form 2 (9)

Compacting Math Form 2