form2_2009
-
Upload
adibah-alias -
Category
Documents
-
view
215 -
download
0
Transcript of form2_2009
-
7/31/2019 form2_2009
1/12
SMK TANJUNG ADANG, GELANG PATAH, JOHOR
YEARLY LESSON PLAN MATHEMATICS FORM TWO 2009
LEARNING
AREA/WEEKS
LEARNING OBJECTIVES
Student will be taught to
LEARNING OUTCOMES:
Student will be able to.
TEACHING AND LEARNING
ACTIVITIES
SKILLS
Directed Numbers
Week 1 - 3
1.1 Perform computationsinvolving multiplication and
division of integers to solve
problems
i. Multiply integersii. Solve problems involving
multiplication of integers
iii. Divide integers
iv. Solve problems involving
division of integers
1.Use concrete materials such ascolored chips
2. Complete multiplication table by
recognizing patterns
3. Solve problems related to real
life situations
Working outidentifying
1.2 Perform computations involving
combined operations of
addition, subtraction,
multiplication and division of
integers to solve problems
i. Perform computations involving
combined operations of
a) addition
b) subtraction
c) multiplication and division
of integersii. Solve problems involving
combined operations of addition,
subtraction, multiplication and
division of integers including the
use of brackets
1. Student use calculators to
compare and verify answers
2. Solve problems related to real life situations such as money
and temperature
Relationship
Application
1.3 Extend the concept of integers
to fractions and decimals to
solve problems
i. compare and order fractions and
decimals.
ii. Perform addition , subtraction,
multiplication or division on
decimals
1. Compare fractions and decimals
using number
a) number lines
b) scientific calculator
23/1 MERENTAS DESA
26/1 27/1 CUTI TAHUN BARU CINAWeek 4 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
Perform operations on
a) integers
b) fractions
c) decimals
d) both fractions and decimals
Working Out
1
-
7/31/2019 form2_2009
2/12
LEARNING
AREA/WEEKS
LEARNING OBJECTIVES
Student will be taught to
LEARNING OUTCOMES:
Student will be able to.
TEACHING AND LEARNING
ACTIVITIES
SKILLS/POINTS
TO NOTES
2.Squares, square
roots,cubes and
cube roots
Week 5 - 7
2.1 Understand and use the
concept of squares of numbers
2.2 Understand and use the
concept of square
2.3 Understand and use the
concept of cube of numbers
i. State a number multiplied by
itself as a number to the power of
two 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. Determine if a number is a perfect
square.
vii. Pose and solve problems
involving squares of numbers
i. Determine the relationship between
squares and square roots
ii. Determine the square roots of
perfect squares without using
calculators
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 using
vii. Pose and solve problems
involving square and square roots
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
1. Recognize squares of numbers asthe areas of the associated squares
2. Use pencil-and paper method,mental and speed calculations to
evaluate squares of numberswhere appropriate
3. Use estimation to check whether
answers are reasonable
4. Explore square numbers using
calculators
5. Explore perfect squares
1. Explore the concept of square
roots using areas of squares
2. Investigate multiplicationsinvolving square roots of:
a) the same number
b) different numbers
3. Use estimation to check whether
answers are reasonable
4. Use calculators to explore the
relationship between squares and
square roots
1.Recognize cube of a number asthe volume of the associated cube
2. Use pencil-paper method, speed
and mental calculations to
evaluate cubes of numbers
3. Explore estimation of cubes of
numbers
4. Explores cubes of numbers using
calculators
Identification
Relationship
Working Out
Application
Exploration
Relationship
Limit to :
Fraction with
number. and denom.
is a perfect squares
Decimals that can
be written in the
form of square of
another decimal
Relationship
Emphasize
4/2 5/2 SUKANTARA
19/2 KEJOHANAN OLAHRAGA SUKAN TAHUN 2009
2
-
7/31/2019 form2_2009
3/12
LEARNING
AREA/WEEKS
LEARNING OBJECTIVES
Student will be taught to
LEARNING OUTCOMES:
Student will be able to.
TEACHING AND LEARNING
ACTIVITIES
SKILLS/POINTS
TO NOTES
Week 8 - 9 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 the
calculators
iii. Determine the cube roots of
numbers without using the
calculators
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 cube roots
1. Use calculators to explore the
relationship between cubes and
cube roots
2. Explore estimation of cube roots
of numbers
3. Explore the relationship between
cubes and cube roots using
calculators
Inquiry
Relationship
11/3 12/3 FIRST FORMATIVE TEST
14/3 22/3 SCHOOL HOLIDAY
3. Algebraic
Expressions II
Week 10 - 11
3.1 Understand the concept of
algebraic terms in two or more
unknowns
i. Identify unknowns in algebraic
terms in two or more unknowns
ii. Identify unknowns in 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
1. Student identify unknowns in
given algebraic terms
2. Use examples of everyday
situations to explain algebraic
terms in two or more unknowns
Identify
Relationship
3.2 Perform computations
-involving multiplication and
division of two or more terms
i. Find the product of two algebraic
terms
ii. Find the quotient of two algebraic
term
iii. Perform multiplication and
division involving algebraic terms
1. Explore multiplication and
division of algebraic terms using
the concrete materials or pictorial
representations
2. Perform multiplication and
division
Working Out
Exploration
Week 12 - 13 3.3 Understand the concept of
algebraic expressions
i. Write algebraic expressions for
given situations using letter
1. Use situations to demonstrate the
concept of algebraic expression
Investigation
Recognition
3
-
7/31/2019 form2_2009
4/12
symbols 2. Investigate the difference between
expressions.
LEARNING
AREA/WEEKS
LEARNING OBJECTIVES
Student will be taught to
LEARNING OUTCOMES:
Student will be able to.
TEACHING AND LEARNING
ACTIVITIES
SKILLS/POINTS
TO NOTES
ii. Recognize algebraic expressions
in two or more unknowns
iii. Determine the number of terms in
given algebraic expressions in two
or more unknowns
iv. Simplify algebraic expressions by
collecting like terms
v. Evaluate expressions by
substituting numbers for letters
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
1. Use situations to explain
computations involving algebraic
expressions
2. Add and subtract algebraic
expressions by removing bracket
and collecting like terms01
Relationship
Identification
4. Linear Equations
Week 14 - 15
4.1 Understand and use the
concept of equality
i. State the relationship between two
quantities by using the symbol
= and =
1. Use concrete examples to illustrate
= and =
Illustration
Relationship
4.2 Understand and use the
concept of linear equations in
one unknown
i. Recognize linear algebraic terms
ii. Recognize linear algebraic
expressions
iii. Determine if a given equation is a
a) a linear equation
b) a linear equation in one
unknown
iv. Write linear equations in one
unknown for give statements andvice versa
1. Discuss why given algebraic
terms and expressions are linear
2. Given a list of terms, students
identify linear terms
3. Select linear expressions given a
list of algebraic expressions
4. Select linear equations given a list
of algebraic equations
Recognition
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 and verify linear equations
in one unknown by inspection and
systematic trial, using whole
numbers, with or without the use
1. Use concrete examples to
explain solution of a linear
equation in one unknown
Investigation
Working out
4
-
7/31/2019 form2_2009
5/12
of calculators
LEARNING
AREA/WEEKS
LEARNING OBJECTIVES
Student will be taught to
LEARNING OUTCOMES:
Student will be able to.
TEACHING AND LEARNING
ACTIVITIES
SKILLS/POINTS
TO NOTES
iv. Solve equation in the form of ax +
b = c, where a, b, c are integers
and x is an unknown
v. Solve linear equations in one
unknown
vi. Pose and solve problems
involving
2. Solve equations in the form of:
a) x + a = b
b) x - a = b
c) ax = b
d) x = b
a
Investigation
Working out
5. Ratios,Rates and
Proportions
Week 16 - 17
5.1 Understand the concept of ratio
of two quantities
i. Compare two quantities in the form
a: b
ii. Determine whether given ratios
are equivalent ratios
iii. Simplify ratios to the lowest
terms
iv. State ratios related to a given ratio
1. Use everyday examples to
introduce the concept of ratio
2. Use concrete examples to explore:
a) equivalent ratios
b) related ratios
Exploration
Identification
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 for 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 the difference between the
quantities
vi. Pose and solve problems
involving ratios and proportions
vii. Find the value ofeach of the three quantities
,given:
a) the ratio and the sum oh three
quantities
b) the ratio and the difference
1.Use everyday examples to
introduce the concept of
proportion
2. Verify the method of cross
multiplication and use it to find
the missing terms of a proportion
Investigation
Relationship
Working Out
511/5 29/5 MID TERM EXAM
4/5 15/5 REVISION
-
7/31/2019 form2_2009
6/12
between two of the three
quantities
30/5 14/6 SCHOOL HOLIDAY
LEARNING
AREA/WEEKS
LEARNING OBJECTIVES
Student will be taught to
LEARNING OUTCOMES:
Student will be able to.
TEACHING AND LEARNING
ACTIVITIES
SKILLS/POINTS
TO NOTES
6.0 Phytagoras
Theorem
Week 21
6.1 Understand the relationship
between the sides of a right-
angled triangle
i. Identify the hypotenuse of a right-
angled triangle
ii. Determine the relationship
between the length s of the sides
of a right-angled triangle
iii. Find the length of a missing side
of a right-angled triangle using the
P.T
iv. Find the length of sides of
geometric shapes using the P.T.
v. Solve problems using the P.T
1. Show different cases where the
hypotenuse drawn different
orientation.
Relationship
Identification
6.2 Understand and use the
converse of the P.T.
i. Determine whether a triangle is a
right-angled triangle
ii. Solve problems involving the
converse P.T.
1. Explore and investigate difference
converse of P.T
Exploration
Investigation
7.0 Geometrical
Construction
Week 22
7.1 Perform constructions using
straight edge (ruler and set
square) and compass
i. Construct a line segment of given
length
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 of the line
c)perpendicular to a line passing
through a point of not on the
line
iv. Construct
a) angle of 60o and 120o
b) bisector of an angle
v. Construct triangles given:
a) one side and two angles
b)two sides and one angle
vi. Construct
1. Relate to properties of rhombus
and isosceles triangle
Construction
Thinking
Imagination
6
-
7/31/2019 form2_2009
7/12
a)parallel lines
b) parallelogram given its sides
and an angle
LEARNING
AREA/WEEKS
LEARNING OBJECTIVES
Student will be taught to
LEARNING OUTCOMES:
Student will be able to.
TEACHING AND LEARNING
ACTIVITIES
SKILLS/POINTS
TO NOTES
8.0 Coordinates
Week 23
8.1 Understand and use the
concept of coordinates
i. Identify the x-axis , y axis and the
origin on a Cartesian plane
ii. Plot points and state the coordinate
of the points given distances from
the x-axis and y axis
iii. Plot points and state the distances
of the points from the x-axis and
y axis given coordinates of the
points
iv. State the coordinates of points on
Cartesian plane
Introduce Cartesian Coordinates as a
systematic way of marking the
location of a point
Identification
Notes:
Involve all the 4
quadrants
Week 24 - 25 8.2 Understand and use the
concept of scales for the
coordinate axes
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
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
v. Pose and solve problems using
coordinates
1. Explore the effects of the shapes of
the objects by using different
scales
2. Explore the effects of shapes of
objects using different scales
Emphasize
Investigation
8.3 Understand and use the
concept of distance between
two points on a Cartesian plan
i. Find the distance between two
points
ii. Pose and solve problems involving
distance between two points
1. Discuss different method of
finding distance between two
points
8.4 Understand and use the
concept of midpoints
i. Identify and find the coordinate of
the midpoint
ii. Pose and solve problems
involving midpoints
Introduce the concept of midpoint Investigation
7
21/7 22/7 SECOND FORMATIVE TEST
-
7/31/2019 form2_2009
8/12
9.0 Loci in two
dimensions
Week 27
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
iii. Construct the locus of a set of all
points.
i. Use everyday examples
ii. Discuss the locus og a given
diagrams
Inspection
Working out
LEARNING
AREA/WEEKS
LEARNING OBJECTIVES
Student will be taught to
LEARNING OUTCOMES:
Student will be able to.
TEACHING AND LEARNING
ACTIVITIES
SKILLS/POINTS
TO NOTES
9.2 Understand the concept of the
intersection of two loci
i. Determine the intersection of the
two loci
Use everyday examples to explain. Interpretation
10.0 Circles
Week 28
10.1 Recognize and draw parts of a
circle
i. Identify circle as a set of points
equidistant from a fixed point
ii. Identify parts of a circle
ii. Draw a circle based on the
condition given
iv. Determine the center and radius
of a circle by construction
Introduce the concept of the circle as
a locus
Working out
10.2 Understand and use the
concept of circumference to
solve problems
i. Estimate the value of phi
ii. Derive the formula of the
circumference of a circle
iii. Find the circumference of a circle
iv. Find the diameter and radius
v. Solve problems involving
circumference of a circle
Measure diameter and circumference
of circular objects
Developmental
Week 29 10.3 Understand and use the
concept of arc of a circle to
solve problems
i. Derive the formula of the length of
an arc
ii. Find the length of an arc
iii. Find the angle at the centre
iv. Find the length of radius of a
circle
v. Solve problems involving arcs of a
circle
Explore the relationship between the
length of arc and angle at the
centre
Exploration
Inspection
10.4 Understand and use the
concept of area of a circle to
solve problems
i. Derive the formula of the area of a
circle
ii. Find the area, radius or diameter
of a circle
iii. Solve problems involving area of
a circle
Explore the relationship between the
radius and the area
Include finding the
area of the annulus
22/8 30/8 SCHOOL HOLIDAY
31/8 NATIONAL DAY
Week 30 10.5 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
Include combined shapes Investigation
Working out
8
-
7/31/2019 form2_2009
9/12
iii. Find the angle at the centre
iv. Find the radius
v. Solve problems involving area of a
sectors and area of circles
LEARNING
AREA/WEEKS
LEARNING OBJECTIVES
Student will be taught to
LEARNING OUTCOMES:
Student will be able to.
TEACHING AND LEARNING
ACTIVITIES
SKILLS/POINTS
TO NOTES
11.0 Transformations
Week 31 - 32
11.1 Understand the concept of
transformation
i. Identify a transformation as a one
to one correspondence
Explore the concept of transformation
using concrete materials
Inquiry
11.2 Understand and use the
concept of translation
i. Identify a translation
ii. Determine the image of an object
under a translation
iii. Describe a translation
a)by stating the direction and
movement in
b) in the form
b
a
iv. Determine the properties oftranslation
v. Determine the coordinates under a
translation of the image or objects
vi. Solve problems involving
translations
Explore translation given in the form
b
a
Explore the concept of images and
objects under a translation
Working out
investigate
11.3 Understand and use the
concept of reflection
i. Identify a reflection
ii. Determine the image of an object
under a reflection
iii. Determine the properties of
reflections
iv. Determine the image of an object
and the axis of reflectionv. Determine the coordinates of the
image or objects
vi. Describe a reflection
vii. Solve problems involving
reflections
Explore the image of an object by
drawing
Explore the concept of images and
objects under a reflection
Investigation
Working out
11.4 Understand and use the
concept of rotation
i. Identify a rotation
ii. Determine the image of an object
under a rotation
iii. Determine the properties of
rotation
iv. Determine the image of an object
Explore the image of an object by
drawing
Explore the concept of images and
objects under a rotation
Investigation
Working out
9
-
7/31/2019 form2_2009
10/12
and the axis of rotation
v. Determine the coordinates of the
image or objects
vi. Describe a rotation
vii. Solve problem involving rotation
LEARNING
AREA/WEEKS
LEARNING OBJECTIVES
Student will be taught to
LEARNING OUTCOMES:
Student will be able to.
TEACHING AND LEARNING
ACTIVITIES
SKILLS/POINTS
TO NOTES
Week 33 12.5 Understand and use the
concept of isometry
i. identify an isometry
ii. Determine whether a given
transformation is an isometry
iii. Construct pattern using isometry
Explore isometry by drawing Investigation
12.6 Understand and use the
concept of congruence
i. Identify if two figures are
congruent
ii. Identify congruency between two
figures
iii. Solve problems involving
congruence
Explore congruency under
translations, reflections and
rotations
Identification
12.7 Understand and use the
properties of quadrilaterals
using concepts of
transformations
i. Determine the properties of
quadrilateral using reflections
and rotations
Explore the properties of various
quadrilaterals
Investigation
13.0 Solid Geometry
II
Week 34 - 35
13.1 Understand geometric
properties of prisms,
pyramids, cylinders, cones
using concrete models
i. State the geometric properties of
prisms , pyramids, cylinders,
cones and spheres
Explore and investigate properties of
geometric solids using concrete
models
Investigation
13.2 Understand the concept of
nets
i. Draw nets for prisms , pyramids,
cylinders, cones and spheres
ii. State the types of solids given their
nets
ii. Construct the types of solids given
their nets
Explore the similarities and
differences between nets of solids
Relationship
13.3 Understand the concept of
surface area
i. State and calculate the surface area
of prisms , pyramids, cylinders,
cones and spheres
ii. Calculate the surface area of
spheres using the standard
formula
iv. Find dimensions of a solid
v. Solve problems involving surface
areas
Explore and derive the formulae of
the surface areas
Working out
14.0 Statistics 14.1 Understand the concept of i. Classify data according to those Discuss methods of collecting data Investigation
10
-
7/31/2019 form2_2009
11/12
Week 36 data can be collected by counting and
measuring
ii. Collect and record data
systematically
LEARNING
AREA/WEEKS
LEARNING OBJECTIVES
Student will be taught to
LEARNING OUTCOMES:
Student will be able to.
TEACHING AND LEARNING
ACTIVITIES
SKILLS/POINTS
TO NOTES
14.2 Understand the concept of
frequency
i. Determine the frequency of data
ii. Determine the data of different
frequency
iii. Organize data by constructing
tally charts and frequency tables
iv. Obtain information from
frequency tables
Use activities to introduce the
concept of frequency
Relation
Week 37 14.3 Represent and interpret data
in
i. pictograms
ii. bar charts
iii. line graphs
i. Construct pictograms to represent
data
ii. Obtain information from
pictograms
iii. Solve problems involving
pictograms
iv. Construct bar charts to represent
data
v. Obtain information from bar
charts
vi. Solve problems involving bar
charts
vii. Represent data using line graphs
vii. Obtain information
from line graphs
viii. Solve problems
involving line graphs
Use everyday situations to introduce
pictograms, bar charts and line
graphs
Application
27/10 6/11 FINAL EXAM
21/11 3/1 HOLIDAY
PREPARED BY,
____________________________
(NUR BAIZURA BINTI ABDUL RASHID)
FORM 3 MATHEMATICS TEACHER
11
-
7/31/2019 form2_2009
12/12
CHECKED BY,
____________________________
(PN SYARUL BARIAH BINTI SAJURI)
CHIEF OF SCIENCE AND MATHEMATICS STUDY
VERIFIED BY,
____________________________
(PN HJH ZALILA BINTI JUNID)
SMK TG ADANG PRINCIPAL
12