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


LEARNING OUTCOMES:



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


concept of square


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


LEARNING OUTCOMES:



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


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


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


LEARNING OUTCOMES:



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


concept of equality

i. State the relationship between two

quantities by using the symbol

= and =

1. Use concrete examples to illustrate

= and =

Illustration

Relationship


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


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


LEARNING OUTCOMES:



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


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


LEARNING

AREA/WEEKS

LEARNING OBJECTIVES


LEARNING OUTCOMES:



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


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


LEARNING OUTCOMES:



ACTIVITIES

SKILLS/POINTS

TO NOTES

8.0 Coordinates

Week 23


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


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


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


LEARNING OUTCOMES:



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


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


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


31/8 NATIONAL DAY


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


LEARNING OUTCOMES:



ACTIVITIES

SKILLS/POINTS

TO NOTES

11.0 Transformations

Week 31 - 32


transformation

i. Identify a transformation as a one

to one correspondence

Explore the concept of transformation

using concrete materials

Inquiry


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


concept of reflection

i. Identify a reflection


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


objects under a reflection

Investigation

Working out


concept of rotation

i. Identify a rotation


under a rotation

iii. Determine the properties of

rotation

iv. Determine the image of an object

Explore the image of an object by

drawing


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


LEARNING OUTCOMES:



ACTIVITIES

SKILLS/POINTS

TO NOTES


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


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


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


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


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


LEARNING OUTCOMES:



ACTIVITIES

SKILLS/POINTS

TO NOTES


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

form2_2009

Documents