Months

Months

Date

WeekLearning area / ThemeLearning objectiveLearning outcomesActivity

2/1-10/1

(1-2)1

Lines and Angles II

Theme: Shapes and Spaces1.1 Understand and use properties of angles associated with transversal and parallel lines

All students will be able to

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 180

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.

Circle map

13/1-17/1

(3)2

Polygons II

Theme: Shapes and Spaces2.1 Understand the concept of regular polygonsAll students will be able to

i) Determine if a given polygon is a regular polygon

ii) Find:

a) the axes of symmetry

b) the number of axes of symmetry of a polygon.

iii) Sketch regular polygons.

iv) Draw regular polygons by dividing equally the angle at the centre

v) Construct equilateral triangles, squares and regular hexagons.

Bubble Map

2.2 Understand the use of the knowledge of exterior and interior angles of polygons.i) identify the interior angles and exterior angles of a

polygon.

ii) Find the size of an exterior angle when the interior

angle of a polygon is given and vice versa.

iii) Determine the sum of the interior angles of the polygons

iv) Determine the sum of the exterior angles of polygons.

v) Find:

a) the size of an interior angle of a regular polygon given the

number of sides.

b) the size of an exterior angle of a regular polygon given

the number of sides.

c) the number of sides of a regular polygon given the size

of the interior or exterior angle.

vi) Solve problems involving angles and sides of polygons

20/1-24/1(4)3

Circles II

Theme: Shapes and Spaces3.1 Understand and use properties of circles

involving symmetry, chords and arcs.All students will be able to

i) Identify a diameter of a circle as axis of symmetry.

ii) Determine that:

a) a radius that is perpendicular to a chord divides the chord into two equal parts and vice versa.

b) Perpendicular bisectors of two chords intersect at the centre.

c) Two chords that are equal in length are equidistant from the centre and vice versa.

d) Chords at the same length cut arcs of the same length.

iii) Solve problems involving symmetry, chords and arcs of circles.

3.2 Understand and use the properties of angles in circlesi) Identify angles subtended by an arc at the centre and at the circumference of a circle.

ii) Determine that angles subtended at the circumference by the same arc are equal.

iii) Determine the angles subtended

a) At the circumference

b) At the centre

by arcs of the same length are equal.

iv) Determine the relationship between the angle at the circumference in a semicircle.

v) Determine the size of an angle subtended at the circumference in a semicircle.

vi) Solve problems involving angles subtended at the centre and angles at circumference of circle.

Bubble Map

14/1MAULIDUR RASUL

15/1HARI THAIPUSAM

27/1-31/1(5)

3.3 Understand and use the concept of cyclic quadrilateralsAll students will be able to i) Identify cyclic quadrilaterals.

ii) identify interior opposite angles of cyclic quadrilaterals.

iii) Determine the relationship between the interior opposite angles of cyclic quadrilaterals.

iv) Identify exterior angles and the corresponding interior opposite angle of cyclic quadrilaterals.

v) Determine the relationship between exterior angle and the corresponding interior opposite angle of cyclic quadrilaterals.

vi) Solve problems involving angles of cyclic quadrilaterals.

vii) Solve problems involving circles.

3/2-7/2

(6)

4

Statistics II

Theme: Relationships4.1 Represent and interpret data in pie charts to solve problemsAll students will be able toi) Obtain and interpret information from pie charts.

ii) Construct pie charts to represent data.

iii) Solve problems involving pie charts.

iv) Determine suitable representation of data.

Tree Map

4.2 Understand and use the concept of mode, median and mean to solve problems.i) Determine the mode of:

a) sets of data

b) data given in frequency tables

ii) determine the mode and the respective frequency from respective pictographs, bar charts, line graphs and pie charts.

iii) Determine the median for sets of data.

iv) Determine the median of data in frequency tables.

v) Calculate the mean of :

a) sets of data

b) data in frequency tables

vi) Solve problems involving mode, median and mean.

31/1-1/2TAHUN BARU CINA

10/2-14/2(7)

5

Indices

Theme: Relationships5.1 Understand and use the concept of indicesAll students will be able to

i) Express repeated multiplication as an and vice versa.

ii) Find the value of an.

iii) Express numbers in index rotation.

Tree Map

5.2 Perform computations involving multiplication of numbers in index rotation

i)Verify aman =am+nii) Simplify multiplications of:

a) numbers

b) algebraic terms

expressed in index notation with the same base.

iii) Simplify multiplication of :

a) numbers

b) algebraic terms

expressed in index notation with different base.

5.3 Perform computations involving division of numbers in index notationi) Verify aman =am-nii) Simplify :

a) numbers

b) algebraic terms

expressed in index notation with the same base.

5.4 Perform computations involving rising numbers and algebraic terms in index notation to a poweri) Derive (am)n =amn.

ii) Simplify:

a) numbers

b) algebraic terms

expressed in index notation raised to a power.

iii) Simplify multiplication and division of:

a) numbers

b) algebraic terms

expressed in index notation with different bases raised to a power.

iv) Perform combined operations involving multiplication, division and raising to a power involving negative indices on:

a) numbers

b) algebraic terms

17/2 21/2(8)5

Indices

Theme: Relationships5.5 Perform computations involving negative indicesAll students will be able toi) Verify a-n=1/anii) State a-n as 1/an and vice versa.

iii) Perform combined operations of multiplication, division and raising to a power involving negative indices on:

a) numbers

b) algebraic terms

5.6 Perform computations involving fractional indicesi) Verify a1/n = na

ii) State a1/n as na and vice versa

iii) Find the value of a1/niv) State am as:

a) (am)1/n or (a1/n)mb) nam or (na)mv) Perform combined operations of multiplication, division and raising to a power involving fractional indices on:

a) numbers

b) algebraic terms

vi) Find the value of am/n

5.7 Perform computations involving laws of indicesi) Perform multiplication, division, raised to a power or combination of these operations on several numbers expressed in index notation.

ii) Perform combined operations of multiplication, division, raised to a power involving positive, negative and fractional indices.

24/2 7/3(9-10)6

Algebraic Expression II

Theme: Relationships6.1 Understand and use the concept of expanding bracketsAll students will be able toi) Expand single brackets.

ii) Expand two brackets.

6.2 Understand and use the concept of factorisation of algebraic expression to solve problemsi) State factors of an algebraic term.

ii) State common factors and the HCF for several algebraic terms.

iii) Factorise algebraic expression:

a) using common factor

b) the difference of two squares.

iv) Factorise and simplify algebraic fractions

6.3 Perform addition and subtraction on algebraic fractionsi) Add or subtract two algebraic fractions with the same denominator.

ii) Add or subtract two algebraic fractions with one denominator as a multiple of the other denominator.

iii) Add or subtract two algebraic fractions with denominators:

a) without any common factors

b) with a common factors

6.4 Perform multiplication and division on algebraic fractionsi) Multiply two algebraic fractions involving denominator with

a) one term

b) two term

ii) Divide two algebraic fractions involving denominator with

a) one term

b) two term

iii) Perform multiplication and division of two algebraic fractions using factorisation involving common factors and the different two squares.

10/3 21/3

(11-12)7

Algebraic Formulae

Theme: Relationships7.1 Understand and use the concept of variables and constantsAll students will be able toi) Determine if a quantity in a given situation is a variable or a constant.

ii) Determine the variable in a given situation and represent it with a letter symbol.

iii) Determine the possible values of a variable in a given situation.

7.2 Understand and use the concept of formulae to solve problemsi) Write a formula based on a given:

a) statement

b) situation

ii) Identify the subject of a given formula.

iii) Express a specified variable as the subject of a formula involving

a) one of the basic operations ; +,-,,

b) power or roots

c) Combination of the basic operations and powers or roots.

iv) Find the value of a variable when it is :

a) the subject of the formulae

b) not the subject of the formulae

v) Solve problems involving formulae

10/3 21/3

(11-12)PENILAIAN KURIKULUM I

24/3- 28/3CUTI PERTENGAHAN PENGGAL 1

31/3-11/4

(13-14)

8

Solid Geometry III

Theme: Shapes and Spaces8.1 Understand and use the concept of volume of right prisms and right circular cylinders to solve problems All students will be able to

i) Derive the formula for volume of :

a) prisms

b) cylinders

ii) Calculate the volume of a right prism in cubic units given the height and :

a) the area of the base

b) dimensions of the base

iii) Calculate the height of a prism given the volume and the area of the base.

iv) Calculate the area of the base of a prism given the volume and the height.

v) Calculate the volume of a cylinder in cubic units given:

a) area of the base and the height

b)radius of the base and the height of the cylinder.

vi) Calculate the height of a cylinder, given the volume and the radius of the base.

vii) Calculate the radius of the base of a cylinder given the volume and the height.

viii) Convert volume in one metric unit to another:

a) mm3, cm3, m3b) cm3, ml , l

ix) Calculate the volume of liquid in a container.

x) Solve problems involving volume of prisms and cylindersBubble Map

8.2 Understand and use the concept of volume of right pyramids and right circular cones to solve problemsi) Derive the formula for the volume of:

a) pyramids

b) cones

ii) Calculate the volume of pyramids in mm3, cm3 and m3 , given the height and

a) area of the base

b) dimensions of the base

iii)Calculate the height of a pyramid given the volume and the dimension of the base.

iv) Calculate the area of the base of a pyramid given the volume and the height.

v) Calculate the volume of a cone in mm3, cm3 and m3, given the height and radius of the base.

vi) Calculate the height of a cone, given the volume and the radius of the base.

vii) Calculate the radius of the base of a cone given the volume and the height.

vii) Solve problems involving volume of pyramid and cones

8.3 Understand and use the concept of volume of sphere to solve problemsi) Calculate the volume of a sphere given the radius of the sphere.

ii) Calculate the radius of a sphere given the volume of the sphere.

iii) Solve problems involving volume of spheres.

8.4 Apply the concept of volume to solve problems involving composite solids.i) Calculate the volume of composite solids.

ii) Solve problems involving volumes of composite solids.

14/4- 18/4(15)

9

Scale Drawings

Theme: Shapes and Spaces9.4 Understand and use the concept of drawingsAll students will be able to

i) Sketch shapes :

a) of the same size as the

object

b) smaller than the object

c) larger than the object

using grid papers

ii) Draw geometric shapes according to scale1: n, where n=1,2,3,4,5,1/2,1/10

iii) Draw composite shapes according to a given scale using :

a) grid papers

b) blank papers

iv) Redraw shapes on grids of different sizes.

v) Solve problems involving scale drawings

21/4-25/4(16)

10

Transformations II

Theme: Shapes and Spaces10.1 Understand and use the concept of similarityAll students will be able to

i) Identify if given shapes are similar.

ii) Calculate the lengths of unknown sides of two similar shapes.

10.2 Understand and use the concept of enlargement i) Identify the enlargement.

ii) Find the scale factor, given the object and its image of and enlargement when :

a) scale factor > 0

b) scale factor < 0

iii) Determine the centre of the enlargement, given the object and its image

iv) Determine the image of object given the centre of enlargement and the scale factor.

v) Determine the properties of enlargement.

vi) Calculate the:

a) scale factor

b) the lengths of sides of the image

c) the lengths of sides of the object of an enlargement.

vii) Determine the relationship between the area of the image and its object.

viii) Calculate the:

a) area of image

b) area of object

c) scale factor of an enlargement.

ix) Solve problems involving enlargement.

28/4-2/5

(17)

11

Linear Equations II

Theme: Relationships

11.1

Understand and use the concepts of linear equations in two variables.

All students will be able to

i) Determine if an equation is a linear equation in two variables.

ii) Write linear equations in two variables from given information.

iii) Determine the value of a variable given the other variables.

iv) Determine the possible solutions for a linear equation in two variables.

1/5HARI PEKERJA

5/5 27/5

(18-21)PEPERIKSAAN PERTENGAHAN TAHUN

13/5HARI WESAK

28/5 13/6CUTI PERTENGAHAN TAHUN

16/6 20/6

(22)11.2

Understand and use the concepts of two simultaneous linear equations in two variables to solve problems.i) Determine if two given equations are simultaneous linear equations.

ii) Solve two simultaneous linear equations in two variables by

a) substitution

b) elimination

iii) Solve problems involving two simultaneous linear equations in two variables.

23/6 - 4/7(23-24)

12

Linear Inequalities

Theme: Relationships12.1

Understand and use the concepts of inequalities.All students will be able to

i) Identify the relationship:

a) greater than

b) less than based on given situations.

ii) Write the relationship between two given numbers using the symbol > or h;

b) x < h;

c) x ((h;

d) x ((h.

iii) Represent a linear inequality:

a) x > h;

b) x < h;

c) x ((h;

d) x ((h.

on a number line and vice versa.

iv) Construct linear inequalities using symbols:

a) > or <

b) ( or (((

from given information.

7/7-18/7(25-26)

12

Linear Inequalities

Theme: Relationships12.3

Perform

computations involving addition,

subtraction,

multiplication and division on linear inequalities.All students will be able to

i) State a new inequality for a given inequality when a number is:

a) added to

b) Subtracted from both sides of the inequalities.

ii) State a new inequality for a given inequality when both sides of the inequality are:

a) multiplied by a number

b) divided by a number.

iii) Construct inequalities

a) x + k >(m + k

b) x k >(m k

c) kx >(km

d) x > m k k

from given information.

12.4

Perform

computations to

solve inequalities in one variable.All students will be able to

i) Solve a linear inequality by:

a) adding a number

b) subtracting a number

on both sides of the inequality.

ii)Solve a linear inequality by

a) multiplying a number

b) dividing a number

on both sides of the inequality.

iii) Solve linear inequalities in one variable using a combination of operations.

12.5

Understand the concepts of

simultaneous

linear inequalities in one variable.i) Represent the common values of two simultaneous linear inequalities on a number line.

ii) Determine the equivalent inequalities for two given linear inequalities.

iii) Solve two simultaneous linear inequalities.

15/7NUZUL AL-QURAN

21/7 1/8

(27-28)PEPERIKSAAN PERCUBAAN PBSMR 2014

4/8-8/8(29)13

Graphs of Functions

Theme: Relationships13.1

Understand and use the concepts of functions.All students will be able to

i) State the relationship between two variables based on given

information.

ii) Identify the dependent and independent variables in a given relationship involving two variables.

iii) Calculate the value of the dependent variable, given the value of the independent variable.

Part-whole relationships

13.2

Draw and use graphs of functions.i) Construct tables of values for given functions.

ii) Draw graphs of functions using given scale.

iii) Determine from a graph the value of y, given the value of x and vice versa.

iv) Solve problems involving graphs of functions.

11/8-15/8(30)14

Ratio, Rate and Proportion II

Theme: Relationships14.1

Understand the concepts of rates and perform computations involving rate.All students will be able to

i) Determine the rate involved in given situations and identify the two quantities involved.

ii) Calculate the rate given two different quantities.

iii) Calculate a certain quantity given the rate and the other quantity.

iv) Convert rates from one unit of measurement to another.

v) Solve problems involving rate.

Part-whole relationships

14.2

Understand and use the concept of speed.i) Identify the two quantities involved in speed.

ii) Calculate and interpret speed.

iii) Calculate:

a) the distance, given the speed and the time

b) the time, given the speed and the distance.

iv) Convert speed from one unit of measurement to another.

v) Differentiate between uniform speed and non-uniform speed.

14.3

Understand and use the concepts of average speed.i) Calculate the average speed in various situations.

ii) Calculate:

a) the distance, given the average speed and the time.

b) the time, given the average speed and the distance.

iii) Solve problems involving speed and average speed.

14.4

Understand and use the concepts of acceleration.i) Identify the two quantities involved in acceleration.

ii) Calculate and interpret acceleration.

18/8-22/8(31)

15

Trigonometry

Theme: Shapes and Spaces15.1

Understand and use tangent of an acute angle in a right-angled triangle.All students will be able to

i) Identify the:

a) hypotenuse

b) the opposite side and the adjacent side with respect to one of the acute angles.

ii) Determine the tangent of an angle.

iii) Calculate the tangent of an angle given the lengths of sides of the triangle.

iv) Calculate the lengths of sides of a triangle given the value of tangent and the length of another side.

Bubble map

15.2

Understand and use sine of an acute angle in a right-angled triangle.i) Determine the sine of an angle.

ii) Calculate the sine of an angle given the lengths of sides of the triangle.

iii) Calculate the lengths of sides of a triangle given the value of sine and the length of another side.

15.3

Understand and use cosine of an acute angle in a right-angled triangle.i) Determine the cosine of an angle.

ii) Calculate the cosine of an angle given the lengths of sides of the triangle.

iii) Calculate the lengths of sides of a triangle given the value of cosine and the length of another side.

15.4

Use the values of tangent, sine and cosine to solve problems.i) Calculate the values of other trigonometric ratios given the value of a trigonometric ratio.

ii) Convert the measurement of angles from:

a) degrees to degrees and minutes.

b) degrees and minutes to degrees.

iii) Find the value of:

a) tangent

b) sine

c) cosine

of 30, 45 and 60 without using scientific calculator.

iv) Find the value of:

a) tangent

b) sine

c) cosine using scientific calculator.

v) Find the angles given the values of:

a) tangent

b) sine

c) cosine using scientific calculators.

vi) Solve problems involving trigonometric ratios.

25/8-29/8(32)Fractional number perform computation involving fractional number Solve the problems involving fractional number by showing the workings.

28/8-29/8HARI RAYA PUASA

31/8HARI KEBANGSAAN

1/9-5/9(33)

Lines and Angles Understand and use properties of angles associated with intersecting lines to solve problems.

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

- Determine the value of an angle on a line, given the adjacent angle.

- Solve problems involving angles formed by intersecting lines.

- Solve problems involving properties of angles associated with transversals.

TransformationsUnderstand and use the concept of translations, reflections, rotations, and enlargement.- Identify a translation, reflections, rotations, and enlargement.

- Describe a translation, reflections, rotations, and enlargement.

8/9-12/9(34)Algebraic ExpressionPerform computations involving multiplication and division of two or more terms.

Perform computations involving algebraic expressions.- Simplify algebraic expressions by combining the like terms.

- Perform multiplication and division involving algebraic terms.

- Simplify algebraic expressions.

Linear EquationUnderstand the

concept of

solutions of linear

equations in one

unknown

Understand and use the concepts of two simultaneous linear equations in two variables to solve problems.- Solve linear equations in one unknown

- Solve problems involving two simultaneous linear equations in two variables.

Linear InequalitiesPerform computations on linear inequalities.- State the possible integers for two linear inequalities.

15/9-19/9CUTI PERTENGAHAN PENGGAL 2

16/9HARI MALAYSIA

22/9-26/9(35)Loci in Two DimensionsUnderstand the concept of two dimensional loci.

Understand the concept of the intersection of two loci.- 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.

Determine the intersections of two loci by drawing the loci and locating the points that satisfy the conditions of the two loci.

Geometrical ConstructionsPerform constructions

using straight

edge (ruler and set square) and compass.- Construct:

a) angle of 60 and 120

b) bisector of an angle.

c) a triangle given the length of the sides.

d) parallelogram given its sides and an angle.

e) perpendicular bisector of a given line segment

f) perpendicular to a line passing through a point on the line

g) perpendicular to a line passing through a point not on the line.

29/9-3/10(36)Directed NumbersPerform computations involving directed numbers (integers, fractions and decimals).- Perform addition, subtraction, multiplication or division involving two directed numbers.

- Perform computations involving combination of two or more operations on directed numbers including the use of brackets.

Perimeter and AreaUnderstand the concept of area of triangles, parallelograms and trapezium to solve problems.- Identify the heights and bases of triangles, parallelograms and trapeziums.

- Find the areas of triangles, parallelograms and trapeziums.

CirclesUnderstand and use the concept of area of a circle and area of sector of a circle to solve problems.- Solve problems involving area of sectors and area of circles.

5/10HARI RAYA QURBAN

6/10-10/10(37)PBSMR Model Papers

(Revision)Understand the format for PBSMR examination paper- Solve the questions with correct method.

13/10-17/10

(38)PBSMR

20/10-31/10(39-40)

Activities/

Programs after PMRChess - building up self confidence

Saidina -inculcating spirit of cooperation

UNO - having analytical logical and rational thinking

Bingo

Sodoku

Magic Mathematics

23/10DEEPAVALI

3/11-21/11

(41-43)

Activities/

Programs after PMRColour Magic - being systematic

Human Chess - being imaginative

Mini Treasure Hunt - building up self confidence

Lawatan ke Pusat Sains

Negara dan Aquaria

20/11AWAL MUHARAM

11/12HARI KEPUTERAAN SULTAN SELANGOR

25/12KRISMAS

24/11-31/12YEAR END BREAK

Prepared by,

Checked by,

Verified by,

. .................

...

( HANNAN BT NASHRUDDIN & (PN ROHASINAR SURIA)

(PN SHAISTA TABASSUM BT

NUR SAFAWATI BT SHUKOR) Ketua Panitia Matematik

AYAZ AHMAD)

Ketua Bidang Sains & Matematik

SMK SEKSYEN 10 KOTA DAMANSARA

SCHEME OF WORK MATHEMATICS FORM 3

2014