YEARLY LESSON PLAN 2012 SEKOLAH

: SMK AYER HANGAT

TINGKATAN : 3

MATA PELAJARAN : MATEMATICS

Date/ WeekLearning AreaLearning ObjectivesLearning Outcomes

2/1 6/1 (WEEK 1)

1 .LINES AND ANGLES (II)

Students will be taught to :

Identify properties of angles associated with transversals and parallel lines..

Identify properties of angles associate with parallel lines.

Find the value of an angle in associated with parallel lines.

Identify parallel lines, based on the properties of angles associated with transversals.

Solving problems involving angles associated with transversal.Students will be able to :

i. Associate transversal and parallel lines with

Corresponding angles

Alternate angles

Interior angles

ii. Associate properties of angles-

Corresponding angles are equal.

Alternate angles are equal

The interior angles on the same side of transversal are supplementary.

The sum of interior angles is 180

i. find unknown angles.

Determine if two given lines are paralleled.

9/1 20/1(WEEK 2 & 3)4. STATISTICS (II)

Students will be taught :

Pie Chart

Mode , Median and Mean

Students are able to:

i. Construct a pie chart

ii. Obtain and interpret information from Pie Charts.

iii. Solving problems involving Pie Charts.

iv. Determine suitable representation of data.

i. determine the mode for a set of data

ii. determine the mode and its corresponding frequency from Pictograms, Bar Charts, Line Graphs And Pie Charts.

iii. Determine the Median for a Set of Data.

iv. Determine the Median For data in a frequency table.

v. Calculate the Mean for a set of data

vi. Solving problems Involving Mode, Median and Mean.

16/1/2011 Cuti Hari Keputeraan KDYMM Tuanku Sultan

24/1 27/1(WEEK 4)13. GRAPHS OF FUNCTIONS

Students will be taught to derive :

Functions

Graphs of FunctionsStudents will be able to :

i. relationship between two variables

ii. dependent variable and independent variable

iii. calculating the value of a dependent variable

i. constructing a table of values

ii. drawing a graph of functions

iii. determining the values of variables from a graph

iv. solving problems involving graphs of functions

30/1 2/2(WEEK 5)9. SCALLE DRAWINGS

Students will be taught to recognize :

Scale drawings

Students will be able to :

i. Sketching shapes

ii. Drawing geometric shapes according to scale 1 : n

iii. Drawing composite shapes according to scales.

iv. Drawing composite shapes according to given scales on grids of different sizes.

v. Redrawing shapes on grids of different sizes

vi. Solving problems involving scales drawings

3/2 4/2Cuti Tahun Baru Cina

6/2 10/2(WEEK 6)7.ALGEBRAIC FORMULA

Students will be taught to recognize :

Variables And Constants

Formula

Students will be able to:

i. Determine if a Quantity is a Variable or Constant.

ii. Determining And Representing A Variable

iii. Determining the possible values of a variable.

i. Writing a formula based on statements and situations

ii. Identifying The Subject Of A Given Formula

13/2 17/2(WEEK 7)

14. RATIOS, RATES AND PROPORTIONS (II)

Students will be taught to

rate

speed

average speed

Students will be able to :

i. determining rate and the two qualities involved

ii. calculating rates

iii. calculating certain qualities

iv. changing units for rates

i. two qualities for speed

ii. calculating and interpreting speed

i. calculating the average speed

ii. calculating the distance and the time for average speed

20/2 3/3(WEEK 8 & 9)11. LINEAR EQUATIONS (II)

Students will be taught to:

Linear equations in two variables

Simultaneous linear equations in two variables.

Students will able to :

i. Identifying linear equations in two variables

ii. Deriving a linear equation in two variables

iii. Determining the value of a variable

iv. Determining a possible solutions for a linear equation in two variables

i. identifying simultaneous linear equations

ii. solving simultaneous linear equations in two variables

solving problems involving simultaneous linear equations in two variables.

6/3 10/3(WEEK 10)12. LINEAR INEQUALITIES

Students will be taught to :

write inequalities

Linear inequalities in one unknown

Students will be able to :

i. relationship of the greater than and less than

ii. expressing the relationship between two number

iii. the relationship of Greater than or equal to and Less than or equal to

i. identifying linear inequalities

6/3 8/3Ujian Selaras 1

11/3 19/3Cuti pertengahan penggal pertama

20/3 24/3

( WEEK 11)Students will be taught to identify:

simultaneous linear inequalities in one variable.

Students will be able to :

i. representing the common values of two linear inequalities on a number line.

ii. Determining the equivalent inequalities for two linear inequalities

iii. Solving two simultaneous linear inequalities

27/3 31/3(WEEK 12)10. TRANSFORMATIONS (II)

Students will be taught to :

Similarity of shapes

Enlargement

Students will be able to :

i. Writing similarity of shapes

ii. Calculating the length of unknown sides of two similar shapes.

i. identifying an enlargement

ii. finding the scale factor

iii. determining the centre of enlargement

iv. determining the properties of enlargement

v. calculating the scale factor and length of the sides of an image or object.

vi. Determining the relationship between the area of the image and its object

vii. Calculating the area of an image or object and scale factor

viii. Solving problems involving enlargement

3/4 7/4(WEEK 13)15. TRIGONOMETRY

Students will be taught to

tangent of an acute angle in a right-angled triangle

sine of an acute angle in a right-angled triangle

cosine of an acute angle in a right- angled triangle

Students will be able to :

i. identifying the hypotenuse, opposite side and adjacent side

ii. determining the tangent of an angle

iii. calculating the tangent of an angle

iv. calculating the length of sides of a triangle

i. determining the sine of an angle

ii. calculating the side of an angle

iii. calculating the length of sides of a triangle

i. determining cosine of an angle

ii. calculating the cosine of an angle

iii. calculating the length of sides of a triangle

10/4 21/4(WEEK 14 & 15)6. ALGEBRAIC EXPRESSION (III)

Students will be taught

Expanding Brackets

Addition and Subtraction Of Algebraic Fractions.

Multiplication and Division Of Algebraic FractionsStudents will be able to:

i. Expanding single brackets

ii. Expanding two brackets

i. Adding or Subtracting Two Algebraic Fractions With similar denominators.

ii. Adding or Subtracting Two Algebraic Fractions With different Denominators.

i. Multiplying Algebraic Fractions

ii. Dividing of Algebraic Fractions

24/4 5/5(WEEK 16 & 17)2. Polygons II

Students will be taught to :

Determine Regular Polygons.

Determine the axes of symmetry in a polygon.

Sketching / Drawing Regular Polygons.

Constructing an equilateral triangle. Square and a regular hexagon.

Identify interior angles and exterior angles of a polygon

Students will be able to :

i. Determine regular polygons having equal sides and all interior angles are equal.

ii. Determine all regular polygons having number of axes of symmetry.

iii. Determine regular polygons having equal number of sides.

i. Construct a polygon.

ii. Determine whether polygons are regular or irregular.

i. determine the exterior angle and interior angle of a polygon are supplementary .

Students will be taught to :

Determine the sum of the exterior angle of a polygon.

Determine the size of the interior angle, exterior angle and the number of sides of a regular polygon.

Students will be able to :

i. find the sum of the exterior angles of a polygon.

i. find the interior angle and exterior angle of a regular polygon when number of sides of polygon is given.

ii. calculate the interior angle of a regular polygon with n sides

Interior angle = (n-2) X 180

n

iii. Find the exterior angle of a regular polygon

Exterior angle = 360 Number of sides

= 360 n

= sum of interior angles

number of sides

Students will be taught to :

Solve problems involving angles and sides of a polygon.Students will be able to :

iv. calculate the number of sides of a regular polygon when the interior angles are given.

n = 360 exterior angle

n = 360 180 - interior angle

8/5 19/5(WEEK 18 & 19)3. Circles (II)

Students will be taught to identify :

properties of circles involving symmetry , chords and arcs

properties of angles in a circle

Students will be able to determine :

i. the diameter of a circle as an axis of symmetry.

the properties of chords.

ii. Solve problems involving symmetry, chords and arc of circles

i. angles subtended by an arc.

ii. angles substended at the circumference by the same arc.

iii. angles subtended at the circumference of the centre by arcs of the same length.

iv. Relationship between angle at the centre and angle at the circumference which are subtended by the same arc.

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

vi. Solving problems involving subtended angles at the centre and circumference.

Students will be taught to determine :

Cyclic Quadrilaterals

Students will be able to identify :

Cyclic quadrilaterals

The Interior opposite angles of cyclic quadrilaterals

The relationship between interior opposite angles of a cyclic quadrilateral

The exterior angle and its corresponding interior opposite angle of a cyclic quadrilateral

The relationship between the exterior angles and their corresponding interior opposite angles of a cyclic quad

Solving problems involving circles

22/5 26/5(WEEK 20)5. INDICES

Students will be taught

Indices

Simplification of numbers in Index Notation

Division Of Numbers In Indices Form

Students will be able to

i. express repeated multiplication as a and vice versa.

ii. express numbers in index notation

i. verify a X a = a

ii. simplify multiplication of Numbers Or Algebraic Terms In Index Notation With the Same Base.3 X 3 = (3 X 3 ) X(3 X 3 X 3 )= 3

iii. simplify Multiplication Of Numbers Or Algebraic Terms Expressed In Index Notation With Different Bases.

i. simplify the division of Numbers Or Algebraic Terms Expressed In Index Notation With The same Base.

22/5 24/5Peperiksaan Pertengahan Tahun 2011

27/5 11/6Cuti pertengahan tahun

12/6 16/6

(WEEK 21)Students will be taught

Index Expressions Raised To A Power

Negative Integer Indices

Students will be able to :

i. Derive .

ii. Simplify numbers or algebraic terms expressed in index notation raised to a power.

iii. Simplify multiplication and division of numbers and algebraic terms expressed in index notation raised to a power

iv. Perform combined operations involving numbers and algebraic terms

i. verifying a =

ii. stating a as and vice versa

iii. Compute combined operation on numbers and Algebraic Terms With Negative indices.

Students will be taught:

Fractional Indices

Calculation that involves Law Of Indices.Students will be able to

i. verifying a =

stating a as and vice versa

ii. finding the value of a

iii. stating a

iv. Performing combined operations on numbers and algebraic terms involving fractional indices.

i. calculations that involves combined operations for several numbers in index notation.

ii. Calculation that involves combined operations for index expressions with positive, negative and fractional indices.

19/6 23/6(WEEK 22 )8. SOLID GEOMETRY (III)

Students will be taught to find:

the volume of right circular cylinders and right prisms

the volume of right pyramids and right circular cones

Students will be able to :

i. derive the formula for volume of right circular cylinders and prisms.

ii. Calculate the volume of a right cylinder

iii. Calculating the height of a right cylinder

iv. Calculate the radius of the base of a right cylinder.

v. Calculate the volume of a right prism.

vi. Calculate the height of a right prism

vii. Calculate the base area of a right prism

viii. Changing units for volume

ix. Solving problems involving volume of right cylinders and right prisms.

i. derive the formula for the volume of pyramids and cones.

ii. Calculating the volume of a right pyramid

29/6/2011Cuti Israk dan Mikraj

26/6 -REVISION WEEK

Peperiksaan Percubaan PMR

26/8 3/9Cuti Pertengahan Penggal Kedua

REVISION WEEK

4/10 12/10Peperiksaan Penilaian Menengah Rendah Tahun 2011

_1156363703.unknown

_1156364002.unknown

_1156364023.unknown

_1156363457.unknown