Format Annual Plan 2011 - Mathematics Form 3

SMK SERI KUNDANG, 48020 RAWANG, SELANGOR

YEARLY LESSON PLAN

MATHEMATICS

FORM 3, 2011

WEEK DATE TOPIC/ LEARNING OBJECTIVE

LEARNING OUTCOMES NOTES

1 3 Jan – 7 Jan 13.GRAPHS OF FUNCTIONS13.1 Understand and use the concept of functions

13.2 Draw and use graphs of functions

i.State the relationship between two variables based on the 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.

i.Construct tables of values for given functions.ii.draw graphs of functions using given scale.iii.determine from graph the value of y, given value of x and vice versa.iv. Solve problems involving graphs of functions.

2 10 Jan – 14 Jan 10.TRANSFORMATIONS II10.1 Understand and use the concept of similarity

10.1 Understand and use the concept of enlargement

i.Identify if given shapes are similarii.Calculate the lengths of unknown sides of two similar shapes

i.identify an enlargementii.Find the scale factor, given the object and its image of an enlargement when:

a. Scale factor > 0b. Scale factor < 0

iii.Determine the centre of enlargement, given the object and its image.iv.Determine the image of an object given the centre of enlargement and the scale factor.v.Determine the properties of enlargement.vi.Calculate:

a. The scale factor


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b. Lengths of the side of the imagec. Length of the side of the objectOf an enlargement

vii.Determine the relationship between the area of the image and its object.viii.Calculate the:

a. Area of imageb. Area of objectc. Scale factor

Of an enlargement.ix. Solve problems involving enlargement

3 17 Jan – 21 Jan 9.SCALE DRAWINGS9.1 Understand the concept of scale drawings.

i.Sketch shapes:a. of the same size as the objectb. smaller than the objectc. larger than the objectusing grid papers.

ii.Draw geometric shapes according to scale 1 : n, where n = 1,2,3,4,5,12 ,

iii Draw composite shapes, according to a given scale using:a. Grid papersb. Blank papers

iv. Redraw shapes on grids of different sizesv. Solve problems involving scale drawings.

20 Jan -Thaipusam

4 24 Jan – 28 Jan 15.TRIGONOMETRY15.1 Understand and use tangent of an acute angle in a right-angle

i.Identify the:a. Hypotenuse


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in a right triangle.

15.2 Understand and use sine of an acute angle in a right-angled triangle

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

ii.determine the tangent of an angleiii.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.

i.determine the sine of an angle.ii.Calculate the sine of an angle given the length of sides of the triangleiii.calculate the lengths of sides of a triangle given the value of sine and the length of another side.

5 31 Jan – 4 Feb 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 length of sides of the triangleiii.calculate the lengths of sides of a triangle given the value of cosine and the length of another side.

3 & 4 Feb- Chinese New Year

6 7 Feb – 11 Feb 15.4 Use the values of tangent, sine and cosine to solve problems.

i.Calculate the value of other trigonometric ratios given the value of a trigonometric ratio.ii.Convert the measurement of angles from:

a. Degrees to degrees and minutesb. Degrees to minutes to degrees

iii.Find the value of:a. Tangentb. Sinec. CosineOf 30° ,45 ° ,∧60 ° without using scientific calculator.

iv.Find the values of:


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a. Tangentb. Sinec. Cosineusing scientific calculators.

v. Find the angles given the values of:a. Tangentb. Sinec. Cosineusing scientific calculators.

vi.Solve problems involving trigonometric ratios.

7 14 Feb – 18 Feb 1.LINES AND ANGLES II1.1 Understand and use properties of angles associated with transversal and parallel lines.

i.Identify:a. Transversalsb. Corresponding anglesc. Alternate anglesd. Interior angles

ii. Detemine that for parallel lines:a. Corresponding angle are requiredb. Alternate angles are equalc. Sum of interior agles is 180°

iii. Find the values of:a. Corresponding anglesb. Alternate anglesc. Interior anglesAssociated 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

15 Feb- Maulidur Rasul


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FORM 3, 2011

transversals and parallel lines.8 21 Feb – 25 Feb 2. POLYGONS II

2.1 Understand the concept of regular polygons

2.2 Understand and use the knowledge of exterior and interior angles of polygons.

i. Determine if a given polygon is a regular polygonii. Find:

a. The axes of symmetryb. The number of axes of symmetry

of a polygon.iii. Sketch regular polygonsiv. Draw regular polygons by dividing equally the angle at the centrev. Construct equilateral triangles, squares and regular hexagons.

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 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.

9 28 Feb – 4 Mac 3.CIRCLES II3.1 Understand and use properties of circles involving symmetry, chords and arcs.

i.Identify a diameter of a circle as an axis of symmetry.ii.Determine that:

a. A radius that is perpendicular to a chord devides the chord into


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3.2 Understand and use properties of angles in circles.

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 versad. Chords of the same length cut arcs of the same length

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

i.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 that angles subtended:

a. At the circumferenceb. At the centreBy arcs of the same length are equal

iv. determine the relationship between angle at the centre and angle at the circumference subtended by an arc.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 the circumference of circles

10 7 Mac – 11 Mac 3.3 Understand and use the concept of cyclic quadrilaterals.

i.Identify cyclic quadrilaterals.ii.Identify the interior opposite angles of cyclic quadrilaterals.iii.determine the relationship between 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 angles and the corresponding


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interior opposite angle of cyclic quadrilateralsvi.solve problems involving angles of cyclic quadrilaterals.vii.solve problems involving circles.

14 Mac – 18 Mac Cuti Pertengahan Penggal 111 21 Mac – 25 Mac 4.STATISTICS

4.1Represent and interpret data in pie charts to solve problems.

4.2 Understand and use the concept of mode, median and mean to solve problems.

i.Obtain and interpret information from pie chart.ii. Construct pie charts to represent data.iii.solve problema involving pie charts.iv.determine suitable representation of data.

i. determine the mode of:a. Sets of datab. Data given in frequency tables.

ii. determine the mode and the respective frequency from pictographs, bar charts, line graph and pie charts.iii. determine the median for sets of dataiv.determine the midean of data in frequency tables.v. calculate the mean of;

a. se ts of datab. data in frequency tables.

vi. solve problems involving mode, median and mean.12 28 Mac – 1 Apr 5.INDICES

5.1 Understand the concept of indices

5.2 Perform computations involving multiplication of

i.Express repeated multiplication as an and vice versa.ii Find the value of aiii.Express numbers in index notation

i. Verify amxan = am+n

ii. simplify multiplication of


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numbers in index notation a. numbers and b. algebraic terms expressed in index notation with the same base.

iii.Simplify multiplication of:a. numbers and b. algebraic terms expressed in index notation with the different base.

13 4 Apr – 8 Apr 5.3 Perform computation involving division of numbers in index notation

5.4 Perform computation involving raising numbers and algebraic terms in index notation to a power

i. Verify am÷ am=am−n

ii. simplify division of:a. numbers and b. algebraic terms

expressed in index notation with the same base

i.Derive (am) = amn

ii.Simplifya. numbers and 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 base s raised to a power.

iv.Perform combined operations involving multiplication, division, and raised to a power on:

a. numbersb. algebraic terms


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14 11 Apr – 15 Apr 5.5. Perform computations involving negative indices.

5.6 Perform computations involving fractional indices.

i.Verify a−n = 1an

ii.State a−n as 1an and vice versa.

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


i.Verify a1n=n√a

ii.State a1n as n√a∧vice versa

iii.Find the value of a1n

iv.State amn as:

a. (am) or (a1n)

b. n√am or (n√a)v.. Perform combined operations of multiplication, division and raising to a power involving fractional indices on:


vi. Find the value of amn

15 18 Apr – 22 Apr 5.7 Perform computation i.Perform multiplication, division, raised to a power or combination of


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involving laws of indices

6.ALGEBRAIC EXPRESSIONS III6.1Understand and use the concept of expanding brackets.

these operations on several numbers expressed in index notation.iiPerform combined operations of multiplication, division and raised to a power involving positive, negative and fractional indices.

i.Expand single brackets.ii.Expand two brackets.

16 25 Apr – 29 Apr 6.2 Understand and use the concept of factorisation of algebraic expression to solve problems.

6.3 Perform addition and subtraction on algebraic fractions.

i.State factors of an algebraic term.ii. State common factors and the HCF for several algebraic terms.iii.Factorise algebraic expression:

a. using common factorb. the difference of two squares.

iv.Factorise and simplify algebraic fractions.

i. 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 factorb. With a common factor

17 2 Mei – 6 Mei 6.4Perform multiplication and division on algebraic fractions.

i.Multiply two algebraic fractions involving denominator with:a. One termb. Two terms.

ii.Divide two algebraic fractions involving denominator with:


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a. One termb. Two terms.

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

18 9 Mei -13 Mei 7.ALGEBRAIC FORMULAE7.1 Understand the concept of variables and constants.

7.2 Understand the concept of formulae to solve problems.

i.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.

i.Write a formula based on a given:a. Statementb. Situation

ii Identify the subject of a given formulaiii.Express a specified variable as the subject of a formula involving:

a. One of the basic operations: +,−, ×,÷b. Powers or rootsc. Combination of the basic operations and powers or roots.

iv. Find the value of a variable when it is:a. The subject of the formulab. Not the subject of the formula.

v. Solve problems involving formulae.

19 16 Mei – 20 Mei 11.LINEAR EQUATIONS II11.1 Understand and use the concept of linear equations in two variables.

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.

17 Mei – Hari Wesak


YEARLY LESSON PLAN

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FORM 3, 2011

11.2 Understand and use the concept of two simultaneous linear equations in two variables to solve problems.

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

i.Determine if two given equations are simultaneous linear equations.ii.Solve two simultaneous linear equations in two variables by:

a. Substitutionb. Elimination

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

20 23 Mei -27 Mei 12.LINEAR INEQUALITIES12.1 Understand and use the concept of inequalities

12.2 Understand and use the concept of inequalities in one unknown.

i.Identify the relationship:a. Greater thanb. Less than

Based on given situations.ii.Write the relationship between two given numbers using the symbol “>” or “<”.iii.Identify the relationship:

a. Greater thanb. Less than

Based on given situations.

i.Determine if a given relationship is a linear inequalityii.Determine the possible solutioss for a given linear inequality in one unknown.

a. x > hb. x < hc. x ≥ hd. x ≤ h

iii.Represent a linear inequality:


YEARLY LESSON PLAN

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FORM 3, 2011

a. x > hb. x < hc. x ≥ hd. x ≤ h

on a number line and vice versa.iv.Construct linear inequalities using symbols:

a. “>” or “<”b. “≥” or “≤”

From given information.

30 Mei – 3 Jun Cuti Penggal 1 4 Jun- Birthday YDP

6 Jun – 10 Jun Cuti Penggal 121 13 Jun – 17 Jun 12.3 Perform computations

involving addition, subtraction, multiplication and division on inequalities.

12.4 Perform computations to

i.State a new inequality for a given inequality when a number is:a. Added tob. Subtracted from

Both sides of an inequalities.ii. State a new inequality for a given inequality when both sides of the inequalities are:

a. Multiplied by a numberb. Divided by a number

iii. Contruct inequalitiesa. x + k > m + kb. x – k > m – kc. kx > km

d.xk> m

kFrom given information.


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solve inequalities in one variable. i.Solve a linear inequality by:

a. Adding a numberb. Subtracting a number

On both sides of the inequalityii. Solve a linear inequality by:

a. Multiplying a numberb. Dividing a number

On both sides of the inequalityiii. Solve linear inequality in one variable using a combination of operations.

22 20 Jun – 24 Jun i.State a new inequality for a given inequality when a number is:

c. Added tod. Subtracted from

Both sides of an inequalities.ii. State a new inequality for a given inequality when both sides of the inequalities are:

c. Multiplied by a numberd. Divided by a number

iii. Contruct inequalitiese. x + k > m + kf. x – k > m – kg. kx > km

h.xk> m

k

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.

i.State the relationship between two variables based on the 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.


YEARLY LESSON PLAN

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FORM 3, 2011

From given information.

i.Solve a linear inequality by:c. Adding a numberd. Subtracting a number

On both sides of the inequalityii. Solve a linear inequality by:

c. Multiplying a numberd. Dividing a number

On both sides of the inequalityiii. Solve linear inequality in one variable using a combination of operations.

i.Construct tables of values for given functions.ii.draw graphs of functions using given scale.iii.determine from graph the value of y, given value of x and vice versa.iv. Solve problems involving graphs of functions.

23 27 Jun – 1 Julai 14.RATIOS, RATES AND PROPORTIONS II14.1 Understand and use the concept of rate and perform computations involving rates.

14.2 Understand and use the concept of speed

i.Determine the rates involved in given situation and identify the two quantities involvedii.Calculate the rate given two different quantities.iii.Calculate a certain quantity given the rate and the other quantity.iv.Convert rates from one units of measurement to another.v.Solve problems involving rates.

i.Identify the two quantities involved in speedii.Calculate and interpret speediii.Calculate:

a. The distance given the speed and the time


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b. The time, given the speed and the distanceiv.Convert speed from one unit of measurement to anotherv.differentiate between uniform speed and non-uniform speed

24 4 Jul – 8 Jul 14.3 Understand and use the concept of average speed

14.4 Understand and use the concept of acceleration

i.Calculate the average speed in various situations.ii.calculate:

a. The distance, given the average speed and the timeb. The time, given the average speed and the distance

iii.solve problems involving speed and average speed

i.Identify the two quantities involved in acceleration.ii.calculate and interpret acceleration

25 11 Jul – 15 Jul 8.SOLID GEOMETRY III8.1 Understand and use the concept of volume of right prisms and right circular cylinders to solve problems

i.Derive the formula for volume of:a. Prismsb. Cylinders

ii.Calculate the volume of a right prism in cubic units given the height and:a. The area of the baseb. 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 heightb. Radius of the base and the heightof the cylinder.

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


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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 and m3

b. cm3, ml and l ix.Calculate volume of liquid in a containerx. Solve problems involving volume of prisms and cylinders.

26 18 Jul – 22 Jul 8.2 Understand and use the concept of volume of right pyramids and right circular cones to solve problems.

.

i.Derive the formula for volume of:c. Pyramidsd. Cones

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

a. area of the baseb. dimensions of the base

iii.Calculate the height of a pyramids 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 conemm3, cm3 and m3, given the height and the 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.x. Solve problems involving volume of pyramids and cones.

27 25 Jul – 29 Jul 8.3 Understand and use the concept of volume of sphere to

i.Calculate the volume of a sphere given the radius of the sphereii. Calculate the radius of a sphere given the volume of the sphere


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solve problems

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

iii. Solve problems involving volume of spheres.

i. Calculate the volume of composite solidsii. Solve problems involving volumes of composite solids.

28 1 Ogos – 5 Ogos REVISION

29 8 Ogos - 12 Ogos REVISION30 15 Ogos – 19 Ogos REVISION 17 Ogos –

Nuzul Quran31 22 Ogos – 26 Ogos TRIAL PMR

29 Ogos – 2 SeptMID TERM HOLIDAY

30 & 31 Ogos Hari Raya Aidil Fitri

32 5 sept – 9 Sept CHECKING SCEME OF TRIAL PMR33 12 Sept – 16 Sept

PRA PMR16 Sept –

Hari Malaysia34 19 Sept – 23 Sept PRA PMR35 26 Sept – 30 sept PRA PMR36 3 Okt – 7 Oct PMR EXAMINATION37 10 Oct – 14 Oct ACTIVITIES AFTER PMR38 17 Oct – 21 Oct ACTIVITIES AFTER PMR39 24 Oct – 28 Oct ACTIVITIES AFTER PMR 26 Oct –

Deepavali40 31 Oct – 4 Nov ACTIVITIES AFTER PMR41 7 Nov – 11 Nov ACTIVITIES AFTER PMR


YEARLY LESSON PLAN

MATHEMATICS

FORM 3, 2011

42 14 Nov – 18 Nov ACTIVITIES AFTER PMR19 Nov – 1 Jan SECOND TERM HOLIDAY

Format Annual Plan 2011 - Mathematics Form 3

Documents

smk seri kundang

simultaneous

algebraic

simultaneous

perform combined

interior opposite

interior opposite

solve linear