rpt mathematics form5

7/29/2019 Rpt Mathematics Form5

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RPT : CHEMISTRY FORM 4YEARLY PLAN 2010

SCHOOL :SUBJECT : MATHEMATICSFORM : 5

WEEK TOPIC CONTENT LEARNING OUTCOMES COMPLETED DATE

(REASON IF CANTACHIEVED)

1-24/1/2010

-15/1/2010

NUMBER BASES 1.1 Understand and usethe concept of number inbase two, eight and five.

i. State zero, one, two three, , as a numberin base:a) twob) eightc) five

ii. State the value of a digit of a number inbase:a) twob) eight

c) fiveiii. Write a number in base:

a) twob) eightc) fivein expanded notation.

iv. Convert a number in base:a) twob) eightc) five

to a number in base ten and vice versa.v. Convert a number in a certain base to a

number in another base.vi. Perform computations involving:

a) additionb) subtractionof two numbers in base two.

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WEEK TOPIC CONTENT LEARNING OUTCOMES COMPLETED DATE(REASON IF CANT

ACHIEVED)

3-518/1/2010

-5/2/2010

GRAPHS OFFUNCTIONS

2.1 Understand and use theconcept of graphs of

functions

(i) Draw the graph of a:a) linear function:

y = ax + b, where a and b areconstants.b) Quadratic function:

y = ax2 + bx + c, where a, b and c areconstants, a 0.

c) Cubic function:y = ax3 + bx2+ cx + d, where a, b, c andd are constants, a 0.

d) Reciprocal function:

x

ay = , where a is a constant, a 0.

(ii) Find from a graph:a) the value of y, given a value of

x,b) the value(s) of x, given a value

of y.(iii) Identify:

a) the shape of graph given a typeof functionb) the type of funct ion given agraphc) the graph given a function andvice versa.

(iv) Sketch the graph of a given linear,quadratic, cubic or reciprocal function.

2.2 Understand and usethe concept the solutionsof an equation bygraphical method.

(i) Find the point(s) of intersection of twographs.

(ii) Obtain the solution of an equation byfinding the point(s) of intersection of two

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ACHIEVED)

graphs.(iii) Solve problems involving solution of an

equation by graphical method.

2.3 Understand and usethe concept of the regionrepresenting inequalitiesin two variables.

(i) Determine whether a given point satisfies:y = ax + b ory > ax + b ory < ax + b

(ii) Determine the position of a given pointrelative to the equation y = ax + b.

(iii)Identify the region satisfying y > ax + b ory < ax + b

(iv)Shade the regions representing theinequalities:(a) y > ax + b or

y < ax + b(b) y ax + b or

y ax + b(v) Determine the region with satisfies two or

more simultaneous linear inequalities.

68/2/2010-12/2/2010

PK1

715/2/2010-

19/2/2010

CHINESE NEW YEAR

26/2/2010 CUTI MAULIDUR RASUL

8-922/2/2010

-5/3/2010

TRANSFORMATIONSIII

3.1 Understand and usethe concept ofcombinations of twotransformations.

i. Determine the image of an object undercombination of two isometrictransformations.

ii. Determine the image of an object undercombination of :

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ACHIEVED)

a) Two enlargementsb) An enlargement and an isometric

transformations

iii. Draw the image of an object undercombination of two transformations.

iv. State the coordinates of the image of apoint under combined transformations

v. Determine whether combined transformationAB is equivalent to combined transformationBA.

vi. Specify two successive transformations in acombined transformation given the objectand the image.

vii. Specify a transformation which is equivalent

to the combination of two isometrictransformations.

viii. Solve problems involving transformation.

108/3/2010

-12/3/2010

MATRICES 4.1 Understand and use theconcept of matrix .

i. Form a matrix from given information.ii. Determine :

a) The number of rowsb) The number of columnsc) The order of a matrix

iii) Identify a specific element in a matrix

4.2 Understand and use the

concept of equal matrices.

i. Determine whether two matrices are equal

ii. Solve problems involving equal matrices.

4.3 Perform addition andsubtraction on matrices

i. Determine whether addition or subtractioncan be performed on to given matrices.

ii. Find the sum or the difference of twomatrices.

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ACHIEVED)

iii. Perform addition and subtraction on a fewmatrices

iv. Solve matrix equation involving addition and

subtraction .

4.4 Perform multiplication ofa matrix by a number.

i. Multiply a matrix by a numberii. Express a given matrix as a multiplication ofanother matrix by a numberiii. Perform calculation on matrices involving

addition, subtraction and scalarmultiplication.

iv. Solve matrix equation involving addition,subtraction and scalar multiplication.

11

15/3/2010-

19/3/2010

School Holidays

1222/3/2010

-26/3/2010

PK2

13-1529/3/2010

-

16/4/2010

4.5 Performmultiplication oftwo matrices

i. Determine whether two matrices can bemultiplied and state the order of the productwhen the two matrices can be multiplied.

ii. Find the product of two matrices.iii. Solve matrix equation involvingmultiplication of two matrices.

4.6 Understand and use theconcept of identitiy matrix

i. Determine whether a given matrix is anidentity matrix by multiplying it to anothermatrix

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ACHIEVED)

ii. Write identitiy matrix of any order.iii. Perform calculation involving identitymatrices.

4.7 Understand and use theconcept of inverse matrix

i. Determine whether a 2 x 2 matrix is theinverse matrix of another 2 x 2 matrix.

ii. Find the inverse matrix of 2 x 2 matrix using:a. The method of solving simultaneous

linear equationsb. A formula

4.8 Solve simultaneouslinear equation by usingmatrices

i. Write simultaneous linear equations in matrixform

ii. Find the matrix

q

p

in

dc

ba

=

k

h

q

p

using the inverse matrix.iii. Solve simultaneous linear equations by thematrix method.iv. Solve problems involving matrices

8/4/2010 Hari Keputeraan DYMM Sultan Johor

16-1719/4/2010

-

30/4/2010

VARIATION 5.1 Understand and use theconcept of direct

variation.

i. State the changes in a quantity with respectto the changes in another quantity, in

everyday life situations involving directvariation.ii. Determine from given information whether a

quantity varies directly as another quantity.iii. Express a direct variation in the form of

equation involving two variables.iv. Find the value of a variable in a direct

variation when sufficient information is given.

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ACHIEVED)

5.2 Understand and usethe concept of inversevariation

v. Solve problems involving directvariation for the following cases:

yx; yx2

; yx3

;yx

1

2 .

i. State the changes in a quantity with respectto changes in another quantity, in everydaylife situations involving inverse variation.

ii. Determine from given information whether aquantity varies inversely as another quantity.

iii. Express an inverse variation in the form ofequation involving two variables.

iv. Find the value of a variable in an inverse

variation when sufficient information is given.v. Solve problems involving inverse variationfor the following cases:

yx

1; y

2

1

x; y

3

1

x;

y2

1

1

x.

5.3 Understand and usethe concept of joint

variation

i. Represent a joint variation by using thesymbol for the following cases:

a) two direct variationsb) two inverse variationsc) a direct variation and an inverse

variationii. Express a joint variation in the form of

equation.iii. Find the value of a variable in a joint

variation when sufficient information is given.

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ACHIEVED)

iv. Solve problems involving joint variation.

1/5/2010 Hari Pekerja

18-193/5/2010

-14/5/2010

PLANS &ELEVATIONS

10.1 Understand and use theconcept of orthogonalprojections

i. Identify orthogonal projection.ii. Draw orthogonal projection, given an object

and a plane.iii.Determine the difference between an object

and its orthogonal projection with respect toedges and angles.

10.2 Understand anduse the concept of planand elevation.

i. Draw the plan of a solid object.ii. Draw

a) the front elevationb) side elevationof solid.

iii. Drawa) the planb) the front elevationc) the side elevationof a solid object to scale.

iv Solve problems involving plan andelevation.

2017/5/2010

-21/5/2010

Intensive Revision

21-2224/5/2010

-4/6/2010

Mid Year Exam

28/5/2010 Hari Wesak

23-247/6/2010

School Holidays

8


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ACHIEVED)

-18/6/2010

2521/6/2010

-25/6/2010

GRADIENT ANDAREA UNDER A

GRAPH

6.1 Understand and usethe concept of quantityrepresented by thegradient of a graph.

(i)State the quantity by the gradient ofa graph.

(ii)Draw the distance-time graph,given:

a) table of distance values.

b) relationship between distance andtime.

(iii)Find and interpret the gradient of adistance-time graph.

(iv)Find the speed for a period of timefrom a distance-time graph.

(v)Draw a graph to show therelationship between two variablesrepresenting certain measurementsand state the meaning of its gradient.

1

2 6.2 Understand theconcept of quantityrepresented by the areaunder a graph.

i. State the quantity represented by thearea under a graph.

ii. Find the area under a graph. .iii. Determine the distance by finding the

area under the following types ofspeed-time graphs:(a). v = k(uniform speed)

(b). v = kt(c). v = kt + h(d). a combination of the above.

iv. Solve problems involving gradient andarea under a graph.

26 PROBABILITY II 7.1 Understand and use the (i) Determine the sample of an

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ACHIEVED)

28/6/2010-

2/7/2010

concept of probability ofan event.

experiment with equally likelyoutcomes.

(ii) Determine the probability of an eventwith equiprobable sample space.(iii) Solve problems involving probability

of an event.

7.2 Understand and usethe concept of probabilityof the complement of anevent.

7.3 Understand and use

the concept of probabilityof combined event.

(i) State the complement of an event in:a) wordsb) set notation(ii) Find the probability of the complement

of an event.

(i) list the outcomes for events:

a) A or B as elements of set A Bb) A and B as elements of set A B(ii) Find the probability by listing the

outcomes of the combined event:a) A or Bb) A and B

(iii) Solve problems involving probabilityof combined event.

275/7/2010

-9/7/2010

BEARINGUnderstand and use

the concept of bearing(i) Draw and label the eight compass

directions :a) north, south, east, westb) north-east, north-west,

south-east, south west

(ii) State the compass angle of anycompass direction

(iii) Draw a diagram of a point whichshows the direction of B relative toanother point A given the bearing of B

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ACHIEVED)

from A(iv) State the bearing of point A from

point B based on given information.

2812/7/2010

-16/7/2010

EARTH AS ASPHERE

9.1 Understand and use theconcept of longitude.

i. Sketch a great circle through the northand south poles.

ii. State the longitude of a given point.iii. Sketch and label a meridian with the

longitude given.iv. Find the difference between two

longitudes.

9.2 Understand and usethe concept of latitude.

i. Sketch a circle parallel to the equator.ii. State the latitude of a given point.

iii. Sketch and label a parallel of latitude.iv Find the difference between twolatitudes.

9.3 Understand theconcept of location of aplace.

i. State the latitude and longitude of agiven place.

ii. Mark the location of the place.iii. Sketch and label the latitude andlongitude of a given place.

2919/7/2010

-23/7/2010

9.4 Understand and usethe concept of distanceon the surface of theearth to solve problems.

i Find the length of an arc of a greatcircle in nautical mile, given thesubtended angle at the centre of theearth and vice versa.

ii. Find the distance between two pointsmeasured along a meridian, given thelatitudes of the both points.iii Find the latitude of a point given thelatitude of another point and the distancebetween the two points along themeridian.iv. Find the distance between two points

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ACHIEVED)

measured along the equator, given thelongitudes of both points.v. Find the longitude of a point given thelongitude of another point and the twopoints along the equator.vi. State the relation between the radiusof the earth and the radius of a parallel oflatitude.vii. State the relation between the lengthof an arc on the equator between twomeridians and the length of thecorresponding arc on a parallel oflatitude.

viii. Find the distance between two

points measured along a parallel oflatitude.

ix. Find the longitude of a point given thelatitude of another point and the distancebetween the two points along a parallel oflatitude.

x. find the shortest distance betweentwo points on the surface of the earth.

xi. Solve problems involving :a) distance between two points.b) traveling on the surface of the earth.

3026/7/2010

Intensive Revision

12


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ACHIEVED)

-30/7/2010

329/8/2010

-13/8/2010

Intensive Revision

11/8/2010 Cuti Awal Ramadan

33-3516/8/2010

-3/9/2010

PERCUBAAN SPM

31/8/2010Hari Kemerdekaan

36-37

6/9/2010 17/9/2010

School Holidays / Cuti Raya

16/9/2010HARI MALAYSIA

39-4127/9/2010

-15/10/2010

Intensive Revision

4218/10/2010

-22/10/2010

Intensive Revision

43-4426/10/2010

-5/11//2010

Intensive Revision

45-468/11/2010

-

SPM examination

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ACHIEVED)

19/11/2010

20/11/2010-

31/12/2010

Cuti Sekolah

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rpt mathematics form5

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