rancangan tahunan matematik

38
RANCANGAN PENGAJARAN TAHUNAN BAGI T Penyelarasan RPT Peringkat PPD SEKOLAH : MATA PELAJARAN : Matematik KELAS / TAHUN : Tahun 4 Penggal Topik Satu 1st 1 1 1 1 i. 03 - 07.01.11 ii. 2nd 2 2 1 i. 10 - 14.01.11 3 ii. 4 3 1 i. 3rd 5 4 1 i. 17 - 21.01.11 ii. 6 4th 7 5 1 i. 24 - 28.01.11 ii. 5th 8 6 Mixed Operation 1 i. 31.01 - 04.02. Minggu/ Tarikh Muka surat HSP Bidang Pembelajaran (Learning Area) Objektif (Learning Objectives) Kem Whole Numbers Numbers to 100 000 Develop number sense up to 100 000 iii . iv. Addition With The Highest Total of 100 000 Add numbers to the total of 100 000 Subtraction within the Range of 100 000 Subtract numbers from a number less than 100 000 Multiply With The Highest Product of 100 000 Multiply any two number with the highest product of 100 000 iii . iv. Division With The Highest Dividend of 100 000 Divide a number less than 100 000 by a two-digit iii . Perform mixed operation involving addition and subtraction.

Upload: hailmi-othman

Post on 30-Oct-2014

917 views

Category:

Documents


0 download

DESCRIPTION

tahun 4,5 dan 6

TRANSCRIPT

Page 1: rancangan tahunan matematik

RANCANGAN PENGAJARAN TAHUNAN BAGI TAHUN 2011

Penyelarasan RPT Peringkat PPD RanauSEKOLAH :

MATA PELAJARAN : Matematik

KELAS / TAHUN : Tahun 4

Penggal Minggu/ Tarikh Topik

Satu

1st 1 1 1 1 i. Name and write numbers up to 100 000

03 - 07.01.11ii.

iii. Compare value of number to 100 000

iv. Round off numbers to the nearest ten, hundred and thousand.

2nd 2 2 1 i. Add any two to four numbers to 100 000

10 - 14.01.11 3 ii. Solve addition problems.

4 3 1 i.

3rd 5 4 1 i. Multiply four-digit numbers with

17 - 21.01.11 a) one-digit numbers, b) 10

c) two-digit numbers.

ii. Multiply three-digit numbers with

a) 100 b) two-digit numbers

iii. Multiply two-digit number with 1000

6 iv. Solve multiplication problems.

4th 7 5 1 i. Divide five-digit numbers by

24 - 28.01.11 a) one-digit numbers, b) 10, 100 and 1000

c) two-digit numbers.

ii. Divide four-digit numbers by

a) one-digit numbers, b) 10, 100 and 1000

c) two-digit numbers.

iii. Solve division problems.

5th 86

Mixed Operation

1 i.

31.01 - 04.02. a) 100 b) 1000

c) 10 000

Muka surat HSP

Bidang Pembelajaran (Learning

Area)

Objektif (Learning

Objectives)

Kemahiran (Learning Outcomes)

Whole Numbers

Numbers to 100 000

Develop number sense up to 100 000

Determine the place value of the digits in any whole number up to 100 000

Addition With The Highest Total of 100 000

Add numbers to the total of 100 000

Subtraction within the Range of 100 000

Subtract numbers from a number less than 100 000

Subtract one or two numbers from a bigger number less than 100 000.

Multiply With The Highest Product of 100

000

Multiply any two number with the highest product of 100 000

Division With The Highest Dividend of

100 000

Divide a number less than 100 000 by a two-digit number

Perform mixed operation involving addition and subtraction.

Perform mixed operations involving addition and subtraction with numbers less than

Page 2: rancangan tahunan matematik

Satu

Mixed Operation

ii. Solve mixed operation problems.

Satu

6th 2

Fraction

1 Proper Fractions 1 i. Name and write proper fraction with denominators up to 10

07 - 11.02.11 ii. Compare the value of two

a) the same denominators,

10 2 Equivalent Fractions 1 i. Express and write equivalent fractions for proper fractions.

11 ii. Express equivalent fractions to its simplest form.

iii.

7th 123 1 i.

14 - 18.02.11 a) with 1 as the numerator for both fractions

b) with different numberators.

ii.

a) with 1 as the numerator for both fractions

b) with different numerators.

8th 134 1 i.

21 - 25.02.11 a) with 1 as the numerator for both fractions

b) with different numberators.

ii.

a) with 1 as the numerator for both fractions

b) with different numerators.

iii. Solve problems involving subtraction of proper fractions.

9th 14 3

Decimals

1 1 i. Name and write decimals with

28.02 - 04.03 a) one dicimal place, b) two decimal places

ii. Recognise the place value of

a) tenths, b) hundredths

c) tenths and hundredths

iii. Convert fraction to decimals of

a) tenths, b) hundredths

c) tenths and hundredths and vice versa

10th 15 2 1 i. Add any two to 4 decimals of one decimal place involving

07 - 11.03.11 a) decimals only, c) mixed decimals

b) whole numbers and decimals

ii. Add any two to 4 decimals of two decimal places involving

a) decimals only, c) mixed decimals

Whole Numbers

Perform mixed operation involving addition and subtraction.

page 9

Name and write proper fractions with denominators up to 10

b) the numberator of 1 and different denominators up to 10

Express equivalent fractions for proper fractions.

Recognise fractions as equal shares of a whole set with denominato up to 10.

Addition Of Proper Fractions

Add two proper fractions with denominators up to 10

Add two proper fractions with the same denominator up to 10 to its simplest form.

Add two proper fractions with different denominator up to 10 to its simplest form

Subtraction Of Proper Fractions

Subtract proper fractions with denominators up to 10.

Subtract 2 proper fractions with the same denominator up to 10 to its simplest form

Subtract two proper fractions with different denominators up to 10 to its simplest form

Introduction To Decimal Numbers

Understand and use the vocabulary related to decimals.

Addition of Decimal Numbers

Add decimals up to two decimal places.

Page 3: rancangan tahunan matematik

Satu

Decimals

b) whole numbers and decimals

iii. Solve problems involving addition of decimal numbers.

Satu

11th 3

Decimals

3 1 i.

21 - 25.03.11 a) decimals only, b) mixed decimals,

c) whole numbers and decimal (mixed decimals)

ii. Subtract one to 2 decimals of one or two decimal places.

iii. Solve problems involving subtractions of decimals.

12th 17 4 1 i. Muliply decimals of one decimal place with

28.03 - 01.04. a) a one-digit number

b) 10, 100 and 1000;

ii. Multiply any decimals of two decimal places with

a) a one-digit number,

b) 10, 100 and 1000;

iii. Solve problem involving multiplication of decimals

13th 17 5 1 i. Divide decimals of one decimal place by

04 - 08.04.11 18 a) a one-digit number b) 10

ii.

iii.

iv. Solve problems involving division of decimals.

14th 19 4

Money

1

Money To RM 10 000

1 i. Read and write the value of money up to RM10 000

11 - 15.04.11 2 i. Add money up to RM10 000

ii. Subtract money from up to RM10 000

iii. Multiply money to the highest product of RM10 000

iv.

v.

vi. Round off money to the nearest "ringgit"

vii. Solve problems involving money of up to RM10 000

15th 20 5

Time

1 1 i.

18 - 22.04.11ii.

212

Time Schedule1 Consruct a simple schedule i. Construct, read and extract information from a simple schedule.

Addition of Decimal Numbers

Add decimals up to two decimal places.

page 16

Subtraction of Decimal Numbers

Subtract decimals up to two decimal places.

Subtract one to two decimals from a decimal of one decimal place involving

Multiplication of Decimal Numbers

Multiply decimals up to two decimal places with a whole number.

Division of Decimal Numbers

Divide decimals up to two decimal places by a whole number.

Divide decimals of two decimal places by one-digit whole number.

Divide decimals by a whole number with the devidend value of up to two decimal places.

Understand and use the vocabulary related to money

Use and apply knowledge of money in real life.

Divide money with dividend not more than RM10 000

Perform mixed operations involving addition and subtraction involving money up to RM10 000

Reading And Writing Time

Understand, read and write time in hours and minutes

Read time in hours and minutes according to the 12-hour system.

Write time in hours and minutes according to the 12-hours system.

Page 4: rancangan tahunan matematik

Satu

22

Time

2 Read a calender i. Extract information from a calendar

ii. Solve simple real life problems involving reading the calendar.

Satu

16th

Time

3 1 i.

25 - 29.05.11 a) 1 day = 24 hours b) 1 year = 364/366 days.

c) 1 decade = 10 years

ii. Convert:

a) years to days, and vice versa,

b) decades to years, and vice versa

c) years to months, and vice versa.

d) hours to days, and vice versa

iii. Convert time from

a) hours to minutes, and vice versa,

b) hours and minutes to minutes, and vice versa.

c) minutes to hours and ninutes, and vice versa

17th 244 1 i.

02 - 06.05.11 a) hour and minutes, b) years and months

c) decades and years

ii.

a) hour and minutes, b) years and months

c) decades and years

18thiii.

09 - 13.05.11 a) hour and minutes,

b) years and months, c) decades and years

25iv.

a) hours to minutes, and vice versa,

b) years and months, c) decades and years

19th 26 4 1 v. Solve problems involving basic operations of time

16 - 20.05.11 a) hour and minutes, b) years and months

c) decades and years

265

Time Duration1 i.

ii. Calculate the duration of an event from a schedule in

a) minutes

page 23

Relationship Between Units Of Time

Understand the relathinship between units of time.

State the relathonship between units of time

Basic Operations Involving Time

Add, subtract, multiply and divide units of time.

Add time involving conversion of units with answers in compound units of:

Subtract time involving conversion of units with answers in compound units of:

Multiply time involving conversion of units with answers in compound units of:

Divide time involving conversion of units with answers in compound units for time duration of

Basic Operations Involving Time

Add, subtract, multiply and divide units of time.

Use and apply knowledge of time to find the duration.

Read and state the start and the end of an event from a schedule.

Page 5: rancangan tahunan matematik

Satu Time

b) hour

Dua

21st 6

Length

1 Measuring Length 1 i. Read measurement of length using units of milimetre.

13 - 17.06.11ii.

a) centimetre

b) metre

22nd 28 2 1 i. State the relationship between centimetre and milimetre.

20 - 24.06.11 ii. Convert units of length from:

a) milimetres to centimetres and vice versa,

b) compound units to a uni.

iii. Solve problems involving conversion of units of length

23rd 29 3 1 Add and subtract length i. Add units of length, involving conversion of units in;

27.06. - 01.07. a) milimetre,

b) metre and centimetre

c) centimetre and milimetre

ii. Subtract units of length; involving conversion of units in:

a) milimetre,

b) metre and centimetre,

c) centimetre and milimetre

24th 29 3 2 Multiply and divide length i. Multiply units of length, involving conversion of units by:

04 - 08.07.11 a) one-digit numbers,

b) 10, 100 and 1000;

ii.

a) one-digit numbers,

b) 10, 100 and 1000;

iii. Solve problems involving basic operations of length

25th 30 7

Mass

1 Measuring Mass 1 i. Measure of masses using in units of kg and gram

11 - 15.07.11ii.

iii. Estimate the masses of objects using kgs and gs

31 2 1 i. Convert units of mass from

a) kilograms to grams,

b) kilograms and grams to grams,

c) kilograms and grams to kilograms.

26th 32 3 1 i. Add mass involvin units of mass in;

18 - 22.07.11 a) kilograms,

b) grams,

c) hour and minutes within a day and two consecutive live days.

page 27

Measure lengths using standard untis.

Write measurement of length to the nearest scales of tenth division for:

Relationship Between Units of Length

Understand the relationship between units of length.

Basic Operations Involving Length

Basic Operations Involving Length

Divide units of length involving conbersion of units by

Measure mass using standard units

Read measurement f masses to the nearest scales division of kilograms and grams.

Relationship Between Units of Mass

Understand the relationship between units of mass

Basic Operations Involving Mass

Add and subtract involving units of mass.

Page 6: rancangan tahunan matematik

Dua

Mass

c) kilograms and grams.

ii. Subtract mass involving units of mass in;

a) kilograms, b) grams

c) kilograms and grams.

Dua

27th 7

Mass

2 i. Multiply mass involving conversion of units, with

25 - 29.07.11 a) one-digit numbers, b) 10, 100 and 1000

ii. Divide mass involving conersion of units;

a) one-digit numbers,

b) 10, 100 and 1000;

iii. Solve problems involving basic operatios with mass.

28th 34 8 1 1 i. Read measurement of volume of liquid in litres and mililitres.

01 - 05.08.11ii.

a) litre, b) mililitre

iii. Measure and record the volume of liquid in ltres and militres

iv. Estimate the volume of liquid in litres and mililitres.

29th 35 2 1 i Convert unit o volume from

08 - 12.08.11 a) litres to mililitres, b) mililitre to litres,

c) litres and mililitres to litres,

d) litres and mililitres to mililitres.

30th 36 3 1 i. Add volume of liquid involving conversion of units in;

15 - 19.08.11 a) litre, b) mililitre

c) litre and mililitre,

ii. Subtract volume of liquid involving conversion of units in;

a) litre, b) mililitre

c) litre and mililitre

31st 2 i. Multiply volume of liquid involving conversion of units by;

22 - 26.08.11 a) one-digit numbers, b) 10, 100 and 1000

37 ii. Divide volume of liquid involving conversion of units by;

a) one-digit numbers, b) 10, 100 and 1000

32nd 38 9 1

Two Dimensional Shapes

1 i. Identify the sides of a;

05 - 09.09.11 a) square b) rectangle

c) triangle

33rd 1

Two Dimensional Shapes

1 ii. Measure and record the perimeter of a

12 - 16.09.11 a) square b) rectangle

c) triangle

2 i. Identify the dimensions of a

a) square b) rectangle

34th ii. Compare squares with a units square;

page 33

Multipy and divide units of mass

Volume Of Liquid

Measuring Volume of Liquid

Measure and compare volum of liquid using stamdard units.

Write measurement of volume of liquid to the nearest scales of tenth division for

Relationship Between Units Of Volume Of Liquid

Understand the relationship between units of volume of liquid.

Basic Operations Involving Volume of Liquid

Add and subtract units of volume

Multiply and divide units of volume

Shape And Space

Understand the figure related to perimeter.

Understand the figure related to perimeter.

Understand the figure related to area.

Page 7: rancangan tahunan matematik

Dua

19 - 23.09.11

Two Dimensional Shapes

a) rectangle b) square

393 i. Measure and record the dimensions of squares and rectanges.

ii. Calculate the area of squares and rectangles.

iii.

Dua

35th 9 2 1 i. Identify the dimensions of cubes and cuboids.

26 - 30.09.11 ii. Measure and record the dimensions of cubes and cuboids.

iii. Compare with a cube unit:

a) cuboid; b) cube

41 2 i. Calculate the volume of cubes and cuboids.

ii. Solve problems involvin volume of cubes and cuboids.

36th 42 10 1 Pictograph 1 i. Recognise a pictograph that represents;

03 - 07.10.11 a) one units; b) more than one unit

ii. Draw pictograph

iii. Represent data by a pictograph

37th 44 2 Bar Graphs 1 i. Recognise;

10 -14.10.11 a) horizontal bar graph,

b) vertical bar graphs.

ii.

38th iii. Tabulate data from data sources.

17 - 21.10.11 iv. Build;

a) horizontal bar graph,

b) vertical bar graphs.

v. Interpret data from the bar graphs.

Kepentingan Rancangan Kerja Tahunan :1. Membolehkan guru merancang dan bersedia untuk mengajar murid dengan terancang dan teratur.

2. Susunan topik akan memudahkan guru membuat persediaan mengajar.

3. Membolehkan guru menyediakan bahan-bahan p & p mengikut strategi yang dipilih.

4. Membantu guru mengurus masa dengan lebih baik.

5. Membolehkan guru ganti melaksanakan pengajaran jika guru berkenaan tidak dapat menjalankannya.

6. Menentukan skop kemahiran dan aktiviti sepanjang tahun pengajaran.

Shape And Space

Record and calculate the area and perimetre 2-D shapes.

Solve problems involving perimeter and areas of 2-D shapes

page 40

Shape And

Space

Three Dimesional Shapes

Understand the volume for cubes and cuboids.

Find the volume for cubes and cuboids.

Data Handling

Recognise and draw pictographs.

Recognise, read and draw bar graphs.

Express the difference between a horizontal and a vertical bar graphs based on the axis.

Page 8: rancangan tahunan matematik

RANCANGAN PENGAJARAN TAHUNAN BAGI TAHUN 2011

Penyelarasan RPT Peringkat PPD Ranau

Nilai Moral

Page 9: rancangan tahunan matematik
Page 10: rancangan tahunan matematik
Page 11: rancangan tahunan matematik
Page 12: rancangan tahunan matematik
Page 13: rancangan tahunan matematik
Page 14: rancangan tahunan matematik
Page 15: rancangan tahunan matematik

RANCANGAN PENGAJARAN TAHUNAN BAGI TAHUN 2013

SEKOLAH : SK Telok BahangMATA PELAJARAN : MatematikKELAS / TAHUN : Tahun LIMA

Penggal Minggu/ Tarikh Topik Nilai Moral

Satu

1

1

1 1 i. Name and write numbers up to 1 000 000

ii.

iii. Compare value of number to 1 000 000

22 2 i. Add any two to four numbers to 1 000 000

3 ii. Solve addition problems.

43 3 i.

ii.

5 iii. Solve subtraction problems.

6 4 4 i. Multiply up to five digit numbers with

a) a one-digit number

b) a two-digit number,

c) 10, 100 and 1000

7 ii. Solve problems involving multiplication.

8 5 5 i. Divide numbers up to six digits by

a) one-digit numbers,

b) 10, 100 and 1000;

c) two-digit numbers.

9 ii. Solve problems involving division.

106 Mixed Operation 6 i.

ii.

Muka surat HSP

Bidang Pembelajaran (Learning

Area)

Objektif (Learning Objectives)

Kemahiran (Learning Outcomes)

Whole Numbers

Numbers to 1 000 000

Develop number sense up to 1 000 000

Determine the place value of the digits in any whole number up to 1 000 000

iv. Round off numbers to the nearest ten, hundred, thousands and hunded thousands.

Addition With The Highest Total of 1 000 000

Add numbers to the total of 1 000 000

Subtraction within the Range of 1 000 000

Subtract numbers from a number less than 1 000 000

Subtract one number from a bigger number less than 1 000 000.

Subtract successifely from a bigger number less than 1 000 000

Multiply With The Highest Product of 1 000 000

Multiply any two numbers with the highest product of 1 000 000

Division With The Highest Dividend of 1 000 000

Divide a number less than 1 000 000 by a two-digit number

Perform mixed operation involving multiplication and division.

Calculate mixed operation on whole numbers involving multiplication and division.

Solve problems involving mixed operations of division and multiplication.

Page 16: rancangan tahunan matematik

Satu

2 Fraction

1 Improper Fractions 1 Understand improper fractions i.

ii. Compare the value of the two improper fractions.

122 Mixed number 2 Understand mixed numbers. i.

ii.

133 Addition of Fractions 3 Add two mixed numbers. i.

ii.

iii. Solve problems involving addition of mixed.

144 Subtraction of Fractions 4 Subtract mixed numbers. i.

15ii.

iii.

16 5 5 i. Multiply whole numbers with proper fractions.

17ii.

18

3 Decimals

1 Decimal numbers 1 i.

ii. Recognise the place value of thousandths.

iii.

Round off decimal numbers to the nearest.

a) tenths,

b) hundredths.

192 2 i.

a) decimal numbers and decimal numbers

b) whole numbers and decimal numbers.

ii.

page 11

Name and write improper fraction with denominators up to 10

Name and write mixed numbers with denominators up to 10.

Convert improper fractions to mixed numbers and vice-versa.

Add two mices numbers with the same denominators up to 10.

Add two mixed numbers with different denominators up to 10.

Subtract two mixed numbers with the same denominator up to 10.

Subtract two mixed numbers with different denominators up t0 10.

Solve problems involving subtraction of mixed numbers.

Multiplication of Fractions

Multiply any proper fraction with a whole number up to 1 000.

Solve problems involving multiplication of fractions.

Understand and use the vocabulary related to decimals.

Name and write decimal numbers to three decimal places.

Convert fractions of thousandths to decimal numbers and vice versa.

iv.

Addition of Decimal numbers

Add decimals numbers up to three decimal places.

Add any two to four decimal numbers up to three decimal places involving

Solve problems involving addition of decimal numbers.

Page 17: rancangan tahunan matematik

Satu

3 Decimals

3 3 i.

ii.

iii.

214 4 i.

a) a one-digit number

b) a two-digit number,

c) 10, 100 and 1000

ii.

22 5 5 i. Divide a whole number by

a) 10 b) 100

c) 1 000

ii. Divide a whole number by

a) a one-digit number

b) a two-digit number,

iii.

a) a one-digit number

b) a two-digit whole number,

c) 10 d) 100

23

4 Percentage

1 Percentage 1 Understand and use percentage. i. Name and write the symbol for percentage.

ii. State fraction of hundredths in percentage

iii.

242 2 i. Convert proper fractions of tenths to percentage.

ii.

iii. Convert percentage to fraction in its simplest form

page 20

Subtraction of Decimal numbers

Subtract decimal numbers up to three decimal places.

Subtract a decimal number from another decimal up to three decimal places.

Subtract successively any two decimal numbers up to three decimal places.

Solve problems involving subtractions of decimal numbers.

Multiplication of Decimal numbers

Multiply decimal numbers up to three decimal places with a whole number.

Multiply any decimal numbers up to three decimal places with

Solve problems involving multiplication of decimal numbers.

Devision of Decimal numbers

Divide decimal numbers up to three decimal places by a whole number.

Divide a decimal number of three decimal places by

iv. Solve problem involving division of decimal numbers.

Convert fraction of hundredths to percentage and vice versa.

Convert Fractions and Decimals to Percentage

Relate fractions and decimals to percentage.

Convert proper fractions with the denominators of 2, 4, 5, 20, 25 and 50 to percentage.

Page 18: rancangan tahunan matematik

Satu

4 Percentage

Satu 5 Money

1 Money to RM100 000 1 i.

2 i. Add money in ringgit and sen up to RM100 000

ii.

iii.

v.

26vi.

Dua

27

6 Time

1 1 i. Read and write time in the 24-hour system.

ii.

28iii.

292 i.

ii.

iii.

Convert units of time from

a) century to years and vice versa

b) century to decades and vice versa

30 2 3 i. Add time in hours, minutes and seconds.

ii. Subtract time in hours, minutes and seconds.

iii. Multiply time in hours, minutes and seconds.

iv. Convert percentage to decimal number and vice versa

page 25

Understand and use the vocabulary related to money

Read and write the value of money in ringgit and sen up to RM100 000

Use and apply mathematics concepts when dealing with money up to RM100 000

Subtract money in ringgit and sen with the range of RM100 000

Multiply money in ringgit and sen with a whole number, fraction or decimal with products within RM100 000

iv. Divide money in ringgit and sen with divisor up to RM100 000

Perform mixed operation of multiplication and division involving money in ringgit and sen up to RM100 000

Solve problems in real context involving money in ringgit and sen up to RM100 000

Reading And Writing Time

Understand the vocabulary related to time

Relate the time in the 24-hour system to the 12-hour system.

Convert time from the 24-hour system to the 12-hour system and vice versa.

Understand the relationship between units of time.

Convert time in fractions and cecimals of a minute to seconds.

Convert time in fractions and decimals of an hour to minutes and to seconds.

Convert time in fractions and decimals of a day to hours, minutes and seconds.

iv.

Basic Operations Involving Time

Add, subtract, multiply and divide units of time.

Page 19: rancangan tahunan matematik

Dua 6 Time

Divide time in hours, minutes and seconds.

Dua

6 Time

3 Duration 4 i. Identify the start and end times of an event.

ii. Calculate the duration of an event, involving

a) hours, minutes and seconds.

b) days and hours.

iii.

32

7 Length

1 Measuring Length 1 Measure and compare distances. i.

ii. Measure using scales for distance between places.

33 2 2 i. Relate metre and kilometre.

ii. Convert metre to kilometre and vice versa

34

3 3 i.

a) kilometres

b) kilometres and metres.

ii.

a) a one-digit number

b) 10, 100 and 1000;

iii.

35

8 Mass

1 Comparing Mass 1 Compare mass of objects i.

ii.

iii.

2 i.

iv.

page 31

Use and apply knowledge of time to find the durations.

Determine the start or end time of an event from a given duration of time.

iv. Solve problems involving time duration in fractions and/or decimals or hours, minutes and seconds.

Describe by comparison the distance of one kilometre.

Relationships between Units of Length

Understand the relationship between units of length

Basic Operations Involving Length

Add, subtract, multiply and divide units of length.

Add and subtract units of length involving conversion of units in

Multiply and divide units of length in kilometres involving conversion of units with

Solve problems involving basic operations on length.

Measure and record masses of objects in kilograms and grams.

Compare the massess of two objects using kilogram and gram, stating the comparison in multiples or fractions.

Estimate the masses of objects in kilograms and grams.

Understand the relationship between units of mass.

Convert units of mass from fractions and decimals of a kilogram to grams and vice versa.

Page 20: rancangan tahunan matematik

Dua

8 Mass

ii.

Dua 9

1 Comparing Volume 1 i.

ii.

iii.

372 2 i.

ii. Solve problem involving volume of liquid.

383 3 Add and subtract units of volume i. Add units of volume involving mixed decimals in

a) litres

b) mililitres,

c) litres and mililitres

ii.

a) litres

b) mililitres,

c) litres and mililitres

384 Multiply and divide units of volume iii.

a) a one-digit number

b) 10, 100, 1000, involving conversion of units.

Divide units of volume using

a) up to 2 digit number,

b) 10, 100, 1000, involving mixed decimals.

39 v. Divide unit of volume using

a) a one-digit number

b) 10, 100, 1000, involving conversion of units.

Understand the relationship between units of mass.

Solve problems involving conversion of mass units in fractions and/ or decimals.

page 36

Volume of Liquid

Measure and compare volumes of liquid using standard units.

Measure and record the volumes of liquid in a smaller metric unit given the measure in fractions and/or decimals of a larger unit.

Estimate the volumes of liquid involving fractions and decimals in litres and mililitres.

Compare the volumes of liquid involving fractions and decimals using litres and mililitres.

Relationship between Units of Volume

Understand the relationship between units of volume of liquid.

Convert units of volumes involving fractions and decimals in litres and vice versa.

Operations on Volume of Liquid

Subtract units of volume involving mixed decimals in

Multiply units of volume involving mixed number using:

iv.

Page 21: rancangan tahunan matematik

Dua 9

vi.

Dua ###

1 1 i.

a) square and square

b) rectangle and rectangle,

c) triangle and triangle,

d) square and rectangle,

e) square and triangle,

f) rectangle and triangle.

ii.

a) square and square

b) rectangle and rectangle,

c) triangle and triangle,

d) square and triangle,

e) rectangle and triangle.

iii.

412 i.

a) square and square

b) rectangle and rectangle,

c) square and rectangle

ii.

a) square and square

b) rectangle and rectangle,

c) square and rectangle

Volume of Liquid

Solve problems involving computations for volume of liquids.

page 40

Shape and Space

Composite Two-Dimensional Shapes

Find the perimeter of composite 2-D shapes

Measure the perimeter of the following composite 2-D shapes.

Calculate the perimeter of the following composite 2-D shapes:

Solve problems involving perimeter of composite 2-D shapes.

Find the area of composite 2-D shapes.

Measure the area of the following composite 2-D shapes.

Calculate the area of the following composite 2-D shapes:

Page 22: rancangan tahunan matematik

Dua ###

iii.

422 1 i.

a) cube and cube,

b) cuboid and cuboid,

c) cube and cuboid.

Dua

###

2 1 ii.

a) cube and cube,

b) cuboid and cuboid,

c) cube and cuboid.

iii.

43

###Data Handling

1 Average 1 i. Describe the meaning of average.

ii. State the average of two or three quantities.

iii. Determine the formula for average.

44 2 i. Calculate the average using formula.

ii. Solve problem in real live situation.

45

2 1 i.

2 ii. Construct a bar graph from a given set of data.

iii.

Kepentingan Rancangan Kerja Tahunan :1. Membolehkan guru merancang dan bersedia untuk mengajar murid dengan terancang dan teratur.

2. Susunan topik akan memudahkan guru membuat persediaan mengajar.

3. Membolehkan guru menyediakan bahan-bahan p & p mengikut strategi yang dipilih.

4. Membantu guru mengurus masa dengan lebih baik.

5. Membolehkan guru ganti melaksanakan pengajaran jika guru berkenaan tidak dapat menjalankannya.

6. Menentukan skop kemahiran dan aktiviti sepanjang tahun pengajaran.

Shape and Space

Solve problems involving areas of composite 2-D shapes.

Composite Three-Dimensional Shapes

Find the volume of composite 3-D shapes.

Measure the volume of the following composite 3-D shapes

page

42

Shape and Space

Composite Three-Dimensional Shapes

Find the volume of composite 3-D shapes.

Calculate the volume of the composite 3-D shapes following

Solve problems involving volume of composite 3-D shapes.

Understand and use the vocabulary related to average.

Use and apply knowledge of average.

Organising and Interpreting Data

Understand the vocabulary relating to data organisation in graphs.

Recognise frequency, mode, range, maximinum and minimum value from bar graphs.

Organise and interpret data from tables and charts

Determine the frequency, mode, range, average, maximum and minimum value from a given graph.

Page 23: rancangan tahunan matematik

RANCANGAN PENGAJARAN TAHUNAN BAGI TAHUN 2011Penyelarasan RPT Peringkat PPD Ranau

SEKOLAH :

MATA PELAJARAN : Matematik

KELAS / TAHUN : Tahun 6

Penggal Minggu/ Tarikh Topik

Satu

1st 1 1

Whole Numbers

1 1 i. Name and write numbers up to SEVEN digits

03 - 07.01.11ii.

2 iii. Express whole numbers in

a) decimals

b) fractions

of a millian and vice versa.

2nd 2 Compare number values up to seven digits.

10 - 14.01.11

v.

3rd 3 2 2 i. Add any two to five numbers to 9 999 999

17 - 21.01.11 ii. Subtract

4th 4 iii. Multiply up to six-digit numbers with

24 - 28.01.11 a) a one-digit number

b) a two-digit number

c) 10, 100 and 1000

Divide numbers of up to SEVEN digits by

a) a one-digit number

b) 10, 100 and 1000

c) two-digit number

5th 5 v. Solve

31.01 - 04.02. a) addition,

Muka surat HSP

Bidang Pembelajaran (Learning

Area)

Objektif (Learning Objectives)

Kemahiran (Learning Outcomes)

Nilai Moral

Numbers up to seven digits

Develop number sense up to SEVEN digits

Determine the place value of the digits in any whole number up to SEVEN digits.

iv.

Round off numbers to the nearest tens, hundreds, thousands, ten thousands, hundred thousands and millions.

Basic operations with numbers up to seven digits.

Add, subtract, multiply and divide numbers up to SEVEN digits.

a) one numbers from a bigger number less than 10 000 000

b) successively from a bigger number less than 10 000 000

iv.

Page 24: rancangan tahunan matematik

Satu Whole Numbers

b) subtraction,

Satu

6th 1

Whole Numbers

2 2 c) multiplication,

07 - 11.02.11 d) division

problem involving numbers up to seven digits

7th 63 3 i.

14 - 18.02.11ii.

8thiii.

21 - 25.02.11

9th 7 2 Fraction4 Addition of Fractions 1 i.

28.02 - 04.03ii.

iii.

10th 85 Subtraction of Fractions 2 i.

07 - 11.03.11ii.

iii.

11th 96 3 i. Multiply mixed numbers with a whole numbers.

21 - 25.03.11 10 7 Division of Fractions 4 ii. Divide fractions with

a) a whole number

b) a fraction

iii. Divide mixed number with

a) a whole number

b) fractions

12th 11 3 Decimals1 1 i.

28.03 - 01.04. a) decimal numbers only

b) whole numbers and decimal numbers

13th 12 4 Percentage 1 1 i. Convert mixed numbers to percentage

Page 5

Basic operations with numbers up to SEVEN digits.

Add, subtract, multiply and divide numbers up to SEVEN digits.

Mixed Operation with numbers up to SEVEN digits

Perform mixed operations with whole numbers.

Compute mixed operations problems involving addition and multiplication.

Compute mixed operations problems involving subtractions and division.

Compute mixed operations problems involving brackets.

iv. Solve problems involving mixed operations on numbers of up to seven digits.

Add three mixed numbers with denominators of up to 10.

Add three mixed numbers with the same denominator of up to 10.

Add three mixed numbers with different denominators of up to 10.

Solve problems involving addition of mixed numbers.

Subtract mixed numbers with denominators up to 10.

Subtract involving three mixed numbers with the same denominator up to 10.

Subtract involving three mixed numbers with different denominators of up to 10.

Solve problem involving subtraction of mixed numbers.

Multiplication of Fractions

Multiply any mixed numbers with a whole numbers up to 1000

Divide fractions with a whole number and a fraction.

Mixed operation with decimals

Perform mixed operations of addition and subtraction of decimals of up to 3 decimal places.

Add and subtract 3 to 4 decimal numbers of up to 3 decimal places, involving

Relationship between percentage, fraction and decimal

Relate fractions and decimals to percentage.

Page 25: rancangan tahunan matematik

Satu

04 - 08.04.11ii.

Satu

14th 4 Percentage1 1 iii.

11 - 15.04.11

15th 14 5 Money1 Money up to 10 million 1 i.

18 - 22.04.11ii.

16th 15 6 Time1 Duration 1 i. Calculate the duration of an event in between

25 - 29.05.11 a) months

b) years

c) dates

17thii.

02 - 06.05.11 16iii.

18th 17 7 Length1 Computation of Length 1 i.

09 - 13.05.11ii.

19th 18 8 Mass1 Computation of Mass 1 i.

16 - 20.05.11 a) proper fraction

b) mixed numbers

ii.

a) without conversion

b) with conversion

Dua

21st 19 9 Volume of Liquid1 1 i.

13 - 17.06.11ii.

22nd 20 10 Shape and Space

1 1 i.

Relationship between percentage, fraction and decimal

Relate fractions and decimals to percentage.

Convert decimal numbers of value more than 1 to percentage.

Page 13

Relationship between percentage, fraction and decimal

Relate fractions and decimals to percentage.

Find the value for a given percentage of a quantity

iv. Solve problems in real context involving percentage, fractions and decimals.

Use and apply number sense real context involving money.

Perform mixed operations with money up to a value of RM10 million.

Solve problems in real context involving computation of money.

Use and apply knowledge of time to find the duration.

Compute time period from situations expressed in fractions of duration.

Solve problem in real context involving computation of time duration.

Use and apply fractional computation to problems involving length.

Compute length from a situation expressed in fraction.

Solve problem in real context involving computation of length.

Use and apply fractional computation to problems involving mass.

Compute mass from a situation expresse in fractions.

Solve problem in real context involving computation of mass.

Computation of volume of liquid

Use and apply fractional computation to problems involving volume of liquid

Compute volume of liquid from a situation expressed in fraction.

Solve problem in real context involving computation of volume of liquid

Two-Dimensional Shapes

Find the perimeter and area of composite two-dimensional shepes.

Find the perimeter of a two-dimensional composite shapes of two or more quadrilaterals and triangles.

Page 26: rancangan tahunan matematik

Dua

20 - 24.06.11 21

ii.

Dua

23rd 10 Shape and Space 1 1 iii.

27.06. - 01.07.

24th 22

2 1 i.

04 - 08.07.11

25thii.

11 - 15.07.11 23

iii.

26th 24 11 Data Handling1 Average 1 Understand and compute average. i. Calculate the average of up to five numbers.

18 - 22.07.11 25ii. Solve problems in real contexts involving average.

27th 262 1 i. Construct a pie chart from a given set of data.

25 - 29.07.11

ii.

28thPEPERIKSAAN PERCUBAAN UPSR

01 - 05.08.11

Kepentingan Rancangan Kerja Tahunan :1. Membolehkan guru merancang dan bersedia untuk mengajar murid dengan terancang dan teratur.

2. Susunan topik akan memudahkan guru membuat persediaan mengajar.

3. Membolehkan guru menyediakan bahan-bahan p & p mengikut strategi yang dipilih.

4. Membantu guru mengurus masa dengan lebih baik.

5. Membolehkan guru ganti melaksanakan pengajaran jika guru berkenaan tidak dapat menjalankannya.

6. Menentukan skop kemahiran dan aktiviti sepanjang tahun pengajaran.

Find the area of a two-dimensional composite shapes of two or more quadrilaterals and triangles.

Page 21

Two-Dimensional Shapes

Find the perimeter and area of composite two-dimensional shepes.

Solve problems in real context involving calculation of perimeter and area of two-dimensional shapes.

Three-Dimensional Shapes

Find the surface area and volume of composite three-dimensional shapes.

Find the surface area of a three-dimensional composite shape of two or more cubes and cuboids.

Find volume of a three dimensional composite shape of two or more cubes and cuboids.

Solve problems in real contexts involving calculation of surface area and volume of three-dimensional shapes.

Organising and interpreting data

Organise and interpret data from tables and charts.

Determine the frequency, mode, range, mean, maximum and minimum value from a pie chart.