kontRak_MT_T5_T6
Transcript of kontRak_MT_T5_T6
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Mathematics Year 62010
No Topic/Learning Area/ Learning JAN FEB MARCH APRIL MAY JUNE JULY AUGUST S
Learning Objectives Outcomes 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2
1 Whole Numbers i) name and write numbers
Numbers Up to seven digits up to seven digit
Develop number sense up ii) determine the place value
to seven digits of the digits in any wholenumber.
iii) Express whole numbers in
decimals and fractions
of a million and vice versa
Basic Operations i)Add any two to five numbers
Add, subtract , multiply and to 9 999 999
divide numbers involving ii) Subtract
Numbers Up to seven digits a) one number from a bigger
number less than 10 000 000
b) successively from a biggernumber less than 10 000 000
iii) Multiply up to six digit
numbers with
a) a one digit number
b) a two digit number
c) 10, 100, 1 000
iv) Divide numbers of up to
seven digits by
a one digit number,
10,100 and 1000
two digit numbev) Solve:
additiion, subtraction,
multiplication, division
Mixed Operations i) Compute mixed operations
Perform mixed operations wi problems involving addtion
Whole Numbers and multiplication.
ii) Compute mixed operatios
problems solving
subtraction and division.
iii) compute mixedoperation problems solving
brackets
iv)Solve problems involving
mixed operations on
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p
Mathematics Year 62010
No Topic/Learning Area/ Learning JAN FEB MARCH APRIL MAY JUNE JULY U
Learning Objectives Outcomes 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2
2 Fractions
1. Addition of fractions
Add three mixed numbers wit same denominator of up to 10.
denominators of up to 10.
i)add three mixed numbers
with the same denominator different denominators of up to 10.
of up to 10. iii)Solve problems involving addition
of mixed numbers.
with different denominators
of up to 10.Solve problems involving
addition of mixed numbers.
denominators of up to 10.3. Multiplication of fractions
3. Multiply any mixed numbers with
a whole numbers up to 1000.4. Division of fractions
4. Divide fractions with a wholenumber and a fraction
3 Decimals
1. Mixed operations with decimals
Perform mixed operations decimal numbers of
of addition and subtraction up to 3 decimal places, involving
of decimals of up to
3 decimal places. whole numbers and decimal numbers
4 Percentage
Relationship between percentagConvert mixed numbers to percentage.
fraction and decimal Convert decimal numbers of1. Relationship between percentage,value more than 1 to percentage
fraction and decimal1. Relate fractions and decimals Find the value for a given percentage
t t f tit
(i) Add three mixed numbers with the
(ii) Add three mixed numbers with
(ii) Add three mixed numbe
2. Subtract of fractions
2. Subtract mixed numbers with
(i) Add and subtract three to four
a) decimal numbers only
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Mathematics Year 62010
No Topic/Learning Area/ Learning JAN FEB MARCH APRIL MAY JUNE JULY AUGU
Learning Objectives Outcomes 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3
5 Money
1. Money up to RM10 million
. Use and apply number sense with money up to a value of RM10in real context involving monmillion.
Solve problems in real context
involving computation of money.
6 Time
Duration
Use and apply knowledge of tim between
to find the duration.
Compute time period from
situations expressed
in fractions of duration.Solve problem in real context
involving computation of time duration.
7 Length (i) Compute length from a situation
1. Computation of length expressed in fraction.1. Use and apply fractional (ii) Solve problem in real
computation to problems context involving
involving length. computation of length
8 Mass1. Computation of mass Compute mass from a situation
1. Use and apply fractional expressed in fraction.
computation to problems (ii) Solve problem in
involving mass. real context involving
computation of mass
9 Volume of liquid
1. Computation of liquid (i) Compute volume of l iquid from
1. Use and apply fractional a situation expressed in fractioncomputation to problems ii) Solve problem
involving volume of liquid. in real context involving
computation of volume of liquid.
10 Shape and space
(i) Perform mixed operations
(i) Calculate the duration of an event in
a) months
b) years
c) dates.
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Mathematics Year 62010
two-dimensional composite
shape of two or more quadrilaterals
and triangles.
No Topic/Learning Area/ Learning JAN FEB MARCH APRIL MAY JUNE JULY AUGU
Learning Objectives Outcomes 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3
1. Find the perimeter and area iii) Solve problems in real contexts
of composite two-dimensiona involving calculation of perimeter and
shapes. area of two-dimensional shapes.2. Three-dimensional shapes Find the surface area of a three-dimensional
Find the surface area and volumcomposite shape of two or more
of composite three-dimensio cubes and cuboids.
shapes ii) 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.
11 Data Handling
1. Average i)Calculate the average
1. Understand and compute of up to five numbers.
average. ii)Solve problems in real contexts
2. Organising and interpreting involving average.
data (i) Construct a pie chart from a given
Organise and interpret data fro set of data.
tables and charts. ii) Determine the
frequency, mode, range,
mean, maximum and minimum value
from a pie chart.
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SEKOLAH KEBANGSAAN SUNGAI ULAR
09000 KULIM
KEDAH
MATHEMATICS YEAR 5
NoTopic/Learning Area/ Learning JAN FEB MARCH APRIL MAY JUNE JULY AU
Learning Objectives Outcomes 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1
1 Whole Numbers i) Name and write numbers up
Numbers to 1 000 000 to 1 000 000
1. develop number sense up to ii) determine the place value of
1 000 000 the digits in any whole number
up to 1 000 000
iii) Compare value of numbers up
to 1 000 000
iv) Round off numbers to the
nearest tens, hundreds,thousands, ten thousands
and hundred thousands
i) Add any two to four numbers
to 1 000 000
Addition with the highest total of ii) Solve addition problems
1 000 000 i) Subtract one number from a
2. Add numbers to the total of 1 000 000 bigger number less than
Subtraction within the range of 1 000 000
1 000 000 ii) Subtract successively from
3. Subtract numbers from a number a bigger number less than
less than 1 000 000 1 000 000
iii) Solve subtraction problems
i) Multiply up to five digit
numbers with
Multiplication with the highest a) a one-digit number
product of 1 000 000 b) a two-digit number
4. Multiply any two numbers with the c) 10, 100 and 1000
highest product of 1 000 000 ii) Solve problems involving
multiplication
i) Divide numbers up to six
digits bya) a one-digit number
b) 10, 100 and 1000
Division with the highest dividend c) two-digit number
0f 1 000 000 ii) Solve problems involving
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No Topic/Learning Area/ Learning JAN FEB MARCH APRIL MAY JUNE JULY AU
Learning Objectives Outcomes 1 1 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1
2 Fractions i) Name and write improper
Improper Fractions fractions with denominators up to
1. Understand Improper fractions 10
ii) Compare the value of the two
improper fractions.
Mixed Numbers
2. Understand mixed numbers i) Name and write mixed numbers
with denominators up to 10
ii) Convert improper fractions
to mixed numbers and vice-versa
Addition of fractions
3. Add two mixed numbers i) Add two mixed numberswith the same denominators
up to 10
ii) Add two mixed numbers with
different denominators up to 10
iii) Solve problems involving
addtion of mixed numbers
Subtraction of fractions i) Subtract two mixed numbers
4. Subtract mixed numbers with the same denominators
up to 10.
ii) Subtract two mixed numbers
with different denominators up
to 10.
iii) Solve problems involving
subtraction of mixed numbers
Multiplication of fractions i) Multiply whole numbers with
5. Multiply any proper fractions with proper fractions
a whole number up to 1 000 ii) Solve problems involving
multiplication of fractions
i) Name and write decimal
3 Decimals numbers to three decimalDecimal Numbers places.
1. Understand and use the vocabulary ii) Recognise the place of
related to decimals thousandths
iii) Convert fractions of
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No Topic/Learning Area/ Learning JAN FEB MARCH APRIL MAY JUNE JULY AU
Learning Objectives Outcomes 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1
Addition of decimal numbers
2. Add decimal numbers up to three i) Add any two to four decimal
decimal places numbers up to three decimal
places involving
a) decimal numbers and decimal
numbers
b) Whole numbers and decimal
numbers
ii) Solve problems involving
addition of decimal numbers
Subtraction of decimal numbers i) Subtract a decimal number
3. Subtract decimal numbers up to from another decimal up to
three decimal places three decimal places
ii) Subtract successively anytwo decimal numbers up to
three decimal places
iii) Solve problems involving
subtraction of decimal numbers
Multiplication of decimal numbers
4. Multiply decimal numbers up to i) Multiply any deimal numbers
three decimal places with a whole up to three decimal places with
number a) a one-digit number
b) a two-digit number
c) 10, 100, 1000
ii) Solve problems involving
multiplication of decimal numbers
Division of decimal numbers
5. Divide decimal numbers up to threee i) Divide a whole number by
decimal places by a whole number 101,001,000
ii) Divide a whole number by
a) a one-digit number
b) a two-digit whole number
iii) Divide a decimal number of
three decimal places by
a) a one-digit numberb) a two-digit whole number
c) 10
d) 100
iv) Solve problem involving
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No Topic/Learning Area/ Learning JAN FEB MARCH APRIL MAY JUNE JULY AU
Learning Objectives Outcomes 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1
4 Percentage ii) State fraction of hundredths
Percentage in percentage
1. Understand and use percentage iii) Convert fraction of hundredths
to percentage and vice versa
Convert fractions and decimals i) Convert proper fractions of
to percentage tenths to percentage
2. Relate fractions and decimals ii) Convert proper fractions with
to percentage the denominators of 2,4,20,25
and 50 to percentage
iii) Convert percentage tofraction in its simplest form
iv) Convert percentage to
decimal numbers and vice versa
5 Money
Money to RM 100 000 i) Read and write the value
1. Understand and use the vocabulary of money in ringgit and sen up
related to money to RM 100 000
2. Use and apply mathematics concepts i) Add money in ringgit and sen
when dealing with money up to up to RM 100 000
RM 100 000 ii) Subtract money in ringgitand sen within the range of
RM 100 000
iii) Multiply money in ringgit and
sen with a whole number,
fraction or decimal with products
within RM 100 000
iv) Divide money in ringgit and
sen with the divisor up to
RM 100 000
v) Perform mixed operation of
multiplication and division
involving money in ringgit
ands sen up to RM 100 000
iv)solve problems in real context
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NoTopic/Learning Area/ Learning JAN FEB MARCH APRIL MAY JUNE JULY A
Learning Objectives Outcomes 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4
6 Time
Reading and writing time i) Read and write time in the
1. Understand the vovabulary 24-hour system
related to time ii) Relate the time in the 24-hour
system to the 12-hour system.
iii) Convert time from the 24-hour
system to the 12-hour system.
and vice versa.
Relationship between units of time i) Convert time in fractions and
2. Understand the relationship decimals of a minute to seconds
between units of time ii) Convert time in fractions and
decimals of hour to minutes
ad to seconds.iii) Convert time in fractions and
decimals of a day to hours,
minutes and seconds.
iv) Convert units of time from
a) century to years and
vice versa
b) Century to decades and
vice versa
Basic operations involving time
3. Add, subtract, multiply and divide i) Add time in hour, minutes and
units of time. seconds
ii) Subtract time in hours, minutes
and seconds
iii) Multiply time in hours, minutes
and seconds
iv) Divide time in hours, minutes
and seconds
Duration
4. Use and apply knowledge of time i) Identify the start and end
to find the duration times of an event
ii) Calculate the duration of anevent, involving
a) hours, minutes and seconds
b) days and hours
iii) Determine the start or nd time
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NoTopic/Learning Area/ Learning JAN FEB MARCH APRIL MAY JUNE JULY A
Learning Objectives Outcomes 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4
or decimals of hours, minutes
and seconds.
7 Length
Measuring length i) Describe by comparison
1. Measure and compare distances the distance of one kilometre
ii) Measure using scales for
distance between places
Relationship between units of length i) Relate metre and kilometre
2. Understand the relationship ii) Convert metre to kilometre
between units of length and vice versa.
i) Add and subtract units of
Basic operations involving length length involving conversion3. Add, subtract, multiply and divide of units in
units of length a) kilometres
b) kilometres and metres
ii) Multiply and ivide units of
length in kilimetres involving
conversion of units with
a) a one digit number
b) 10, 100 , 1000
iii) Solve problems involving
basic operations on length
8 Mass
Comparing mass i) Measure and record masses
1. Comparing mass of objects of objects in kilograms and
grams
ii) Compare the masses of two
objects using kilogram and gram,
stating the comparison in
multiples or fraction
iii) Estimate the masss of objects
in kilograms and grams
i) Convert units of mass fromfractions and decimals of a
2. Understand the relationship between kilogram to gram and vice versa
units of mass. ii) Solve problems involving
conversion of mass units in
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No Topic/Learning Area/ Learning JAN FEB MARCH APRIL MAY JUNE JULY A
Learning Objectives Outcomes 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4
9 Volume of liquid
Comparing volume
1. Measure and compare volumes of i) Measure and record the
liquid using standard units volumes of liquid in a smaller
metric unit given the measure in
fractions and/or decimals of a
larger unit
ii) Estimate the volumes of liquid
involving fractions and decimals
in litres and mililitresiii) Compare the volumes of
liquid involving fractions and
decimals using litres and mililitres
Relationship between units of volume
2. Understand the relationship i) Convert unit of volumes
between units of volume of liquid involving fractions and decimals
in litres and vice versa
ii) Solve problems involving
volume of liquid
Operations on volume of liquid
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) Subtract units of volume
involving mixed decimals in
a) litres
b) mililitres
c) litres and mililitres
4. Multiply and divide units of iii)Multiply units of volume
volume involving mixed number using
a) a one digit number
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No Topic/Learning Area/ Learning JAN FEB MARCH APRIL MAY JUNE JULY A
Learning Objectives Outcomes 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4
b) 10, 100, 1000, involving
mixed decimals
v) Divide unit of volume using:
a) a one digit number
b) 10, 100, 1000, involving
conversion of units
iv) Solve problems involving
computation for volume of liquids10 Shape and space i) Measure the perimeter of the
Composite two-dimensional shapes following composite 2-D shapes
1. Find the perimeter of composite a) square and squre
2-D shapes b) rectangle and rectangle
c) triangle and triangle
d) square and rectangle
e) square and triangle
f) rectangle and triangle
ii) Calculate the perimeter of
the following composite 2-D
shapes.
a) square and squre
b) rectangle and rectangle
c) triangle and triangle
d) square and rectangle
e) square and triangle
f) rectangle and triangle
iii) Solve problems involving
perimeters of composite 2-D
shapes.
2. Find the area of composite 2-D shapes i) Measure the area of thefollowing composite 2-D shapes
a) square and squre
b) rectangle and rectangle
c) square and rectangle
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No Topic/Learning Area/ Learning JAN FEB MARCH APRIL MAY JUNE JULY A
Learning Objectives Outcomes 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4
Composite three-dimensional shapes i) Measure the volume of the
1. Find the volume of composite 3-D following composite 3-D shapes
shape a) cube and cube
b) cuboid and cuboid
c cube and cuboid
ii) Calculate the volume of thecomposite 3-D shapes follwing
a) cube and cube
b) cuboid and cuboid
c) cube and cuboid
iii) Solve problems involving
volume of composite 3-D shapes
11 Data handling
Average
1. Understand and use the vocabulary i) Describe the meaning of
related to average average
ii) State the verage of two or
three quantities
iii) Determine the formuls for
average
2. Use and apply knowledge of average i) Calculate the average using
formula
ii) Solve problem in real life
situation
Organising and interpreting data1. Understand the vocabulary relating i) Recognise frequency, mode,
to data organisation in graphs range, maximum and minimum
value from bar graphs.
2 Organise and interpret data from ii) Construct a bar graph from
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