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MATHEMATICS

                                      YEAR 4




By: Cikgu Osman b. Said (TQ , moga Allah balas jasa baik tuan, Amiin)
ReDigitized by: Unit ICT SEDARA ONLINE
http://sekolah.mmu.edu.my/skserkamdarat
9 Zulhijjah 1426H –Salam Aidil Adha
TOPIC &                      LEARNING OBJECTIVES & LEARNING OUTCOMES
LEARNING AREA


         1
   WHOLE NUMBERS

1. Numbers to                Develop number sense involving numbers of up to 100 000.
   100 000                      i. Name and write numbers up to 100 000.
                                ii Determine the place value of digits in any whole number
                                    up to 100 000
                                iii Compare value of numbers to 100 000
                                iv Round off numbers to the nearest tens, hundreds and
                                    thousands.

2. Addition with the         Add numbers to the total of 100 000
   highest total of             i Add any two numbers to four numbers to 100 000
   100 000                      ii Solve addition problems.


3. Subtraction within the    Subtract numbers from a number less than 100 000
   range of 100 000             i Subtract one or two numbers from a bigger numbers less
                                    than 100 000
                                ii Solve subtraction problems.


4. Multiplication with the   Multiply any two numbers with the highest product of 100 000
highest product of 100 000     i Multiply three-digit numbers with
                                        a) 100
                                        b) two-digit numbers
                               ii Multiply four-digit numbers with
                                        a) one-digit numbers
                                        b) 10
                                        c) two-digit numbers
                               iii Multiply two-digit numbers with 1 000
                               iv Solve multiplication problems.


5. Division with the         Divide a number less than 100 000 by a two-digit numbers.
   highest dividend of          i Divide four-digit numbers by
   100 00                               a) one-digit numbers
                                        b)   10, 100 and 1 000
                                        c)    two-digit numbers
                                ii Divide five-digit numbers by
                                        a) one-digit numbers
                                        b)   10, 100 and 1 000
                                        c)    two-digit numbers
                                iii Solve division problems.
6. Mixed operations        Perform mixed operation involving addition and subtraction
                              i Perform mixed operation involving addition and
                                     subtraction with numbers less than
                                     a) 100
                                     b) 1 000
                                     c) 10 000
                              ii Solve mixed operation problems



          2
      FRACTIONS


1. Proper Fractions        Name and write proper fractions with denominators up to 10.
                              i Name and write proper fractions eith denominators up to 10
                             ii Compare the value of two proper fractions with
                                     a) the same denominators
                                     b)     the numerator of 1 and different denominators up to
                                           10.

2. Equivalent fractions    Express equivalent fractions for proper fractions.
                              i    Express and write equivalent fractions for proper fractions.
                              ii Express equivalent fractions to its simplest form

3. Addition of fractions   Add two proper fractions with denominators up to 10
                              i    Add two proper fractions with the same denominator up to 10
                                   to its simplest form.
                                       a) with 1 as the numerator for both fractions
                                       b) with different numerators
                             ii    Add two proper fractions with different denominators up to
                                   10 to its simplest form.
                                        a) with 1 as the numerator for both fractions
                                        b) with different numerators
                              iii   Solve problems involving addition of proper fractions.


4. Subtraction of          Subtract proper fractions with denominators up to 10
   fractions                  i     Subtract two proper fractions with the same denominator up
                                    to 10 to its simplest form.
                                       a) with 1 as the numerator for both fractions
                                       b) with different numerators
                             ii     Subtract two proper fractions with different denominators up
                                    to 10 to its simplest form.
                                        a) with 1 as the numerator for both fractions
                                        b) with different numerators
                              iii    Solve problems involving subtraction of proper fractions.
3
       DECIMALS

1. Decimal numbers          Understand decimal numbers
                              i Name and write decimals with
                                     a) one decimal 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

2. Addition of decimal      Add decimals up to two places
   numbers                    i Add any two to four decimals of one decimal place involving
                                    a) decimals only
                                    b) whole numbers and decimals
                                    c) mixed decimals
                              ii Add any two to four decimals of two decimal place involving
                                    a) decimals only
                                    b) whole numbers and decimals
                                    c) mixed decimals
                              iii Solve problems involving addition of decimal numbers.

3. Subtraction of decimal   Subtract decimals up to two decimals places
   numbers                    i Subtract one to two decimals from decimal of one decimal place
                                  involving
                                      a) decimals only
                                      b) mixed decimals
                                      c) whole numbers and decimals ( mixed decimals )
                              ii Subtract one to two decimals of one or two decimal places
                              iii Solve problems involving subtraction of decimals


4. Multiplication of        Multiply decimals up to two decimal places with a whole number.
   decimal numbers            i Multiply any decimals of one decimal place with
                                     a) one-digit number
                                     b) 10, 100 and 1000
                              ii Multiply any decimals of two decimal places with
                                     a) one-digit number
                                     b) 10, 100 and 1000
                              iii Solve problems involving multiplication of decimals
5. Division of decimal    Divide decimals up to two decimal places by a whole number.
   numbers                  i Divide any decimals of one decimal place with
                                   a) one-digit number
                                   b) 10
                            ii Divide decimals of two decimal places by one-digit number
                            iii Divide decimals by a whole number with the dividend value of
                                up to two decimal places
                            iii Solve problems involving division of decimals



          4
        MONEY

1. Money up to            Understand and use vocabulary related to money
   RM10 000                 i Read and write the value of money up to RM10 000
                            ii Add money up to RM10 000
                            iii Subtract money from up to RM10 000
                            iv Multiply money to the highest product of RM10 000
                            v Divide money with divident not more than RM10 000
                            vi Perform mixed operation involving addition and subtraction
                                 involving money up to RM10 000
                            vii Round off money to the nearest “ringgit”
                            viii Solve problems involving of up to RM10 000



           5
         TIME

1. Reading and writing    Understand, read and write time in hours and minutes
   time                     i Read time in hours and minutes accoding to the 12-hours
                                system.
                            ii Write time in hours and minutes according to the 12-hours
                                system

2. Time schedule          Construct a simple schedule
                            i Construct, read and extract information from a simple schedule
                            ii Extract information from a calendar
                            iii Solve simple real life problems involving reading the calendar

3. Relationship between   Understand the relationship between units of time
   units of time            i State the relationship between units of time
                                   a) 1 day = 24 hours
                                   b) 1 year = 365 / 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 day, 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 minutes, and vice versa

4. Basic operations   Add, subtract, multiply and divide units of time
   involving time        i Add time involving conversion of units with answers in
                            compound units of :
                                  a) hours and minutes
                                  b) years and months
                                  c) decades and years
                        ii Subtract time involving conversion of units with answers in
                            compound units of :
                                  a) hours and minutes
                                  b) years and months
                                  c) decades and years
                        iii Multiply time involving conversion of units with answers in
                            compound units of :
                                  a) hours and minutes
                                  b) years and months
                                  c) decades and years
                        iv Divide time involving conversion of units with answers in
                            compound units for time duration of :
                                  a) hours and minutes
                                  b) years and months
                                  c) decades and years
                         v Solve problems involving basic operations of time:
                                  a) hours and minutes
                                  b) years and months
                                  c) decades and years

5. Time duration      Use and apply knowledge of time to find the duration
                        i Read and state the start and end of an event from a schedule
                        ii Calculate the duration of an event from a schedule in
                                  a) minutes
                                  b) hours
                                  c) hours and minutes within a day and two consecutive
                                     live days
                        iii Calculate the start or the end of an event from a given duration
                            of time and read the start or end of an event
6
        LENGTH

1. Measuring length       Measure lengths using standard units
                            i Read measurement of length using units of milimetre
                            ii Write measurement of length to the nearest scales of tenth
                                division for :
                                    a) centimetre
                                     b) metre
                            iii Measure and record lengths of objects using units of
                                    a) milimetre
                                    b) centimetre and milimetre
                                    c) metre and centimetre
                             iv Estimate the lengths of objects in
                                    a) milimetre
                                    b) metre and milimetre
                                    c) centimetre and milimetre

2. Relationship between   Understand the relationship between unit of length
   units of length          i State the relationship between centimetre and milimetre
                            ii Convert units of length from
                                    a) milimetre to centimetre and vice versa
                                    b) compound units to a single unit

3. Basic operation        Add and subtract length
   involving length         i Add units of length, involving conversion of units in:
                                    a) milimetre
                                    b) metre and milimetre
                                    c) centimetre and milimetre
                            ii Subtract units of length involving conversion of units in:
                                    a) milimetre
                                    b) metre and milimetre
                                    c) centimetre and milimetre

                          Multiply and divide length
                            i Multiply units of length involving conversion of units by:
                                     a) a one-digit number
                                     b) 10, 100, 1000
                            ii Divide units of length, involving conversion of units by:
                                     a) a one-digit number
                                     b) 10, 100, 1000
                            iii Solve problems involving basic operation on length
7
         MASS

1. Measuring Mass         Measure mass using standard units
                            i Measure of masses using units of kilogram and gram
                            ii Read measurement of masses to the nearest scales division of
                                kilograms and grams
                            iii Estimate the masses of objects using kilograms and grams

2. Relationship between   Understans the relationship between units of mass
   units of mass            i Convert units of mass from
                                      a) kilograms to grams
                                     b) kilograms and grams to grams
                                     c) kilograms and grams to kilograms

3. Basic operations       Add and subtract involving units of mass.
   involving mass           i Add mass involving units of mass in:
                                    a) kilograms
                                    b) grams
                                    c) kilograms and grams
                            ii Subtract mass involving unis of mass in:
                                    a) kilograms
                                    b) grams
                                    c) kilograms and grams

                          Multiply and divide units of mass
                            iii Multiply mass involving conversion of units with
                                     a) a one-digit number
                                     b) 10, 100, 1000
                            iv Divide mass involving conversion of units
                                     a) a one-digit number
                                     b) 10, 100, 1000
                             v Solve problems involving basic operations with mass



        8
 VOLUME OF LIQUID

1. Measuring volume of    Measure and compare volume of liquid using standard units
   liquid                   i Read measurement of volume of liquid in litres and mililitres
                            ii Write measurement of volume of liquid to the nearest scales of
                                tenth division for
                                     a) litre
                                     b) mililitre
                            iii Measure and record the volume of liquid in litres and mililitres
                            iv Estimate the volume of liquid in litres and mililitres
2. Relationship between   Understand the relationship between units of volume of liquid
   units of volume of       i Convert units of volume from:
   liquid                           a) litres to mililitres
                                    b) mililitres to litres
                                    c) litres and mililitres to litres
                                    d) litres and mililitres to mililitres

3. Basic operation        Add and subtract units of volume
   involving volume of      i Add volume of liquid involving conversion of units in:
   liquid                          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

                          Multiply and divide units of volume
                             i Multiply volume of liquid involving conversion of units in:
                                    a) one-digit number
                                    b) 10, 100, 1000
                             ii Divide volume of liquid involving conversion of units by:
                                    a) one-digit number
                                    b) 10, 100, 1000
                             iii Solve problems involving volume of liquids


         9
  SHAPE AND SPACE

1. Two-Dimensional        Understand the perimeter of a two-dimensional shape
   shapes                   i Identify the sides of a
                                    a) square
                                    b) rectangle
                                    c) triangle
                            ii Measure and resord the perimeter of a
                                    a) square
                                    b) rectangle
                                    c) triangle


                          Understand the area of a two-dimensional shape
                            i Identify the dimension of a
                                    a) square
                                    b) rectangle
                            ii Compare with unit squares the size of a
                                    a) square
                                    b) rectangle
                            iii Measure and record the dimensional of squares and rectangles
Find the area and perimeter two-dimensional shapes
                          i Calculate the area of squares and rectangles
                          ii Solve problems involving perimeter and area of two-
                              dimensional shape


2. Three-Dimensional   Understand the volume for cubes and cuboids
   Shapes                i Identify the dimensions of cubes and cuboids
                         ii Compare with a unit cube
                                  a) Cuboid
                                  b) Cube
                         iii Measure and record the dimension of cubes and cuboids


                       Find the volume for cubes and cuboids
                          i Calculate the volume of cubes and cuboids
                          ii Solve problems involving of cubes and cuboids


         10
   DATA HANDLING

1. Pictograph          Use a pictograph to read and display data
                         i Describe a pictograph featuring
                                   a) the picture used to represent data,
                                   b) the title of the graph
                                   c) what the axes represent
                                   d) what one unit of picture represent
                         ii Extract and interpret information from pictographs
                         iii Construct pictographs to illustrate given information
                         iv Solve a given problem by organising and interpreting
                              numerical data in pictographs

2. Bar Graph           Use bar graph to read and display data
                          i Describe a bar graph featuring
                                   a) the title of the graph
                                   b) what the axes represent
                         ii Extract and interpret information from bar graphs
                          iii Construct bar graphs to illustrate given information
                          iv Solve a given problem by organising and interpreting
                              numerical data in bar graphs

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Hspm3thn4

  • 1. MATHEMATICS YEAR 4 By: Cikgu Osman b. Said (TQ , moga Allah balas jasa baik tuan, Amiin) ReDigitized by: Unit ICT SEDARA ONLINE http://sekolah.mmu.edu.my/skserkamdarat 9 Zulhijjah 1426H –Salam Aidil Adha
  • 2. TOPIC & LEARNING OBJECTIVES & LEARNING OUTCOMES LEARNING AREA 1 WHOLE NUMBERS 1. Numbers to Develop number sense involving numbers of up to 100 000. 100 000 i. Name and write numbers up to 100 000. ii Determine the place value of digits in any whole number up to 100 000 iii Compare value of numbers to 100 000 iv Round off numbers to the nearest tens, hundreds and thousands. 2. Addition with the Add numbers to the total of 100 000 highest total of i Add any two numbers to four numbers to 100 000 100 000 ii Solve addition problems. 3. Subtraction within the Subtract numbers from a number less than 100 000 range of 100 000 i Subtract one or two numbers from a bigger numbers less than 100 000 ii Solve subtraction problems. 4. Multiplication with the Multiply any two numbers with the highest product of 100 000 highest product of 100 000 i Multiply three-digit numbers with a) 100 b) two-digit numbers ii Multiply four-digit numbers with a) one-digit numbers b) 10 c) two-digit numbers iii Multiply two-digit numbers with 1 000 iv Solve multiplication problems. 5. Division with the Divide a number less than 100 000 by a two-digit numbers. highest dividend of i Divide four-digit numbers by 100 00 a) one-digit numbers b) 10, 100 and 1 000 c) two-digit numbers ii Divide five-digit numbers by a) one-digit numbers b) 10, 100 and 1 000 c) two-digit numbers iii Solve division problems.
  • 3. 6. Mixed operations Perform mixed operation involving addition and subtraction i Perform mixed operation involving addition and subtraction with numbers less than a) 100 b) 1 000 c) 10 000 ii Solve mixed operation problems 2 FRACTIONS 1. Proper Fractions Name and write proper fractions with denominators up to 10. i Name and write proper fractions eith denominators up to 10 ii Compare the value of two proper fractions with a) the same denominators b) the numerator of 1 and different denominators up to 10. 2. Equivalent fractions Express equivalent fractions for proper fractions. i Express and write equivalent fractions for proper fractions. ii Express equivalent fractions to its simplest form 3. Addition of fractions Add two proper fractions with denominators up to 10 i Add two proper fractions with the same denominator up to 10 to its simplest form. a) with 1 as the numerator for both fractions b) with different numerators ii Add two proper fractions with different denominators up to 10 to its simplest form. a) with 1 as the numerator for both fractions b) with different numerators iii Solve problems involving addition of proper fractions. 4. Subtraction of Subtract proper fractions with denominators up to 10 fractions i Subtract two proper fractions with the same denominator up to 10 to its simplest form. a) with 1 as the numerator for both fractions b) with different numerators ii Subtract two proper fractions with different denominators up to 10 to its simplest form. a) with 1 as the numerator for both fractions b) with different numerators iii Solve problems involving subtraction of proper fractions.
  • 4. 3 DECIMALS 1. Decimal numbers Understand decimal numbers i Name and write decimals with a) one decimal 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 2. Addition of decimal Add decimals up to two places numbers i Add any two to four decimals of one decimal place involving a) decimals only b) whole numbers and decimals c) mixed decimals ii Add any two to four decimals of two decimal place involving a) decimals only b) whole numbers and decimals c) mixed decimals iii Solve problems involving addition of decimal numbers. 3. Subtraction of decimal Subtract decimals up to two decimals places numbers i Subtract one to two decimals from decimal of one decimal place involving a) decimals only b) mixed decimals c) whole numbers and decimals ( mixed decimals ) ii Subtract one to two decimals of one or two decimal places iii Solve problems involving subtraction of decimals 4. Multiplication of Multiply decimals up to two decimal places with a whole number. decimal numbers i Multiply any decimals of one decimal place with a) one-digit number b) 10, 100 and 1000 ii Multiply any decimals of two decimal places with a) one-digit number b) 10, 100 and 1000 iii Solve problems involving multiplication of decimals
  • 5. 5. Division of decimal Divide decimals up to two decimal places by a whole number. numbers i Divide any decimals of one decimal place with a) one-digit number b) 10 ii Divide decimals of two decimal places by one-digit number iii Divide decimals by a whole number with the dividend value of up to two decimal places iii Solve problems involving division of decimals 4 MONEY 1. Money up to Understand and use vocabulary related to money RM10 000 i Read and write the value of money up to RM10 000 ii Add money up to RM10 000 iii Subtract money from up to RM10 000 iv Multiply money to the highest product of RM10 000 v Divide money with divident not more than RM10 000 vi Perform mixed operation involving addition and subtraction involving money up to RM10 000 vii Round off money to the nearest “ringgit” viii Solve problems involving of up to RM10 000 5 TIME 1. Reading and writing Understand, read and write time in hours and minutes time i Read time in hours and minutes accoding to the 12-hours system. ii Write time in hours and minutes according to the 12-hours system 2. Time schedule Construct a simple schedule i Construct, read and extract information from a simple schedule ii Extract information from a calendar iii Solve simple real life problems involving reading the calendar 3. Relationship between Understand the relationship between units of time units of time i State the relationship between units of time a) 1 day = 24 hours b) 1 year = 365 / 366 days c) 1 decade = 10 years
  • 6. 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 day, 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 minutes, and vice versa 4. Basic operations Add, subtract, multiply and divide units of time involving time i Add time involving conversion of units with answers in compound units of : a) hours and minutes b) years and months c) decades and years ii Subtract time involving conversion of units with answers in compound units of : a) hours and minutes b) years and months c) decades and years iii Multiply time involving conversion of units with answers in compound units of : a) hours and minutes b) years and months c) decades and years iv Divide time involving conversion of units with answers in compound units for time duration of : a) hours and minutes b) years and months c) decades and years v Solve problems involving basic operations of time: a) hours and minutes b) years and months c) decades and years 5. Time duration Use and apply knowledge of time to find the duration i Read and state the start and end of an event from a schedule ii Calculate the duration of an event from a schedule in a) minutes b) hours c) hours and minutes within a day and two consecutive live days iii Calculate the start or the end of an event from a given duration of time and read the start or end of an event
  • 7. 6 LENGTH 1. Measuring length Measure lengths using standard units i Read measurement of length using units of milimetre ii Write measurement of length to the nearest scales of tenth division for : a) centimetre b) metre iii Measure and record lengths of objects using units of a) milimetre b) centimetre and milimetre c) metre and centimetre iv Estimate the lengths of objects in a) milimetre b) metre and milimetre c) centimetre and milimetre 2. Relationship between Understand the relationship between unit of length units of length i State the relationship between centimetre and milimetre ii Convert units of length from a) milimetre to centimetre and vice versa b) compound units to a single unit 3. Basic operation Add and subtract length involving length i Add units of length, involving conversion of units in: a) milimetre b) metre and milimetre c) centimetre and milimetre ii Subtract units of length involving conversion of units in: a) milimetre b) metre and milimetre c) centimetre and milimetre Multiply and divide length i Multiply units of length involving conversion of units by: a) a one-digit number b) 10, 100, 1000 ii Divide units of length, involving conversion of units by: a) a one-digit number b) 10, 100, 1000 iii Solve problems involving basic operation on length
  • 8. 7 MASS 1. Measuring Mass Measure mass using standard units i Measure of masses using units of kilogram and gram ii Read measurement of masses to the nearest scales division of kilograms and grams iii Estimate the masses of objects using kilograms and grams 2. Relationship between Understans the relationship between units of mass units of mass i Convert units of mass from a) kilograms to grams b) kilograms and grams to grams c) kilograms and grams to kilograms 3. Basic operations Add and subtract involving units of mass. involving mass i Add mass involving units of mass in: a) kilograms b) grams c) kilograms and grams ii Subtract mass involving unis of mass in: a) kilograms b) grams c) kilograms and grams Multiply and divide units of mass iii Multiply mass involving conversion of units with a) a one-digit number b) 10, 100, 1000 iv Divide mass involving conversion of units a) a one-digit number b) 10, 100, 1000 v Solve problems involving basic operations with mass 8 VOLUME OF LIQUID 1. Measuring volume of Measure and compare volume of liquid using standard units liquid i Read measurement of volume of liquid in litres and mililitres ii Write measurement of volume of liquid to the nearest scales of tenth division for a) litre b) mililitre iii Measure and record the volume of liquid in litres and mililitres iv Estimate the volume of liquid in litres and mililitres
  • 9. 2. Relationship between Understand the relationship between units of volume of liquid units of volume of i Convert units of volume from: liquid a) litres to mililitres b) mililitres to litres c) litres and mililitres to litres d) litres and mililitres to mililitres 3. Basic operation Add and subtract units of volume involving volume of i Add volume of liquid involving conversion of units in: liquid 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 Multiply and divide units of volume i Multiply volume of liquid involving conversion of units in: a) one-digit number b) 10, 100, 1000 ii Divide volume of liquid involving conversion of units by: a) one-digit number b) 10, 100, 1000 iii Solve problems involving volume of liquids 9 SHAPE AND SPACE 1. Two-Dimensional Understand the perimeter of a two-dimensional shape shapes i Identify the sides of a a) square b) rectangle c) triangle ii Measure and resord the perimeter of a a) square b) rectangle c) triangle Understand the area of a two-dimensional shape i Identify the dimension of a a) square b) rectangle ii Compare with unit squares the size of a a) square b) rectangle iii Measure and record the dimensional of squares and rectangles
  • 10. Find the area and perimeter two-dimensional shapes i Calculate the area of squares and rectangles ii Solve problems involving perimeter and area of two- dimensional shape 2. Three-Dimensional Understand the volume for cubes and cuboids Shapes i Identify the dimensions of cubes and cuboids ii Compare with a unit cube a) Cuboid b) Cube iii Measure and record the dimension of cubes and cuboids Find the volume for cubes and cuboids i Calculate the volume of cubes and cuboids ii Solve problems involving of cubes and cuboids 10 DATA HANDLING 1. Pictograph Use a pictograph to read and display data i Describe a pictograph featuring a) the picture used to represent data, b) the title of the graph c) what the axes represent d) what one unit of picture represent ii Extract and interpret information from pictographs iii Construct pictographs to illustrate given information iv Solve a given problem by organising and interpreting numerical data in pictographs 2. Bar Graph Use bar graph to read and display data i Describe a bar graph featuring a) the title of the graph b) what the axes represent ii Extract and interpret information from bar graphs iii Construct bar graphs to illustrate given information iv Solve a given problem by organising and interpreting numerical data in bar graphs