SNC-Mathematics-Overview

The basic aims of mathematics curriculum from grade I-V are as follow:

 

      • Instill Mathematical skills for everyday use.
      • Strengthen basic mathematical skills to set the foundation for higher level mathematics.
      • Develop the ability to think in a logical manner to analyze diverse situations.
      • Develop a sense of appreciation and enjoy learning mathematics.
      • Develop a long lasting understanding of the concepts through Concrete, Pictorial and Abstract (CPA) approach by Jerome Bruner.
      • Engage in investigations and enquiries to develop skills in mathematical reasoning, processing information, making connections to real life situations and making judgments.

 

Benchmarks

The Standards for Mathematics are further sub-divided into the following Benchmarks for Grade Level-I-V:

 

Standards

Benchmarks  Grade-(I-III)

Benchmarks Grade-(IV-V)

NUMBERS AND OPERATIONS

  • Identify numbers,

ways of representing numbers, comparing numbers and effects of operations in various situations.

  • compute fluently with fractions, decimals and percentages.
  • examine real life situations by

identifying

mathematically valid arguments and

drawing conclusion to enhance

mathematical thinking.

The students will be able to:

 

  • identify, read and write whole numbers up to

10,000

  • read and write Roman numbers up to 20
  • identify and

differentiate even and odd numbers up to 99

  • arrange,  compare

numbers up to 3-digits using symbols (<,>or =)

  • identify and recognise place values up to

5-digit numbers

  • represent and identify the given number on number line
  • round off a number to the nearest 10 and 100
  • add, subtract numbers up to 4-digits
  • develop multiplication tables up to 10
  • multiply number up to 2-digits with 1-digit

number

  • recognise and use of

division symbol, divide up to 2-digit numbers by 1-digit number

  • solve real life situations involving addition,

subtraction,

multiplication and division

  • round off a number to the nearest 10 and 100
  • recognise fractions and different forms of

fractions with the help of objects and figures

The students will be able to:

 

  • read and write whole numbers up to

1,000,000 (1-million) in numerals and words

  • add and subtract

numbers of different complexity and of

arbitrary size

  • multiply and divide

numbers, up to 6-digits, by 2- or 3-digit

numbers and by 10,100 and 1000

  • solve real life situations involving operations of addition, subtraction, multiplication and

division

  • recognise and

differentiate between

factors and multiples of two or three 2-digit

numbers

  • find highest common factor (HCF) and least

common multiple (LCM) of two, three or four

numbers, up to 2-digits

  • solve real life situations involving HCF and LCM
  • recognise and compare like and unlike fractions
  • arrange, convert and simplify fractions
  • add, subtract, multiply and divide fractions
  • solve real life situations involving addition,

subtraction,

multiplication and division of fractions

 

Standards

Benchmarks  Grade-(I-III)

Benchmarks Grade-(IV-V)

 

  • express and match

fractions in figures and compare fractions with same denominators

using symbols <, > or =

  • identify and write

equivalent fractions for a given fraction

  • add and subtract two fractions with same denominators
  • apply unitary method for solving real life

situations

  • identify and recognize decimal numbers
  • convert decimal

numbers into fractions and vice versa

  • add and subtract numbers up to 3 decimal places
  • multiply and divide

decimal numbers with whole numbers

  • round off decimal numbers up to

specified number of decimal places

  • solve real life situations involving decimal

numbers (up to 3- decimal places)

  • convert percentage to fraction and to decimal and vice versa

ALGEBRA

 

  • analyze number patterns;
  • known facts,

properties and relationships to

analyze mathematical situations,

  • examine real life situations by

identifying

mathematically valid arguments and

drawing conclusion to enhance

mathematical thinking

  • develop the concept of equality using addition and subtraction of

numbers

  • identify and complete geometrical patterns on square grid

according to attributes like shape, size and

orientation.

  • develop the concept of equality using addition, subtraction,

multiplication and

division of numbers.

  • identify and describe

repeating pattern using relationship between

consecutive terms and generate number

patterns

 

 

Standards

Benchmarks  Grade-(I-III)

Benchmarks Grade-(IV-V)

GEOMETRY AND MEASUREMENT

  • identify measurable attributes of objects, construct angles and two-dimensional

figures;

  • analyze

characteristics and properties of

geometric shapes and develop arguments

about their geometric relationships

  • examine real life situations by

identifying,

mathematically valid arguments and

drawing conclusion to enhance

mathematical thinking

  • use language to

compare heights/

lengths, masses and capacity of different objects

  • read, recognize and use units of length

(kilometer, meter and centimeter), mass

(kilogram and gram)

and capacity (liter and milliliter) and time

(minute and second).

  • add and subtract in

units of length, mass, capacity and time for solving real life

situations

  • use solar and Islamic calendar to find a

particular dates/ day.

  • recognize and identify two- and

three-dimensional figures

  • determine perimeter of square, rectangle and

triangle

  • identify and

differentiate straight line and curved line.

  • identify and draw points, lines, line

segments, and rays.

  • identify and describe symmetrical shapes
  • convert standard units of length, mass,

capacity and time

  • solve the real-life

situations involving addition and

subtraction of units of distance/ length, mass, capacity and time

  • distinguish parallel and non-parallel lines.
  • identify, classify and construct different

types of angles

  • describe and classify 2-D figures and 3-D geometrical objects
  • determine perimeter

and area of square and rectangle

  • describe and complete symmetric figures with respect to given line of symmetry and point of rotation.

 

Standards

Benchmarks  Grade-(I-III)

Benchmarks Grade-(IV-V)

DATA HANDLING

 

  • collect, organize,

analyze, display and interpret data/

information

  • examine real life situations by

identifying

mathematically valid arguments and

drawing conclusion to enhance

mathematical thinking

  • read, interpret and represent data using

Carroll diagram, picture graph and tally charts

  • read and interpret bar graphs, line graphs and pie charts
  • represent real life

situations using pie chart

  • find an average of given quantities in the data
  • draw and read simple bar graphs both in

horizontal and vertical form

  • solve real life situations using simple bar graphs

 

Progression Grid

Concept of Whole Numbers

Grade I

Grade II

Grade III

Grade IV

Grade V

  • identify numbers 1–9
  • identify 0 as a number
  • read and write numbers up to 9 in numerals and in words
  • count objects up to 9 and represent in numbers
  • match the numbers 0–9 with objects
  • count backward from 9
  • identify 10 as a 2-digit  number
  • read and write numbers up to 99
  • count forward and backward up to 99
  • count in tens and recognise 100 as a three-digit number
  • identify and write missing  numbers in a sequence from 1 to 100
  • count and  write the number of objects in a given set.
  • identify  the position of objects using ordinal numbers such as first,  second… tenth, including representations 1st, 2nd… 10th through pictures
  • write ordinal numbers from first to twentieth
  • write numbers 1–100 in words
  • read numbers up to 999
  • write numbers up to 999 as numerals
  • read Roman numbers up to 20
  • write Roman numbers up to 20
  • recognise even and odd numbers  up to 99 within a given sequence
  • differentiate even and odd numbers within a given sequence
  • read  and write given numbers  up to 10,000 (ten thousand) in numerals and words.
  • read numbers up to 100,000 (one hundred thousand).
  • write numbers up to 100,000 (one hundred thousand)
  • write numbers in words up to 100,000 (one hundred thousand
  • recognize prime and composite numbers up to 100
  • read numbers up to 1,000,000 (one million) in numerals and words
  • write numbers up to 1,000,000 (one million) in numerals and words

 

Compare and Order Numbers

Grade I

Grade II

Grade III

Grade IV

Grade V

  • arrange numbers in ascending and descending order up to 9
  • identify which number

(up to 9) comes

    • before/after a given number,
    • between two given numbers
  • compare and order the numbers 0-10.
  • compare one- and two-digit numbers
  • order numbers from 0 to 99 in ascending and descending order
  • identify which number

(up to 99) comes

    • before/after a given number.
    • between two given numbers
  • identify and write missing numbers in a sequence from 1 to 100
  • compare two or more groups of objects in terms of numbers
  • match objects having one to one correspondence
  • identify the number of objects in two groups to show ‘more than’ or ‘less than’
  • compare 2 - digit

numbers   with 3 - digit numbers (hundreds, tens and ones)

  • compare 3 - digit

numbers   with 3 - digit numbers (hundreds, tens and ones)

  • count backward ten steps down from any given number
  • arrange numbers up to 999, written in mixed form and in ascending or descending order
  • count and write in 10s (e.g.10,20, 30,...)
  • count and write in 100s (e.g.100,200, 300,...)
  • identify the smallest/large st number in a given set of numbers
  • compare two numbers up  to 3 - digit numbers using symbols  “<”, “>”, or “=”
  • write the given set   of numbers in ascending and descending order (up to

3 - digit numbers)

  • compare and order numbers up to 6 - digit

 

 

Place Value of Numbers

Grade I

Grade II

Grade III

Grade IV

Grade V

  • recognise the place values of a 2 - digit number (tens and ones)
  • Identify the place value of the speci?c digit in 2 - digit numbers
  • decompose a number  up  to 99 to  identify the value of a number in ten’s and one’s place
  • recognise that 1,000 is one more than 999 and the first

4 - digit number

  • recognise the place value of a 3 - digit numbers
  • identify the place value of a specific digit in a 3 - digit numbers
  • identify the place values up to 5 - digit numbers
  • represent a given number on number line up to

2 - digit numbers

  • identify the value of a number on number line up to 2 - digit numbers
  • identify place values up to 6 - digit numbers

 

 

Addition of Numbers

Grade I

Grade II

Grade III

Grade IV

Grade V

  • compare numbers from 1 to 20 to identify ‘how much more’ one is than the other number.
  • recognise and use symbols of addition   ‘+’ and equality ‘=’
  • add two, 1 - digit

numbers (sum up to 9)

  • add a 2 - digit numbers with 1 - digit number
  • add a 2 - digit number to 10s
  • add two, 2 - digit numbers
  • recognise the use of symbol to represent an unknown

such as ?+ 4=7

(include

questions that sum up to 20)

  • add numbers (up to 20) using mental calculations
  • add 1-digit numbers with 1 - digit numbers
  • add 1-digit numbers with 2 - digit numbers with carrying
  • add 2 - digit numbers with 2 - digit numbers with carrying
  • solve real life number stories involving addition of

2 - digit numbers with carrying

  • add numbers up to 50 using mental calculations
  • add 3 - digit numbers with 1 - digit numbers without carrying
  • add numbers up to 4 - digit with and without carrying
  • add numbers up to 100 using mental calculation strategies
  • solve real life number stories involving addition
  • add numbers up to 5 - digit numbers
  • solve real life number stories involving addition up to to 5 - digit numbers
  • add numbers up to 6 - digit numbers
  • solve real life situations involving addition up to 6 - digit numbers

 

 

 

Addition of Numbers

Grade I

Grade II

Grade III

Grade IV

Grade V

  • construct addition equations from given pictures or number stories.
  • identify Pakistani currency coins (Rs 1, 2, 5 and 10)
  • identify Pakistani currency notes (Rs 10, 20, 50 and 100)
  • match a group of coins/notes to an equivalent group of different denominations
  • add and subtract money using the prices of objects (transactions for example toys)
  • recognize money change (up to Rs100) to its equivalent’s denominations
  • determine if enough money is available to make a purchase up to Rs100
  • add different combinations of coins/notes (to make sum up to Rs100)
  • add 3-digit numbers with 2-digit numbers without carrying
  • add 3-digit numbers with 3-digit numbers without carrying
  • solve real life number stories involving addition of

3-digit numbers without carrying

  • add 3-digit numbers with1-digit numbers with carrying of tens and hundreds
  • add 3-digit numbers with 2-digit numbers with carrying of tens and hundreds
  • add 3-digit numbers with 3-digit numbers with carrying of tens and hundreds
  • solve real life number stories involving addition of

3-digit numbers with carrying of tens and hundreds

 

 

 

 

Subtraction of Numbers

Grade I

Grade II

Grade III

Grade IV

Grade V

  • compare numbers  from 1- 20 and find ‘how many one is less than the other?
  • recognise subtraction  as a  difference and take away, (use  the symbol ‘-’)
  • subtract 1 - digit

numbers  from 1 - digit numbers (which results in positive)

  • subtract 1 - digit

numbers from 2 - digit numbers

  • subtract tens from 2 - digit numbers
  • subtract 2 - digit

numbers  from 2 - digit numbers (which results in positive)

  • recognise the use of symbols to   represent an unknown such as 9-?=7
  • subtract numbers (up to 20) using mental calculations
  • construct subtraction sentences from given pictures or number stories
  • subtract 1 - digit

numbers from 2 - digit numbers with borrowing

  • subtract 2 - digit

numbers from 2 - digit numbers with borrowing

  • subtract numbers up to 50  using mental calculations
  • solve real life number stories of subtraction with borrowing
  • subtract 1 - digit

numbers from 3 - digit numbers without borrowing

  • subtract 2 - digit

numbers from 3 - digit number without borrowing

  • subtract 3 - digit

numbers from 3 - digit numbers without borrowing

  • solve real life number stories of subtraction without borrowing
  • subtract 1 - digit

numbers from 3 - digit numbers with borrowing

  • subtract 2 - digit

numbers from 3 - digit numbers with borrowing

  • subtract up to 4 - digit numbers with and without borrowing
  • subtract numbers up to 100 using mental calculations
  • solve real life number stories involving subtraction
  • subtract up to 5 - digit numbers with and without borrowing
  • solve real life situations involving subtraction of up to 5 - digit numbers
  • subtract up to 6 - digit numbers
  • solve real life situations involving subtraction of up to 6 - digit numbers

 

 

 

Subtraction of Numbers

Grade I

Grade II

Grade III

Grade IV

Grade V

 

  • subtract 3 - digit

numbers from 3 - digit numbers with borrowing

  • solve real life number stories of subtraction up to 3 - digit numbers with borrowing
  • analyze simple real-life situations identifying correct operation of addition and subtraction with carrying/borro wing in mixed form.

 

 

 

 

Multiplication  of  Numbers

Grade I

Grade II

Grade III

Grade IV

Grade V

 

  • recognise multiplication as repeated addition (for example 2+2+2=6 is equivalent to 3 times 2 which is 3 x 2 = 6) and use multiplication symbol “×”
  • complete number sequences in steps of 2,3,4,5 and 10 (for example in ?eps of 2 the sequence is expressed as 2,4, 6…)
  • develop multiplication tables for 6, 7, 8, and 9
  • multiply 2 - digit

numbers by 1 - digit numbers

  • multiply a number by 0 and 1
  • apply mental mathematical strategies to multiply

1 - digit numbers to 1 - digit numbers

  • solve real life situations involving multiplication of 2 - digit numbers by

1 - digit numbers

  • multiply  up  to 4 - digit numbers by up to 2 - digit numbers
  • solve real life situations involving multiplication of up to

4 - digit numbers by up to 2 - digit numbers

  • multiply up to 5 - digit numbers by 10, 100, and 1000
  • multiply up to 5 - digit number, by a number up to 3 - digit
  • solve real life situations involving multiplication of up to

5 - digit numbers, by a up to 3 - digit numbers

 

Multiplication  of  Numbers

Grade I

Grade II

Grade III

Grade IV

Grade V

 

  • develop multiplication tables of 2,3,4, 5 and 10 till the multiplication of 10x10
  • multiply numbers within multiplication table
  • write number sentence for multiplication from the pictures such as

[] ?=6

  • solve number stories on multiplication up to 1-digit

 

 

 

 

 

Division of Numbers

Grade I

Grade II

Grade III

Grade IV

Grade V

 

  • recognize and use division symbol “÷”
  • recognize division as successive subtraction
  • divide numbers within the multiplication tables with remainder zero
  • solve number stories involving division up to 1 - digit numbers
  • solve real life situations (using Pakistani currency as well) involving addition, subtraction, multiplication, and division.
  • give reasons for choosing the correct operation
  • divide 2 - digit numbers by a 1 - digit numbers (with

zero  remainder)

  • apply mental mathematical strategies to divide

1 - digit number by a 1 - digit number

  • solve real life situations involving division of

2 - digit numbers by a 1 - digit numbers

  • divide numbers up to 4 - digit by numbers up to 2 - digit
  • solve real life situations involving division of numbers up to 4 - digit by numbers up to 2 - digit
  • solve real life situations using appropriate operations of addition, subtraction, multiplication and division of numbers up  to 2 - digit
  • identify divisibility rules for 2, 3, 5, and 10
  • use divisibility tests for 2, 3, 5 and 10 on numbers up to 5 - digit
  • divide up to 5 - digit numbers by 10,100 and 1,000
  • divide, up to 5 - digit

numbers by up to 2 - digit numbers

  • solve real life situations involving division of numbers, up to 5 - digit by a number  up  to 2 - digit
  • find HCF of two or three numbers, up to 2 - digits, using prime factorization method and division method

 

 

 

Division of Numbers

Grade I

Grade II

Grade III

Grade IV

Grade V

 

 

 

  • identify and differentiate

2 - digit prime and composite numbers

  • find factors of a number up to 50
  • list the first ten multiples  of  a 1 -  digit number
  • differentiate between factors and multiples
  • factorize a number by using prime factors
  • determine common factors of two or more

2 - digit numbers

  • determine common multiples of two or more 2 - digit numbers
  • find LCM of two or three numbers, up to 2 - digit, using prime factorization method and division method
  • solve real life situations involving HCF and LCM

 

Fractions

Grade I

Grade II

Grade III

Grade IV

Grade V

 

  • recognize fraction  as equal parts of a whole
  • identify half, one-third and quarter   with the help of objects and figures (without writing 1/2, 1/3, 1/4)
  • represent half (1/2), one third (1/3) and quarter (1/4) in numerical form
  • shade  the equal parts of a given figure to match a given fraction
  • recognize and name unit fractions up to 1/10
  • recognize fractions like two thirds (2/3), three fourth (3/4), four fifth (4/5), and so on up to nine tenths (9/10).
  • express the fractions in figures and vice versa
  • match the fractions with related figures
  • recognize proper and improper fractions
  • differentiate between proper and improper fractions
  • identify equivalent fractions from the given figures
  • write three equivalent fractions for a given figure
  • write three equivalent fractions for a given fraction
  • compare fractions with same denominators using symbols “<”, “>” or “= “
  • add two fractions with same denominators
  • represent addition of fractions through figures
  • subtract fractions with same denominators
  • represent subtraction of fractions through figures
  • recognize like and unlike fractions
  • compare two unlike fractions by converting them to equivalent fractions with the same denominator
  • simplify fractions to the lowest form.
  • identify unit, proper, improper fractions and mixed numbers
  • convert improper fractions to mixed numbers and vice versa
  • arrange fractions in ascending and descending order
  • add fractions with like denominators
  • subtract fractions with like denominators
  • multiply fractions by whole numbers
  • multiply two or more fractions (proper, improper, and mixed numbers)
  • divide a fraction by a whole number
  • analyze real life situations involving fractions by identifying appropriate operations
  • add and subtract two or more fractions with different denominators
  • multiply a fraction by a 1 - digit numbers and demonstrate

with the help of diagrams

  • multiple two or more fractions involving proper, improper fractions and mixed numbers
  • solve real life situations involving multiplication of fractions
  • divide a fraction by a whole number
  • divide a fraction by another fraction involving proper, improper fractions, and mixed numbers
  • solve real life situations involving division of fractions
  • recognize percentage as a special kind of fraction.
  • convert percentage to fraction and to decimal number vice versa only for numbers without decimal part i.e. 35 %, 75% etc.
  • solve real life situations involving percentage

 

 

 

Decimal Numbers

Grade I

Grade II

Grade III

Grade IV

Grade V

 

 

 

  • recognize a decimal number as an alternate way of writing a fraction
  • express decimal number as a fraction whose denominator is 10 or 100 or 1000
  • identify and recognize the place value of a digit   in decimals numbers  up  to 3  decimal places
  • convert a given fraction to a decimal number when denominator of the fraction is 10, 100 or 1000
  • convert a given fraction to a decimal number when denominator of the fraction is not 10, 100 or 1000 but can be converted  to 10, 100 or 1000
  • convert decimals numbers (up to three decimal places) to fraction.
  • add and subtract 3 - digit

numbers (up to 2 decimal places).

  • multiply a 2 - digit

numbers (up to 1 decimal

place) by 10,

100, and 1000.

  • compare numbers up to 3 - digit with two decimal places
  • arrange numbers up  to 3 - digit numbers with two decimal places in ascending and descending order
  • add and subtract 4 - digit

numbers up  to 3 - decimals places

  • multiply a 3 - digit numbers up to two decimal places by 10, 100, and 1000
  • multiply a

3 - digtnumbers up to two decimal places by a whole number up to

2 - digit

  • multiply a

3 - digit number up to two decimal places by a 3 - digit numbers up to two decimal places

  • divide a 3 - digit numbers up to two decimal places by 10, 100, and 1000
  • divide a 3 - digit numbers up to two decimal places by a whole number up to 2 - digit
  • divide a 3 - digit numbers up to two decimal places by a

2 - digit number up to one decimal place

 

Decimal Numbers

Grade I

Grade II

Grade III

Grade IV

Grade V

 

 

 

  • multiply a 2 - digit

numbers with one decimal place by a

1 - digit number

  • divide a 2 - digit numbers with one decimal place by a

1 - digit number

  • solve real life situations involving

2 - digit numbers with one decimal place using appropriate operation

  • convert fractions to decimals numbers using division.
  • solve real life situations involving division of

3-digit numbers up to two decimal places

 

Estimation

Grade I

Grade II

Grade III

Grade IV

Grade V

 

 

  • round off a whole number to the nearest 10 and 100
  • round off a whole number to the nearest 10, 100 and 1000
  • round off decimal numbers (with one or two decimal places) to the nearest whole number
  • round off a 4 - digit

numbers up to three decimal places to the nearest tenth or hundredth

  • estimate sum or difference of the numbers up to

4 - digit

 

 

 

GEOMETRY AND MEASUREMENTS

 

Measurement of Length

Grade I

Grade II

Grade III

Grade IV

Grade V

  • compare the heights/lengths of two or more objects using following terms:
    • long, longer, longest
    • short,

shorter, shortest,

    • tall, taller, tallest
    • high, higher, highest
  • compare the length of different objects
  • recognise the units of length (meter and centimeter)
  • use standard metric units of length (meter and centimeter) and their abbreviations to measure and record lengths of verity of objects
  • use addition and subtraction within 100 to solve real life situations involving lengths in same units
  • use standard metric units of length (kilometer, meter, and centimeter) including abbreviations.
  • add measures of length in same units with and without carrying
  • solve real life situations involving same units of length for addition without carrying
  • subtract measures of length in same units without borrowing
  • solve real life situations involving same units of length for subtraction without borrowing
  • use standard metric units to measure the length of different objects
  • convert larger to smaller metric units (2-digit numbers with one decimal place)

kilometers into meters, meters into centimeters, centimeters into millimeters

  • add and subtract measures of length in same units
  • solve real life situations involving conversion, addition and subtraction of units of length
  • convert measures given in kilometers to meters and vice versa,  meters to centimeters and vice versa, centimeters to millimeters and vice versa.
  • solve real life situations involving conversion, addition and subtraction of units of distance

 

Measurement of Mass

Grade I

Grade II

Grade III

Grade IV

Grade V

  • compare the masses of two or more objects using  the terms:
    • Heavy,

heavier, heaviest.

    • Light,

lighter, lightest.

  • compare the mass of different objects
  • recognise the units of mass, (kilogram and gram)
  • use standard metric units of mass (kilogram, gram) and their abbreviations to measure and record mass of verity of objects
  • use standard metric units of mass (kilogram and gram) including abbreviations
  • add  measures of mass in same units without carrying
  • solve real life situations involving same units of mass for addition without carrying
  • use standard metric units to measure the mass of different objects
  • convert larger to smaller metric units (2-digit numbers with one decimal place) kilograms into grams, grams

into milligrams

 

 

Measurement of Mass

Grade I

Grade II

Grade III

Grade IV

Grade V

 

  • use addition and subtraction within 100 to solve real life situations involving mass in same units
  • subtract measures of mass in same units without borrowing
  • solve real life situations involving same units of mass for subtraction without borrowing
  • add and subtract measures of mass in same units
  • solve real life situations involving conversion, addition and subtraction of units of mass

 

 

Measurement of Capacity

Grade I

Grade II

Grade III

Grade IV

Grade V

 

  • compare capacity of different objects using non-standard units (jug, glass, cup, etc.)
  • recognise and use the standard metric units of capacity, (liter and milliliters)
  • use addition and subtraction within 100 to solve real life situations involving capacity in same units
  • use standard metric units of capacity (liter and milliliter) including abbreviations
  • add measures of capacity in same units without carrying
  • solve real life situations involving same units of capacity for addition without carrying
  • subtract measures of capacity in same units with and without borrowing
  • solve real life situations involving same units of capacity for subtraction without borrowing
  • use standard metric units to measure the capacity of different containers
  • convert larger to smaller metric units (2-digit numbers with one decimal place) liters in to milliliters
  • add and subtract measures of capacity in same units
  • solve real life situations involving conversion, addition and subtraction of units of capacity

 

 

Time

Grade I

Grade II

Grade III

Grade IV

Grade V

  • recognise the hour and minute hands of an analog clock
  • read and tell time in hours from   the analog clock for example

2 o’clock

  • read and tell time in hours from the digital clock
  • name and order days of the week
  • identify which day comes after/before a particular day
  • name (orally) the solar months of the year
  • name (orally) the Islamic months of the year
  • recognise the number  of hours in a day and numbers of minutes in an hour
  • read and write the time from a clock in hours and minutes (with

five-minute intervals) e.g. read 8:15 as eight fifteen and 8:50 as eight fifty

  • recognise a.m. and p.m.
  • draw  hands  of a clock to show time in hours and minutes (with five minutes intervals)
  • use Solar calendar to find a particular date/ day
  • use Islamic calendar to find a particular date/ day
  • use a.m. and

p.m. to record the time from 12-hour clock

  • read and write time from analog and digital clocks
  • read and write days and dates from the calendar
  • add units of time in hours
  • solve real life situations involving units of time for addition of hours
  • subtract   units of time in hours
  • solve real life situations involving subtraction of units of time in hours
  • read and write the time using digital and analogue clocks on   12-hours and 24-hours format
  • convert hours to minutes and minutes to seconds
  • convert years to months, months to days, and weeks to days
  • add and subtract  units of time without carrying and borrowing
  • solve simple real-life situations involving conversion, addition and subtraction of units of time
  • convert hours to minutes and vice versa, minutes to seconds and vice versa
  • convert   years to months and vice versa, months to days and vice versa, weeks to days and vice versa
  • add and subtract interval of time in hours and minutes with carrying and borrowing
  • solve real life situations involving conversion, addition and subtraction of intervals of time

 

 

Perimeter and Area

Grade I

Grade II

Grade III

Grade IV

Grade V

 

 

  • calculate perimeter of square, rectangle, and triangle
  • find perimeter of a simple figure on square grid
  • recognise that perimeter is measured in units of length
  • find area of a simple figure on square grid
  • recognise that area  of  a square is measured in m2 and cm2
  • differentiate between perimeter and area of a square and rectangular region
  • differentiate between perimeter and area of a region
  • identify the units for measurement of perimeter and area
  • find and apply formulas for perimeter and area of a square and rectangular region
  • solve real life situations involving perimeter and area of square and rectangular region

 

 

Geometry

Grade I

Grade II

Grade III

Grade IV

Grade V

  • recognise and identify shapes of similar objects in daily life
  • identify the following basic shapes
    • rectangle
    • square
    • circle
    • triangle
  • match similar basic shapes in daily life
  • distinguish basic shapes by considering their attributes (sides)
  • classify 2-D shapes according to the number of sides and corners
  • identify whether an object is placed
    • inside or outside
    • above or below
    • over or under
    • far or near
    • before or after of a given picture
  • identify the figures like square, rectangle, triangle, circle, semi-circle, and quarter-circle
  • identify vertices and sides of a triangle, rectangle and square
  • differentiate between a straight line and a curve
  • identify straight lines  and curves from the given drawings
  • recognise point, line, ray and line segment
  • classify figures according to number of sides as quadrilaterals (rectangles, squares) and triangles
  • identify circle, its center, radius and diameter
  • recognise and identify horizontal and vertical, parallel and

non-parallel lines

  • recognize an angle formed by intersection of rays and measure it in degrees
  • recognize right angle
  • identify center, radius, diameter and circumference of a circle
  • identify different types of angle (acute, right, obtuse)
  • recognise straight and reflex angle
  • describe adjacent, complementary, and supplementary angles
  • identify and describe triangles with respect to their sides (equilateral, isosceles, and scalene triangles)
  • identify and describe triangles with respect to their angles (acute angled, obtuse angled, and right angles triangle)
  • recognise the kinds of quadrilateral (square, rectangle, parallelogram, rhombus, trapezium, and kite)

 

3-D SHAPES

Grade I

Grade II

Grade III

Grade IV

Grade V

 

  • recognise and name 3-D objects (cubes, cuboids, cylinder, cone, sphere, pyramids)
  • describe and differentiate 3-D objects (cubes, cuboids,

pyramids) with respect to the number of edges and faces

  • compare and sort 3-D objects (cubes, cuboids, pyramids, cylinder, cone, sphere)
  • describe and make 3-D shapes (cubes, cuboids, cylinder, cone, sphere, pyramids) and their nets.

 

Practical Geometry

Grade I

Grade II

Grade III

Grade IV

Grade V

 

  • use ruler to draw a straight line of given length (exclude fractional length)
  • draw and measure lines to the nearest centimeters and millimeters
  • measure and draw an angle and recognise the symbol (  ) to represent it
  • recognise and draw acute and obtuse angles with reference to a right angle
  • use protractor and ruler to construct
  • a right angle
  • a straight angle
  • reflex angles of different measures
  • use protractor and ruler to construct a triangle when two angles and their included side is given.
  • two sides and included angle is given.
  • use protractor and ruler to construct a square and rectangle when lengths of sides are given.

 

Symmetry

Grade I

Grade II

Grade III

Grade IV

Grade V

 

 

  • identify reflective symmetry in simple two- dimensional (2-D) shapes
  • identify and draw lines of symmetry
  • recognise lines of symmetry in two-dimension al (2-D) shapes
  • complete a symmetric figure with respect to a given line of symmetry on square grid/dot pattern
  • recognise different types of symmetry (reflective and rotational).
  • identify lines of symmetry for given shapes
  • find point of rotation and order of rotational symmetry of given shapes

 

ALGEBRA

 

Patterns

Grade I

Grade II

Grade III

Grade IV

Grade V

  • identify the next shape in the patterns with 2 or 3 elements
  • extend a given pattern of 2 or 3 elements
  • make/ complete geometrical patterns on square grid according to one or two of the following attributes
  • shape
  • size
  • orientation

 

  • recognise a given increasing and decreasing pattern by stating a pattern rule.
  • describe the pattern   found in a given table or chart
  • complete the given increasing & decreasing number sequence
  • identify and apply a pattern rule to determine missing elements for a given pattern
  • identify the pattern rule  of a given increasing and decreasing pattern and extend the pattern for the next three terms
  • describe the pattern   found in a given table or chart

 

DATA HANDLING

 

Data Handling

Grade I

Grade II

Grade III

Grade IV

Grade V

 

 

  • representation of data by Carroll diagram and tally charts
  • read and interpret a Carroll diagram and tally charts
  • read and interpret a picture graph
  • read simple bar graphs given in horizontal and vertical forms
  • interpret real life situations using data presented in bar graphs
  • read line graph.
  • interpret real life situations using data presented in line graphs.
  • read pie chart
  • interpret real life situations using data presented in pie chart
  • find and describe average of given quantities in the data
  • solve real life situations involving average
  • organize the given  data using bar graph
  • read and interpret a bar graph given in horizontal and vertical form
  • solve real life situations using data presented in bar graph