# Skills List Grade 5

## Do you want to know what skills your student will develop to mastery?

Read our detailed skills list below to discover what your student will learn and practice in 5th Grade with ISM.

**Whole Numbers**

Number representation in words from numerals upto 1 billion

Number representation in numerals from words upto 1 billion

Write expanded form of numbers upto 11 digits

Write 11 digit number in standard form given its expanded form

Value of each digit in a 11 digit number

Value of named digit in different positions of two 11 digit numbers

Identify digit in a specific place value

How many ones/ tens/ hundreds/ thousands, ten thousands, hundred thousands, millions, ten millions, hundred millions are there in a 11-digit number

Determine standard form of 11-digit number given its expanded form

Comparing two large numbers using <, > signs

Arranging large numbers in order (upto 11-digit)

Round given large number to nearest million

Find smallest/largest number given its value after rounding to nearest hundred million

Round given large number to nearest hundred million

Find smallest/largest number given its value after rounding to nearest ten million

Round given large number to nearest hundred thousand

Find smallest/largest number given its value after rounding to nearest million

Round given large number to nearest ten million

Find smallest/largest number given its value after rounding to nearest hundred thousand

Round given large number to nearest ten thousand

Find smallest/largest number given its value after rounding to nearest ten thousand

Round given large number to nearest thousand

Find smallest/largest number given its value after rounding to nearest thousand

Round given large number to nearest hundred

Find smallest/largest number given its value after rounding to nearest hundred

Vertical addition upto sum of 1 billion (without regrouping)

Vertical addition upto sum of 1 billion (with regrouping)

Estimate the sum of two numbers upto 7-digits

Vertical subtraction of two numbers upto 7 digit (without regrouping)

Vertical subtracting of two numbers upto 7 digit (with regrouping)

Estimate the subtraction of two numbers upto 7-digit

Multiply a 5 and 6-digit number by a single digit number using distribution property & expanded notation

Estimate multiplication of 5-digit ,6-digit numbers by 1 -digit number

Divide 5 and 6 digit number by 1-digit divisor with/without remainder

Estimate division of 5 and 6-digit number by 1-digit number

Divide 5 and 6 digit number by 10 with/without remainder

List all factors of a given number

Determine missing factors of a given number in a multiplication statement (also include unknown variable)

Determine common factors of two numbers

Determine highest/greatest common factor of two numbers

List a fixed number of multiples of a given whole number

Determine given number of common multiples of two numbers

Determine lowest common multiples of two numbers

Determine prime factors of a given composite number

Determine expanded form of a given exponent

Determine exponential form of a given repeated factors product

Determine the value of an exponent of 1-digit number

Determine prime factorisation in exponential form

Multiply a numbers by 10, 100, 1000

Divide a number by 10, 100, 1000

Number representation in numerals from words upto 1 billion

Write expanded form of numbers upto 11 digits

Write 11 digit number in standard form given its expanded form

Value of each digit in a 11 digit number

Value of named digit in different positions of two 11 digit numbers

Identify digit in a specific place value

How many ones/ tens/ hundreds/ thousands, ten thousands, hundred thousands, millions, ten millions, hundred millions are there in a 11-digit number

Determine standard form of 11-digit number given its expanded form

Comparing two large numbers using <, > signs

Arranging large numbers in order (upto 11-digit)

Round given large number to nearest million

Find smallest/largest number given its value after rounding to nearest hundred million

Round given large number to nearest hundred million

Find smallest/largest number given its value after rounding to nearest ten million

Round given large number to nearest hundred thousand

Find smallest/largest number given its value after rounding to nearest million

Round given large number to nearest ten million

Find smallest/largest number given its value after rounding to nearest hundred thousand

Round given large number to nearest ten thousand

Find smallest/largest number given its value after rounding to nearest ten thousand

Round given large number to nearest thousand

Find smallest/largest number given its value after rounding to nearest thousand

Round given large number to nearest hundred

Find smallest/largest number given its value after rounding to nearest hundred

Vertical addition upto sum of 1 billion (without regrouping)

Vertical addition upto sum of 1 billion (with regrouping)

Estimate the sum of two numbers upto 7-digits

Vertical subtraction of two numbers upto 7 digit (without regrouping)

Vertical subtracting of two numbers upto 7 digit (with regrouping)

Estimate the subtraction of two numbers upto 7-digit

Multiply a 5 and 6-digit number by a single digit number using distribution property & expanded notation

Estimate multiplication of 5-digit ,6-digit numbers by 1 -digit number

Divide 5 and 6 digit number by 1-digit divisor with/without remainder

Estimate division of 5 and 6-digit number by 1-digit number

Divide 5 and 6 digit number by 10 with/without remainder

List all factors of a given number

Determine missing factors of a given number in a multiplication statement (also include unknown variable)

Determine common factors of two numbers

Determine highest/greatest common factor of two numbers

List a fixed number of multiples of a given whole number

Determine given number of common multiples of two numbers

Determine lowest common multiples of two numbers

Determine prime factors of a given composite number

Determine expanded form of a given exponent

Determine exponential form of a given repeated factors product

Determine the value of an exponent of 1-digit number

Determine prime factorisation in exponential form

Multiply a numbers by 10, 100, 1000

Divide a number by 10, 100, 1000

**More Calculations on Whole Numbers**

Order of operations

Multiply a given number (upto 4 digits) by 2-digit number

Divide a given number (upto 4 digits) by 2-digit number

Multiply a given number (upto 4 digits) by 2-digit number

Divide a given number (upto 4 digits) by 2-digit number

**Perimeter and Area**

Determine area of irregular shapes using square units of 1cm

Determine area of triangle given base and height (cm, in, yd, m)

Determine area of triangle from given picture (include triangles only and triangles on grid)

Determine area of shaded part in a composite figure of rectangles & triangles

Determine area of paralellogram given its base and height

Determine area of pralellogram from given picture (include triangles only and triangles on grid)

Determine area of shaded part in a composite figure of rectangles, triangles and paralellogram

Determine area of triangle given base and height (cm, in, yd, m)

Determine area of triangle from given picture (include triangles only and triangles on grid)

Determine area of shaded part in a composite figure of rectangles & triangles

Determine area of paralellogram given its base and height

Determine area of pralellogram from given picture (include triangles only and triangles on grid)

Determine area of shaded part in a composite figure of rectangles, triangles and paralellogram

**More Calculations**

Multiply a 4-digit whole number by 2-digit whole number

Multiply a decimal number (upto hundreths) by 2-digit whole number

Divide a 4-digit whole number by a 2-digit whole number

Divide a decimal number (upto hundreths) by 2-digit whole number

Multiply decimal number by a decimal number ( both upto 2 decimal places)

Divide decimal number by tenths/hundreths/thousandths

Convert length from inches to feet and vice versa

Convert length from metres to centimeters and vice versa

Convert length from metres to kilometers and vice versa

Convert mass from grams to kilograms and vice versa

Convert mass from pounds to ounces and vice versa

Convert volume from liters to milliliters and vice versa

Convert volume from quarts to cups and vice versa

Convert volume from gallons to quarts and vice versa

Convert volume from pints to quarts and vice versa

Convert volume from pints to cups and vice versa

Convert hours to minutes and vice versa

Multiply a decimal number (upto hundreths) by 2-digit whole number

Divide a 4-digit whole number by a 2-digit whole number

Divide a decimal number (upto hundreths) by 2-digit whole number

Multiply decimal number by a decimal number ( both upto 2 decimal places)

Divide decimal number by tenths/hundreths/thousandths

Convert length from inches to feet and vice versa

Convert length from metres to centimeters and vice versa

Convert length from metres to kilometers and vice versa

Convert mass from grams to kilograms and vice versa

Convert mass from pounds to ounces and vice versa

Convert volume from liters to milliliters and vice versa

Convert volume from quarts to cups and vice versa

Convert volume from gallons to quarts and vice versa

Convert volume from pints to quarts and vice versa

Convert volume from pints to cups and vice versa

Convert hours to minutes and vice versa

**Angles, Triangles and Quadrilaterals**

Measure angles greater than 180 degrees using protractor

Telling direction from 8 point compass

Determine missing angles made at a point of intersecting lines

Determine missing angles made at a pont on a straight line

Determine unknown angles in a triangle

Determine exterior angles of a triangle

Determine unknown angles in a quadrilateral

Telling direction from 8 point compass

Determine missing angles made at a point of intersecting lines

Determine missing angles made at a pont on a straight line

Determine unknown angles in a triangle

Determine exterior angles of a triangle

Determine unknown angles in a quadrilateral

**Multiply and Divide Fractions**

Determine product of two fractions (proper/improper fractions)

Determine product of two mixed numbers

Determine division of fraction by whole number

Determine division of whole by fraction

Determine product of two mixed numbers

Determine division of fraction by whole number

Determine division of whole by fraction

**Average, Plots and Graphs**

Determine average of a set of numbers

Reading a line plot

Determine coordinates of a point on a coordinate graph

Match the given coordinates to correct point on coordinate graph

Complete a table from a line graph

Reading data from a line graph

Reading a line plot

Determine coordinates of a point on a coordinate graph

Match the given coordinates to correct point on coordinate graph

Complete a table from a line graph

Reading data from a line graph

**Rate**

Determine rate

**Fractions**

Determine division of whole numbers expressing answer as mixed number

Add unlike fractions (proper/improper/mixed number)

Subtract unlike fractions (proper/improper/mixed number)

Add mixed numbers

Subtract mixed numbers

Determine product of fraction with whole number

Add unlike fractions (proper/improper/mixed number)

Subtract unlike fractions (proper/improper/mixed number)

Add mixed numbers

Subtract mixed numbers

Determine product of fraction with whole number

**Ratios**

Write a ratio from given picture

Write a ratio from given model diagram

Write a continuous ratio from given picture

Converting two ratio into continuos ratio

Simplify a given ratio

Determine missing number in equivalent ratios

Write a ratio from given model diagram

Write a continuous ratio from given picture

Converting two ratio into continuos ratio

Simplify a given ratio

Determine missing number in equivalent ratios

**Volume**

Determine volume of rectangular prism and cube

Convert volume from litres to cubic centimeters and vice versa

Determine volume of composite prisms and cubes

Determine volume of liquid in a rectengular/square tank

Determine volume given base area and height

Determine missing dimension of cuboid given volume and other two dimensions

Determine of cube given its volume

Determine volume of an immersed solid object inside a tank of liquid

Convert volume from litres to cubic centimeters and vice versa

Determine volume of composite prisms and cubes

Determine volume of liquid in a rectengular/square tank

Determine volume given base area and height

Determine missing dimension of cuboid given volume and other two dimensions

Determine of cube given its volume

Determine volume of an immersed solid object inside a tank of liquid

**Percentage**

Determine percentage from a picture

Convert a fraction to percentage and vice versa

Convert a decimal to percentage and vice versa

Determine a percentage of a given quantity

Determine the whole quantity (100%) given a percentage of the quantity

Convert a fraction to percentage and vice versa

Convert a decimal to percentage and vice versa

Determine a percentage of a given quantity

Determine the whole quantity (100%) given a percentage of the quantity

**Decimals**

Write standard form of decimals from a given expanded form in words/numerals

Write expanded form of a given standard decimal as sum of tenths, hundreths and thousandths

Determine how many tenths, hundreths, thousandths are there in a standard decimal number

Determine value of specified digit in decimal number greater than 1

Add/Subtract tenths, hundreths, thousandths from a decimal number

Compare decimal numbers using <, >, =

Arrange decimal number in ascending /descending order

Express decimal number with whole and decimal parts as a simplified fraction

Express fraction as decimal number with whole and decimal part

Rounding off decimal number to nearest whole, 1, 2 decimal places

Add decimal numbers upto 3 decimal places

Subtract decimal numbers upto 3 decimal places

Making wholes by adding or subtracting

Estimate sum of two decimal numbers

Estimate difference of two decimal numbers

Multiply decimal number by 1 digit whole number

Estimate product of decimal number by 1-digit whole number

Divide a decimal by a 1-digit whole number without remainder

Estimate division of a decimal by 1-digit whole number

Divide a decimal number with whole number part by a 1-digit whole number correct to 1 decimal place

Divide a decimal number with whole number part by a 1-digit whole number correct to 2 decimal places

Divide a decimal number with whole number part by a 1-digit whole number correct to 3 decimal places

Arrange decimals, fractions, mixed numbers and whole numbers in ascending/descending order

Express mixed number as a decimal correct to 1/2/3 decimal places

Multiply a decimal number by tens/hundreds/thousands

Divide a decimal number by tens/hundreds/thousands

Write expanded form of a given standard decimal as sum of tenths, hundreths and thousandths

Determine how many tenths, hundreths, thousandths are there in a standard decimal number

Determine value of specified digit in decimal number greater than 1

Add/Subtract tenths, hundreths, thousandths from a decimal number

Compare decimal numbers using <, >, =

Arrange decimal number in ascending /descending order

Express decimal number with whole and decimal parts as a simplified fraction

Express fraction as decimal number with whole and decimal part

Rounding off decimal number to nearest whole, 1, 2 decimal places

Add decimal numbers upto 3 decimal places

Subtract decimal numbers upto 3 decimal places

Making wholes by adding or subtracting

Estimate sum of two decimal numbers

Estimate difference of two decimal numbers

Multiply decimal number by 1 digit whole number

Estimate product of decimal number by 1-digit whole number

Divide a decimal by a 1-digit whole number without remainder

Estimate division of a decimal by 1-digit whole number

Divide a decimal number with whole number part by a 1-digit whole number correct to 1 decimal place

Divide a decimal number with whole number part by a 1-digit whole number correct to 2 decimal places

Divide a decimal number with whole number part by a 1-digit whole number correct to 3 decimal places

Arrange decimals, fractions, mixed numbers and whole numbers in ascending/descending order

Express mixed number as a decimal correct to 1/2/3 decimal places

Multiply a decimal number by tens/hundreds/thousands

Divide a decimal number by tens/hundreds/thousands