Numbers

Numbers can be split in lots of different ways. We call groups of numbers following a particular rule, a set. (Set is the most defined word in the English language with 430 different definitions in the OED (1989 edition)).

There are various commonly accepted sets of numbers. Natural numbers, integers, rational numbers, irrational numbers to mention a few. We sometimes split numbers into odd numbers and even numbers, sometimes into positive and negative numbers.


Place Value Calculator

Makes understanding multiplying and dividing by powers of ten more accessible.

Makes understanding multiplying and dividing by powers of ten more accessible. This does involve some preparation and needs a blank strip to insert (preferably lambinated) so that students can write numbers and slide them from side to side as required.

Counting 1

This self marking spreadsheet is on counting.

This self marking spreadsheet is on counting.

Counting 2

This self marking spreadsheet is on counting.

This self marking spreadsheet is on counting.

Place Value

This self marking spreadsheet is on place value.

This self marking spreadsheet is on place value.


Place Value 2

This self marking spreadsheet is on place value as well.

This self marking spreadsheet is on place value as well.

 

Ordering 1

This self marking spreadsheet is on ordering numbers.

This self marking spreadsheet is on ordering numbers.

Ordering 2

This self marking spreadsheet is also on ordering numbers.

This self marking spreadsheet is also on ordering numbers.

Basic Skills Practice

Basic skills practice concentrates on rounding numbers to a decimal place or a significant figure, addition and addition of indices, finding the sum, product, difference and range of a set of values.

Basic skills practice concentrates on rounding numbers to a decimal place or a significant figure, addition and addition of indices, finding the sum, product, difference and range of a set of values.


Number Bonds

Concentrating on number bonds to 10 or 100.

Concentrating on number bonds to 10 or 100.

 

 

 

Number Lines

Number lines of different scales and some blank for you to ask the students to mark a particular point.

Number lines of different scales and some blank for you to ask the students to mark a particular point.

Countdown Questions

Can the students come up with a list of calculations to hit the target number?

Can the students come up with a list of calculations to hit the target number?

GCSE Questions on number

Conversions of FDP and ordinary numbers to standard form, product of prime factors, factor trees, multiples, LCM and HCF, square numbers and prime numbers.

Conversions of FDP and ordinary numbers to standard form, product of prime factors, factor trees, multiples, LCM and HCF, square numbers and prime numbers.


List of decimals to order

Start by putting the lilac numbers in order, now slot in the green and blue numbers, continue until all the numbers are placed in ascending order.

Start by putting the lilac numbers in order, now slot in the green and blue numbers, continue until all the numbers are placed in ascending order.

 

 

 

Counting and Partitioning

This self marking spreadsheet is on counting to 1000 followed by partitioning two numbers and adding two numbers using partitioning.

This self marking spreadsheet is on counting to 1000 followed by partitioning two numbers and adding two numbers using partitioning.

Counting to 100, number bonds and subtraction

This self marking spreadsheet is on counting to 100 followed by number bonds to 10 and then 100.  Finally, subtraction problems.

This self marking spreadsheet is on counting to 100 followed by number bonds to 10 and then 100. Finally, subtraction problems.

Ordering numbers and fraction walls

Ordering numbers and fraction walls.

Ordering numbers and fraction walls


Arithmetic Sequences

Adding hundreds, tens, units to each sequence in turn.

This self marking spreadsheet concentrates on adding hundreds, tens, units to each sequence in turn.

 

 

 

 

 

Understand and use algebraic notation

Use bar models and functions to find the answers.

Use bar models and functions to find the answers.

PowerPoint on place value

PowerPoint on place value

PowerPoint on place value.

Video on directed numbers

Video on directed numbers (negative numbers).

Video on directed numbers (negative numbers).


Directed Number 1

This self marking spreadsheet is covers calculations with directed numbers including ordering, addition, subtraction, multiplication and division and a worksheet of mixed questions.

This self marking spreadsheet is covers calculations with directed numbers including ordering, addition, subtraction, multiplication and division and a worksheet of mixed questions.

Directed Number 2

This self marking spreadsheet is covers calculations with directed numbers including addition, subtraction and multiplication.

This self marking spreadsheet is covers calculations with directed numbers including addition, subtraction and multiplication.

Odd and even parity

Odd and even parity.  Shading odd numbers on a grid and then adding both odd and even numbers up and comparing them with < and > symbols.

Odd and even parity. Shading odd numbers on a grid and then adding both odd and even numbers up and comparing them with < and > symbols.

Ordering numbers

Fill in the spaces on each grid with a number that could be there and still keep all nine numbers in order.  There are some questions that have more than one correct answer.

Fill in the spaces on each grid with a number that could be there and still keep all nine numbers in order. There are some questions that have more than one correct answer.


Ordering numbers PowerPoint

Run through each slide asking the students to write each group of numbers in ascending order.  The answers are given immediately afterwards to that you can emphasise why you would put each number in its particular place.

Run through each slide asking the students to write each group of numbers in ascending order. The answers are given immediately afterwards to that you can emphasise why you would put each number in its particular place.

 

Prime numbers and divisibility

Prime numbers and divisibility questions.

Prime numbers and divisibility questions.

Ordering numbers PowerPoint

Run through each question.  The questions and answers are used to highlight the actual digit that is being compared to formulate the order.  It is important to ensure that the students do not think that those numbers with the longest string length are the biggest numbers as this seems to be where confusion creeps in.

Run through each question. The questions and answers are used to highlight the actual digit that is being compared to formulate the order. It is important to ensure that the students do not think that those numbers with the longest string length are the biggest numbers as this seems to be where confusion creeps in.

Ordering Decimals

This self marking spreadsheet on ordering decimals begins with ordering integers, ordering mixed numbers with tenths, ordering mixed numbers with hundredths and finally, counting in hundredths.

This self marking spreadsheet on ordering decimals begins with ordering integers, ordering mixed numbers with tenths, ordering mixed numbers with hundredths and finally, counting in hundredths.


Partitioning Decimals

This self marking spreadsheet on partitioning decimals begins with partitioning into units and tenths, then tens, units, tenths and hundredths and finally, HTU with tenths and hundredths.

This self marking spreadsheet on partitioning decimals begins with partitioning into units and tenths, then tens, units, tenths and hundredths and finally, HTU with tenths and hundredths.

 

 

 

 

Partitioning Integers 1

This self marking spreadsheet on partitioning integers begins with partitioning TU, then HTU and finally ThHTU.

This self marking spreadsheet on partitioning integers begins with partitioning TU, then HTU and finally ThHTU.

Partitioning Integers 2

This self marking spreadsheet on partitioning integers begins with partitioning TU, then HTU and finally ThHTU.

This self marking spreadsheet on partitioning integers begins with partitioning TU, then HTU and finally ThHTU.

Place value

This is a set of KS2 questions on place value.

This is a set of KS2 questions on place value.


Place value Cards

Looking at the value of each column up to and including the hundred-million column.Can you write out the numbers represented by each row in the chart?

Looking at the value of each column up to and including the hundred-million column.Can you write out the numbers represented by each row in the chart?

Place value: adding 10 or 100.

This self marking spreadsheet on place value is designed to allow the children to add 10 or 100 to the relevant column to try to speed up their mental arithmetic.

This self marking spreadsheet on place value is designed to allow the children to add 10 or 100 to the relevant column to try to speed up their mental arithmetic.

Digit card questions

Can you arrange the digit cards given to give the highest, lowest numbers?

Can you arrange the digit cards given to give the highest, lowest numbers?

Place value: adding 10 or 100.

This self marking spreadsheet on reasoning is several sudoku games.

This self marking spreadsheet on reasoning is several sudoko games. If the students like this, then I can recommend the New York Times website here.


Standard Form

GCSE questions on standard form and ordinary form.

Can you arrange the digit cards given to give the highest, lowest numbers?

Video on Standard Form

GCSE questions on standard form and ordinary form.

GCSE questions on standard form and ordinary form.

Directed Number

GCSE questions on directed numbers

Perform the four operations on directed numbers.

Directed Number

GCSE questions on ordering numbers

Order Numbers including directed and decimal numbers


A video looking at partitioning numbers and explaining place value

A video explaining how place value works in base 10 and in base 2.

This video begins by looking at partitioning numbers into Th H T U etc and then moves on to partitioning into standard form. This is then applied to numbers in other bases, in this case, base 2.

 

 

A video about multiplying and dividing by multiples of ten

A video explaining how to multiply and divide by multiples of ten.

A video explaining how to multiply and divide by multiples of ten.

Place Value Calculator Pt2

Place Value Computer pt 2

Goes with the place value computer part 1. I would laminate this sheet so you can use it over and over again.