Resources tagged with: Place value

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Broad Topics > The Number System and Place Value > Place value

What Do You Need?

Age 7 to 11
Challenge Level

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

What Number?

Age 5 to 7 Short
Challenge Level

I am less than 25. My ones digit is twice my tens digit. My digits add up to an even number.

Our Numbers

Age 5 to 7
Challenge Level

These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

Less Is More

Age 5 to 11
Challenge Level

Use your knowledge of place value to try to win this game. How will you maximise your score?

Dicey Addition

Age 5 to 11
Challenge Level

Who said that adding couldn't be fun?

The Thousands Game

Age 7 to 11
Challenge Level

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

Light the Lights

Age 5 to 7
Challenge Level

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

Number Detective

Age 5 to 11
Challenge Level

Follow the clues to find the mystery number.

How Can I Support the Development of Early Number Sense and Place Value?

Age 3 to 11

This article for primary teachers expands on the key ideas which underpin early number sense and place value, and suggests activities to support learners as they get to grips with these ideas.

Diagonal Sums

Age 7 to 14
Challenge Level

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

Ten-frames Games

Age 3 to 7

These games use ten-frames to develop children's 'sense of ten'.

Place Value: the Ten-ness of Ten

Age 3 to 11

This article develops the idea of 'ten-ness' as an important element of place value.

Which Is Quicker?

Age 7 to 11
Challenge Level

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

Ten-ness of Ten

Age 5 to 7

These tasks will help children understand the 'ten-ness' of ten, a fundamental part of place value.

Being Curious - Lower Primary Number

Age 5 to 7

Number problems to spark your curiosity.

Ordering

Age 5 to 11

This set of activities focuses on ordering, an important aspect of place value.

One of Thirty-six

Age 5 to 7
Challenge Level

Can you find the chosen number from the grid using the clues?

Nice or Nasty for Two

Age 7 to 14
Challenge Level

Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.

Writing Digits

Age 5 to 7
Challenge Level

Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?

Calculator Bingo

Age 7 to 11
Challenge Level

This is a game for two players. What must you subtract to remove the rolled digit from your number? The first to zero wins!

Amount

Age 5 to 11

These tasks will help learners develop their understanding of place value, particularly giving them opportunities to express numbers as amounts.

Digit Addition

Age 5 to 11
Challenge Level

Try out this number trick. What happens with different starting numbers? What do you notice?

Oddly

Age 7 to 11
Challenge Level

Find the sum of all three-digit numbers each of whose digits is odd.

Subtraction Surprise

Age 7 to 14
Challenge Level

Try out some calculations. Are you surprised by the results?

Nice or Nasty

Age 7 to 14
Challenge Level

There are nasty versions of this dice game but we'll start with the nice ones...

Multiply Multiples 2

Age 7 to 11
Challenge Level

Can you work out some different ways to balance this equation?

Multiply Multiples 1

Age 7 to 11
Challenge Level

Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

Multiply Multiples 3

Age 7 to 11
Challenge Level

Have a go at balancing this equation. Can you find different ways of doing it?

Dicey Operations in Line for Two

Age 7 to 11
Challenge Level

Dicey Operations for an adult and child. Can you get close to 1000 than your partner?

Journeys on the Gattegno Tens Chart

Age 5 to 11

Alf describes how the Gattegno chart helped a class of 7-9 year olds gain an awareness of place value and of the inverse relationship between multiplication and division.

Position

Age 5 to 11

One of the key ideas associated with place value is that the position of a digit affects its value. These activities support children in understanding this idea.

Activities on the Gattegno Chart

Age 5 to 11

In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.

More Upper Primary Activities on Number Sense and Place Value

Age 7 to 11

More upper primary number sense and place value tasks.

More Lower Primary Number Sense and Place Value Activities

Age 5 to 7

More activities which will help you get a better of sense of numbers and understand what we mean by place value.

Place Value as a Building Block for Developing Fluency in the Calculation Process

Age 5 to 11

This article for primary teachers encourages exploration of two fundamental ideas, exchange and 'unitising', which will help children become more fluent when calculating.

Number Sense and Place Value

Age 5 to 11

This feature aims to support you in developing children's early number sense and understanding of place value.

Two Spinners

Age 5 to 7
Challenge Level

What two-digit numbers can you make with these two dice? What can't you make?

Being Curious - Primary Number

Age 5 to 11
Challenge Level

Number problems for inquiring primary learners.

The Number Jumbler

Age 7 to 14
Challenge Level

The Number Jumbler can always work out your chosen symbol. Can you work out how?

Number Sense Series: A Sense of 'ten' and Place Value

Age 5 to 7

Once a basic number sense has developed for numbers up to ten, a strong 'sense of ten' needs to be developed as a foundation for both place value and mental calculations.

Six Is the Sum

Age 7 to 11
Challenge Level

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

ABC

Age 7 to 11
Challenge Level

In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?

Method in Multiplying Madness?

Age 7 to 14
Challenge Level

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

That Number Square!

Age 5 to 11
Challenge Level

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

Spell by Numbers

Age 7 to 11
Challenge Level

Can you substitute numbers for the letters in these sums?

All the Digits

Age 7 to 11
Challenge Level

This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

Reach 100

Age 7 to 11
Challenge Level

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

Napier's Bones

Age 7 to 11
Challenge Level

The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?

Alien Counting

Age 7 to 11
Challenge Level

Investigate the different ways these aliens count in this challenge. You could start by thinking about how each of them would write our number 7.

Trebling

Age 7 to 11
Challenge Level

Can you replace the letters with numbers? Is there only one solution in each case?