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INTRO + Addition and Subtraction Mental Strategies

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INTRO + Addition and Subtraction Mental Strategies

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The Number Rods also help children learn the names of numbers and their sequence and learn to correctly associate between the spoken number and its quantity. Children grow to understand that each rod represents a unique quantity and that each number is represented by a single object as a whole, separate from others.

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Based on a proven concrete-pictorial-abstract approach, Numicon encourages children to explore maths using structured imagery and apparatus in order to understand and explain mathematical concepts. Supports the Cambridge Primary Maths Curriculum framework for classroom use.

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100 -square games. Counting Backwards. Skipping Numbers. Addition, Subtraction... and more!

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Interactive Educational Games (All Ages)

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Interactive Educational Games (All Ages)

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ABCya! • ABCya! • Learning Games and Apps for Kids

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Educational games for grades PreK through 6 that will keep kids engaged and having fun. Topics include math, reading, typing, just-for-fun logic games… and more!

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Number Bubble - Skip Counting is an educational game for kids to practice counting by multiples. Children must fill in the missing numbers by popping bubbles and dropping the numbers in the correct chests. Children can count by twos, threes, fours, fives, sixes, sevens, eights, nines, or tens to 100. Utilize this game with one of our interactive 100s charts to show multiplication patterns.

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Free virtual manipulatives for schools ideal for Interactive white board

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Visnos demonstrations page - free activities to explore mathematical concepts using virtual manipulatives. Online math activities using fractions, decimals, percentages, multiplication tables, division, telling the time, angles, polygons, factors and multiples.

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This activity allows manipulation and investigation of various types of angles. The online protractor tool can be used to practice measuring angles. It can be used at a variety of different grade levels. At its most basic for teaching about types of angles, acute, obtuse or reflex. For more advanced use to create angle problems in which the missing letter angle values have to be found. You can click and drag the handles to change the angles and the values will updated.

The controls

The mode control is used to it selects the type of angle problem.

Next to this is number of lines. But please note this control is disabled for both 'one' and 'intersect' modes.

the random button sets each angle to a random value

the equals button make all the angles equal.

the Protractor button when clicked will show or hide a protractor

Paper can select spots, squares or none for the background.

Use the angles display to choose whether to show or hide angles

In all the modes individual angles can be shown or hidden for example click the angle (a). Notice when the value is hidden the angle value next to the angle arc is replaced by the corresponding letter.

The handles at the end of each line can be clicked and dragged to change the angle.

Mode 'one' Identifying angle types.

The initial mode is unique in that there is only one angle. This mode is great for identifying various types of angles. Click the angle type ctrl to either show or hide the type. So now you can change the angle by dragging a handle or clicking dice for a random value. The angle types definitions are listed in the glossary below.

Complementary Angles mode

In this mode a complementary angle is shown, complementary angles add up to 90° Initially the 90° is split by just one line but this can be changed by selecting a different number of lines. A standard school problem is to have one missing angle that needs to be calculated. You can produce infinite such problems by selecting calculate from angles display, now press dice for a new problem.

Supplementary Angles mode

Supplementary angles are angles that add up to 180°. This mode behaves exactly the same as the previous.

Angles at a point mode

The angles at a point add up to 360°. In this mode press = button to make all the angles equal. This can be good way to start a problem followed by small adjustments to the lines by dragging.

Angles at intersecting lines mode

The final mode deals with angles produced by an intersection of two lines. If you have selected calculate you will notice that only one angle is given and all the other 3 can be worked out using the vertically opposite rule, or spotting the supplementary angles.

Angles Glossary

Acute Angle

Any angle that is less than 90°

Right Angle

An angle that is 90°

Obtuse Angle

An angle greater than 90° but less than 180°

Straight Angle

An angle of 180° which makes a straight line

Reflex Angle

An angle greater than 180°

Related activities

The interactive clock angles activity can also be used in explaining angles.

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Online protractor & angle maker | interactive angle visualiser | visnos

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Easy measure angles, using interactive whiteboard angle simulator. Online protractor or angle problems with acute, obtuse, reflex angles. Further complementary, supplementary and angles at a point. Use on interactive whiteboards, angles can be automatically shown or measured with a protractor.

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Factors, Multiples, Square and Triangular (Visual Numbers)

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Factors, Multiples, Square and Triangular (Visual Numbers)

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The number explorer allows demonstration of the properties of any positive whole number of reasonable size. You can use large numbers, however in practice numbers up to 100 work best for showing division properties. Three different shapes can be used, the original fish swim around and obediently arrange themselves to show number properties. However balls or cards cards can be used instead, these animate faster and are better for displaying numbers.

Manual Mode

The activity currently has the four different modes, we will start by taking a look at the manual mode. The other modes are for automatically analysing a number and are discussed later.

Triangular and Square numbers

Below the mode selector you will see 5 buttons, start by clicking Tri the shapes will move and attempt to arrange themselves into an equilateral triangle. In the case you will see that 36 does perfectly arrange into a triangle and hence is a triangular number.

Now click the button labelled square the shapes will now attempt to arrange into a square pattern which again works since 36 is also a square number. You will notice that the dimensions are shown for the square, click dimensions to toggle the display. To the left of the dimensions button, is the show numbers toggle button, click it and the a number will be displayed on each shape. Numbers work best on the ball or circle shapes, which can be selected by by the drop down select control

Move, Stop and changing the total

Now click the move button and the shapes will continuously move around the screen. Click stop and the shapes will move to a random position on the screen and stop. If you press this button again they will move to a new position. This is useful to develop the concept of conservation of number, that is the number of objects remain the same when rearranged spatially.

Moving to the top of the controls you can see the total is displayed. Click the actual total text and it be hidden, click again to show. Below the dice button when clicked will change the total to a random number between 1 and 100. So clicking it will cause shapes to arrive or leave to make the new total, this is useful for estimation or counting by hiding the total at the same. To the right of this button you will see a + button, click this to add one shape, or the − button to to subtract one. Finally to choose your own total just enter a number into the total input field but remember to click the update button to complete the update.

Division of number

Perhaps the most useful part of this interactive activity is demonstration of division. Click the divide button and shapes will arrange into a number of columns which is equal to the divisor displayed below the divide button. At the bottom of the controls you will see a display of the completed division. This can be hidden by clicking show toggle button. You can also change the type of calculation displayed. Use the select control to choose from 'remainder' which will show the remainder if any from the division.'Fraction' shows an unsimplified fraction if any, while'decimal' shows the decimal result. Finally'product' shows the calculation displayed as a multiplication product, which can be useful in establishing how division and multiplication relate to each other.

Automatic modes

The automatic modes can be used to view the properties of a given number. The automatic modes essentially animate the shapes through a set of divisions. There are three different types of auto mode, which are chosen from the mode select control.

Factor Pairs

Finding factor pairs is a great way to find a set of factors as it is much harder to forget one. Select factor pairs and you the first one will appear, for example if we use 16 then 1×16 is the first pair. The shapes will be displayed as one column to show this. Click next and 2×8 will appear and so on. You will notice a button labeled auto click to turn in on, you only need to click next once and the pair will continue to appear automatically.

Some of the cards are black, this is to show that the pair has already been found since multiplication is commutative.

Prime factors

Prime factors divides a number down by its prime factors till one is reached.

Division Tests

In this mode an attempt is made to divide the number by every integer value up to half the number. The fraction is shown if the the divisor is not a factor. When all the divisions have been completed, ones with fraction parts will disappear to leave the only the number that have divided equally without remainders.

Learning about numbers from their possible arrangements

Hopefully using this activity pupils will gain insight into what the arrangements mean and how they relate to division, multiplication and factors.

All the whole numbers can be arranged into at least one rectangular arrangement. The possible arrangements give us the factors of the number itself.

So for example if we consider the number 7, the only possible rectangular arrangement is 1×7, note we won't include 7×1 as it really is the same thing. But the number 6 in comparison can be arranged as 1×6 or 2×3. The arrangements give us the factors of a number, 6 has factors 1,2,3,6 but 7 only has 1 and 7.

So a prime number can only be arranged into a line to make a rectangle

Number 6 can be arranged as 3x2, hence 2 and 3 are factors.
But Number 7 can only be arranged into one rectangle shape hence it is a prime.

Related activities

The fish multiplication tables is very similar to this one, but designed for multiplication tables up to 100.

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Visual Number animated explorer,learn division,square & triangular

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The number explorer demonstration is great for visual learners see fish arrange into different patterns to explain division,primes,square,triangular numbers

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interactive times tables | multiplication square | whiteboard | fish | visnos

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Interactive multiplication tables, simply view multiplication facts with their visual representation. Toggle multiplication square. Help students to learn times tables.

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mental strategies overview slides - division

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mental strategies overview slides - multiplication

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Mental Strategies ADDITION & SUBTRACTION

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Mental Strategies ADDITION & SUBTRACTION

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Maths Week Scotland (Padlet - ALL Levels)

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Maths Week Scotland (Padlet - ALL Levels)

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With Activities!

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Visit a science centre, museum or gallery

Science Centres, museums and galleries across the country take part in Maths Week Scotland every year with special events, activities and exhibitions. Find out what is happening near you on our events page.

A scavenger hunt is a great way to get out and about AND have some fun with maths. You could go on a Shape Hunt, looking for how many different shapes you can find in your neighbourhood, or you could go on a Number Hunt, and see what numbers you can find on houses, shops, road signs etc. Why not document what you find and share your photographs with us online!

Whether you live in an urban or rural area, a nature walk is a perfect activity for families to teach children about directional language such as clockwise, anticlockwise, right turn, left turn, quarter turn etc. Discuss the route you will take before heading out, and while you are on your walk ask children to describe where you are going.

Lots of games already include maths without you even realising it, such as reading numbers on dice, moving a playing piece forward spaces, or counting out cards. But some games are specifically designed to practice certain maths skills. Browse our family activities for fun maths games that can be played with regular dice or playing cards.

There are so many ways to bring maths and numeracy to life for little ones. Sharing stories that feature numbers and counting, shapes and patterns, or other mathematical concepts can help to lay the foundations for a life-long love of maths. Browse our book reviews series for suggestions on children's books that support numeracy and maths skills.

Maths and art go hand in hand. Shapes, pattern and symmetry lend themselves to getting creative, so why not get out your pens or paint and make some maths inspired art of your own. Browse our family activities for a variety of maths inspired art and craft projects.

Did you know baking is one of the best activities you can do at home that uses lots of different maths skills - from weighing, measuring and counting, to fractions, conversions, telling the time and more!

As well as maths games and art projects, we also have a host of online maths inspired activities you can do from home including code breaking, escape rooms, and quizzes.

Latest News

Upcoming Events

1st Jan-31st Dec

Journey Around the World

The Burrell Collection, Glasgow All day £15 - £20 per group

Workshop for schools. Come on an adventure with us on the Silk Road and discover artifacts from the Middle East, Asia, and Africa!

View details

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Families Landing Page - Maths Week Scotland

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Maths is all around us, and there are plenty of ways for you and your family to have fun with maths at home, and when you're out and about.

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...To Practise Every Day! (PDF downloadable)

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...To Practise Every Day! (PDF downloadable)

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Free Educational Resources (Numeracy & Literacy!)

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Free Educational Resources (Numeracy & Literacy!)

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Doorway Online is a collection of free and highly accessible educational games that learners will find easy to use independently. Each activity has a range of accessibility and difficulty options. Originally developed with funding from Scottish Borders Council, it is now managed by the Doorway Accessible Software Trust, a Scottish charity.

Filed Under: Tagged With: News accessible, activities, educational, free, games, interactive, interactive whiteboard, iwb, learning, literacy, maths, numeracy, school, spelling, typing

We are proud to announce Text Type, the final version of our touch typing activity. Please read these notes carefully.

We have made numerous changes to Text Type to make it more accessible:

Enhanced speech feedback echoing all keypresses and on-screen text. This makes Text Type accessible to leaners with extremely low vision, with some support.

We have increased the size of the target text to make TextType more accessible to visually impaired learners.

As far as possible, Text Type can be navigated by keypresses. These are the standard keys to navigate web browsers. TAB, Enter, the Up and Down Arrow Keys.

Doorway Single Handed Typing has been added to Text Type. This allows learners with use of a single hand to practise typing using exercises developed for their particular need. Select Left or Right from the title screen.

Teipio Testun Text Type is now a totally bilingual activity The Welsh Governement has paid for this development including the above improvements. Text Type/Teipio Testun is also available on their education website, The Hwb.

Browsers - Text Type has been tested on Microsoft Edge and Chrome. It should work in Firefox, but this is not guaranteed.
An important notice about the Speech Output
In previous versions of Text Type, the target letter (female voice) and any mistyped letter (male voice) were spoken by recorded human voices. Text Type now uses text to speech voices. The first time you use Text Type, you will need to choose the voices.

These voices are specific to the browser:

In Microsoft Edge, Sonia Online and George might be a good choice

In Chrome, the choice is between the Microsoft voices and the Google voices, female and male.

In Firefox, you can use a favourite pair of SAPI voices such as Cerevoice Heather and Stuart which are particularly clear in differentiating the names of the letters. You will have to use Firefox, which still supports SAPI voices. Firefox is not officially supported, but we have found no issues with Text Type and Firefox.

Documentation. We have produced a guide to Text Type/Teipio Testun in English, for learners in both languages.

To download this documentation, use the link below:

Two previous versions
For the moment we are keeping two previous versions on the site, TT3 phase 2 and TT3 phase 3. These are no longer supported and may not be kept here much longer.

Scheduled maintenance will be happening to the Doorway website on 16-02-2022 between 9 am and 3pm. During this time the site may not be available for around 10 to 15 minutes.

We are sorry if this causes you any inconvenience.

Doorway Online is designed to run on the following supported web browsers:

Microsoft Edge, Google Chrome and Mozilla Firefox (should be compatible).

If you are experiencing problems accessing our site or activities please check you are using one of the above browsers and that your browser is up-to-date.

If you are still experiencing problems please fill in an error report and we will get back to you.

Note: Internet Explorer is no longer supported by our site as it will soon be retired by Microsoft.

Important Update: There is even more up-to-date version of Text Type. Read more about this update here.

We have completed Text Type 3, the touch typing tutor for visually impaired learners that should suit anyone learning to touch type.
The new features are aimed at learners with very low vision:

Text to Speech is available for almost all on-screen text

TAB, Space and Enter can be used to access most functions

Newly recorded female and male voices are used to prompt the next keypress and warn of an incorrect keypress

Single-Handed Typing is now included in Text Type 3

We invite you to take a look at Text Type 3.

Text Type 3 phase 2, has been available on the site for over a year and will be available for three more months. It can be found here.

With the decline of Adobe Flash, soon some of our activities may not continue to function. The following activities have been renewed and will continue to work: Text Type, Speller 2, Letter & Number Formation, Cashing In and the First Phonics suite.

Fortunately, the downloadable version of our remaining activities should continue to run on Windows computers. All of our activities can be downloaded for free below!

The file is zipped and will need to be extracted before use ( how to extract/unzip a file). For installation on a school network, a request will need to be made to the network administrator.

Filed Under: Tagged With: News doorway activity pack, download, windows

Doorway Activities were originally developed in Adobe Flash. This was a good way to develop such activities up to eight or ten tears or so ago. However, Apple decided not to support Flash and later tablets entered the scene. There was a solution in Puffin Browser. Our older activities still work on PCs and Android devices with Puffin Browser installed. This is no longer available on the Apple Store.

We have been able to re-code these activities to work with almost all computers and devices;

Text Type 3

Speller 2

Letter & Number Formation

Cashing In

First Phonics suite, incorporating First Sounds; First Words; First Blends; First Digraphs; More Digraphs; First Blends

First Phonics. The suite of activities now working with most devices.

These have been developed in the modern format of html5 and JavaScript and there are no restrictions to their working on browsers on PCs and Macs. They also work on tablets although on iPads they do not enter full-screen mode as they do on Android tablets. For the remaining activities, we hope to convert more.

In the meantime, if you want to access the Flash-based activities on this site; - Do not use Chrome Browser. Firefox is more friendly to Flash-based activities. If you are using a PC you can buy the Doorway Activity USB pen-drive and install the activities directly to your PC, Pendrive or Network, or even run them directly from the USB stick. It's available now at £ 10, below cost price from [email protected]. There is no copyright restriction any more.

The Doorway Activity Pack, now on USB pen-drive. All the Flash-based activities from the website should work on all Windows PCs. This includes networked PCs, but installation may require a network administrator.

We expect that you'll be able to download these activities directly from this site before too long. Watch this space .................

We are working on the final phase of Text Type 3, the touch typing tutor that can take learners from the home keys to mastery of the whole keyboard and typing sentences. This activity is designed to be as accessible as possible to visually impaired learners as possible. The final version should be accessible even to blind learners, after some initial guidance.

Learning to touch type.
There are some things that you need to know before supporting a learner on the road to touch typing

Touch Typing is just that. There should be no keeking at the keyboard. Do not look at the keyboard or your hands, all the information you need is on the screen in Doorway Touch Type.

Touch typing is a motor learning experience. This means not looking at your hands. The best way to ensure this is to cover the learner's hands with a light cloth. If you truly learn to touch type this skill will last a lifetime like riding a bike. Even learners with mild VI can be tempted to peep.

Motor learning is a very powerful tool and such skills will remin with you thoughout life. However you need to be careful. An incorrect motor habit is very hard to correct. So get it right from the start.

You need to get into a comfortable position in which the hands fall naturally onto the keyboard. The surface on which the keyboard stands must not be too high. The wrists may rest on pads if you are typing for a long time.

A Touch Typing programme is a series of lessons starting with the home keys (A S D F J K L ; ) and leading to full mastery of the keyboard. Moving on to the next exercise without sufficient mastery of the current exercise, will only lead to disappointment later on. A score of 90% or one error in every ten keypresses should be the minimum achievement before moving on. 94% or better is our recommended level of accuracy before moving on.

Learners benefit from regular practice. Little and often is best.

Accuracy should come before speed. Start slowly. If you can type at a regular pace, almost to a beat, it will help you achieve a high speed.

Doorway Text Type is a series of exercises that, followed properly, can lead to a high rate of accuracy in typing and a good rate in terms of words per minute. In handwritten exams with a lot of writing involved. Writing at a rate of 20 words per minute is an arduous task. For a typist that is a low rate of entry. A rate of 40 words per minute is entirely realistic for a sixteen-year-old typist coming up to exams.

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Doorway Online does not collect any information about users.

Text Type 3 stores the results from a user's last session on the computer it is accessed from, but we cannot see that data.

We use Google Analytics to give us usage figures for our activities. This is anonymised data that allows us to see which countries users are accessing our site from, which activities they access and allows us to check for bandwidth issues. It is not possible for us to identify a school or an individual user. We also get anonymised data from Google ads. These adverts are usually blocked in schools.

If you communicate with us by emailing [email protected], our mail server may store your email address. However, we will not use this address to communicate with you except regarding the issue you contacted us about. Your email address will be shared with no other organisation.
Email addresses will be deleted from our mail server when we no longer require them and in any case, two years after our last contact with you. You may send an email to that address asking for your emails and email address to be deleted.

A teacher in East Lothian has made up some very useful record sheets for students to keep track of their progress through the Speller levels. He has been generous in making them available to all.

They are in a compressed zip file which you may have to open using WinZip.

Thanks again to Darren Donnelly, PT Support For Learning, Musselburgh Grammar School for compiling these word lists.

The off-line version of Doorway activities for Windows PCs or laptops which had poor or no internet access has been the Doorway Activity Pack CD. This installs the activities onto your hard disc, server or pen-drive. Typically these were licensed by a school or LEA. We are no longer charging for this, beyond the costs of materials and copying.

We will be making the Doorway Activities freely downloadable. We must thank those authorities that licensed the Doorway Activity Pack CD when we started up. Those licence fees kept us going when finances were terribly tight. Now, it makes sense to make them freely available.
Coming Soon

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Doorway Online is a collection of free and highly accessible educational games that learners will find easy to use independently. Each activity has a range of accessibility and difficulty options. Originally developed with funding from Scottish Borders Council, it is now managed by the Doorway Accessible Software Trust, a Scottish charity.

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Welcome to our now-look website. We are in the process of migrating all suitable resources from our old site - please be patient. Snappy Maths is a UK-based site which has been developed to provide free worksheets, interactive activities and other resources to help with the teaching and learning of mathematics facts and skills for ages 4 to 11 (Early Years, Key Stage 1 and Key Stage 2).

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Maths Worksheets, Interactive Games and Resources - Snappy Maths

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Free maths worksheets, interactive games and resources for Early Years, Key Stage 1 and Key Stage 2 (Kindergarten to 5th Grade).

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Times Tables Rock Stars – Times Tables Rock Stars

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Maths Genie - Primary - KS2 SATs Revision

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The Maths Genie Key Stage 2 SATs revision page featuring past papers, video lessons, practice SATs style questions and solutions arranged by topic.

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Learning to count is fun with this range of free educational games for Key Stage 1 children. Start with the simple counting games and progress to numbers up to 100. There are also matching and sequencing numbers activities.

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Free, interactive, learning to count games for 5 to 7 year olds involve numbers from 1 to 100.

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Topmarks: teaching resources, interactive resources, worksheets, homework, exam and revision help

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Searchable site of thousands of quality teaching resources, interactive resources, homework, exam and revision help. Useful for teachers, pupils and parents.

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Maths Games for KS2: designed by a teacher for teachers - Mathsframe

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Mathsframe has more than 200 interactive maths games and 300 maths worksheets and assessments linked to the new curriculum. All resources are designed by an experienced KS2 teacher. New games and worksheets are added regularly.

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Number Rack facilitates the natural development of children’s number sense. Rows of moveable, colored beads encourage learners to think in groups of fives and tens, helping them to explore and discover a variety of addition and subtraction strategies.

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The home of mathematics education in New Zealand.

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All TCSOA Students have a login and a password. If unsure, please contact your teacher!

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Sumdog - Personalised maths and spelling practice that children love!

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Sumdog's maths and spelling adaptive learning games for children aged 5-14 boost engagement and fluency. Proven to accelerate progress.

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The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles.

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Kjartan Poskitt's extraordinary numerical extravagance.

Kjartan Poskitt's extraordinary numerical extravagance.

Performances & Interviews

About Kjartan Poskitt

Kjartan Poskitt is a freelance everything. Since getting his engineering degree he's worked as a TV presenter, has written many theatre shows and played a lot of pub pianos very loudly! His books include Isaac Newton and his Apple and the ingenious Warp Maze illustrated by cartoonist Stephen Appleby. His notorious Killer Puzzles series and books on magic tricks and secret codes have made him a firm favourite with 'brains' of all ages! Kjartan has also written six support books for the BBC Schools series Megamaths and in recent years he's also written the novels Urgum The Axeman, Urgum and the Seat of Flames and Urgum and the Googoobah which was shortlisted for the first Roald Dahl Funny prize in 2008. Now his internationally renowned Murderous Maths book series has inspired Kjartan to tour a show full of mathematical tricks and oddities.

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Math explanations made easy for everyone - ages 7-11+

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Math explanations made easy for everyone - ages 7-11+

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math education fractions arithmetic geometry percents percentages angles

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Learn More at mathantics.com Visit http://www.mathantics.com for more FREE math videos and additional subscription based content!