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Fios Fuaimeanna - phonics and pre reading

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Fios Fuaimeanna - phonics and pre reading

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Túsfhuaimeanna - mini books supporting initial sounds

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Túsfhuaimeanna - mini books supporting initial sounds

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Léigh leat - phonics based songs and activities

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Léigh leat - phonics based songs and activities

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Cé Muid

Is múinteoirí bunscoile a bhunaigh an gnó seo, Leighleat, agus iad ag iarraidh réimse leathan áiseanna digiteacha a chur ar fáil chun tacaíocht a thabhairt do lucht teagaisc agus do lucht foghlamtha na Gaeilge ag leibhéal na bunscoile.

Dá bhrí sin tá na riachtanais a bhaineann le hacmhainní i leith múineadh na Gaeilge ar eolas go rímhaith ag gach duine ar an bhfoireann. Chuige sin, bíonn ealaíontóirí agus ríomhchláraitheoirí den scoth ag obair go dian chun cláir nua-aimseartha, taitneamhacha a chur ar fáil.

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Tá raon áiseanna agus gníomhaíochtaí digiteacha ar fáil ar an suíomh seo atá bunaithe ar a bhfuil ar fáil cheana sa chlár clóite agus ar forbairt iad ar ghnéithe ar leith den chlár sin.

Cruthaíodh an t-ábhar spreagúil seo chun cur ar chumas páistí forbairt a dhéanamh ar na scileanna teanga atá foghlamtha acu. Tá sé bunaithe ar an gcur chuige cumarsáideach agus déantar comhtháthú ann ar na trí shnáithe: teanga ó bhéal, léitheoireacht agus scríbhneoireacht.

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Tá raon áiseanna agus gníomhaíochtaí digiteacha ar fáil ar an suíomh seo atá bunaithe ar a bhfuil ar fáil cheana sa chlár clóite agus ar forbairt iad ar ghnéithe ar leith den chlár sin. Cruthaíodh an t-ábhar spreagúil seo chun cur ar chumas páistí forbairt a dhéanamh ar na scileanna teanga atá foghlamtha acu.

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Scéalta le spraoi - storytelling videos JI-2nd

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Scéalta le spraoi - storytelling videos JI-2nd

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Dia dhaoibh! This youtube channel is to support children with the learning of Irish during the school closures of Covid-19. Weekly videos will be uploaded to provide children with easily understood Irish through stories and activities. Tá súil agam go mbainfear taitneamh astu!

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Físeáin Scéalta Físeáin dea-chleachtais Físéain cócaireacht Físeáin ceardaíocht Fuaim Podchraoltaí (nasc - soundcloud) Glór na nGael · Podchraoltaí do theaghlaigh Glór na nGael · Podchraoltaí Teanga Tí

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Taisce Tuisceanna - Reading Comprehension activities

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Taisce Tuisceanna - Reading Comprehension activities

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Is áis léamhthuisceana é Taisce Tuisceana atá ag teacht leis na teoiricí agus leis an chleachtas is fearr sa léamhthuiscint. Tugann sé deis ar leith do mhúinteoirí in earnáil na Gaelscolaíochta scileanna léamhthuisceana a fhorbairt agus cur le stór focal na ndaltaí ag an am chéanna.

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D'fhorbair an tÁisaonad an suíomh seo in 2020, le linn ghéarchéim na paindéime le hábhar léitheoireachta a chur ar fáil do Ghaelscoláirí na tíre agus le tacú leis an bhfoghlaim ar líne agus muid go léir gafa sa teach.

This site was developed by an tÁisaonad, Belfast, in 2020 during the COVID pandemic, to provide reading materials to Irish medium pupils and support online learning.

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This site was developed by an tÁisaonad, Belfast, in 2020 during the COVID pandemic, to provide reading materials to Irish medium pupils and support online learning.

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Eargan #42 Ar Fáil Chun Léamh Anois Tá Eipic! cosúil leis The Primary Planet agus News Flash, sa mhéid is go bhfoilsítear é uair sa mhí agus go bhfuil gach rud ann ó chúrsaí nuachta, spórt, gnó na siamsaíochta, scannáin, léirmheasanna leabhar agus fiú cúrsaí polaitíochta ar bhealach ar féidir leis na leanaí a thuiscint agus taitneamh a bhaint astu.

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Snas ar scéal - brilliant writing support/prompt cards

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Snas ar scéal - brilliant writing support/prompt cards

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Fís agus foghlaim - Grammar videos - helps own skills and supports

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Fís agus foghlaim - Grammar videos - helps own skills and supports

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Tá raon áiseanna agus gníomhaíochtaí digiteacha ar fáil ar an suíomh seo atá bunaithe ar a bhfuil ar fáil cheana sa chlár clóite agus ar forbairt iad ar ghnéithe ar leith den chlár sin.

Cruthaíodh an t-ábhar spreagúil seo chun cur ar chumas páistí forbairt a dhéanamh ar na scileanna teanga atá foghlamtha acu. Tá sé bunaithe ar an gcur chuige cumarsáideach agus déantar comhtháthú ann ar na trí shnáithe: teanga ó bhéal, léitheoireacht agus scríbhneoireacht.

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Tá raon áiseanna agus gníomhaíochtaí digiteacha ar fáil ar an suíomh seo atá bunaithe ar a bhfuil ar fáil cheana sa chlár clóite agus ar forbairt iad ar ghnéithe ar leith den chlár sin. Cruthaíodh an t-ábhar spreagúil seo chun cur ar chumas páistí forbairt a dhéanamh ar na scileanna teanga atá foghlamtha acu.

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Cleite - games and loads of teacher resources

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Cleite - games and loads of teacher resources

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Cód na Gaeilge - Games for spelling, blending, reading, word study

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Cód na Gaeilge - Games for spelling, blending, reading, word study

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WordArt.com is an AI-powered word cloud generator that enables you to create amazing and unique word clouds with ease.

Professional quality results can be achieved in no time at all, even for users with no prior knowledge of graphic design.

Word clouds (also known as tag cloud, word collage or wordle) are visual representation of text that give greater rank to words that appear more frequently.

Word clouds are perfect for creating stunning personalized gifts. No sign up required!

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Create Stunning Word Clouds in Seconds | WordArt.com

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WordArt.com is an online word cloud generator that enables you to create amazing and unique word clouds with ease

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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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Wheel of Names - Editable spinning wheel

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Wheel of Names - Editable spinning wheel

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Enter names, spin wheel to pick a random winner. Customize look and feel, save and share wheels.

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Wordwall - Create better lessons quicker

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Need a fresh teaching resource that fits your class and teaching style? Create a customized pack of interactive and printable activities in just one minute.

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Kahoot! | Learning games | Make learning awesome!

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Kahoot! is a game-based learning platform that brings engagement and fun to 1+ billion players every year at school, at work, and at home.

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5, 6 and 7 are three consecutive numbers. They add up to 18.

14, 15 and 16 are also three consecutive numbers. They add up to 45.
Take other sets of three consecutive numbers and find their total.
What do you notice?
Do the totals have anything in common?

How can you be sure that what you have noticed will always be true?

Mathematicians aren't usually satisfied with a few examples to convince themselves that something is always true.
Have you been able to provide an argument that would convince mathematicians?

Liz noticed that all the totals are a multiple of 3. She found it useful to draw a picture:
How did this help to convince Liz that three consecutive numbers always add up to a multiple of 3?
Charlie also noticed that all the totals were a multiple of 3. He thought about sets of numbers in a systematic way:

Charlie started with the three consecutive numbers 1, 2, 3. They add up to 6.

He added 1 to each, which gave him the next three consecutive numbers 2, 3, 4. They add up to 9.

He added 1 to each again, and ended up with 3, 4, 5. They add up to 12.
How did this help to convince Charlie that three consecutive numbers always add up to a multiple of 3?
If you have met algebra before, then you might like to look at Claire's method:

Claire decided to call the first number $n$.

The next two numbers are then equal to $n+1$ and $n+2$.

Claire added the three numbers to get $n+ n+1 + n+2 = 3n + 3$.

How did this help to convince Claire that three consecutive numbers always add up to a multiple of 3?
What happens when you add five consecutive numbers? Seven consecutive numbers? ...

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5, 6 and 7 are three consecutive numbers. They add up to 18. 14, 15 and 16 are also three consecutive numbers. They add up to 45. Take other sets of three consecutive numbers and find their total. What do you notice? Do the totals have anything in common?

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Number Lines in Disguise printable sheet - main problem
Number Lines in Disguise printable sheet - blank number lines

What do you notice about this number line?
What questions could you ask?

Click below to reveal some questions you might like to think about.

What number would be where the dot is?
How do you know?

Where would $0$ be on the line?

Often if a mathematician is stuck they might try an example with smaller numbers. Click below to reveal another example.

Consider the number line below.

Can you figure out what any of the other numbers are on the number line?

Where would $0$ be on this line?

What strategies did you use?

Below is an interactive number line. Can you work out what number is marked by the dot? Once you think you know, reveal the answer to check if you were right.

Explore the different number lines at different levels. Think about the strategies that you might use if you get stuck on the harder levels.

You could use this worksheet to create your own challenges.

What makes a challenge easier or harder?

We would love to hear about the strategies you used to figure out the missing numbers, and how you persevered and showed resilience if you got stuck!
You may be interested in the other problems in our Resilience and Perseverance Feature.

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Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

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Watch this silent video to see the game being played.
Can you work out the rules?

You need a partner, a $1$-$6$ dice and a grid like this;

Take turns to throw the dice and draw that number of dots in one of the boxes on the grid.

Put all of your dots in one of the boxes. You can't split them up and you can't have more than six dots in a box.

When a box is full, you could put a tick in the corner like this:

Keep going until there are three ticks in a row or column or diagonal. The winner is the person who puts the last tick.

How do you decide where to put your dots?

Now, can you change the game to make your own version?

Click here for a poster of this problem.

You may also like

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Dotty Six is a simple dice game that you can adapt in many ways.

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Digit addition (challenge/trick) - pattern

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Digit addition (challenge/trick) - pattern

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Here's a maths trick to try:

1. Think of one of the numbers from 1 to 9.

2. Add 9 to your number.

3. Add the digits of your answer together. What is your new number?

What do you notice?
Try the trick again with a new starting number. What do you notice now?

Jonas tried the trick with a few different numbers. He said:

I think you will always get back to your original number, because adding 9 is the same as adding 10 and subtracting 1.

Do you agree with Jonas? Can you help him explain what's happening?

Can you explain the trick in a different way?

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Here's a maths trick to try: Think of one of the numbers from 1 to 9. Add 9 to your number. Add the digits of your answer together. What is your new number? What do you notice? Try the trick again with a new starting number. What do you notice now?

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Sticky Triangles - patterns (identify rule)

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Sticky Triangles - patterns (identify rule)

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Number match - expressions and equations - team game

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Number match - expressions and equations - team game

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Number Match printable instruction sheet
This is one of a series of problems designed to develop learners' team working skills. Other tasks in the series can be found by going to this article.

What are you aiming to do?

For the task:

Every member of the team has to end up with a set of four cards in front of them that are related to each other in a similar way. The task is only successfully completed when everyone on the team has completed their set.

As a team:

Responding to the needs of others

Helping others to do things for themselves.

Getting started

You will need to work in a team of four. If you have a fifth person available - use them as an observer (see guidance below).

Distribute the 16 cards randomly amongst the team (four cards each).

Tackling the problem

How to play

Players pass cards to other team members in order to help one another complete their set.

Rules

No one can talk or give non-verbal signals to other members of the team.

Each member of the team starts with four cards in front of them.

The cards in front of each person should be visible to everyone.

Team members can only give cards; they cannot take cards from someone else.

Each team member must have at least two cards in front of them at all times.

Use an observer to check that the team obeys the rules and to keep a record of when members of the team help someone else (rather than, for example, when they just pass a piece on without looking at what the other person or team actually needs).

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A task which depends on members of the group noticing the needs of others and responding.

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You might like to try Through the Window before this challenge.

In a particular shop, the price of windows is calculated according to the area of glass used and the length of frame needed.

In the picture below, glass costs £10 for an area of one small square, plus £5 for every square edge of frame.

If we call the area of the glass A and the perimeter of the window P, how would you express the cost of the window in terms of A and P?

Use your formula to find pairs of rectangular windows that are different sizes but cost the same.

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creating and manipulating expressions and formulae

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You might like to try Through the Window before this challenge. In a particular shop, the price of windows is calculated according to the area of glass used and the length of frame needed. In the picture below, glass costs £10 for an area of one small square, plus £5 for every square edge of frame.

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Geometric Patterns: StudyJams! Math | Scholastic.com

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Solving problems is not always about numbers. Students will solve some fun geometric puzzles with this activity.

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Addition & Subtraction Equations: StudyJams! Math | Scholastic.com

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How do we solve for a variable in an equation? In this activity, students will learn to solve for variables in equations by using addition and subtraction.

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Multiplication and division equation games

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Multiplication and division equation games

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Multiplication and Division Equations: StudyJams! Math | Scholastic.com

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Multiplication and division can be used to solve for variables in equations. Students will learn to solve problems that will help them master these operations.

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Algebra: Missing Operations: StudyJams! Math | Scholastic.com

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There are four operations to try when a sign is missing: addition, subtraction, multiplication, or division. Students will solve problems by trying these.

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Outdoor Maths Activities KS2 - Teaching Maths Outside

I have put together some fun outdoor maths activities for KS2 to support teaching maths outside. Teaching maths outside is a wonderful way to explore different mathematical ideas and practice learning away from the classroom. It also exposes children to the use of maths in real, hands-on situations, and as well as to problem solve. Children need many opportunities to practice their learning in a range of different situations, in order to make connections and to build on their previous experiences. Building stronger connections helps children to develop a more secure understanding and to build confidence ( Haylock & Cockburn, 2017).

Outdoor Maths Activities KS2 - Teaching Maths Outside

I have grouped the activities based on different areas of learning. These activities are primarily aimed at children in KS2 children but can be adapted slightly depending on the children's ages and experiences. You may also want to see my posts, Outdoor Maths Activities KS1 and Outdoor Maths Activities EYFS.

Number & Place Value

Ones, tens, thousands & decimal places- Children can represent numbers to thousands (and even decimals) using hula hoops and beanbags. They can also use chalk to draw ones, tens, hundreds, thousands places, or sticks to create a number frame for this purpose. Similarly, rocks or other objects can be used to represent values in number frames. What number does this represent? What would you need to do to make 1 more? 10 more? What about 100 more?

Ones and tenths with sticks- When children are learning about decimals, they can also use number frames to represent values. A bundle of 10 sticks might represent 1 (whole), and 1 stick might represent .1 (tenth). That way, they can see how a whole is broken up into ten parts (1/10) to make .1. *It's helpful for children to show that .1 is the same as 1/10. How much is shaded? Can you show me in fractions? How would you write this as a decimal?

Arithmetic

Nim- Nim is a mathematical strategy game where two players take turns removing objects from a pile. Each player must take at least one item per turn. The goal is to either take or avoid taking the last object from the pile. Children can play nim with a pile of sticks or rocks. How many did you pick up? Can you figure out a strategy to win?

Nature skip counting - Children can practice and show visual counting by 2's, 3's, 4's, 5's, etc. by using natural objects. They may want to use a tens frame for support. E.g., nuts in pairs (2's), 3 leaf clover (3's), 4 leaf clover, flower with 5 petals, etc. They can count the blades on the leaves to help them do this. For example, maple and horse chestnut leaves have 5 blades each so these can be used to count in 5's. Buttercup and clover leaves have 3 blades so children can use them to count in 3's. It may be helpful to point out that skip counting is the same as repeated addition or multiplication. How many sets of 2 do you have? How much is that altogether? Can you make a number sentence (equation) to represent this?

Nature Arrays- Children can make arrays to calculate multiplication problems using pinecones, nuts, rocks, etc. Can you make an array to solve a multiplication problem? Can you make an array and then write a multiplication problem to go with it?

Nature Algebra - 4 leaves = 16, what does each leaf represent? Children can do outdoor chalk problems & code 'cracking'. What could you do to solve this problem? What type of arithmetic will you need to solve this?

Stick Fractions - Children can represent fractions by breaking apart sticks into pieces (half, thirds, quarters, etc.). Children can then see how the different the values of fractions look like relative to one another. Which is larger- 1/3 or 1/2? Can you show me? How many quarters make a half.

Nature fraction board- Children can create a 'fraction board' by drawing a shape (such as a square, rectangle, circle or triangle) that can be divided up in equal pieces (they could do halves, thirds, quarters, etc.). They might also use an old frying pan or baking tray filled with dirt or sand that is divided up by drawing lines or using sticks. Children can represent fractions by shading it in, by scraping it, covering it with objects etc. They can then use numbers to represent the corresponding fraction (and decimals) they have made. How much is shaded? Can you write this as a fraction? How would you write this as a decimal?

Decimals and fractions with tens frame- Children can use a tens frame to represent fractions and decimals. For example, using rocks, one rock could represent .1 or 1/10 so that 10 rocks = 1 whole. How many squares are covered? Can you write this in a fraction? Can you write this as a decimal?

**See my post, Outdoor Problem Solving Activities for KS2 (coming soon) for problems solving activities that involve arithmetic.

Measurement - Teaching Maths Outside

Volume & capacity

Potions- Children can use cylinders, measuring cups and other devices to measure ingredients for making 'potions'. They might also use weighing scales for ingredients such as nuts, pebbles, etc. Potion making is an opportunity to measure weight and volume/capacity. Can you follow the recipe? Can you create your own recipe? What if you add 15 more ml of water- how much will that be in total?

Displacement- Children can use measuring cylinders, beakers, or cups to explore how to measure the amount of displacement that results when objects are placed into them. They can find the difference between the original volume and the volume that results when the object is placed in the water. What is the volume of the object? How do you know? Can you write an equation to go with this (hint- use subtraction problem when finding the difference)? Do heavier objects always displace more water than lighter ones? How do you know?

Rain gauge- Children can measure rainfall using a rain gauge. What is the best unit of measurement? Meters, centimetres, or millimetres? Why? Can you keep track, and compare and chart rainfall on different days including using a bar chart? Can you figure out the total rainfall over a week, fortnight or month?

Exploring syringes with water play - Can you measure the capacity of the syringes? What instrument might you need to help you? Children can explore the relationship between the size/capacity of the syringe and the distance the water can squirt. How can this be measured?

Length & distance

Make a meter- Children can estimate 1 meter length by using natural objects (e.g. pinecones, sticks or rocks). They can then use a measuring stick or line to check their work.

Investigate length and weight- Is it true that the larger the pinecone is, the more that it weighs? Children can use scales to see if larger pinecones always weigh more than smaller ones. *They need to decide how to define large vs small (e.g. is it length, width or circumference)? Children could do a similar investigation with rocks or sticks.

Plant growth- Children can track the growth of plants. Which plant is growing the fastest? How do you know? Can you find the rate of growth? Can you show your data on a chart?

Finding the height of a tree- Challenge children to measure or calculate the size of a tree. There are several methods including the shadow & calculation method, triangle method or clinometer method. See if they can try several ways and compare their results.

Measuring jumps- Children can practice measuring how far they can jump to the nearest centimeter or even millimeter. They can figure out who jumps the farthest and by how much. They could find the difference between their jumps to see how much they improve. Who jumped the farthest? Who improved the most? How do you know?

Angles

Angle hunt- Children could also make a 'right angle' out of sticks or a piece of square plastic (preferably transparent). Then they can use their angle to identify objects that have right angles, and also identify objects that have angles greater than 90 degrees (obtuse) or less than 90 degrees (acute). Do right angles exist in nature? How do you know?

Measuring angles outdoors- Children might use a protractor to measure angles outdoors - e.g. angles of branches, the offshoots of plants, or manmade things such as parts of buildings. What's the smallest angle you can find? The largest? See the forest triangle activity below.

Stick angles- Children can compare angles with, their own angles made with sticks (demonstrating acute, right, or obtuse angles). Can you make a right angle? Acute? Obtuse? Can you measure it to find the angle?

Observing the moon & sun- These are some questions for observation, exploration and investigation: The time when the sun sets and rises- Does this change? How do you know? Where on the horizon do you first/last see the sun or the moon? Does this change from day to day? How do you know? Phases of the moon - How does it change? Do you notice any patterns? Children might make a sundial as part of their exploration.

Stone stacking - Children can make stone towers and even more intricate balancing formations such as arches. This activity is also an excellent way for older children to explore balance and centre of gravity.

Shape

Investigating Circles- Children can measure circles (such as flower pots, or tree stumps) or other circular objects found outside. They can measure the circumference, radius and diameter, and then investigate the relationship between diameter and circumference.

Large Sidewalk Chalk Shapes- Children can create a large shape (e.g. a square) with masking tape on the pavement. Next they can use masking tape to make other shapes within the larger shape. Finally, for fun they can colour colour in the shapes using sidewalk chalk to make a large picture. How many / what types of shapes have you made? Can you only make triangles? Why or why not? Can you prove it? What do you notice about your picture?

Forrest Triangles- Children can use ropes between trees in the forest to create triangles. They can measure and calculate perimeters and even explore the relationships between different triangles that they create. Can you change the shape of the triangle? How can you make a larger or smaller triangle? Can you make one with an obtuse or acute angle?

Egyptian Triangles- Ancient Egyptians made triangles with right-angles using ropes that were knotted into 12 equal lengths. With a 12 knotted rope, what triangles can you make? *With a knot in each corner, what other regular (equal sided and angled) shapes you can make?

Draw a circle- Challenge children to figure out how to draw an accurate circle outside (eg with chalk on pavement). What would you need to use to make it look terrific (ex. string)? Can you find a different way?

Data

Venn diagrams with hoops or circles drawn with chalk- Children can explore different variables. You may want to see my post doing this with leaves.

See above - Plant growth & rain gauge. Children can create data charts using their measurements of plants or rainfall.

I hope that these outdoor maths activities for KS2 have been helpful and that you get to enjoy teaching some maths lessons outside! Good luck!

References - Outdoor Maths Activities KS2 - Teaching Maths Outside
Haylock & Cockburn (2017). Understanding Mathematics for Young Children (5th ed.). SAGE Publications Ltd.

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Outdoor Maths Activities KS2 - Teaching Maths Outside - Play of the Wild

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I have put together some fun outdoor maths activities for KS2 to support teaching maths outside. Teaching maths outside is a wonderful way to explore different mathematical ideas and practice learning away from the classroom. It also exposes children to the use of maths in real, hands-on situations, and as well as to problem solve.

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Welcome to ictgames. Here you'll find free to play educational games aimed at children between 5 and 8 years old; written by a UK teacher with 20 years experience. The games are linked to the UK KS 1 and 2 curricula. Here are some help videos to get you started.

&nbsp Number - number and place value

&nbsp Number - addition & subtraction

&nbsp Number - multiplication & division

&nbsp Geometry - properties of shapes

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Free educational games aimed at children between 5 and 8 years old. Made by a UK teacher with 20 years of experience in education.

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Hit the Button

Quick fire questions on number bonds, doubling, halving, times tables, division facts and square numbers against the clock. Brilliant for improving mental maths and calculation skills, but particularly times tables either up to 10 or up to 12 times.

Subtraction Grids

Can you meet the challenge to see how many subtraction calculations you can do in two minutes? There are different levels and you can choose either one or two missing numbers to make your number sentence correct.

Mental Maths Train

Mental Maths Train is a maths game which focuses on the essential vocabulary of addition, subtraction, multiplication and division. A multiple choice game which can give children confidence in the four arithmetic operations.

Caterpillar Ordering

A flexible game for ordering numbers and for number sequences. Fantastic on an interactive whiteboard. Levels range from ordering and sequencing numbers to 5 up to decimals.

Rocket Rounding

A multiple choice game involving rounding numbers to ten, a hundred and to a whole number. There are two options, one with a number line and the other more difficult level, without one.

Multiples and Factors

A multiple choice game with two game modes. In the first you need to identify the Lowest Common Multiple and in the second the Highest Common Factor. Questions increase in difficulty depending on accuracy

Shape Patterns

Shape Patterns is a shapes sequencing game. Complete the pattern of different coloured 2D shapes. There are three levels of difficulty.

Teddy Numbers

The Teddy Numbers game can help you to learn numbers to 15. Learn the digits and words for the numbers and it game can help you learn to count too.

2D Shape Reveal

An interactive whiteboard resource to help with the teaching and learning of the names and properties of 2D shapes.

Arrow Cards

Build a two or three digit number using the cards. Click the button to see how it is written. This site can help children understand place value. It is suitable for use on an interactive whiteboard.

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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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Math Games – Free Online for Grades K–6 | Math Playground

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300+ free math games to build fluency and problem solving. Kid-safe, classroom-ready, no sign-in.

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"Sheppard offers everything from early math to pre-algebra. The lessons include interactive activities to practice concepts. Students can shoot fruit, pop balloons, and even play math man (the math version of pac man!). Fractions, place value, money, and basic operations are some of the areas that are covered. Check it out at https://www.sheppardsoftware.com/math.htm. "
--Shannon Jakeman , sjakeman.blogspot.com

"Online math games, like the ones that you'll find for free at Sheppard Software, provide a valuable opportunity for children to learn a great deal while they're having fun. The games at Sheppard Software are well written, interactive and very fun to play.

It can be very difficult for parents to find productive and worthwhile activities for children on the Internet; however fun online math games do offer a wonderful alternative.

This free section of Sheppard Software was written for children. Mostly all of the material you'll find at the site is completely free for kids to use. These fun online math games cover all of the math fundamentals, including early math, basic and mixed operations, fractions, pre-algebra, dollars & cents and place value. While teachers often use worksheets to solidify the math concepts learned in the classroom, these sort of games actually have the same educational impact on the child, and the format of the examples as an exciting game keeps the child engaged, interested and coming back for more.

From the main page parents or children will find a simple and easy to navigate menu featuring the different levels of math games and the various math concepts that are available. Children from pre-k up to 8th grade will find fun online math games that teach important math skills that are appropriate for their age level.

Sheppard Software offers a couple of cute games for the youngest math students. In this game, called Bugabaloo Addition, children are shown a number of "bug shoes" on the left and the right. The game asks the child to add the two groups of shoes together, and then pick the bug with the correct number printed on it. This game teaches addition through a graphical display that lets the child see and count the shoes. With the numbers right underneath, children easily make the association between the visual cues and the act of addition.

For slightly older kids, there are a number of very popular arcade-style "popup" math games. In these games, the child is presented with a math problem and must find the creature that's holding the correct answer and smack it on the head with the hammer. The comical expression the creature makes and the sound effects make this game so fun that children will forget that they're learning math! "
--Written March 30, 2010 by Ryan Dube in Educational Freeware -- Reviews of the best learning games, software, and websites --http://www.educational-freeware.com/online/sheppard-math.aspx

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Teacher tools - IWB tools (like timer, fraction chart, hundred sq etc)

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Teacher tools - IWB tools (like timer, fraction chart, hundred sq etc)

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Toy Theater is your source for free educational games specially designed for elementary-aged students. It's available on all desktop computers, tablets, and mobile devices, ensuring learning is never out of reach. If you are a fan of our site, we encourage you to share Toy Theater on your social media or website.

Explore Toy Theater

Here's a sneak peek into what Toy Theater has in store:

Math Games: Ranging from counting and numeral recognition to division and telling time, there's a vast assortment of interactive math games.

Language Arts: Students can work on spelling, letter recognition, and even practice reading with online books.

Art and Music : From teaching students to play simple songs on a keyboard to exploring symmetry via art games, the platform fosters creativity alongside learning.

Puzzles and Games: Ideal for early finishers or indoor recess, their online educational puzzles and games promise fun-filled learning.

Teacher Tools: Need a fun timer or a spinner? Or perhaps a simple way to evaluate basic math skills? Their virtual teacher tools have got you covered.

Whether you project Toy Theater games and interactive tools on your smartboard for the whole class to see or use them during small group work, you're sure to love them!

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Toy Theater | Fun Online Educational Games for Kids

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Make learning a blast! Toy Theater is chock full of interactive online art, reading & math games for kids. Designed with the needs of kindergarten through third grade classrooms in mind, these free games are trusted by teachers around the world to provide real educational value.

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Toy Theater is your source for free educational games specially designed for elementary-aged students. It's available on all desktop computers, tablets, and mobile devices, ensuring learning is never out of reach. If you are a fan of our site, we encourage you to share Toy Theater on your social media or website.

Explore Toy Theater

Here's a sneak peek into what Toy Theater has in store:

Math Games: Ranging from counting and numeral recognition to division and telling time, there's a vast assortment of interactive math games.

Language Arts: Students can work on spelling, letter recognition, and even practice reading with online books.

Art and Music : From teaching students to play simple songs on a keyboard to exploring symmetry via art games, the platform fosters creativity alongside learning.

Puzzles and Games: Ideal for early finishers or indoor recess, their online educational puzzles and games promise fun-filled learning.

Teacher Tools: Need a fun timer or a spinner? Or perhaps a simple way to evaluate basic math skills? Their virtual teacher tools have got you covered.

Whether you project Toy Theater games and interactive tools on your smartboard for the whole class to see or use them during small group work, you're sure to love them!

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Toy Theater | Fun Online Educational Games for Kids

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Make learning a blast! Toy Theater is chock full of interactive online art, reading & math games for kids. Designed with the needs of kindergarten through third grade classrooms in mind, these free games are trusted by teachers around the world to provide real educational value.

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Hands-On Math Goes Digital In and Beyond the Classroom!

Explore Our Collection of FREE Virtual Manipulatives

From Number Lines to Base Ten, Pattern Blocks to Place Value, Disks our collection of free Virtual Manipulatives gives educators and families access to visual and hands-on digital resources that lead to understanding. Students can use these resources in class and at home to practice math concepts, reinforce their growing math understanding, technology they love in the process.

Free Resources & Instructions for Teachers and Families

We've developed these resources for easy access and easy use:

How-To Videos

There's a short video for each of the Virtual Manipulatives in our collection so teachers can use these digital materials easily and confidently with students.
Watch Now

Activities

Activities from the Didax books that teachers use most for easy download. Engaging challenges address core math operations, concepts and skills, from early numeracy all the way to introductory geometry and algebra.
Access Now

FAQ

Download this document of FAQ's to answer your Virtual Manipulative questions.
Download Now

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Demonstrate key math concepts in your classroom using our new virtual manipulatives!

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Mathigon - Shape - polypad, activities, lessons, sequences, origami, symmetry, flash cards 

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Mathigon - Shape - polypad, activities, lessons, sequences, origami, symmetry, flash cards 

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Discover Mathigon, the Mathematical Playground. Learning mathematics has never been so interactive and fun!

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Maths manipulatives - square paper, dienes blocks, coins, everything needed for maths

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Maths manipulatives - square paper, dienes blocks, coins, everything needed for maths

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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.
Watch the video to learn how sharing works.

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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.

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Math - Worksheets, explanations, tutorials

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Math - Worksheets, explanations, tutorials

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Math explained in easy language, plus puzzles, games, worksheets and an illustrated dictionary. For K-12 kids, teachers and parents.

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Math manipulatives - Fraction, decimal, %, time, fraction wall, angles, clocks, timer

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Math manipulatives - Fraction, decimal, %, time, fraction wall, angles, clocks, timer

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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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The teaching resources here are ones commonly known as manipulatives. They are designed to help teachers conduct lessons with children. Each manipulative can generate many examples at the touch of a button and answers can be be explained and entered using intuitive interactions with the on-screen content.

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The teaching resources here are ones commonly known as manipulatives. They are designed to help teachers conduct lessons with children. Each manipulative can generate many examples at the touch of a button and answers can be be explained and entered using intuitive interactions with the on-screen content.

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Here are three 'tricks' to amaze your friends.

But the really clever trick is explaining to them why these 'tricks' are maths and not magic. Like all good magicians, you should practise by trying them. Can you explain how they work?

This trick will impress even your maths teacher.

Think of a number.

Double it.

Add $10$.

Halve it.

Take away you original number.

Is your answer $5$?

Try this with a different starting number. Did you get a different result? Why does this happen?
Write the answer on a piece of paper without letting anybody see it and seal it in an envelope. Have somebody hold the envelope and at the end ask them to open it and reveal the number you wrote at the beginning. Wow, Magic!

Guess how much money people have in their pockets!

Without giving you any information, ask a friend to count the value of some coins and write the amount on a piece of paper. Then ask your friend to:

Double the amount.

Add the first odd prime number to the new total.

Multiply the result by 1/4 of 20.

Subtract the lowest common multiple of 2 and 3.

For the grand finale, you ask for the final answer. Take off the last digit and you will be able to work out how much the coins are worth!

Amaze your audience by working out not only their age but also what size shoe they wear! Wow them even more by telling them how the maths works.

Give them the following directions but tell them not to show you any calculations:

Write down your age.

Multiply it by 1/5 of 100.

Add on today's date (e.g. 2 if it's the 2nd of the month).

Multiply by 20% of 25.

Now add on your shoe size (if it's a half size round to a whole number).

Finally subtract 5 times today's date.

Show me you final answer!

Look at the answer, the hundreds are the age and the remaining digits are the shoe size. If for instance somebody shows you 1105, there are 11 hundreds - the age, and the remaining digits 05 (or 5) show the shoe size.
Now, how on earth does that work?

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creating and manipulating expressions and formulae

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Here are three 'tricks' to amaze your friends. But the really clever trick is explaining to them why these 'tricks' are maths not magic. Like all good magicians, you should practice by trying them. Can you explain how they work?

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The Deca Tree printable sheet
In the forest there is a Deca Tree.
A Deca Tree has 10 trunks,

and on each trunk there are 10 branches,

and on each branch there are 10 twigs,

and on each twig there are 10 leaves:

One day a woodcutter came along and cut down one trunk from the tree.
Then he cut off one branch from another trunk of the tree.
Then he cut off one twig from another branch.
Finally he pulled one leaf from another twig.

How many leaves were left on the tree then?
How did you work out the solution?

Click here for a poster of this problem.

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Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

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Find a partner and a 0-9 dice. The interactivity here can be used to simulate throwing different dice.

Each of you draw some cells that look like the picture below. (You don't have to make the cells on the left a different colour, but we will refer to those cells later.) Alternatively, you could print off this sheet of cells.
Version 1
Take turns to throw the dice. After each throw of the dice, you each decide which of your cells to put that number in.

Throw the dice eight times until all the cells are full and you have created four two-digit numbers.

If both of your number sentences are correct, you score a total of the two numbers written in the four blue boxes.

If only the first number sentence is correct, then you score points equal to the number in the top two blue boxes. If only the second number sentence is correct, you score points equal to the number in the bottom two blue boxes.

The winner is the person with the greatest number of points.

Play the game several times so you get a good feel for it.
What do you notice?
Do you have any good strategies for winning?
How could you give advice to someone else before they play if you don't know what digits they might roll?
Version 2
Now, work with your partner, rather than against them.
If the eight numbers thrown are 5, 2, 8, 4, 1, 5, 1 and 9, and you are allowed to put them in the cells once all eight are known, where would you place them in order to get the highest possible score? How do you know this will give the highest score?

We would love to hear about your 'noticings' and strategies for playing the competitive game, as well as your solutions for the final part. Please do share your thinking!

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Find a partner and a 0-9 dice. The interactivity here can be used to simulate throwing different dice. Each of you draw some cells that look like the picture below. (You don't have to make the cells on the left a different colour, but we will refer to those cells later.)

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Round the Three Dice printable sheet
There are three dice, each of them with faces labelled from 1 to 6.
When the dice are rolled they can be combined in six different ways to make a three-digit number.

For example, if I roll a 2 and a 4 and a 5, I can combine them to make 245, 254, 425, 452, 524 or 542.

Now round each of these numbers to the nearest 100:
245 rounds to 200, 254 rounds to 300, 425 rounds to 400, 452 rounds to 500, 524 rounds to 500 and 542 rounds to 500.

Repeat for other rolls of the dice.

Can each of the six numbers round to the same multiple of 100?
Can each of the six numbers round to a different multiple of 100?

There are some interactive dice that you can use for this problem.

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What happens when you round these three-digit numbers to the nearest 100?

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

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You have two sets of the digits from $0$ to $9$.

The idea is to arrange these digits in the five boxes to make four-digit numbers as close to the target number as possible.
You may use each digit once only.

You might like to use this interactive to try out some of your ideas:

This activity has been adapted from one of BEAM's free Maths of the Month resources, which unfortunately are no longer available. You can play it as a game against a friend using this sheet from BEAM.

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You have two sets of the digits from $0$ to $9$. The idea is to arrange these digits in the five boxes to make four-digit numbers as close to the target number as possible. You may use each digit once only.

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Largest even - number challenge - place value

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Largest even - number challenge - place value

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How would you create the largest possible two-digit even number from the digit I’ve given you and one of your choice?

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Five Steps to 50 printable sheet
This challenge is about counting on and back in steps of 1, 10 and 100.

Roll a dice twice to establish your starting number - the first roll will give you the tens digit and the second roll will give you the units digit.
You can then make five jumps to get as close to 50 as possible.
You can jump forwards or backwards in jumps of 1 or 10 or 100.

Compare your strategy with a friend.
Did you jump forwards or backwards?
Can you land on 50 exactly?
How far from 50 were you?
Could you do it another way?
Could you get even closer?
Which numbers can get you to 50?
Which can't?

Roll the dice again and have another go!

For example:
I roll a dice and get a 2 then a 3, so my starting number is 23.
I make the following jumps to get as close to 50 as possible:
Starting number is 23
Jump one is +10 to get me to 33
Jump two is +10 to get me to 43
Jump three is +10 to get me to 53
Jump four is -1 to get me to 52
Jump five is -1 to get me to 51

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Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

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What's in a name - letter, number correspondences - what does your name equal. Place value

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What's in a name - letter, number correspondences - what does your name equal. Place value

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What's in a Name printable sheet
Jim and Jan were having a chat about their names.

Jim said his name began with J and Jan said hers did too.

Jim said his name had three letters and Jan said hers did too.

Jim said his name had one vowel and Jan said hers did too.

Jim said his was 1 9 4

Jan said hers was 1 1 5

Can you see why?

What about your name?

What letter does it begin with?

How many vowels does it have?

If you used Jim and Jan's code, what numbers would your name give?

Can you match each of these names to its code?

Here's a set of letter cards you could cut out and use.

You may also like

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Here's a very elementary code that requires young children to read a table, and look for similarities and differences.

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Sea Level printable sheet
What can you see in this picture? You can click on it to make it bigger if you would like a closer look.

There are black markings all the way up the lighthouse right to the very top, and on the rock that the lighthouse is built on, going down to the sea bed. These markings are 1 metre apart.

We will call sea level '0' and then we could think of the lines as representing positive numbers going upwards and negative numbers going down to the sea bed.

In this task, we are going to look at where the mouths of each of the different animals are. This will allow us to see how deep they are compared to each other, or what distance apart they are.

For example, the seahorse's mouth is 1 metre deeper than the mouth of the blue and yellow fish.

Have a think about these questions, or you might like to make up some of your own:

1. What number should be where the head of the seagull is?

2. What number should be where the mouth of the crab is?

3. How far up is it from the head of the shrimp to the mouth of the shark?

4. How far from the surface is the eel's mouth?

5. How high above the sea level is the seagull's beak?

6. How much higher is the seagull's beak than the seahorse's mouth?

How did you arrive at your answers? Did you write anything down to help you?

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The picture shows a lighthouse and some underwater creatures. Can you work out the distances between some of the different creatures?

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Are you curious about numbers? Can you use your mathematical skills to find some solutions to the problems below?

Can you order the digits 1, 2 and 3 to make a number which is divisible by 3?
And when the final digit is removed again it becomes a two-digit number divisible by 2,
then finally a one-digit number divisible by 1?

Can you order the digits 1, 2, 3 and 4 to make a number which is divisible by 4?
And when the final digit is removed it becomes a three-digit number which is divisible by 3.
And when the final digit is removed again it becomes a two-digit number divisible by 2,
then finally a one-digit number divisible by 1?

Can you order the digits 1, 2, 3, 4 and 5 to make a number which is divisible by 5?
And when the final digit is removed it becomes a four-digit number which is divisible by 4.
And when the final digit is removed it becomes a three-digit number which is divisible by 3.
And when the final digit is removed again it becomes a two-digit number divisible by 2,
then finally a one-digit number divisible by 1?

What systems are you using?
What do you know about numbers which can be divided by 3, 4, 5?
Now what about taking this further for digits 1, 2, 3, 4, 5, and 6?
What do you know about numbers which can be divided by 6, 7, 8 and 9?

You might now like to have a go at the problem Dozens.

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Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

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Countdown game by James Stanley. Design by Dave McDermid.

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This game follows on from Nice and Nasty. You might like to try Dicey Addition before playing this game.

Again, there are several games to choose from.

Find a partner and a 1-6 dice, or preferably a 0-9 dice if you have one. The interactivity in Dice and Spinners can be used to simulate throwing different dice.

Take turns to throw the dice and decide which of your cells to fill.
This can be done in two ways: either fill in each cell as you throw the dice, or collect all your numbers and then decide where to place them.

Game 1

Each of you might draw an addition layout like this:

Throw the dice nine times each until all the cells are full.

Whoever has the sum closest to 1000 wins.

There are two possible scoring systems:

A point for a win. The first person to reach 10 wins the game.

Each player keeps a running total of their "penalty points", the difference between their result and 1000 after each round. First to 5000 loses.

You can vary the target to make it easier or more difficult.

Game 2

Each of you might draw a subtraction layout like this:

Throw the dice eight times each until all the cells are full.

Whoever has the difference closest to 1000 wins.

There are two possible scoring systems:

A point for a win. The first person to reach 10 wins the game.

Each player keeps a running total of their "penalty points", the difference between their result and 1000 after each round. First to 5000 loses.

You can vary the target to make it easier or more difficult, perhaps including negative numbers as your target.

Game 3

Each of you might draw a multiplication layout like this:

Throw the dice four times each until all the cells are full.

Whoever has the product closest to 1000 wins.

There are two possible scoring systems:

A point for a win. The first person to reach 10 wins the game.

Each player keeps a running total of their "penalty points", the difference between their result and 1000 after each round. First to 5000 loses.

You can vary the target to make it easier or more difficult.

Game 4

Each of you might draw a multiplication layout like this:

Throw the dice five times each until all the cells are full.

Whoever has the product closest to 10000 wins.

There are two possible scoring systems:

A point for a win. The first person to reach 10 wins the game.

Each player keeps a running total of their "penalty points", the difference between their result and 10000 after each round. First to 10000 loses.

You can vary the target to make it easier or more difficult.

You could introduce a decimal point. The decimal point could take up one of the cells so the dice would only need to be thrown four times by each player. You will need to decide on an appropriate target.

Game 5

Each of you might draw a division layout like this:

Throw the dice five times each until all the cells are full.

Whoever has the answer closest to 1000 wins.

There are two possible scoring systems:

A point for a win. The first person to reach 10 wins the game.

Each player keeps a running total of their "penalty points", the difference between their result and 1000 after each round. First to 5000 loses.

You can vary the target to make it easier or more difficult.

Game 6

Each of you might draw a division layout like this:

Throw the dice six times each until all the cells are full.

Whoever has the answer closest to 100 wins.

There are two possible scoring systems:

A point for a win. The first person to reach 10 wins the game.

Each player keeps a running total of their "penalty points", the difference between their result and 100 after each round. First to 500 loses.

You can vary the target to make it easier or more difficult.

You may like to make use of this Score Sheet

Click here for a poster of this problem.

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This game follows on from Nice and Nasty. You might like to try Dicey Addition before playing this game. Again, there are several games to choose from. Find a partner and a 1-6 dice, or preferably a 0-9 dice if you have one. The interactivity in Dice and Spinners can be used to simulate throwing different dice.

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How many dots?

How did you count them?

What about your friends, how did each of them count the dots?

Ask your teacher for some other pictures of dots for you to count and share ideas about how you counted them.

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How many dots? How did you count them? What about your friends, how did each of them count the dots? Ask your teacher for some other pictures of dots for you to count and share ideas about how you counted them.

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You might like to try A Ring of Numbers and More Rings of Numbers before this problem.

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. (You must use each of the numbers once.)

Can you find some other ways to do this? Explain how you do this.

Can you put the numbers in the squares so that the difference between joined squares is even?
Explain your answer.

What general statements can you make about odd and even numbers?

This problem is based on an idea taken from "Apex Maths Pupils' Book 2" by Ann Montague-Smith and Paul Harrison, published in 2003 by Cambridge University Press.

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You might like to try A Ring of Numbers and More Rings of Numbers before this problem. Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. (You must use each of the numbers once.) Can you find some other ways to do this?

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This problem has been designed to work on in a group of about four. For more details about how you might go about doing this, please read the Teachers' Resources.

You are organising a school trip and you need to write a letter to parents to let them know about the day.

You will need to print off and cut out these cards: Word or pdf.

Share the cards out between the members of the group.

In your group read through the cards and find the one that describes in more detail what you have to do. You may find that some of the information on the cards is irrelevant!

We would love to see the letters that you write, so please send them in and describe how you tackled the activity.
This activity is taken from the ATM publication "We Can Work It Out!", a book of collaborative problem solving activity cards by Anitra Vickery and Mike Spooner. It is available from The Association of Teachers of Mathematics.

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This problem has been designed to work on in a group of about four. For more details about how you might go about doing this, please read the Teachers' Resources. You are organising a school trip and you need to write a letter to parents to let them know about the day.

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I have fifteen cards numbered $1 - 15$.

I put down seven of them on the table in a row.

The numbers on the first two cards add to $15$.
The numbers on the second and third cards add to $20$.
The numbers on the third and fourth cards add to $23$.
The numbers on the fourth and fifth cards add to $16$.
The numbers on the fifth and sixth cards add to $18$.
The numbers on the sixth and seventh cards add to $21$.

What are my cards?

Can you find any other solutions?

How do you know you've found all the different solutions?

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Can you use the information to find out which cards I have used?

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New Primary Mathematics Toolkit | Interactive Addition Chart

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New Primary Mathematics Toolkit | Fraction wall

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What Distance? printable sheet
Here are the distances (as the crow flies) in kilometres from London to various cities in the world:

Challenge 1

Once you have travelled the first 1000km, how much further will you have to go for each of the twelve journeys?
Rather than actually performing each calculation, could you say which you think will be the most difficult and which will be the easiest, and why?

Now create some similar questions of your own.

Challenge 2

The distance from Copenhagen to London is approximately 1000km. If you always start at Copenhagen before travelling to London for all of the journeys shown above, how far would you travel in each case?

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Can you use addition and subtraction to answer these questions about real-life distances?

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Approaching midnight - time strategy game

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Approaching midnight - time strategy game

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Here's a strategy game with lots to explore. Can you find out enough to guarantee a win, no matter what the settings? This game is part of our creativity project, which you can read more about here.

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Here's a strategy game with lots to explore. Can you find out enough to guarantee a win, no matter what the settings? This game is part of our creativity project, which you can read more about here.

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New Primary Mathematics Toolkit | Travel Timetable

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New Primary Mathematics Toolkit | Protractor

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New Primary Mathematics Toolkit | Protractor

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New Primary Mathematics Toolkit | Money (Euros)

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This is one of a series of problems designed to develop learners' team working skills. Other tasks in the series can be found by going to this article.

What are you aiming to do?

For the task:

The team has to recreate the row of counters (created by the designer) by asking as few questions as possible.

As a team:

Listening and finding out what others think

Giving reasons for ideas

Pulling ideas together

Finding out whether the group is ready to make a decision.

Getting started

You will be working in a team of four or five. You will need two sets of counters. The image above uses 6 counters of 3 different colours. You might wish to start with just two colours until you have some experience of the task.

Choose someone in the group to be the designer. If you try this task more than once, team members should take turns at playing this role.

Give one set of counters to the designer and the other identical set to the rest of the team.

You may also wish to choose someone to be the observer (a really good idea if there are more than four people in the team).

Tackling the problem

Without the rest of the group seeing, the designer creates a line of counters using some or all of the counters available.

Using the rules for asking questions, and checking that they all agree first, members of the team take turns to ask the designer questions that will help them recreate the line of counters.

When all of the team think they have the correct design they can check with the designer and the task ends.

At the end, the observer gives feedback about the way members of the team worked together, highlighting strengths and ways that they could improve next time. The team discuss the feedback and how they think they worked.

Task Rules:

You must agree any question before asking the designer.

The team can only ask questions of the type listed in the rules.

The team members must take turns in asking questions.

The designer can only answer "Yes", "No" or give a number.

Try to find the pattern using as few questions as possible.

Designer guidelines:

You do not have to use all the counters.

The counters should form a line.

You can only say "Yes" or "No", or give a number as an answer.

You must only answer questions of the agreed format.

You only answer a question if the team has discussed and agreed it first.

Team question rules:

The team can ask questions about:

the number of counters,

the number of counters of each colour,

the colours of touching counters,

the symmetry properties of the design,

the colours, or numbers, of counters to the left or right of a counter.

You cannot ask about the position and colour of a particular counter, for example:

"Is the first counter red?",

"Is the second counter yellow?"

You can ask questions like:

"Is the counter to the left of the red counter green?".

Observer Guidelines:

identify the times when reasons for ideas are given by members of the team,

check that everyone agrees before a question is asked,

check that the questions fit those allowed in the rules,

check that members of the team take it in turns to ask questions,

count the number of questions the team asks.

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This is one of a series of problems designed to develop learners' team working skills. Other tasks in the series can be found by going to this article. For the task: The team has to recreate the row of counters (created by the designer) by asking as few questions as possible.

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These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

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Can you cover the picture of the camel with pieces shaped like this?

You may like to print off and cut out the camel and pieces from these sheets.

Please let us know how you completed the camel and send in pictures of him/her completely covered!
This activity originally featured in the hands-on Brain Buster Maths Boxes, developed by members of the NRICH Team and produced by BEAM. These resources are out of print but can still be found on Amazon.

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Can you cover the picture of the camel with pieces shaped like this? You may like to print off and cut out the camel and pieces from these sheets. Please let us know how you completed the camel and send in pictures of him/her completely covered!

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Treasure Hunt printable sheet
Printable grids

Can you find the hidden treasure?

The treasure has been hidden somewhere on this beach, where the grid lines intersect (cross).

Input coordinates to help find the treasure with the fewest guesses. The interactivity gives you the shortest distance you'd have to travel (along the grid lines) to reach the treasure.

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

You may also like

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

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Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

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Here are four cubes joined together:

We can draw this arrangement of cubes on dotty paper (isometric paper) which gives us a way of drawing 3D objects more easily:

How many other arrangements of four cubes can you find?

Can you draw them on dotty paper? It's more difficult than it looks!

If you don't have any isometric paper, click here.

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Here are four cubes joined together: We can draw this arrangement of cubes on dotty paper (isometric paper) which gives us a way of drawing 3D objects more easily: How many other arrangements of four cubes can you find? Can you draw them on dotty paper? It's more difficult than it looks!

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Pintable resources - dotty grids, number grids, venn diagrams, number cards, circle template, dominoes

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Pintable resources - dotty grids, number grids, venn diagrams, number cards, circle template, dominoes

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You may be interested in our large collection of .

This page collects together the generic printable resources like dotty grids and number grids that are useful for many problems.

Our resources often have specific printable worksheets to accompany them; these can be found on the teachers' resource page for each individual problem.

Number grids

Venn Diagrams

Number Cards

Circle templates

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This page collects together the generic printable resources like dotty grids and number grids that are useful for many problems. Our resources often have specific printable worksheets to accompany them; these can be found on the teachers' resource page for each individual problem.

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Here are the six faces of a cube - in no particular order:

Here are three views of the cube:

Can you deduce where the faces are in relation to each other and record them on the net of this cube?

You might like to use this interactivity to keep track of your thinking. You can drag the picture of each face onto the net.

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Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

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This feature explores how teachers can harness the power of curiosity by using some tasks that may cause children to wonder!

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This interactivity allows you to sort logic blocks by dragging their images.

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What different types of triangle can you think of?

See how many you can name, then click on the buttons below to find out what some other children have said.

Edd said:

"There are four types of triangle: equilateral, isosceles, scalene and right-angled."

Fleur said:

"There are only three types of triangle. These are equilateral, isosceles and scalene. Right-angled triangles don't count because all right-angled triangles are also isosceles or scalene triangles."

Harmony said:

"You can name a triangle using either the sides or the angles of the triangle. Using the sides, you can have equilateral, isosceles and scalene triangles. Using the angles, you get right-angled, acute or obtuse triangles."

Which of these children do you agree with? Why?

We normally name triangles by thinking about the lengths of the sides, but in this activity we will also be naming triangles using their angles. How could we do this? What do you think an 'acute triangle' or an 'obtuse triangle' might look like?

Have a look at the grid below.

This grid is to help us think about different properties of triangles. For example, a triangle drawn in the box at the top on the left, should be able to be described as both acute (when thinking about its angles) and equilateral (when thinking about its sides).

Look at each space on the grid and try to sketch some different triangles to go in the box.
Can you sketch a triangle for every box in the grid? Why/why not?

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What different types of triangle can you think of? See how many you can name, then click on the buttons below to find out what some other children have said. Edd said: "There are four types of triangle: equilateral, isosceles, scalene and right-angled." Fleur said: "There are only three types of triangle.

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This game, for two players, is based on the popular game ' Guess Who?'.

Each player needs:

a printed copy of these sheets, cut up into individual cards, each one picturing a 3D shape

a printed copy of this single sheet, showing all the 3D shapes

a pencil.

The aim of the game is to guess which shape your partner has chosen before they guess the shape you have chosen.
How to play:

1. Each player chooses one of the shapes on the single sheet and marks it somehow, for example using a pencil tick. (If the sheet is laminated, you could use a whiteboard pen.) This is the shape that your opponent is trying to guess.

2. Each player lays out all their cards face-up in front of them.

3. Player 1 asks player 2 a question to try to find out information about the shape player 2 has chosen. Player 2 can only answer yes or no in response.

4. Based on player 2's answer, player 1 turns face-down any shape cards that they now know can't have been chosen by player 2.

5. Player 2 now asks player 1 a question in a simillar way.

6. The winner is whichever player finds out their opponent's shape first.

Try playing the game lots of times. What questions are the 'best' to ask in order to find out your opponent's shape before they guess yours? Why are they good questions?
We would love to hear about the questions that work well for you!

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This game, for two players, is based on the popular game ' Guess Who?'. Each player needs: a printed copy of these sheets, cut up into individual cards, each one picturing a 3D shape a printed copy of this single sheet, showing all the 3D shapes a pencil.

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Where are they - Find polygons on isometric grid paper

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Where are they - Find polygons on isometric grid paper

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Use the isometric grid paper to find the different polygons.

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The net of a cube has been cut into two. It could be put together in several ways so that it could be folded into a cube.

Here are the nets of $9$ solid shapes. Each one of these has been cut into $2$ pieces, like the net of the cube.

Can you see which pieces go together?

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The net of a cube has been cut into two. It could be put together in several ways so that it could be folded into a cube. Here are the nets of $9$ solid shapes. Each one of these has been cut into $2$ pieces, like the net of the cube.

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You might like to try Transformations on a Pegboard before looking at this problem. Here are some ideas to take this activity some stages further.

You may like to use this interactive pegboard to try out your ideas. Read underneath the interactivity for the challenges!

Choose the size of your pegboard then select the line tool and click on two dots to draw a line between them.

One of the challenges was, 'By moving just one peg can you make a right-angled triangle?'. Well, I had a go starting the same way:

Here are two I found moving one peg each time (from the original):

And so on and so on ...
How many different right-angles triangles can you get if you stick to a grid of $7$ rows of dots and $9$ columns of dots?

The triangle started off having a base of $6$ and was $3$ high.
Look at the other triangles you have found that have this same base and height.
What can you say about the areas of this set of triangles?
(You might like to draw some more triangles with a base of $6$ and a height of $3$ which don't have right angles to see what that adds to your thoughts and ideas.)

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Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

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Skip to main content

search

You might like to try Transformations on a Pegboard before looking at this problem. Here are some ideas to take this activity some stages further.

You may like to use this interactive pegboard to try out your ideas. Read underneath the interactivity for the challenges!

Choose the size of your pegboard then select the line tool and click on two dots to draw a line between them.

One of the challenges was, 'By moving just one peg can you make a right-angled triangle?'. Well, I had a go starting the same way:

Here are two I found moving one peg each time (from the original):

And so on and so on ...
How many different right-angles triangles can you get if you stick to a grid of $7$ rows of dots and $9$ columns of dots?

The triangle started off having a base of $6$ and was $3$ high.
Look at the other triangles you have found that have this same base and height.
What can you say about the areas of this set of triangles?
(You might like to draw some more triangles with a base of $6$ and a height of $3$ which don't have right angles to see what that adds to your thoughts and ideas.)

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Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

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Here is a grid:

Can you position these ten letters in their correct places according to the eight clues below?

Clues:

The letters at $(1, 1),$ $(1, 2)$ and $(1, 3)$ are all symmetrical about a vertical line.

The letter at $(4, 2)$ is not symmetrical in any way.

The letters at $(1, 1),$ $(2, 1)$ and $(3, 1)$ are symmetrical about a horizontal line.

The letters at $(0, 2),$ $(2, 0)$ have rotational symmetry.

The letter at $(3, 1)$ consists of just straight lines.

The letters at $(3, 3)$ and $(2, 0)$ consist of just curved lines.

The letters at $(3, 3),$ $(3, 2)$ and $(3, 1)$ are consecutive in the alphabet.

The letters at $(0, 2)$ and $(1, 2)$ are at the two ends of the alphabet.

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Use the clues about the symmetrical properties of these letters to place them on the grid.

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New Primary Mathematics Toolkit | Counters