# Resources tagged with: Describing patterns and sequences

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### There are 67 results

Broad Topics > Patterns, Sequences and Structure > Describing patterns and sequences

### All Seated

##### Age 7 to 11Challenge Level

Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?

### Lost Books

##### Age 7 to 11Challenge Level

While we were sorting some papers we found 3 strange sheets which seemed to come from small books but there were page numbers at the foot of each page. Did the pages come from the same book?

### Calendar Patterns

##### Age 7 to 11Challenge Level

In this section from a calendar, put a square box around the 1st, 2nd, 8th and 9th. Add all the pairs of numbers. What do you notice about the answers?

### Amazing Alphabet Maze

##### Age 5 to 7Challenge Level

Can you go from A to Z right through the alphabet in the hexagonal maze?

### Magazines

##### Age 7 to 11Challenge Level

Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.

### Polygonals

##### Age 7 to 11Challenge Level

Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here.

### Bundles of Cubes

##### Age 7 to 11Challenge Level

Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?

### Exploring Wild & Wonderful Number Patterns

##### Age 7 to 11Challenge Level

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

### Function Machines

##### Age 7 to 11Challenge Level

If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?

### Centred Squares

##### Age 7 to 11Challenge Level

This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.

### So It's 28

##### Age 5 to 7Challenge Level

Here is your chance to investigate the number 28 using shapes, cubes ... in fact anything at all.

##### Age 7 to 11Challenge Level

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?

### Next Number

##### Age 7 to 11 ShortChallenge Level

Find the next number in this pattern: 3, 7, 19, 55 ...

### Taking a Die for a Walk

##### Age 5 to 11Challenge Level

Investigate the numbers that come up on a die as you roll it in the direction of north, south, east and west, without going over the path it's already made.

### Caterpillars

##### Age 5 to 7Challenge Level

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?

### A Shapely Network

##### Age 7 to 11Challenge Level

Your challenge is to find the longest way through the network following this rule. You can start and finish anywhere, and with any shape, as long as you follow the correct order.

### Sticky Triangles

##### Age 7 to 11Challenge Level

Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?

### Extending Great Squares

##### Age 7 to 11Challenge Level

Explore one of these five pictures.

### Month Mania

##### Age 5 to 11Challenge Level

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?

### Sending Cards

##### Age 7 to 11Challenge Level

This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?

##### Age 7 to 11Challenge Level

Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.

### Pebbles

##### Age 7 to 11Challenge Level

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

### Sept03 Sept03 Sept03

##### Age 7 to 11Challenge Level

This number has 903 digits. What is the sum of all 903 digits?

### Diagonal in a Spiral

##### Age 7 to 11Challenge Level

Investigate the totals you get when adding numbers on the diagonal of this pattern in threes.

### Sorting the Numbers

##### Age 5 to 11Challenge Level

Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?

### More Number Patterns Lower Primary

##### Age 5 to 7

These lower primary activities offer opportunities for children to create, recognise and extend number patterns.

### More Pebbles

##### Age 7 to 11Challenge Level

Have a go at this 3D extension to the Pebbles problem.

### More Number Patterns Upper Primary

##### Age 7 to 11

These upper primary activities offer opportunities for children to recognise, extend and explain number patterns.

### Pattern Sniffing

##### Age 5 to 11

This article for primary teachers outlines how we can encourage children to create, identify, extend and explain number patterns and why being able to do so is useful.

### Domino Sets

##### Age 7 to 11Challenge Level

How do you know if your set of dominoes is complete?

### More Lower Primary Number Pattern Tasks

##### Age 5 to 7

Here are some more lower primary number pattern tasks for you to try.

### Rods and Rods

##### Age 7 to 11Challenge Level

Using only the red and white rods, how many different ways are there to make up the other colours of rod?

### Tables Without Tens

##### Age 7 to 11Challenge Level

Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.

### The Numbers Give the Design

##### Age 7 to 11Challenge Level

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

### Times Tables Shifts

##### Age 7 to 11Challenge Level

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

### Counter Ideas

##### Age 7 to 11Challenge Level

Here are some ideas to try in the classroom for using counters to investigate number patterns.

### Number Tracks

##### Age 7 to 11Challenge Level

Benâ€™s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?

### Investigating Pascal's Triangle

##### Age 7 to 11Challenge Level

In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.

### Lawn Border

##### Age 5 to 11Challenge Level

If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?

### Triangular Hexagons

##### Age 7 to 11Challenge Level

Investigate these hexagons drawn from different sized equilateral triangles.

### Little Squares

##### Age 5 to 7Challenge Level

Look at the squares in this problem. What does the next square look like? I draw a square with 81 little squares inside it. How long and how wide is my square?

### Sets of Four Numbers

##### Age 7 to 11Challenge Level

There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?

### The Tomato and the Bean

##### Age 5 to 7Challenge Level

At the beginning of May Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?

### Taking Steps

##### Age 7 to 11Challenge Level

In each of the pictures the invitation is for you to: Count what you see. Identify how you think the pattern would continue.

### Sets of Numbers

##### Age 7 to 11Challenge Level

How many different sets of numbers with at least four members can you find in the numbers in this box?

### The Mathemagician's Seven Spells

##### Age 7 to 11Challenge Level

"Tell me the next two numbers in each of these seven minor spells", chanted the Mathemagician, "And the great spell will crumble away!" Can you help Anna and David break the spell?

### Street Sequences

##### Age 5 to 11Challenge Level

Investigate what happens when you add house numbers along a street in different ways.

### Domino Patterns

##### Age 5 to 7Challenge Level

What patterns can you make with a set of dominoes?

### Swimming Pool Tiles

##### Age 7 to 11Challenge Level

This activity creates an opportunity to explore all kinds of number-related patterns.

### Hundred Square

##### Age 5 to 11Challenge Level

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?