Resources tagged with: Describing patterns and sequences

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

Domino Patterns

Age 5 to 7
Challenge Level

What patterns can you make with a set of dominoes?

Domino Sets

Age 7 to 11
Challenge Level

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

The Numbers Give the Design

Age 7 to 11
Challenge 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 11
Challenge Level

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

Holes

Age 5 to 11
Challenge Level

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

Caterpillars

Age 5 to 7
Challenge 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?

Cuisenaire Environment

Age 5 to 16
Challenge Level

An environment which simulates working with Cuisenaire rods.

Chairs and Tables

Age 5 to 7
Challenge Level

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

Carrying Cards

Age 7 to 11
Challenge Level

These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?

Hundred Square

Age 5 to 11
Challenge 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?

The Tomato and the Bean

Age 5 to 7
Challenge 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?

Chain of Changes

Age 5 to 7
Challenge Level

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

Sticky Triangles

Age 7 to 11
Challenge Level

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

Pebbles

Age 7 to 11
Challenge 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?

Magic Crosses

Age 7 to 14
Challenge Level

Can you find examples of magic crosses? Can you find all the possibilities?

Counting Stick Conjectures

Age 5 to 11
Challenge Level

How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?

Bundles of Cubes

Age 7 to 11
Challenge Level

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

Swimming Pool Tiles

Age 7 to 11
Challenge Level

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

Diagonal in a Spiral

Age 7 to 11
Challenge Level

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

Centred Squares

Age 7 to 11
Challenge Level

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

More Lower Primary Number Pattern Tasks

Age 5 to 7

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

More Number Patterns Upper Primary

Age 7 to 11

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

More Number Patterns Lower Primary

Age 5 to 7

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

Rods and Rods

Age 7 to 11
Challenge Level

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

Steps to the Podium

Age 7 to 14
Challenge Level

It starts quite simple but great opportunities for number discoveries and patterns!

Polygonals

Age 7 to 11
Challenge Level

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

Extending Great Squares

Age 7 to 11
Challenge Level

Explore one of these five pictures.

More Pebbles

Age 7 to 11
Challenge Level

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

Cube Bricks and Daisy Chains

Age 5 to 7
Challenge Level

Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.

Sorting the Numbers

Age 5 to 11
Challenge 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?

So It's 28

Age 5 to 7
Challenge Level

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

Birds in the Garden

Age 5 to 11
Challenge Level

This activity asks you to collect information about the birds you see in the garden. Are there patterns in the data or do the birds seem to visit randomly?

Mobile Numbers

Age 5 to 11
Challenge Level

In this investigation, you are challenged to make mobile phone numbers which are easy to remember. What happens if you make a sequence adding 2 each time?

Investigating Pascal's Triangle

Age 7 to 11
Challenge 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.

Street Sequences

Age 5 to 11
Challenge Level

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

Digital Roots

Age 7 to 14

In this article for teachers, Bernard Bagnall describes how to find digital roots and suggests that they can be worth exploring when confronted by a sequence of numbers.

Triangular Hexagons

Age 7 to 11
Challenge Level

Investigate these hexagons drawn from different sized equilateral triangles.

Tables Without Tens

Age 7 to 11
Challenge Level

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

Function Machines

Age 7 to 11
Challenge Level

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

Sets of Four Numbers

Age 7 to 11
Challenge 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?

Unravelling Sequences

Age 7 to 11
Challenge Level

Can you describe what is happening as this program runs? Can you unpick the steps in the process?

Number Tracks

Age 7 to 11
Challenge Level

Ben'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?

All Seated

Age 7 to 11
Challenge 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?

Pattern Power

Age 5 to 14

Mathematics is the study of patterns. Studying pattern is an opportunity to observe, hypothesise, experiment, discover and create.

Light Blue - Dark Blue

Age 7 to 11
Challenge Level

Investigate the successive areas of light blue in these diagrams.

Taking Steps

Age 7 to 11
Challenge Level

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

Beads

Age 7 to 11
Challenge Level

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

Sept03 Sept03 Sept03

Age 7 to 11
Challenge Level

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

Sets of Numbers

Age 7 to 11
Challenge Level

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