Resources tagged with Sequences similar to Taking a Die for a Walk:
Other tags that relate to Taking a Die for a Walk
Investigations. Working systematically. Addition & subtraction. Dice. Combinations. Area - squares and rectangles. Sequences. Triangles. Practical Activity. Patterned numbers.There are 41 results
Broad Topics > Patterns and Sequences > Sequences
Taking a Die for a Walk
Age 5 to 11 Challenge 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.
Lawn Border
Age 5 to 11 Challenge 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?
Lost Books
Age 7 to 11 Challenge 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?
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.
Triangular Hexagons
Age 7 to 11 Challenge Level:
Investigate these hexagons drawn from different sized equilateral triangles.
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"?
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?
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?
Calendar Patterns
Age 7 to 11 Challenge 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?
Street Sequences
Age 5 to 11 Challenge Level:
Investigate what happens when you add house numbers along a street in different ways.
Magazines
Age 7 to 11 Challenge 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.
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.
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?
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!
Play a Merry Tune
Age 7 to 11 Challenge Level:
Explore the different tunes you can make with these five gourds. What are the similarities and differences between the two tunes you are given?
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?
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?
Next Number
Age 7 to 11 Short Challenge Level:
Find the next number in this pattern: 3, 7, 19, 55 ...
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?
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?
Amazing Alphabet Maze
Age 5 to 7 Challenge Level:
Can you go from A to Z right through the alphabet in the hexagonal maze?
Exploring Wild & Wonderful Number Patterns
Age 7 to 11 Challenge Level:
EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
A Shapely Network
Age 7 to 11 Challenge 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.
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?
Pebbles
Age 7 to 14 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?
Sounds Great!
Age 5 to 7 Challenge Level:
Investigate the different sounds you can make by putting the owls and donkeys on the wheel.
Cuisenaire Environment
Age 5 to 11 Challenge Level:
An environment which simulates working with Cuisenaire rods.
Pyramid Numbers
Age 7 to 11 Challenge Level:
What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?
The Mathemagician's Seven Spells
Age 7 to 11 Challenge 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?
Light Blue - Dark Blue
Age 7 to 11 Challenge Level:
Investigate the successive areas of light blue in these diagrams.
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.
Millennium Man
Age 7 to 11 Challenge Level:
Liitle Millennium Man was born on Saturday 1st January 2000 and he will retire on the first Saturday 1st January that occurs after his 60th birthday. How old will he be when he retires?
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?
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?
A Calendar Question
Age 7 to 11 Challenge Level:
July 1st 2001 was on a Sunday. July 1st 2002 was on a Monday. When did July 1st fall on a Monday again?
Generating Number Patterns: an Email Conversation
Age 7 to 16
This article for teachers describes the exchanges on an email talk list about ideas for an investigation which has the sum of the squares as its solution.
NRICH is part of the family of activities in the Millennium Mathematics Project.