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Resources tagged with Counting similar to Natural Born Mathematicians:

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Broad Topics > Numbers and the Number System > Counting

Natural Born Mathematicians

Stage: 1

Helen Joyce interviews the neuropsychologist Brian Butterworth whose research has shown that we are all born with a "built-in" sense of cardinal number.

Numbers and Notation - Ambiguities and Confusions

Stage: 1

While musing about the difficulties children face in comprehending number structure, notation, etc., it occured to the author that there is a vast array of occasions when numbers and signs are used. . . .

Swimming Pool

Stage: 1 and 2 Challenge Level:

In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

Writing Digits

Stage: 1 Short Challenge Level:

Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?

Buzzy Bee

Stage: 1 Challenge Level:

Buzzy Bee was building a honeycomb. She decided to decorate the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

Lots of Biscuits!

Stage: 1 Challenge Level:

Help share out the biscuits the children have made.

Which Is Quicker?

Stage: 2 Challenge Level:

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

Stone Age Counting

Stage: 1 Challenge Level:

What could these drawings, found in a cave in Spain, represent?

Next Domino

Stage: 1 Challenge Level:

Which comes next in each pattern of dominoes?

Cube Bricks and Daisy Chains

Stage: 1 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.

Find a Path

Stage: 1 Challenge Level:

Can you find a path from a number at the top of this network to the bottom which goes through each number from 1 to 9 once and once only?

Tug of War

Stage: 1 Challenge Level:

Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

Pairs of Legs

Stage: 1 Challenge Level:

How many legs do each of these creatures have? How many pairs is that?

Up and Down Donkey

Stage: 1 and 2 Challenge Level:

A number card game for 2-6 players.

Nim-7 for Two

Stage: 1 and 2 Challenge Level:

Nim-7 game for an adult and child. Who will be the one to take the last counter?

Incey Wincey Spider for Two

Stage: 1 Challenge Level:

Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?

Count the Crayons

Stage: 1 Challenge Level:

How could you estimate the number of pencils/pens in these pictures?

Incey Wincey Spider

Stage: 1 Challenge Level:

You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?

All Change

Stage: 1 Challenge Level:

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

Some Secret Codes

Stage: 2 Challenge Level:

Can you follow the rule to decode the messages?

Snail One Hundred

Stage: 1 and 2 Challenge Level:

This is a game in which your counters move in a spiral round the snail's shell. It is about understanding tens and units.

How Odd

Stage: 1 Challenge Level:

This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

Making Maths: Happy Families

Stage: 1 and 2 Challenge Level:

Here is a version of the game 'Happy Families' for you to make and play.

Poker Bingo

Stage: 1 Challenge Level:

A game played with a standard pack of cards.

1 to 8

Stage: 2 Challenge Level:

Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.

Sumo

Stage: 1 Challenge Level:

Reasoning based on this Japanese activity.

Tug Harder!

Stage: 2 Challenge Level:

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

Queue

Stage: 1 Challenge Level:

25 students are queuing in a straight line. How many are there between Julia and Jenny?

Alien Counting

Stage: 2 Challenge Level:

Investigate the different ways these aliens count in this challenge. You could start by thinking about how each of them would write our number 7.

Stage: 1 Challenge Level:

Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.

Dotty Six for Two

Stage: 1 and 2 Challenge Level:

Dotty Six game for an adult and child. Will you be the first to have three sixes in a straight line?

Count the Digits

Stage: 1 and 2 Challenge Level:

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

Picture a Pyramid ...

Stage: 2 Challenge Level:

Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?

Dotty Six

Stage: 1 and 2 Challenge Level:

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

Jumping Squares

Stage: 1 Challenge Level:

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

Month Mania

Stage: 1 and 2 Challenge 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?

Sitting Round the Party Tables

Stage: 1 and 2 Challenge Level:

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Diagonal Sums Sudoku

Stage: 2, 3 and 4 Challenge Level:

Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.

How Would We Count?

Stage: 1 and 2 Challenge Level:

An activity centred around observations of dots and how we visualise number arrangement patterns.

Neighbours

Stage: 2 Challenge Level:

In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

Five Steps to 50

Stage: 1 Challenge Level:

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

Mrs Beeswax

Stage: 1 Challenge Level:

In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?

Ip Dip

Stage: 1 and 2 Challenge Level:

"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

Slippery Snail

Stage: 2, 3 and 4 Challenge Level:

A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.

Nim-7

Stage: 1, 2 and 3 Challenge Level:

Can you work out how to win this game of Nim? Does it matter if you go first or second?

Counting Cards

Stage: 2 Challenge Level:

A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?

Page Numbers

Stage: 2 Short Challenge Level:

Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?

Noah

Stage: 1 Challenge Level:

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

Pairs of Numbers

Stage: 1 Challenge Level:

If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?