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NRICH topics: Thinking mathematically Representing

Resources tagged with: Representing

Content type:
Age range:
Challenge level:

There are 42 NRICH Mathematical resources connected to Representing, you may find related items under Thinking mathematically.

Broad Topics > Thinking mathematically > Representing

Problem Primary curriculum Secondary curriculum

Equivalent Pairs

Can you match pairs of cards which show the same amount?

Age 5 to 7
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Picture Your Method

Can you match these calculation methods to their visual representations?

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Birthday Sharing

It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?

Age 5 to 7
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Finding 3D Stacks

Can you find a way of counting the spheres in these arrangements?

Age 7 to 11
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Dice in a Corner

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

Age 7 to 11
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Let Us Divide!

Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Olympic Turns

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

Age 7 to 11
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

That Number Square

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

Age 5 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Different Sizes

A simple visual exploration into halving and doubling.

Age 5 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Going for Gold

Looking at the 2012 Olympic Medal table, can you see how the data is organised? Could the results be presented differently to give another nation the top place?

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Factorising with Multilink

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

Age 14 to 16
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Vector Journeys

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

Age 14 to 18
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Always a Multiple?

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Age 11 to 14
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Vector Walk

Starting with two basic vector steps, which destinations can you reach on a vector walk?

Age 14 to 18
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Sticky Numbers

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Searching for Mean(ing)

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

Age 11 to 16
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Odds and Evens

Are these games fair? How can you tell?

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Catrina's Cards

How would you find out how many football cards Catrina has collected?

Age 5 to 7
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

One Big Triangle

Make one big triangle so the numbers that touch on the small triangles add to 10.

Age 5 to 7
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Sweetie Box

Max and Bryony both have a box of sweets. What do you know about the number of sweets they each have?

Age 5 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Rod Area

This task challenges you to create symmetrical U shapes out of rods and find their areas.

Age 7 to 11
Article Primary curriculum Secondary curriculum

Young Children's Mathematical Recording

In this article, Janine Davenall reflects on children's personalised mathematical recordings as part of a small research project based in her Reception class.

Age 3 to 7
List Primary curriculum Secondary curriculum

Representing - Short Problems

A collection of short Stage 3 and 4 problems on Representing.

Age 11 to 16
Article Primary curriculum Secondary curriculum

Primary Children's Mathematical Recording

This article for teachers outlines different types of recording, depending on the purpose and audience.

Age 3 to 11
List Primary curriculum Secondary curriculum

More Recording Lower Primary

Age 5 to 7
Problem Primary curriculum Secondary curriculum

Trig Reps

Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?

Age 16 to 18
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Hyperbolic Thinking

Explore the properties of these two fascinating functions using trigonometry as a guide.

Age 16 to 18
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Polar Bearings

What on earth are polar coordinates, and why would you want to use them?

Age 16 to 18
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Charting More Success

Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?

Age 11 to 16
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Charting Success

Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?

Age 11 to 16
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

3D Stacks

Can you find a way of representing these arrangements of balls?

Age 7 to 14
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Sheep in Wolf's Clothing

Can you work out what simple structures have been dressed up in these advanced mathematical representations?

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Painting by Functions

Use functions to create minimalist versions of works of art.

Age 16 to 18
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Maths Shop Window

Make a functional window display which will both satisfy the manager and make sense to the shoppers

Age 16 to 18
Challenge Level Yellow starYellow star
Article Primary curriculum Secondary curriculum

Children's Mathematical Graphics: Understanding the Key Concept

In this article for teachers, Elizabeth Carruthers and Maulfry Worthington explore the differences between 'recording mathematics' and 'representing mathematical thinking'.

Age 5 to 7
Problem Primary curriculum Secondary curriculum

28 - Upward and Onward

Can you find ways of joining cubes together so that 28 faces are visible?

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

What Is the Question?

These pictures and answers leave the viewer with the problem "What is the Question". Can you give the question and how the answer follows?

Age 11 to 16
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Building Gnomons

Build gnomons that are related to the Fibonacci sequence and try to explain why this is possible.

Age 14 to 16
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

A Flying Holiday

Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Dodecamagic

Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?

Age 7 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Gnomon Dimensions

These gnomons appear to have more than a passing connection with the Fibonacci sequence. This problem ask you to investigate some of these connections.

Age 14 to 16
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Calendar Capers

Choose any three by three square of dates on a calendar page...

Age 11 to 14
Challenge Level Yellow star

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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