There are 42 NRICH Mathematical resources connected to Representing, you may find related items under Thinking mathematically.
Broad Topics > Thinking mathematically > Representing
Can you match these calculation methods to their visual representations?
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?
Can you find a way of counting the spheres in these arrangements?
How could you arrange at least two dice in a stack so that the total of the visible spots is 18?
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?
This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.
Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
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?
Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
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?
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?
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?
How would you find out how many football cards Catrina has collected?
Make one big triangle so the numbers that touch on the small triangles add to 10.
Max and Bryony both have a box of sweets. What do you know about the number of sweets they each have?
This task challenges you to create symmetrical U shapes out of rods and find their areas.
In this article, Janine Davenall reflects on children's personalised mathematical recordings as part of a small research project based in her Reception class.
A collection of short Stage 3 and 4 problems on Representing.
This article for teachers outlines different types of recording, depending on the purpose and audience.
Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?
Explore the properties of these two fascinating functions using trigonometry as a guide.
What on earth are polar coordinates, and why would you want to use them?
Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?
Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?
Can you find a way of representing these arrangements of balls?
Can you work out what simple structures have been dressed up in these advanced mathematical representations?
Use functions to create minimalist versions of works of art.
Make a functional window display which will both satisfy the manager and make sense to the shoppers
In this article for teachers, Elizabeth Carruthers and Maulfry Worthington explore the differences between 'recording mathematics' and 'representing mathematical thinking'.
Can you find ways of joining cubes together so that 28 faces are visible?
These pictures and answers leave the viewer with the problem "What is the Question". Can you give the question and how the answer follows?
Build gnomons that are related to the Fibonacci sequence and try to explain why this is possible.
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.
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?
These gnomons appear to have more than a passing connection with the Fibonacci sequence. This problem ask you to investigate some of these connections.
Choose any three by three square of dates on a calendar page...
