Other tags that relate to Summing Squares
Cubes & cuboids. Summation of series. Square numbers. Mathematical reasoning & proof. Creating and manipulating expressions and formulae. 2D representations of 3D shapes. Interactivities. Visualising. Working systematically. Generalising.There are 29 results
Broad Topics > 3D Geometry, Shape and Space > 2D representations of 3D shapes
Christmas Boxes
Age 11 to 14
Challenge Level
Find all the ways to cut out a 'net' of six squares that can be folded into a cube.
The Perforated Cube
Age 14 to 16
Challenge Level
A cube is made from smaller cubes, 5 by 5 by 5, then some of those cubes are removed. Can you make the specified shapes, and what is the most and least number of cubes required ?
Soma - So Good
Age 11 to 14
Challenge Level
Can you mentally fit the 7 SOMA pieces together to make a cube? Can you do it in more than one way?
Nine Colours
Age 11 to 16
Challenge Level
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
Take Ten
Age 11 to 14
Challenge Level
Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube so that the surface area of the remaining solid is the same as the surface area of the original?
The Development of Spatial and Geometric Thinking: 5 to 18
Age 5 to 16
This is the first article in a series which aim to provide some insight into the way spatial thinking develops in children, and draw on a range of reported research. The focus of this article is the. . . .
Cutting a Cube
Age 11 to 14
Challenge Level
A half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it. Can you draw a net of these pieces? Are they identical?
Icosian Game
Age 11 to 14
Challenge Level
This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.
The Spider and the Fly
Age 14 to 16
Challenge Level
A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?
Shaping the Universe II - the Solar System
Age 11 to 16
The second in a series of articles on visualising and modelling shapes in the history of astronomy.
Pupils' Recording or Pupils Recording
Age 5 to 14
This article, written for teachers, looks at the different kinds of recordings encountered in Primary Mathematics lessons and the importance of not jumping to conclusions!
Shaping the Universe I - Planet Earth
Age 11 to 16
This article explores ths history of theories about the shape of our planet. It is the first in a series of articles looking at the significance of geometric shapes in the history of astronomy.
Solids
Age 11 to 16
Challenge Level
A task which depends on members of the group working collaboratively to reach a single goal.
Nicola's Jigsaw
Age 11 to 14
Challenge Level
Nicola has lost a piece of her 3D jigsaw. Can you work out the shape of the missing piece?
Air Nets
Age 7 to 18
Challenge Level
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
The Solid
Age 11 to 16
Challenge Level
A task which depends on members of the group working collaboratively to reach a single goal.
Moving Squares
Age 14 to 16
Challenge Level
How can you represent the curvature of a cylinder on a flat piece of paper?
Thinking 3D
Age 7 to 14
How can we as teachers begin to introduce 3D ideas to young children? Where do they start? How can we lay the foundations for a later enthusiasm for working in three dimensions?
Chopped Dice
Age 14 to 16
Challenge Level
Can you make a new type of fair die with 14 faces by shaving the corners off a cube?
Which Face?
Age 14 to 16 Short
Challenge Level
Which faces are opposite each other when this net is folded into a cube?
Perfect Eclipse
Age 14 to 16
Challenge Level
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Stadium Sightline
Age 14 to 18
Challenge Level
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Construct the Solar System
Age 14 to 18
Challenge Level
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Geometry and Gravity 1
Age 11 to 18
This article (the first of two) contains ideas for investigations. Space-time, the curvature of space and topology are introduced with some fascinating problems to explore.
3D Drawing
Age 11 to 16
The design technology curriculum requires students to be able to represent 3-dimensional objects on paper. This article introduces some of the mathematical ideas which underlie such methods.
NRICH is part of the family of activities in the Millennium Mathematics Project.