Resources tagged with Visualising similar to Square It:
Other tags that relate to Square It
Complex numbers. Squares. Working systematically. Visualising. Games. Real world. Mathematical reasoning & proof. Resourceful. Interactivities. Making and proving conjectures.There are 191 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Visualising
Sliding Puzzle
Age 5 to 16 Challenge Level:
The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.
Baravelle
Age 7 to 16 Challenge Level:
What can you see? What do you notice? What questions can you ask?
Zooming in on the Squares
Age 7 to 14
Start with a large square, join the midpoints of its sides, you'll see four right angled triangles. Remove these triangles, a second square is left. Repeat the operation. What happens?
Auditorium Steps
Age 7 to 14 Challenge Level:
What is the shape of wrapping paper that you would need to completely wrap this model?
3D Stacks
Age 7 to 14 Challenge Level:
Can you find a way of representing these arrangements of balls?
Clocking Off
Age 7 to 16 Challenge Level:
I found these clocks in the Arts Centre at the University of Warwick intriguing - do they really need four clocks and what times would be ambiguous with only two or three of them?
Diagonal Dodge
Age 7 to 14 Challenge Level:
A game for 2 players. Can be played online. One player has 1 red counter, the other has 4 blue. The red counter needs to reach the other side, and the blue needs to trap the red.
Sprouts
Age 7 to 18 Challenge Level:
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
Bands and Bridges: Bringing Topology Back
Age 7 to 14
Lyndon Baker describes how the Mobius strip and Euler's law can introduce pupils to the idea of topology.
Dice, Routes and Pathways
Age 5 to 14
This article for teachers discusses examples of problems in which there is no obvious method but in which children can be encouraged to think deeply about the context and extend their ability to. . . .
Drilling Many Cubes
Age 7 to 14 Challenge Level:
A useful visualising exercise which offers opportunities for discussion and generalising, and which could be used for thinking about the formulae needed for generating the results on a spreadsheet.
Sea Defences
Age 7 to 14 Challenge Level:
These are pictures of the sea defences at New Brighton. Can you work out what a basic shape might be in both images of the sea wall and work out a way they might fit together?
Endless Noughts and Crosses
Age 7 to 11 Challenge Level:
An extension of noughts and crosses in which the grid is enlarged and the length of the winning line can to altered to 3, 4 or 5.
Cubes Cut Into Four Pieces
Age 5 to 7 Challenge Level:
Eight children each had a cube made from modelling clay. They cut them into four pieces which were all exactly the same shape and size. Whose pieces are the same? Can you decide who made each set?
The Development of Spatial and Geometric Thinking: Co-ordinating Space in Drawings
Age 5 to 7
This second article in the series refers to research about levels of development of spatial thinking and the possible influence of instruction.
Makeover
Age 5 to 11 Challenge Level:
Exchange the positions of the two sets of counters in the least possible number of moves
Square Surprise
Age 5 to 11 Challenge Level:
Why do you think that the red player chose that particular dot in this game of Seeing Squares?
Tangram Paradox
Age 7 to 11 Challenge Level:
How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!
The Development of Spatial and Geometric Thinking: the Importance of Instruction.
Age 5 to 11
This article looks at levels of geometric thinking and the types of activities required to develop this thinking.
Paper Patchwork 1
Age 5 to 7 Challenge Level:
Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?
Three Squares
Age 5 to 11 Challenge Level:
What is the greatest number of squares you can make by overlapping three squares?
Put Yourself in a Box
Age 7 to 11 Challenge Level:
A game for 2 players. Given a board of dots in a grid pattern, players take turns drawing a line by connecting 2 adjacent dots. Your goal is to complete more squares than your opponent.
Dicey
Age 7 to 11 Challenge Level:
A game has a special dice with a colour spot on each face. These three pictures show different views of the same dice. What colour is opposite blue?
Like a Circle in a Spiral
Age 7 to 16 Challenge Level:
A cheap and simple toy with lots of mathematics. Can you interpret the images that are produced? Can you predict the pattern that will be produced using different wheels?
How Many Pieces This Time?
Age 5 to 7 Challenge Level:
How many pieces of string have been used in these patterns? Can you describe how you know?
How Many Pieces?
Age 5 to 7 Challenge Level:
How many loops of string have been used to make these patterns?
Twice as Big?
Age 7 to 11 Challenge Level:
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Eight Hidden Squares
Age 7 to 14 Challenge Level:
On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?
Square to L
Age 7 to 11 Challenge Level:
Find a way to cut a 4 by 4 square into only two pieces, then rejoin the two pieces to make an L shape 6 units high.
Take One Example
Age 5 to 11
This article introduces the idea of generic proof for younger children and illustrates how one example can offer a proof of a general result through unpacking its underlying structure.
Circles, Circles
Age 5 to 11 Challenge Level:
Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?
Cube Drilling
Age 7 to 11 Challenge Level:
Imagine a 4 by 4 by 4 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will not have holes drilled through them?
Start Cube Drilling
Age 5 to 7 Challenge Level:
Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?
Seeing Squares for Two
Age 5 to 11 Challenge Level:
Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
Thinking Through, and By, Visualising
Age 7 to 16
This article is based on some of the ideas that emerged during the production of a book which takes visualising as its focus. We began to identify problems which helped us to take a structured view. . . .
Painted Faces
Age 7 to 11 Challenge Level:
Imagine a 3 by 3 by 3 cube made of 9 small cubes. Each face of the large cube is painted a different colour. How many small cubes will have two painted faces? Where are they?
Problem Solving, Using and Applying and Functional Mathematics
Age 5 to 18 Challenge Level:
Problem solving is at the heart of the NRICH site. All the problems give learners opportunities to learn, develop or use mathematical concepts and skills. Read here for more information.
Pattern Power
Age 5 to 14
Mathematics is the study of patterns. Studying pattern is an opportunity to observe, hypothesise, experiment, discover and create.
Seeing Squares
Age 5 to 11 Challenge Level:
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
World of Tan 18 - Soup
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
World of Tan 17 - Weather
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outlines of the watering can and man in a boat?
World of Tan 21 - Almost There Now
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
World of Tan 22 - an Appealing Stroll
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outline of the child walking home from school?
One Big Triangle
Age 5 to 7 Challenge Level:
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Right or Left?
Age 7 to 11 Challenge Level:
Which of these dice are right-handed and which are left-handed?
Move Those Halves
Age 7 to 11 Challenge Level:
For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...
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. . . .
World of Tan 19 - Working Men
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
NRICH is part of the family of activities in the Millennium Mathematics Project.