Resources tagged with Visualising similar to Square It:
Other tags that relate to Square It
Dynamic geometry. Mathematical reasoning & proof. Making and proving conjectures. Resourceful. Real world. Games. Complex numbers. Interactivities. Visualising. Squares.There are 187 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Visualising
Sliding Puzzle
Stage: 1, 2, 3 and 4 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
Stage: 2, 3 and 4 Challenge Level:
What can you see? What do you notice? What questions can you ask?
Zooming in on the Squares
Stage: 2 and 3
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?
Like a Circle in a Spiral
Stage: 2, 3 and 4 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?
Drilling Many Cubes
Stage: 2 and 3 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.
Pattern Power
Stage: 1, 2 and 3
Mathematics is the study of patterns. Studying pattern is an opportunity to observe, hypothesise, experiment, discover and create.
Clocking Off
Stage: 2, 3 and 4 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?
Sprouts
Stage: 2, 3, 4 and 5 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
Stage: 2 and 3
Lyndon Baker describes how the Mobius strip and Euler's law can introduce pupils to the idea of topology.
Diagonal Dodge
Stage: 2 and 3 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.
Auditorium Steps
Stage: 2 and 3 Challenge Level:
What is the shape of wrapping paper that you would need to completely wrap this model?
Sea Defences
Stage: 2 and 3 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?
Eight Hidden Squares
Stage: 2 and 3 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?
Endless Noughts and Crosses
Stage: 2 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.
Move Those Halves
Stage: 2 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 ...
Dice, Routes and Pathways
Stage: 1, 2 and 3
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. . . .
Square to L
Stage: 2 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.
Prime Magic
Stage: 2, 3 and 4 Challenge Level:
Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?
Tangram Paradox
Stage: 2 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!
How Many Pieces?
Stage: 1 Challenge Level:
How many loops of string have been used to make these patterns?
Square Surprise
Stage: 1 and 2 Challenge Level:
Why do you think that the red player chose that particular dot in this game of Square It?
Cubes Cut Into Four Pieces
Stage: 1 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?
Twice as Big?
Stage: 2 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.
How Many Pieces This Time?
Stage: 1 Challenge Level:
How many pieces of string have been used in these patterns? Can you describe how you know?
Paper Patchwork 1
Stage: 1 Challenge Level:
Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?
Makeover
Stage: 1 and 2 Challenge Level:
Exchange the positions of the two sets of counters in the least possible number of moves
Building with Cubes
Stage: 1 Challenge Level:
Try to picture these buildings of cubes in your head. Can you make them to check whether you had imagined them correctly?
Problem Solving, Using and Applying and Functional Mathematics
Stage: 1, 2, 3, 4 and 5 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.
Three Squares
Stage: 1 and 2 Challenge Level:
What is the greatest number of squares you can make by overlapping three squares?
Put Yourself in a Box
Stage: 2 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.
Start Cube Drilling
Stage: 1 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?
Cube Drilling
Stage: 2 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?
Circles, Circles
Stage: 1 and 2 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?
Paper Partners
Stage: 1 Challenge Level:
Can you describe a piece of paper clearly enough for your partner to know which piece it is?
Square it for Two
Stage: 1 and 2 Challenge Level:
Square It game for an adult and child. Can you come up with a way of always winning this game?
Take One Example
Stage: 1 and 2
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.
Seeing Squares
Stage: 1 and 2 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.
Thinking Through, and By, Visualising
Stage: 2, 3 and 4
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
Stage: 2 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?
Dicey
Stage: 2 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?
Cubes Within Cubes
Stage: 2 and 3 Challenge Level:
We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?
World of Tan 18 - Soup
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
World of Tan 16 - Time Flies
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outlines of the candle and sundial?
The Development of Spatial and Geometric Thinking: 5 to 18
Stage: 1, 2, 3 and 4
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 17 - Weather
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outlines of the watering can and man in a boat?
Construct-o-straws
Stage: 2 Challenge Level:
Make a cube out of straws and have a go at this practical challenge.
Playground Snapshot
Stage: 2 and 3 Challenge Level:
The image in this problem is part of a piece of equipment found in the playground of a school. How would you describe it to someone over the phone?
One Big Triangle
Stage: 1 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.
NRICH is part of the family of activities in the Millennium Mathematics Project.