Resources tagged with Visualising similar to Dice, Routes and Pathways:
Other tags that relate to Dice, Routes and Pathways
Making and proving conjectures. Networks/Graph Theory. Working systematically. Generalising. Visualising. Mathematical reasoning & proof. Interactivities. smartphone. Dice. Cubes.There are 187 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Visualising
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. . . .
Auditorium Steps
Stage: 2 and 3 Challenge Level: 
What is the shape of wrapping paper that you would need to completely wrap this model?
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?
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.
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.
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?
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?
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.
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 ...
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?
The Path of the Dice
Stage: 2 Challenge Level:
A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
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.
Right or Left?
Stage: 2 Challenge Level:
Which of these dice are right-handed and which are left-handed?
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?
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.
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?
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.
World of Tan 14 - Celebrations
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outline of Little Ming and Little Fung dancing?
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.
World of Tan 15 - Millennia
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outlines of the workmen?
Hexagon Transformations
Stage: 2 Challenge Level:
Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!
World of Tan 16 - Time Flies
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outlines of the candle and sundial?
World of Tan 18 - Soup
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
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!
World of Tan 24 - Clocks
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outlines of these clocks?
World of Tan 22 - an Appealing Stroll
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outline of the child walking home from school?
World of Tan 25 - Pentominoes
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outlines of these people?
World of Tan 26 - Old Chestnut
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
World of Tan 28 - Concentrating on Coordinates
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
World of Tan 27 - Sharing
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outline of Little Fung at the table?
World of Tan 21 - Almost There Now
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
World of Tan 20 - Fractions
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outlines of the chairs?
Matchsticks
Stage: 2 Challenge Level:
Reasoning about the number of matches needed to build squares that share their sides.
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.
Construct-o-straws
Stage: 2 Challenge Level:
Make a cube out of straws and have a go at this practical challenge.
Making Tangrams
Stage: 2 Challenge Level:
Here's a simple way to make a Tangram without any measuring or ruling lines.
World of Tan 19 - Working Men
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
A Chain of Eight Polyhedra
Stage: 2 Challenge Level:
Can you arrange the shapes in a chain so that each one shares a face (or faces) that are the same shape as the one that follows it?
World of Tan 8 - Sports Car
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outline of this sports car?
Making Maths: Rolypoly
Stage: 1 and 2 Challenge Level:
Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?
Stringy Quads
Stage: 2 Challenge Level:
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Holes
Stage: 1 and 2 Challenge Level:
I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?
Folding Flowers 1
Stage: 2 Challenge Level:
Can you visualise what shape this piece of paper will make when it is folded?
World of Tan 1 - Granma T
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outline of Granma T?
Folding Flowers 2
Stage: 2 Challenge Level:
Make a flower design using the same shape made out of different sizes of paper.
World of Tan 2 - Little Ming
Stage: 2 Challenge Level:
Can you fit the tangram pieces into the outline of Little Ming?
Odd Squares
Stage: 2 Challenge Level:
Think of a number, square it and subtract your starting number. Is the number you’re left with odd or even? How do the images help to explain this?
A Square in a Circle
Stage: 2 Challenge Level:
What shape has Harry drawn on this clock face? Can you find its area? What is the largest number of square tiles that could cover this area?
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?
NRICH is part of the family of activities in the Millennium Mathematics Project.