Resources tagged with Symmetry similar to Always, Sometimes or Never? Shape:
Other tags that relate to Always, Sometimes or Never? Shape
Mathematical reasoning & proof. Symmetry. Perimeter. Working systematically. Area - squares and rectangles. Visualising. Angle properties of polygons. Making and proving conjectures. Generalising. Cubes & cuboids.There are 45 results
Broad Topics > Transformations and constructions > Symmetry
Always, Sometimes or Never? Shape
Age 7 to 11 Challenge Level:
Are these statements always true, sometimes true or never true?
Reflecting Squarely
Age 11 to 14 Challenge Level:
In how many ways can you fit all three pieces together to make shapes with line symmetry?
Troublesome Dice
Age 11 to 14 Challenge Level:
When dice land edge-up, we usually roll again. But what if we didn't...?
Pattern Power
Age 5 to 14
Mathematics is the study of patterns. Studying pattern is an opportunity to observe, hypothesise, experiment, discover and create.
Shady Symmetry
Age 11 to 14 Challenge Level:
How many different symmetrical shapes can you make by shading triangles or squares?
Polydron
Age 7 to 11 Challenge Level:
This activity investigates how you might make squares and pentominoes from Polydron.
Classifying Solids Using Angle Deficiency
Age 11 to 16 Challenge Level:
Toni Beardon has chosen this article introducing a rich area for practical exploration and discovery in 3D geometry
Prime Magic
Age 7 to 16 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?
Shape Draw
Age 7 to 11 Challenge Level:
Use the information on these cards to draw the shape that is being described.
Symmetrical Semaphore
Age 7 to 11 Challenge Level:
Someone at the top of a hill sends a message in semaphore to a friend in the valley. A person in the valley behind also sees the same message. What is it?
The Frieze Tree
Age 11 to 16
Patterns that repeat in a line are strangely interesting. How many types are there and how do you tell one type from another?
Stringy Quads
Age 7 to 11 Challenge Level:
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Symmetry Challenge
Age 7 to 11 Challenge Level:
Systematically explore the range of symmetric designs that can be created by shading parts of the motif below. Use normal square lattice paper to record your results.
Overlap
Age 11 to 14 Challenge Level:
A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . .
Coordinate Challenge
Age 7 to 11 Challenge Level:
Use the clues about the symmetrical properties of these letters to place them on the grid.
Beat the Drum Beat!
Age 7 to 11 Challenge Level:
Use the interactivity to create some steady rhythms. How could you create a rhythm which sounds the same forwards as it does backwards?
Making Maths: Indian Window Screen
Age 7 to 11 Challenge Level:
Can you recreate this Indian screen pattern? Can you make up similar patterns of your own?
Making Maths: Snowflakes
Age 7 to 11 Challenge Level:
It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!
Making Maths: Five-point Snowflake
Age 7 to 11 Challenge Level:
Follow these instructions to make a five-pointed snowflake from a square of paper.
Tubular Path
Age 7 to 11 Challenge Level:
Can you make the green spot travel through the tube by moving the yellow spot? Could you draw a tube that both spots would follow?
Reflector ! Rotcelfer
Age 7 to 11 Challenge Level:
Can you place the blocks so that you see the reflection in the picture?
Building Patterns
Age 7 to 11 Challenge Level:
Can you deduce the pattern that has been used to lay out these bottle tops?
Rhombicubocts
Age 11 to 14 Challenge Level:
Each of these solids is made up with 3 squares and a triangle around each vertex. Each has a total of 18 square faces and 8 faces that are equilateral triangles. How many faces, edges and vertices. . . .
A Cartesian Puzzle
Age 7 to 11 Challenge Level:
Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
A Maze of Directions
Age 7 to 11 Challenge Level:
Use the blue spot to help you move the yellow spot from one star to the other. How are the trails of the blue and yellow spots related?
Hidden Meaning
Age 7 to 11 Challenge Level:
What is the missing symbol? Can you decode this in a similar way?
Triangle Shapes
Age 5 to 11 Challenge Level:
This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.
Turning Tangles
Age 11 to 14 Challenge Level:
Look carefully at the video of a tangle and explain what's happening.
National Flags
Age 7 to 11 Challenge Level:
This problem explores the shapes and symmetries in some national flags.
Gibraltar Geometry
Age 11 to 14 Challenge Level:
Take a look at the photos of tiles at a school in Gibraltar. What questions can you ask about them?
Topkapi Palace
Age 7 to 14 Challenge Level:
These images are taken from the Topkapi Palace in Istanbul, Turkey. Can you work out the basic unit that makes up each pattern? Can you continue the pattern? Can you see any similarities and. . . .
Sorting Letters
Age 5 to 11 Challenge Level:
This interactivity allows you to sort letters of the alphabet into two groups according to different properties.
Friezes
Age 11 to 14
Some local pupils lost a geometric opportunity recently as they surveyed the cars in the car park. Did you know that car tyres, and the wheels that they on, are a rich source of geometry?
Lafayette
Age 7 to 11 Challenge Level:
What mathematical words can be used to describe this floor covering? How many different shapes can you see inside this photograph?
Tiles in a Public Building
Age 7 to 11 Challenge Level:
What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?
Tournament Scheduling
Age 11 to 16
Scheduling games is a little more challenging than one might desire. Here are some tournament formats that sport schedulers use.
Flower Power
Age 11 to 16 Challenge Level:
Create a symmetrical fabric design based on a flower motif - and realise it in Logo.
Trominoes
Age 11 to 16 Challenge Level:
Can all but one square of an 8 by 8 Chessboard be covered by Trominoes?
Eight Dominoes
Age 7 to 16 Challenge Level:
Using the 8 dominoes make a square where each of the columns and rows adds up to 8
Dancing with Maths
Age 7 to 16
An article for students and teachers on symmetry and square dancing. What do the symmetries of the square have to do with a dos-e-dos or a swing? Find out more?
Frieze Patterns in Cast Iron
Age 11 to 16
A gallery of beautiful photos of cast ironwork friezes in Australia with a mathematical discussion of the classification of frieze patterns.
Drawing Celtic Knots
Age 11 to 14 Challenge Level:
Here is a chance to create some Celtic knots and explore the mathematics behind them.
Attractive Rotations
Age 11 to 14 Challenge Level:
Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...
Paint Rollers for Frieze Patterns.
Age 11 to 16
Proofs that there are only seven frieze patterns involve complicated group theory. The symmetries of a cylinder provide an easier approach.
NRICH is part of the family of activities in the Millennium Mathematics Project.