Other tags that relate to Cola Can
Interactivities. Volume and capacity. Mathematical reasoning & proof. Pythagoras' theorem. Surface and surface area. Spheres, cylinders & cones. Visualising. Maths Supporting SET. Spreadsheets. Cubes & cuboids.There are 93 results
Broad Topics > Physical and Digital Manipulatives > Interactivities
Square It
Age 11 to 16
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.
Tilting Triangles
Age 14 to 16
Challenge Level
A right-angled isosceles triangle is rotated about the centre point of a square. What can you say about the area of the part of the square covered by the triangle as it rotates?
Inside Out
Age 14 to 16
Challenge Level
There are 27 small cubes in a 3 x 3 x 3 cube, 54 faces being visible at any one time. Is it possible to reorganise these cubes so that by dipping the large cube into a pot of paint three times you. . . .
Excel Interactive Resource: Fraction Multiplication
Age 11 to 16
Challenge Level
Use Excel to explore multiplication of fractions.
Changing Places
Age 14 to 16
Challenge Level
Place a red counter in the top left corner of a 4x4 array, which is covered by 14 other smaller counters, leaving a gap in the bottom right hand corner (HOME). What is the smallest number of moves. . . .
Tilted Squares
Age 11 to 14
Challenge Level
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Rolling Around
Age 11 to 14
Challenge Level
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
Sliding Puzzle
Age 11 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.
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.
Jam
Age 14 to 16
Challenge Level
To avoid losing think of another very well known game where the patterns of play are similar.
Disappearing Square
Age 11 to 14
Challenge Level
Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . .
A Tilted Square
Age 14 to 16
Challenge Level
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Excel Interactive Resource: Interactive Division
Age 11 to 16
Challenge Level
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
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?
3D Treasure Hunt
Age 14 to 18
Challenge Level
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?
Matter of Scale
Age 14 to 16
Challenge Level
Prove Pythagoras' Theorem using enlargements and scale factors.
Excel Interactive Resource: Number Grid Functions
Age 11 to 16
Challenge Level
Use Excel to investigate the effect of translations around a number grid.
Excel Interactive Resource: Multiples Chain
Age 11 to 16
Challenge Level
Use an interactive Excel spreadsheet to investigate factors and multiples.
Excel Interactive Resource: Long Multiplication
Age 11 to 16
Challenge Level
Use an Excel spreadsheet to explore long multiplication.
Excel Interactive Resource: Haitch
Age 11 to 16
Challenge Level
An Excel spreadsheet with an investigation.
Excel Interactive Resource: Equivalent Fraction Bars
Age 11 to 16
Challenge Level
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Just Rolling Round
Age 14 to 16
Challenge Level
P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?
Excel Interactive Resource: Fraction Addition & Fraction Subtraction
Age 11 to 16
Challenge Level
Use Excel to practise adding and subtracting fractions.
Excel Interactive Resource: the up and Down Game
Age 11 to 16
Challenge Level
Use an interactive Excel spreadsheet to explore number in this exciting game!
Proof Sorter - Quadratic Equation
Age 14 to 18
Challenge Level
This is an interactivity in which you have to sort the steps in the completion of the square into the correct order to prove the formula for the solutions of quadratic equations.
Have You Got It?
Age 11 to 14
Challenge Level
Can you explain the strategy for winning this game with any target?
Attractive Tablecloths
Age 14 to 16
Challenge Level
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
Squaring the Circle and Circling the Square
Age 14 to 16
Challenge Level
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
Colour in the Square
Age 7 to 16
Challenge Level
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
Thank Your Lucky Stars
Age 14 to 16
Challenge Level
A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand. . . .
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. . . .
Poly Plug Rectangles
Age 5 to 14
Challenge Level
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Guesswork
Age 14 to 16
Challenge Level
Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.
Konigsberg Plus
Age 11 to 14
Challenge Level
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
Partitioning Revisited
Age 11 to 14
Challenge Level
We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4
Mixed up Mixture
Age 14 to 16
Challenge Level
Can you fill in the mixed up numbers in this dilution calculation?
Picturing Triangular Numbers
Age 11 to 14
Challenge Level
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
Number Pyramids
Age 11 to 14
Challenge Level
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
More Number Pyramids
Age 11 to 14
Challenge Level
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Triangles in Circles
Age 11 to 14
Challenge Level
Can you find triangles on a 9-point circle? Can you work out their angles?
Interactive Number Patterns
Age 14 to 16
Challenge Level
How good are you at finding the formula for a number pattern ?
Substitution Cipher
Age 11 to 14
Challenge Level
Find the frequency distribution for ordinary English, and use it to help you crack the code.
Got It
Age 7 to 14
Challenge Level
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
Cushion Ball Interactivity
Age 14 to 16
Challenge Level
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
Semi-regular Tessellations
Age 11 to 16
Challenge Level
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
How Far Does it Move?
Age 11 to 14
Challenge Level
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.
NRICH is part of the family of activities in the Millennium Mathematics Project.