Search by Topic

Resources tagged with Interactivities similar to Illusion:

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 152 results

Broad Topics > Information and Communications Technology > Interactivities

problem icon

Cubic Rotations

Stage: 4 Challenge Level: Challenge Level:1

There are thirteen axes of rotational symmetry of a unit cube. Describe them all. What is the average length of the parts of the axes of symmetry which lie inside the cube?

problem icon

Attractive Tablecloths

Stage: 4 Challenge Level: Challenge Level:1

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?

problem icon

Link Puzzle

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

A metal puzzle which led to some mathematical questions.

problem icon

Napoleon's Theorem

Stage: 4 and 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Triangle ABC has equilateral triangles drawn on its edges. Points P, Q and R are the centres of the equilateral triangles. What can you prove about the triangle PQR?

problem icon

Tilting Triangles

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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?

problem icon

Overlaid

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?

problem icon

Rollin' Rollin' Rollin'

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?

problem icon

Excel Interactive Resource: Equivalent Fraction Bars

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.

problem icon

Excel Interactive Resource: Long Multiplication

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Use an Excel spreadsheet to explore long multiplication.

problem icon

Excel Interactive Resource: Multiples Chain

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Use an interactive Excel spreadsheet to investigate factors and multiples.

problem icon

Cushion Ball Interactivity

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"

problem icon

Excel Interactive Resource: the up and Down Game

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Use an interactive Excel spreadsheet to explore number in this exciting game!

problem icon

Loci Resources

Stage: 4 Challenge Level: Challenge Level:1

This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.

problem icon

Ratio Pairs 3

Stage: 3 and 4 Challenge Level: Challenge Level:1

Match pairs of cards so that they have equivalent ratios.

problem icon

Polycircles

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?

problem icon

Squaring the Circle and Circling the Square

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.

problem icon

Excel Interactive Resource: Fraction Multiplication

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Use Excel to explore multiplication of fractions.

problem icon

Excel Interactive Resource: Fraction Addition & Fraction Subtraction

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Use Excel to practise adding and subtracting fractions.

problem icon

Percentages for Key Stage 4

Stage: 4 Challenge Level: Challenge Level:1

A group of interactive resources to support work on percentages Key Stage 4.

problem icon

Excel Interactive Resource: Number Grid Functions

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Use Excel to investigate the effect of translations around a number grid.

problem icon

Excel Interactive Resource: Haitch

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

An Excel spreadsheet with an investigation.

problem icon

Poly-puzzle

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

This rectangle is cut into five pieces which fit exactly into a triangular outline and also into a square outline where the triangle, the rectangle and the square have equal areas.

problem icon

Excel Interactive Resource: Interactive Division

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.

problem icon

Zodiac

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

problem icon

Tracking Points

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?

problem icon

Tilted Squares

Stage: 3 Challenge Level: Challenge Level:1

It's easy to work out the areas of most squares that we meet, but what if they were tilted?

problem icon

Tessellation Interactivity

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

An environment that enables you to investigate tessellations of regular polygons

problem icon

Overlap

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

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. . . .

problem icon

Graphical Interpretation

Stage: 4 Challenge Level: Challenge Level:1

This set of resources for teachers offers interactive environments to support work on graphical interpretation at Key Stage 4.

problem icon

Solving with Euclid's Algorithm

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

A java applet that takes you through the steps needed to solve a Diophantine equation of the form Px+Qy=1 using Euclid's algorithm.

problem icon

Advent Calendar 2009

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

A collection of our favourite pictorial problems, one for each day of Advent.

problem icon

Dice and Spinners Environment

Stage: 1, 2, 3, 4 and 5 Challenge Level: Challenge Level:1

A tool for generating random integers.

problem icon

White Box

Stage: 2, 3, 4 and 5 Challenge Level: Challenge Level:1

This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.

problem icon

Simple Counting Machine

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you set the logic gates so that the number of bulbs which are on is the same as the number of switches which are on?

problem icon

Volume of a Pyramid and a Cone

Stage: 3

These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.

problem icon

Olympic Magic

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

in how many ways can you place the numbers 1, 2, 3 … 9 in the nine regions of the Olympic Emblem (5 overlapping circles) so that the amount in each ring is the same?

problem icon

Instant Insanity

Stage: 3, 4 and 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.

problem icon

Muggles Magic

Stage: 3 Challenge Level: Challenge Level:1

You can move the 4 pieces of the jigsaw and fit them into both outlines. Explain what has happened to the missing one unit of area.

problem icon

Inside Out

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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. . . .

problem icon

Matter of Scale

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Prove Pythagoras' Theorem using enlargements and scale factors.

problem icon

Thank Your Lucky Stars

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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. . . .

problem icon

Sliding Puzzle

Stage: 1, 2, 3 and 4 Challenge Level: Challenge Level:1

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.

problem icon

Square It

Stage: 3 and 4 Challenge Level: Challenge Level:1

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.

problem icon

Slippage

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

A ladder 3m long rests against a wall with one end a short distance from its base. Between the wall and the base of a ladder is a garden storage box 1m tall and 1m high. What is the maximum distance. . . .

problem icon

An Unhappy End

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...

problem icon

Rolling Around

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

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?

problem icon

Shear Magic

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?

problem icon

Changing Places

Stage: 4 Challenge Level: Challenge Level:1

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. . . .

problem icon

Guesswork

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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.

problem icon

Jam

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

To avoid losing think of another very well known game where the patterns of play are similar.