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Resources tagged with Interactivities similar to Illusion:

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Broad Topics > Information and Communications Technology > Interactivities

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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?

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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?

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Ratio Pairs 3

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

Match pairs of cards so that they have equivalent ratios.

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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?

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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.

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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?

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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?

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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.

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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"

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Countdown Fractions

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

Here is a chance to play a fractions version of the classic Countdown Game.

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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.

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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.

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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!

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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?

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Excel Interactive Resource: Fraction Multiplication

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

Use Excel to explore multiplication of fractions.

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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.

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Fractions and Percentages Card Game

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

Match the cards of the same value.

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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?

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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.

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Dice and Spinners Environment

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

A tool for generating random integers.

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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?

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Link Puzzle

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

A metal puzzle which led to some mathematical questions.

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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.

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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.

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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.

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Excel Interactive Resource: Haitch

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

An Excel spreadsheet with an investigation.

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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.

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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. . . .

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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.

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Game of PIG - Sixes

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

Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?

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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.

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Nim-interactive

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

Start with any number of counters in any number of piles. 2 players take it in turns to remove any number of counters from a single pile. The winner is the player to take the last counter.

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Zodiac

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

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Tessellation Interactivity

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

An environment that enables you to investigate tessellations of regular polygons

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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.

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Lost on Alpha Prime

Stage: 4 Challenge Level: Challenge Level:1

On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?

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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.

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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?

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Estimating Angles

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

How good are you at estimating angles?

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Got a Strategy for Last Biscuit?

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

Can you beat the computer in the challenging strategy game?

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Just Rolling Round

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

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?

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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...

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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?

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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.

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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.

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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. . . .

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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. . . .

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Disappearing Square

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

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. . . .

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Up and Across

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

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its vertical and horizontal movement at each stage.

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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.