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  #### Resources tagged with Interactivities similar to Rectangle Rearrangement:
  
  Filter by: Content type:
  Stage:
  Challenge level:
  
  ### There are 151 results
  
  Broad Topics > Information and Communications Technology > Interactivities
  
  ### Cubic Net
  
  ##### Stage: 4 and 5 Challenge Level:
  
  This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo!
  
  ### Disappearing Square
  
  ##### Stage: 3 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. . . .
  
  ### Inside Out
  
  ##### Stage: 4 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. . . .
  
  ### Tilting Triangles
  
  ##### Stage: 4 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?
  
  ### 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.
  
  ### Muggles Magic
  
  ##### Stage: 3 Challenge Level:
  
  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.
  
  ### Cogs
  
  ##### Stage: 3 Challenge Level:
  
  A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
  
  ### Lost on Alpha Prime
  
  ##### Stage: 4 Challenge Level:
  
  On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
  
  ### Poly-puzzle
  
  ##### Stage: 3 Challenge Level:
  
  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.
  
  ### 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.
  
  ### Khun Phaen Escapes to Freedom
  
  ##### Stage: 3 Challenge Level:
  
  Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
  
  ### Shear Magic
  
  ##### Stage: 3 Challenge Level:
  
  What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
  
  ### Picturing Triangle Numbers
  
  ##### Stage: 3 Challenge Level:
  
  Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
  
  ### Square It
  
  ##### Stage: 3 and 4 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.
  
  ### Changing Places
  
  ##### Stage: 4 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. . . .
  
  ### Rolling Around
  
  ##### Stage: 3 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?
  
  ### When Will You Pay Me? Say the Bells of Old Bailey
  
  ##### Stage: 3 Challenge Level:
  
  Use the interactivity to play two of the bells in a pattern. How do you know when it is your turn to ring, and how do you know which bell to ring?
  
  ### Online
  
  ##### Stage: 2 and 3 Challenge Level:
  
  A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
  
  ### Jam
  
  ##### Stage: 4 Challenge Level:
  
  To avoid losing think of another very well known game where the patterns of play are similar.
  
  ### 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.
  
  ### Instant Insanity
  
  ##### Stage: 3, 4 and 5 Challenge Level:
  
  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.
  
  ### Conway's Chequerboard Army
  
  ##### Stage: 3 Challenge Level:
  
  Here is a solitaire type environment for you to experiment with. Which targets can you reach?
  
  ### Just Rolling Round
  
  ##### Stage: 4 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?
  
  ### You Owe Me Five Farthings, Say the Bells of St Martin's
  
  ##### Stage: 3 Challenge Level:
  
  Use the interactivity to listen to the bells ringing a pattern. Now it's your turn! Play one of the bells yourself. How do you know when it is your turn to ring?
  
  ### More Magic Potting Sheds
  
  ##### Stage: 3 Challenge Level:
  
  The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?
  
  ### Excel Interactive Resource: Fraction Multiplication
  
  ##### Stage: 3 and 4 Challenge Level:
  
  Use Excel to explore multiplication of fractions.
  
  ### Fractions and Percentages Card Game
  
  ##### Stage: 3 and 4 Challenge Level:
  
  Match the cards of the same value.
  
  ### A Tilted Square
  
  ##### Stage: 4 Challenge Level:
  
  The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
  
  ### Shuffle Shriek
  
  ##### Stage: 3 Challenge Level:
  
  Can you find all the 4-ball shuffles?
  
  ### Factor Lines
  
  ##### Stage: 2 and 3 Challenge Level:
  
  Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
  
  ### Colour in the Square
  
  ##### Stage: 2, 3 and 4 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?
  
  ### Got a Strategy for Last Biscuit?
  
  ##### Stage: 3 and 4 Challenge Level:
  
  Can you beat the computer in the challenging strategy game?
  
  ### First Connect Three
  
  ##### Stage: 2 and 3 Challenge Level:
  
  The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
  
  ### Olympic Magic
  
  ##### Stage: 4 Challenge Level:
  
  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?
  
  ### Loci Resources
  
  ##### Stage: 4 Challenge Level:
  
  This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
  
  ### Teddy Town
  
  ##### Stage: 1, 2 and 3 Challenge Level:
  
  There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
  
  ### Solving with Euclid's Algorithm
  
  ##### Stage: 4 and 5 Challenge Level:
  
  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.
  
  ### Gr8 Coach
  
  ##### Stage: 3 Challenge Level:
  
  Can you coach your rowing eight to win?
  
  ### Flippin' Discs
  
  ##### Stage: 3 Challenge Level:
  
  Identical discs are flipped in the air. You win if all of the faces show the same colour. Can you calculate the probability of winning with n discs?
  
  ### Flip Flop - Matching Cards
  
  ##### Stage: 1, 2 and 3 Challenge Level:
  
  A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
  
  ### Tracking Points
  
  ##### Stage: 4 Challenge Level:
  
  Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
  
  ### Nim-interactive
  
  ##### Stage: 3 and 4 Challenge Level:
  
  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.
  
  ### Rollin' Rollin' Rollin'
  
  ##### Stage: 3 Challenge Level:
  
  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?
  
  ### Number Pyramids
  
  ##### Stage: 3 Challenge Level:
  
  Try entering different sets of numbers in the number pyramids. How does the total at the top change?
  
  ### Bow Tie
  
  ##### Stage: 3 Challenge Level:
  
  Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.
  
  ##### Stage: 2, 3 and 4 Challenge Level:
  
  A collection of our favourite pictorial problems, one for each day of Advent.
  
  ### Konigsberg Plus
  
  ##### Stage: 3 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.
  
  ### Triangles in Circles
  
  ##### Stage: 3 Challenge Level:
  
  Can you find triangles on a 9-point circle? Can you work out their angles?
  
  ### Tilted Squares
  
  ##### Stage: 3 Challenge Level:
  
  It's easy to work out the areas of most squares that we meet, but what if they were tilted?
  
  ### Partitioning Revisited
  
  ##### Stage: 3 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
explanation: The provided text is a collection of math-related interactive resources and problems, primarily focusing on geometry and interactive activities. It does not contain a single, specific math question or a question-and-answer pair. Instead, it lists various interactive math problems and activities that users can engage with, such as puzzles, games, and geometric challenges.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Search by Topic
  
  #### Resources tagged with Interactivities similar to Rectangle Rearrangement:
  
  Filter by: Content type:
  Stage:
  Challenge level:
  
  ### There are 151 results
  
  Broad Topics > Information and Communications Technology > Interactivities
  
  ### Cubic Net
  
  ##### Stage: 4 and 5 Challenge Level:
  
  This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo!
  
  ### Disappearing Square
  
  ##### Stage: 3 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. . . .
  
  ### Inside Out
  
  ##### Stage: 4 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. . . .
  
  ### Tilting Triangles
  
  ##### Stage: 4 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?
  
  ### 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.
  
  ### Muggles Magic
  
  ##### Stage: 3 Challenge Level:
  
  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.
  
  ### Cogs
  
  ##### Stage: 3 Challenge Level:
  
  A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
  
  ### Lost on Alpha Prime
  
  ##### Stage: 4 Challenge Level:
  
  On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
  
  ### Poly-puzzle
  
  ##### Stage: 3 Challenge Level:
  
  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.
  
  ### 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.
  
  ### Khun Phaen Escapes to Freedom
  
  ##### Stage: 3 Challenge Level:
  
  Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
  
  ### Shear Magic
  
  ##### Stage: 3 Challenge Level:
  
  What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
  
  ### Picturing Triangle Numbers
  
  ##### Stage: 3 Challenge Level:
  
  Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
  
  ### Square It
  
  ##### Stage: 3 and 4 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.
  
  ### Changing Places
  
  ##### Stage: 4 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. . . .
  
  ### Rolling Around
  
  ##### Stage: 3 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?
  
  ### When Will You Pay Me? Say the Bells of Old Bailey
  
  ##### Stage: 3 Challenge Level:
  
  Use the interactivity to play two of the bells in a pattern. How do you know when it is your turn to ring, and how do you know which bell to ring?
  
  ### Online
  
  ##### Stage: 2 and 3 Challenge Level:
  
  A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
  
  ### Jam
  
  ##### Stage: 4 Challenge Level:
  
  To avoid losing think of another very well known game where the patterns of play are similar.
  
  ### 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.
  
  ### Instant Insanity
  
  ##### Stage: 3, 4 and 5 Challenge Level:
  
  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.
  
  ### Conway's Chequerboard Army
  
  ##### Stage: 3 Challenge Level:
  
  Here is a solitaire type environment for you to experiment with. Which targets can you reach?
  
  ### Just Rolling Round
  
  ##### Stage: 4 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?
  
  ### You Owe Me Five Farthings, Say the Bells of St Martin's
  
  ##### Stage: 3 Challenge Level:
  
  Use the interactivity to listen to the bells ringing a pattern. Now it's your turn! Play one of the bells yourself. How do you know when it is your turn to ring?
  
  ### More Magic Potting Sheds
  
  ##### Stage: 3 Challenge Level:
  
  The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?
  
  ### Excel Interactive Resource: Fraction Multiplication
  
  ##### Stage: 3 and 4 Challenge Level:
  
  Use Excel to explore multiplication of fractions.
  
  ### Fractions and Percentages Card Game
  
  ##### Stage: 3 and 4 Challenge Level:
  
  Match the cards of the same value.
  
  ### A Tilted Square
  
  ##### Stage: 4 Challenge Level:
  
  The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
  
  ### Shuffle Shriek
  
  ##### Stage: 3 Challenge Level:
  
  Can you find all the 4-ball shuffles?
  
  ### Factor Lines
  
  ##### Stage: 2 and 3 Challenge Level:
  
  Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
  
  ### Colour in the Square
  
  ##### Stage: 2, 3 and 4 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?
  
  ### Got a Strategy for Last Biscuit?
  
  ##### Stage: 3 and 4 Challenge Level:
  
  Can you beat the computer in the challenging strategy game?
  
  ### First Connect Three
  
  ##### Stage: 2 and 3 Challenge Level:
  
  The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
  
  ### Olympic Magic
  
  ##### Stage: 4 Challenge Level:
  
  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?
  
  ### Loci Resources
  
  ##### Stage: 4 Challenge Level:
  
  This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
  
  ### Teddy Town
  
  ##### Stage: 1, 2 and 3 Challenge Level:
  
  There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
  
  ### Solving with Euclid's Algorithm
  
  ##### Stage: 4 and 5 Challenge Level:
  
  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.
  
  ### Gr8 Coach
  
  ##### Stage: 3 Challenge Level:
  
  Can you coach your rowing eight to win?
  
  ### Flippin' Discs
  
  ##### Stage: 3 Challenge Level:
  
  Identical discs are flipped in the air. You win if all of the faces show the same colour. Can you calculate the probability of winning with n discs?
  
  ### Flip Flop - Matching Cards
  
  ##### Stage: 1, 2 and 3 Challenge Level:
  
  A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
  
  ### Tracking Points
  
  ##### Stage: 4 Challenge Level:
  
  Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
  
  ### Nim-interactive
  
  ##### Stage: 3 and 4 Challenge Level:
  
  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.
  
  ### Rollin' Rollin' Rollin'
  
  ##### Stage: 3 Challenge Level:
  
  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?
  
  ### Number Pyramids
  
  ##### Stage: 3 Challenge Level:
  
  Try entering different sets of numbers in the number pyramids. How does the total at the top change?
  
  ### Bow Tie
  
  ##### Stage: 3 Challenge Level:
  
  Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.
  
  ##### Stage: 2, 3 and 4 Challenge Level:
  
  A collection of our favourite pictorial problems, one for each day of Advent.
  
  ### Konigsberg Plus
  
  ##### Stage: 3 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.
  
  ### Triangles in Circles
  
  ##### Stage: 3 Challenge Level:
  
  Can you find triangles on a 9-point circle? Can you work out their angles?
  
  ### Tilted Squares
  
  ##### Stage: 3 Challenge Level:
  
  It's easy to work out the areas of most squares that we meet, but what if they were tilted?
  
  ### Partitioning Revisited
  
  ##### Stage: 3 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
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is a collection of math-related interactive resources and problems, primarily focusing on geometry and interactive activities. It does not contain a single, specific math question or a question-and-answer pair. Instead, it lists various interactive math problems and activities that users can engage with, such as puzzles, games, and geometric challenges.
  
  Label: multiple-question