knights tour

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This resource is courtesy of Prof. Paul Curzon, Queen Mary University. , specifically

Pupils need a counter, something to act like a knight. The rules are on the sheet though this is the simplest way to approach this activity…again pairing pupils work well. One of the key points of this is how representing a problem visually it can become simpler to understand and thus solve.

  1. hand out sheets and counters, explain tasks. Allow plenty of time to solve. Pupils who finish earlier can be activity gurus and assist others.
  2. next, on a blank piece of paper, pupils should draw a graph (computing graph!) of ALL possible moves from each and every square. They draw each square on the board as a circle then draw a line to another number circle that can be moved to.
  3. At this point, the graph may look messy, so ask them to redraw as clear as they can
  4. pose the question, Is there more than one solution, more than one route. Their hand-drawn graph should enable them to answer this.

robot ice cream server…

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Japanese ice cream vending robot. Pupils should first watch the video (the teacher could show many times to the whole class) . Pupils should then describe the actions of the robot as a series of numbered sentences. Don’t rush these steps as pupils are decomposing. Again pairing pupils work well. The final step is to create a flowchart. This should describe the actions seen in the video as a series of steps with decision points, where a loop is formed until conditions are met to move in to the next step.

example (without a decision) of flowchart for robot ice cream server
Japanese ice cream server