Download More Mathematical Activities: A Resource Book for Teachers by Brian Bolt PDF

By Brian Bolt

This booklet follows the winning Mathematical actions via an identical writer and has been written to supply academics with extra principles to counterpoint their educating of arithmetic. It comprises 127 investigations, puzzles, video games and sensible actions including a statement which supplies suggestions and extra principles. those actions are compatible to be used with young children from age 9 upwards to stimulate their curiosity and inspire mathematical considering.

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Straws can be joined together to form polygons by feeding the thread through the straws and tying the ends together. The diagram shows a triangle formed in this way. knot (b) 48 knot If five straws had been threaded in a chain then it would be possible to form two adjoining triangles, as indicated by the numbers in (c). B knot (c) A sixth straw can now be fitted by hinging the triangles about their common edge, until A and B are the length of a straw apart, to form a regular tetrahedron (d). Satisfy yourself that this is a rigid structure even though the 'joints' are flexible.

Two solutions are given to start you off. What is the smallest number of changes of direction required by a rook to complete a re-entrant tour? If a rook's tour is not required to be re-entrant then it can visit each square once with only fourteen changes of direction. Can you find such a route? Is it possible for a rook to start at one corner, enter every square once, and finish in the opposite corner? Queen's tours 25 A queen can move diagonally as well as to and fro and up and down like a rook, so its tours can have more variety.

In each row five trees you must place Or you shall never see my face. 47 Only four lines! Without taking your pencil from the paper draw four straight lines that together pass through all nine points. 5 miles When a sheep farmer in Australia died, he left a will leaving all his land to his four children Charles, Diana, Edward and Fiona. To avoid any squabbling over the land he made a sketch of the ranch, which was in the shape of a quadrilateral and decreed that the land be divided into four triangular portions of equal area as indicated.

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