By Brian Bolt
This ebook comprises greater than one hundred fifty video games, puzzles and investigations designed to inspire everybody attracted to arithmetic. a number of the actions inspire inventive pondering and sensible paintings. The booklet presents a source of principles for all these all for mathematical schooling.
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Additional resources for Mathematical Activities: A Resource Book for Teachers (Cambridge Educational)
How did he do it? Pleased with himself the gardener looked for other interesting arrangements until he found a way of planting ten rose bushes so that he had five lines with four rose bushes in each line. Find his arrangements. Investigate other 'economic' arrangements. 38 Perimeter and area Make as many shapes as you can on a pinboard which have a perimeter of 12 units. Record each new shape on spotty paper. The two examples shown both have an area of 5 square units. Find the area of each of your shapes.
Draw an arc with centre at A to represent the boundary BC. Now put the compass point at B and draw arc AC. Finally put the compass point at C and draw AB. After cutting out the shape draw two parallel lines on paper 6 cm apart. Arrange your shape to touch both lines and roll it along one line (holding a ruler along one line will help). You should find that the shape will always be touching both lines no matter what angle it is turned through. To draw the second shape in (b) start by drawing an equilateral triangle ABC whose sides are 4 cm long and then extend the sides outwards by at least 1 cm in each direction.
If you are asked to describe the motion of the wheels shown here you will probably say they are turning around clockwise, but such a description does not say much about the direction in which different points move. In (a) the wheel is turning about a fixed axle whilst in (b) it is rolling along the ground. In (c) the wheel is designed like that of a train and rolls on a rail. Indicate on each wheel the directions that the points A9 B, C, D and O are moving at the instant shown. Make a model out of card to help if you need it.