Window View Level 9

Drag the 36 flowers into the gardens so that 15 flowers are visible from each window of the house. Each window has a view of three of the green square gardens.

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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk:

"Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!"

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Jugs

The classic problem of using two unmarked jugs to measure exactly a given quantity. The Transum version is interactive and awards a virtual trophy for each of the levels completed.

Numeracy

"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."

Secondary National Strategy, Mathematics at key stage 3

Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.

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Transum,

Monday, July 28, 2014

"This puzzle can be solved using a trial and error approach or it can be analysed more mathematically to find a formula determining the number of flowers in each part of the garden.

From the north window the flowers can be seen in each of the three top squares. From the west window the flowers can be seen in each of the three squares in the left column of the diagram. This means that the top left square can be seen from two windows so the flowers in that square count twice when adding up the total number of viewable flowers. This information may help you to derive a formula. Start by saying 'let the total number of flowers ne n and the number visible from each window be v'.

The full answer is available to teachers and parents who have signed into their Transum account."

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