Year 7 Number 1 Homework History of Mathematics - PowerPoint PPT Presentation

Year 7 Number 1 Homework History of Mathematics

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Year 7 Number 1 Homework History of Mathematics

Year 7 Number 1 Homework History of Mathematics

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1. Year 7 Number 1HomeworkHistory of Mathematics

2. Mathematics did not just happen, it has evolved. For your first maths homework, you are going to look at one part of the history of mathematics. Choose a period of history from the next page and then select a suitable task(s). This will be an opportunity to impress with the standard of your work. Don’t settle for second best. In the side bar, you will find various web links that can help. Click on the link to access the internet.

3. Choose your topic by clicking on the picture

4. THE EGYPTIANS AND MATHEMATICS • The Egyptians are best known for the magnificent pyramids which are still standing in our modern world. The construction of these gigantic buildings needed a high level of mathematical ability which we will look at more closely. • Possible Tasks • The most famous Egyptian is the Pharoah Tutankamen. Find out as much as possible about this man and the pyramid he was buried in. • As said already, the pyramids are interesting buildings. You could make a small pyramid of your own, and look into its many properties. • To illustrate how the Egyptians used mathematics produce an attractive wall display for the classroom. • The Egyptians knew a great deal about triangles and pyramids. For the below triangles they found the rule to find out how many  were needed for a given number of levels. Can you?

5. CHINESE AND MATHEMATICS • The Chinese being separated from Europe continued to be ignored by foreigners until the late Nineteenth Century. It was then found to have a very high level of mathematical treasures among other precious possessions. • Possible Tasks • Produce a sheet of Chinese mathematics questions and answers using this web link to produce Chinese numbers. • The Chinese produced many games, notably ‘Chess’ and ‘Go’. Find out as much as you can about these two games. • The ‘Magic Square’ was used by the Chinese for many decorative purposes. Make up a magic square and use it in a Chinese design of your own. • Produce a wall display showing the Chinese using mathematics. • A Chinese story goes that an Emperor was so fascinated by the game of chess when it was shown to him that he said he would give the inventor any reward he wanted. The crafty inventor said he would like one grain of wheat for the first square of his chessboard, two for the next, four for the next, and so on. Work out how many grains of wheat the inventor would receive. Is this a reasonable price?

6. GREEKS AND MATHEMATICS • The Greek civilisation was at its height approximately 600 – 300 B.C. and during this time they produced many of the ideas governing our life today. These include such areas as philosophy, medicine and of course mathematics. The most famous Greeks are Pythagoras, Euclid and Aristotle. • Possible Tasks • Find out as much as possible about these three Greeks. (If you become struck try and find out about Pythagoras’ Theorem and Euclid’s Elements). • Using the Greek numbers, write a sheet of Greek mathematics questions. You must also, of course, provide an answer sheet. • Produce a short play starring a Greek mathematician. • Make a wall display showing the Greeks and the mathematics they used. • (A Greek Paradox). Achilles and a tortoise run a race. The tortoise runs a mile of the course before Achilles, running ten times as fast as the tortoise, starts. When Achilles has covered his first mile the tortoise will, therefore, be 0.1of a mile further ahead. When Achilles has completed this distance, the tortoise will be 0.01 of a mile ahead of him… and so on. Are we to conclude that the tortoise will always be a little ahead?

7. ROMANS AND MATHEMATICS • Much of the development of mathematics stopped after the Roman Empire came to dominate Europe. They were too busy conquering than counting. However, some mathematics continued to be used, especially if of a practical nature. The most famous examples being the aqueducts, bridges and roads which are still standing. • Possible Tasks • Roman numerals are still used today, notably to show when a television programme was made. Make a list of your favourite programmes and find the year they were filmed. • An Abacus was a counting frame used by the Romans. Find out how you use this helpful device. Perhaps write out a set of instructions. • The most famous Roman building is the Colosseum. Collect as much information about this building as possible. • Make up a set of mathematics question using Roman numerals. Remember to include an answer sheet. • Construct an attractive wall display with the theme being ‘Romans using mathematics’.