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Year 7 Term 1 Unit 1 Lesson 1

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Year 7 Term 1 Unit 1 Lesson 1

1. 1. Unit 1: Magic squares Lesson 1: It’s magic 7.1.1
2. 2. The objective of this lesson is: <ul><li>to represent problems mathematically. </li></ul>7.1.1
3. 3. Make it magic 12 7 8 13 9 5 10 11 6 What is the total of these three numbers? 27 27 27 27 27 27 27 27 7.1.1
4. 4. More magic 7 13 9 5 10 11 6 12 8 If all the straight lines of numbers add up to the same total then the square is called a ‘ magic square ’. The total is called the ‘ magic total ’. 27 27 27 27 27 27 27 27 7.1.1
5. 5. Which of these squares are magic squares? What are their magic totals? 60 84 More magic 7.1.1 26 34 20 6 30 14 16 24 10 3 12 9 5 8 15 4 14 10 31 29 28 27 30 25 29 27 26
6. 6. 13 How can the middle square be made magic? Change 12 … 3 9 5 8 15 4 14 10 60 84 12 12 to 13 7.1.1 More magic 26 34 20 6 30 14 16 24 10 31 29 28 27 30 25 29 27 26
7. 7. It’s magic! 7.1.1 More magic
8. 8. 13 Find the missing numbers in each square. What are the magic totals? 5 11 14 17 8 23 11 17 20 2 9 12 4 16 7 11 14 5 11 10 9 8 15 7 13 12 42 30 12 6 27 7.1.1 More magic
9. 9. 13 What is a quick way of finding the magic total? 5 11 17 8 23 11 17 20 2 12 4 16 7 11 14 5 11 9 8 15 7 13 12 42 30 12 6 27 Multiply the centre number by 3 14 9 10 14 9 10 7.1.1 More magic
10. 10. The magic square that uses each of the numbers 1–9 is attributed to Emperor Yu. He reigned in China in about 2200BC. The study of magic squares has continued since then using squares of different sizes. 7.1.1 More magic
11. 11. <ul><li>In the next part of the lesson you will: </li></ul><ul><li>identify which squares are magic </li></ul><ul><li>complete magic squares </li></ul><ul><li>use number sequences to make magic squares. </li></ul>7.1.1 More magic Magic total = 3 x centre number