concepts and methodology in mathematics education - Nelson ...
concepts and methodology in mathematics education - Nelson ...
concepts and methodology in mathematics education - Nelson ...
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Question 4When you count back from 10 <strong>in</strong> even numbers, is zero an elementof the set of even numbers?Example: 10; 8; 6; 4 …In another next unit we will be deal<strong>in</strong>g with HCF (Highest Common Factor) <strong>and</strong> LCM (Lowest CommonMultiple) <strong>in</strong> great detail. You need to underst<strong>and</strong> <strong>and</strong> be able to work with the number <strong>concepts</strong> covered <strong>in</strong>Unit 1, so revise carefully!7. Sieve of Eratosthenes <strong>and</strong> Prime Numbers Below 100Practical ActivityEratosthenes was also a Greek astronomer. He proposed a method of "siev<strong>in</strong>g" out prime numbers. Belowthe number grid, <strong>in</strong>structions are given on how to f<strong>in</strong>d the prime numbers less than 100 us<strong>in</strong>g the Sieve ofEratosthenes.Work with a partner <strong>and</strong> discover Eratosthenes method of f<strong>in</strong>d<strong>in</strong>g prime numbers: Cross out # 1 Circle 2 <strong>and</strong> then cross out all other multiples of 2 (They can not be prime as they all have the factor 2) Circle 3 <strong>and</strong> then cross out all other multiples of 3. Circle 5 <strong>and</strong> then cross out all other multiples of 5. Circle 7 <strong>and</strong> then cross out all other multiples of 7.Circle all numbers on the hundred square which have not yet been crossed outTest each of the circled numbers to see if there are any factors other than 1 <strong>and</strong> "the number itself".What did you f<strong>in</strong>d?0 1 2 3 4 5 6 7 8 910 11 12 13 14 15 16 17 18 1920 21 22 23 24 25 26 27 28 2930 31 32 33 34 35 36 37 38 3940 41 42 43 44 45 46 47 48 4950 51 52 53 54 55 56 57 58 5960 61 62 63 64 65 66 67 68 6970 71 72 73 74 75 76 77 78 7980 81 82 83 84 85 86 87 88 8990 91 92 93 94 95 96 97 98 9927
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