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| === Activity 3 Fraction representation and rational and irrational numbers === | | === Activity 3 Fraction representation and rational and irrational numbers === |
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− | '''''Learning''''' | + | '''''Learning Objectives''''' |
− | Objectives | |
− | Understand fraction representation and rational and irrational
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− | numbers
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− | '''''Materials and'''''
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− | resources required
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| + | Understand fraction representation and rational and irrational numbers <br> |
| + | '''''Materials and resources required''''' |
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− | Thread | + | Thread of a certain length. |
− | of a certain length. | |
− | | |
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− | '''''Pre-requisites/''''' | + | '''''Pre-requisites/Instructions Method''''' |
− | Instructions Method
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− | | |
− |
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− | Construct
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− | Koch's snowflakes .
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− | | |
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| + | Construct Koch's snowflakes . |
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| Start | | Start |
| with a thread of a certain length (perimeter) and using the same | | with a thread of a certain length (perimeter) and using the same |
| thread construct the following shapes (see Figure). | | thread construct the following shapes (see Figure). |
− |
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| [[Image:KOER%20Fractions_html_m1a6bd0d0.gif]] | | [[Image:KOER%20Fractions_html_m1a6bd0d0.gif]] |
− |
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| See | | See |
| how the shapes can continue to emerge but cannot be identified | | how the shapes can continue to emerge but cannot be identified |
− | definitely with the same perimeter (length of the thread). | + | definitely with the same perimeter (length of the thread). |
− | | |
− |
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| Identify | | Identify |
− | the various places where pi, "e" and the golden ratio | + | the various places where pi, "e" and the golden ratio occur |
− | occur | |
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| == Evaluation == | | == Evaluation == |
| # How many numbers can I represent on a number line between 1 and 2. | | # How many numbers can I represent on a number line between 1 and 2. |
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| # Introducing Fractions Using Share and Measure Interpretations: A Report from Classroom Trials . Jayasree Subramanian, Eklavya, Hoshangabad, India and Brijesh Verma,Muskan, Bhopal, India | | # Introducing Fractions Using Share and Measure Interpretations: A Report from Classroom Trials . Jayasree Subramanian, Eklavya, Hoshangabad, India and Brijesh Verma,Muskan, Bhopal, India |
| # Streefland, L. (1993). “Fractions: A Realistic Approach.” In Carpenter, T.P., Fennema, E., Romberg, T.A. (Eds.), Rational Numbers: an Integration of Research. (289-325). New Jersey: Lawrence, Erlbaum Associates, Publishers. | | # Streefland, L. (1993). “Fractions: A Realistic Approach.” In Carpenter, T.P., Fennema, E., Romberg, T.A. (Eds.), Rational Numbers: an Integration of Research. (289-325). New Jersey: Lawrence, Erlbaum Associates, Publishers. |
| + | |
| + | [[Category:Fractions]] |