302a pp section 5.2 Fraction III

302a pp section 5.2 Fraction III - 7/11: 5.5/11 is half,...

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Fractions III
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Agenda Fraction concepts from 5.2 Fraction models reviewed Fraction operations examined Exploration 5.12 Part 1. (Page 114)
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Pictorial Models In the Class Notes, we saw questions dealing with pictorial models. Show 5/6 and 7/2 using each pictorial model: Part-whole Discrete Number line (length)
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Pictorial Models 5/6 7/2 0 2/6 4/6 1 0 1 2 3 4
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Exploration 5.11 Look at Part 2 #1a. (p. 113) Decide whether each is closer to 0, closer to 1/2, or closer to 1. After you have made your guesses, click to see my reasoning.
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Reasoning 3/8: 4/8 is half, so 3/8 is close to 1/2 . 2/7: 3.5/7 is half, and so 2/7 is closer to 3.5/7 than 0/7. Close to 1/2 . 1/3: 1.5/3 is half, and so 1/3 is closer to 1.5/3 than 0/3. Close to 1/2 . 21/50: 25/50 is half, and 21/50 is close to 25/50, so close to 1/2. OR: 21/50 is close to 20/50, which is 2/5, 2/5 is closer to 2.5/5 than to 0/5, so 21/50 is close to 1/2.
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Reasoning 4/5: 2.5/5 is half, and 4/5 is closer to 5/5 than 2.5/5, so 4/5 is close to 1 .
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Unformatted text preview: 7/11: 5.5/11 is half, and so 7/11 is closer to 5.5/11 than 11/11, so 7/11 is close to 1/2. 31/181: 90.5/181 is half, and so 31/181 is closer to 0/181 than 90.5/181. So, 31/181 is close to 0. OR 31/181 is close to 30/180, which is 1/6. 1/6 is closer to 0 than 3/6, so 31/181 is close to 0. Try these 5/75: 5/75 = 1/15, so close to 0 . 39/393: close to 40/400, or 1/10, so close to 0 . 450/473: close to 45/47, nearly 1. 12/21: 11.5/21 is half, so 12/21 is nearly 1/2 . 73/153: close to 75/150 which is 1/2 . 94/694: close to 100/700, which is 1/7. Closer to 0. Now, tell whether greater or less than 1/2 41/84 41/84 < 1/2 37/111 37/111 < 1/2 294/580 294/580 > 1/2 490/999 490/999 < 1/2 8765/17353 8765/17353 > 1/2 Exploration 5.12 Do Part 1 #1. Write a reason for each decision in a, b, c, and d. If you do this with a partner, list each other’s name on your paper....
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This note was uploaded on 11/29/2009 for the course HIST 110 taught by Professor Staff during the Spring '08 term at University of Arizona- Tucson.

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302a pp section 5.2 Fraction III - 7/11: 5.5/11 is half,...

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