Chapter Rational Numbers and Proportional Reasoning Activity 3: How Big Is It? P
ID: 3142767 • Letter: C
Question
Chapter Rational Numbers and Proportional Reasoning Activity 3: How Big Is It? PURPOSE MATERIALS GROUPING Develop the ability to estimate the magnitude of a fraction. Oaline: Fraction Sorting Board and Fraction Cards Work in pairs. GETTING STARTED Use these rules to complete the following problems A fraction is close to if the mumerator and denominator are approximately the same sine if the denominator is about twice as large as the numerator if the namerator is very small compared to the denominator 0 THE FRACTION SORTING GAME This is a game for two players. Cut out the fraction cands and shuffle them. Students take turns placing a card in the appropriate column on the fraction sorting board and justifying each placement to the other player. Reshufle the deck and play again 1- Complete the following fractions so that they are close to, but less than, b. 100 14 2 Complete the following fractions so that they are close to, but less than, 1. d. 27 12 75 95 h. what numbers would be acceptable in place Given the fraction of so that the resulting fraction is close to bear less than l? Justify your answer EXTENSIONS l. 2. Given the fraction 3 . what numbers would be acceptable in place of so that the resulting fraction is close to h Justify your answer. Copyright O 2013 Pearson Education, Inc. All rights reservedExplanation / Answer
1. We choose the numerator/denominator such that the fraction is the greatest possible one that is less than 1/2.
a. 49/100 b. 12/25 c. 4/9 d. 6/14 e. 7/15 f. 3/7 g. 11/23 h. 8/17
2. We choose the numerator/denominator such that the fraction is the greatest possible one that is less than 1/2.
a. 26/27 b. 11/12 c. 74/75 d. 7/8 e. 9/10 f. 3/4 g. 11/12 h. 95/96
Extension 1: The number in the denominator should be nearly equal to the numerator i.e 13 for the fraction to be close to 1. The numbers could be 12,11 and maybe 10.
Extension 2: The number in thenumerator should be nearly equal to the denominator i.e 23 for the fraction to be close to 1/2. The numbers could be 11,10 and maybe 9.
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