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Ms. James' class was investigating patterns in whole-number addition. Her students noticed that whenever they added an even number and an odd number the sum
Ms. James' class was investigating patterns in whole-number addition. Her students noticed that whenever they added an even number and an odd number the sum was an odd number. Ms. James asked her students to explain why this claim is truc for all whole numbers. After giving the class time to work, she asked Susan to present her explanation: I can split the even number into two equal groups, and I can split the odd number into two equal groups with onc left over. When I add them together I get an odd number, which means I can split the sum into two equal groups with one left over. Part I. Which of the following best characterizes Susan's cxplanation? (Circle ONE answer.) A) It provides a gencral and cfficient basis for the claim. B) It is correct, but it would be more efficient to examine the units digit of the sum to see if it is 1,3,5,7, or 9 . C) It only shows that the claim is true for one example, rather than establishing that it is true in general. D) It assumes what it is trying to show, rather than cstablishing why the sum is odd. From Part I, explain your mathematical reasoning. Make sure to provide a clear and complete Part II. explanation. Ms. James' class was investigating patterns in whole-number addition. Her students noticed that whenever they added an even number and an odd number the sum was an odd number. Ms. James asked her students to explain why this claim is truc for all whole numbers. After giving the class time to work, she asked Susan to present her explanation: I can split the even number into two equal groups, and I can split the odd number into two equal groups with onc left over. When I add them together I get an odd number, which means I can split the sum into two equal groups with one left over. Part I. Which of the following best characterizes Susan's cxplanation? (Circle ONE answer.) A) It provides a gencral and cfficient basis for the claim. B) It is correct, but it would be more efficient to examine the units digit of the sum to see if it is 1,3,5,7, or 9 . C) It only shows that the claim is true for one example, rather than establishing that it is true in general. D) It assumes what it is trying to show, rather than cstablishing why the sum is odd. From Part I, explain your mathematical reasoning. Make sure to provide a clear and complete Part II. explanation
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