Lesson 6

Walking Around Shapes

Est. Class Sessions: 3

Daily Practice and Problems

Teacher Notes
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TIMS Challenge

Have Digit Cards 0–9 available for students to use for this DPP.

  1. The largest sum is 9753 + 8642 = 18,395. Other addends may give the same sums and are also correct.
  2. The smallest sum is 1046 + 2357 = 3403 (or 1357 + 0246 = 1603 if leading zeros are allowed). Other addends may give the same sums and are also correct.
    1. Possible solution: The largest possible sum is 9999 + 9999 = 19,998. Any other addition problem with a sum greater than 15,000 is also correct (e.g., 8001 + 7000 = 15,001).
    2. If you cannot use 0 in the thousands place, the smallest possible sum is 1000 + 1000 = 2000.
  4. Answers will vary.

T. Largest and Smallest Sums

Rosa played the Digits Game and used this playing board. She used the digits 0–9 to make her board. She used each digit only once.

  1. What is the largest sum she can make?
  2. What is the smallest sum she can make?
  3. If she can use a digit more than once:
    1. How can she arrange the digits to make a sum larger than 15,000?
    2. How can she arrange her digits to make the smallest sum if the digit in the thousands place cannot equal 0?
  4. Tell how you decided where to place the digits in Question 3A or 3B.