1. Grade 5 Bop Problem and Directions for Duplicating Submitted by:

2. Directions for Duplicating Bops Changing the values on the bop’s original problem, so that the problem is numerically different, but requires the same skills as the original bop to solve. This means that the duplicated bop must not fundamentally alter the scaffolding (or problem-solving steps, visual aids, and hints) of the original bop. Changing the values in the final answer box. If it is a multiple choice question, both the correct and incorrect answers should be changed, as well as the relative positioning of these answers. If it is a question which requires students to enter values into a text box, then all possible correct answers must be updated to reflect the new solution. For each step in the bop, change the values in each critical thinking statement and hints to reflect the duplicate problem, including all values contained in the text of the critical thinking statement, the hints, multiple choice or text-box answers, and incorrect answer responses. This should be done in such a way that the only thing changing in the bop are the numbers themselves, not the wording, labels, units, or variables.

3. Bop Problem (5.NBT.A.1) What is the final answer? How many times greater is the value of the digit 6 in 5,643 than the value of the digit 6 in 2,763? Submit AnswerAsk for Help Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its left. (  10 times larger)  1/100 as large  1/10 as large  10 times larger  100 times larger

4. Step 1 of 3. (4.NBT.A.2-1) Let’s look at one number at a time. What value does the digit 6 have in 5,643? Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. 5,643 2,763 Submit AnswerNext Hint (  600)  6  60  600  6000

5. Here’s a hint! We need to determine the place value of the 6 in 5,643. Next HintBack to Bop

6. Here’s a hint! The value of a digit in a number is found by multiplying the digit by the place value. For example, suppose we want to find the value of the “2” in 243. We could think about the problem this way. Previous HintNext HintBack to Bop

7. Here’s a hint! We can also think about the place value in terms of powers of 10. Previous HintNext HintBack to Bop

8. Here’s a hint! We can use powers of ten to find the value of digits. For example, to find the value of “2” in 243. Previous HintNext HintBack to Bop

9. Step 2 of 3. (4.NBT.A.2-1) We’ve found the digit 6 in 5,643 has a value of 600. What is the value of the digit 6 in 2,763? Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. 5,643 2,763 Submit AnswerNext Hint (  60)  100  60  10  6

10. Here’s a hint! We need to determine the place value of the 6 in 2,763. Next HintBack to Bop

11. Here’s a hint! The value of a digit in a number is found by multiplying the digit by the place value. For example, suppose we want to find the value of the “2” in 243. We could think about the problem this way. Previous HintNext HintBack to Bop

12. Here’s a hint! We can also think about the place value in terms of powers of 10. Previous HintNext HintBack to Bop

13. Here’s a hint! We can use powers of ten to find the value of digits. For example, to find the value of “2” in 243. Previous HintNext HintBack to Bop

14. Step 3 of 3. (4.NBT.A.1) We know that the digit 6 in 5,643 has a value of 600 and the digit 6 in 2,763 has a value of 60. How many times greater is the value of the digit 6 in 5,643 than the value of the digit 6 in 2,763? Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.. 5,643 2,763 Submit AnswerNext Hint (  10 times larger)  1000 times larger  100 times larger  10 times larger  1/10 as large

15. Here’s a hint! Let’s put the numbers in a place value chart. Next HintBack to Bop Hundred Thousands Ten Thousands One Thousands Hundreds Tens Ones 100,00010,0001,000100101 10 5 10 4 10 3 10 2 10 1 10 0 5643 2763

16. Here’s a hint! In 5,643 the 6 is in the hundreds place. In 2,763 the 6 is in the tens place. Let’s think about 100 in terms of 10. Previous HintNext HintBack to Bop

17. Here’s a hint! We can also think about the problem this way: Previous HintNext HintBack to Bop 5,643 2,763 600 = 60 ● ?

18. Here’s a hint! Each power of 10 is 10 times larger than the power before. Previous HintNext HintBack to Bop