1. Grade 7 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 (7.RP.A.3) What is the final answer? At the school carnival students guessed how many marbles are in a jar. Marlo guessed 84 when it was actually 80. What percent of error did Marlo have? Use proportional relationships to solve multistep ratio and percent problems. Type answer here Submit Answer Ask for Help (5)

4. Step 1 of 4. (4.NBT.B.4) The problem we are working on is: At the school carnival students guessed how many marbles are in a jar. Marlo guessed 84 when it was actually 80. What percent of error did Marlo have? The first step in finding the percent of error is to find the amount of the error. What is the difference between Marlo’s guess and the actual answer? Fluently add and subtract multi-digit whole numbers using the standard algorithm. Submit AnswerNext Hint (4) Type answer here

5. Here’s a hint! Marlo guessed 84. The actual number of marbles was 80. How much too high was Marlo’s guess? Next HintBack to Bop

6. Here’s a hint! To find the difference between two numbers, subtraction is used. Previous HintNext HintBack to Bop

7. Step 2 of 4. (6.RP.A.3a) Make tables of equivalent ratios, find missing values in the tables, and plot the pairs of values using tables to compare ratios. Submit Answer Next Hint Marlo’s guess was 4 higher than the actual number of 80 marbles in the jar. To find the percent of error, we need to know what percent of 80 the error of 4 is. If 80 is 100% of the marbles, how many marbles will 50% represent? Type answer here (40 marbles) Percent Marbles 100%80 50% ?

8. Here’s a hint! Diagrams can be helpful in seeing how the numbers and percents in a problem are related. Next HintBack to Bop 0% 100% 0 marbles 80 marbles

9. Here’s a hint! In this problem, 100% = 80. We can divide both numbers by the same value and maintain the equality. Previous HintNext HintBack to Bop

10. Step 3 of 4. (6.RP.A.3a) Make tables of equivalent ratios, find missing values in the tables, and plot the pairs of values using tables to compare ratios. Submit Answer Next Hint We are trying to determine what percent of 80 marbles is represented by 4 marbles. We know that 50% of the marbles would be 40 marbles. What would be a good next step? (Divide both values by 10) Percent Marbles 100% 80 50% 40 ÷ 2 ? ? ? ?  Divide both values by 8.  Multiply both values by 4.  Divide both values by 10.  Divide both values by 25.

11. Here’s a hint! Remember, we are trying to find the percent associated with 4 out of 80 marbles. What mathematical operation will result in 4 marbles? Next HintBack to Bop 100% 80 ÷ 2 ÷ ? ? 4 50% 40 Percent Marbles

12. Step 4 of 4. (6.RP.A.3a) Make tables of equivalent ratios, find missing values in the tables, and plot the pairs of values using tables to compare ratios. Submit AnswerNext Hint The problem we are working on is: At the school carnival students guessed how many marbles are in a jar. Marlo guessed 84 when it was actually 80. What percent of error did Marlo have? Use your plan of dividing by 10. What percent of error did Marlo have? Type answer here (5) Percent Marbles 100% 80 50% 40 ÷ 2 ? 4 ÷ 10

13. Here’s a hint! Percents are examples of proportional relationships. If both numbers are multiplied or divided by the same value, we end up with an equivalent pair of numbers. Next HintBack to Bop

14. Here’s a hint! Remember, you need to divide by 10 to find the percent of error. Previous HintNext HintBack to Bop

15. Here’s a hint! 40 marbles divided by 10 results in the 4 marble error Marlo made. Divide 50% by 10 to see what percent that is. Previous HintNext HintBack to Bop