3.OA.B.6 Understand the Relationship Between Multiplication and Division

Evidence Statement 3.C.4-2 Distinguish correct explanation/reasoning from that which is flawed, and if there is a flaw in the arugment, present correced reasoning. (For example, some flawed student reasoning is presented and the task is to  correct and improve it.

Kaiden's Bookcase

Part A

Kaiden has 54 books on his bookcase.  He has an equal number of books on each of 6 shelves.  Kaiden uses 54 ÷ 6 =? to figure out how many books are on each shelf.

• He thinks the ? equals 8. 
• Explain why Kaiden'ts reasoning is incorrect.

Enter your explanation in the space provided. 

Part B

Find the correct answer using Kaiden’s equation.

Enter your answer in the space provided

Part C

How would you use multiplication to find the number of books on each shelf?

Enter your explanation in the space provided. 

Student Copy

Scoring Rubric Part A

Score 1

Student response includes the following element.

• Reasoning Component = 1 point

• The student provides a valid explanation of why Kaiden is incorrect.

Score 0

Student response is incorrect.

Scoring Rubric Part B

Score 1

Student response includes the following element.

• Computation Component = 1 point

• The student provides the correct number of books on each shelf, 9 books.  

Score 0

Student response is incorrect.

Scoring Rubric Part C

Score 1

Student response includes the following element.

• Reasoning Component = 1 point

• The student provides a multiplication equation to find the number of books on each shelf.

Sample student response:

9 x 6 =54 or 6 x =54

Score 0

Student response is incorrect.