Interpret and compute quotients of fractions, and solve word
problems involving division of fractions by fractions, e.g., by using
visual fraction models and equations to represent the problem. For
example, create a story context for (2/3) ÷ (3/4) and use a visual fraction
model to show the quotient; use the relationship between multiplication
and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3.
(In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person
get if 3 people share 1/2 lb of chocolate equally? How many 3/4cup
servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of
land with length 3/4 mi and area 1/2 square mi?
Subject Area: Mathematics
Grade: 6
DomainSubdomain: The Number System
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Apply and extend previous understandings of multiplication and division to divide fractions by fractions. (Major Cluster) 
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Date Adopted or Revised: 02/14
Content Complexity Rating:
Level 2: Basic Application of Skills & Concepts

More Information
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes
Remarks/Examples
Examples of Opportunities for InDepth FocusThis is a culminating standard for extending multiplication and division to fractions.
Fluency Expectations or Examples of Culminating Standards
Students interpret and compute quotients of fractions and solve word problems involving division of fractions by fractions. This completes the extension of operations to fractions.
TEST ITEM SPECIFICATIONS

Item Type(s):
This benchmark will be assessed using:
MC
,
EE
item(s)
N/A
 Assessment Limits :
At least the divisor or dividend needs to be a nonunit fraction. Dividing a unit fraction by a whole number or vice versa (e.g., ÷ ?? or ?? ÷ , where a is a whole number) is below grade level.  Calculator :
No
 Context :
Allowable
SAMPLE TEST ITEMS (4)
 Test Item #: Sample Item 1
 Question:
An expression is shown.
What is the value of the expression?
 Difficulty: N/A
 Type: EE: Equation Editor
 Test Item #: Sample Item 2
 Question:
An expression is shown.
What is the value of the expression?
 Difficulty: N/A
 Type: EE: Equation Editor
 Test Item #: Sample Item 3
 Question:
A rectangular plot of land has an area of square kilometers and a length of kilometer.
What is the width of the plot of land?
 Difficulty: N/A
 Type: EE: Equation Editor
 Test Item #: Sample Item 4
 Question:
Which question can be answered using the expression ?
 Difficulty: N/A
 Type: MC: Multiple Choice