Standard #: MA.4.A.6.2 (Archived Standard)


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Use models to represent division as:
  • the inverse of multiplication
  • as partitioning
  • as successive subtraction


Remarks


The inverse of multiplication: 4 x 45 = 180, 180 ÷ 4 = 45, and 180 ÷ 45 = 4.

 

Partitioning: We can share 180 things (possibly represented by base-ten blocks) evenly among 4 groups and determine the number of items in each group.

 

Successive subtraction: We can find the quotient of 180 ÷45 by repeatedly subtracting 45 and counting the number of groups of 45 subtracted before reaching zero.

 

 

The area model is a useful model for exploring the inverse relationship between multiplication and division.



General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 4
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Supporting Idea: Number and Operations - Number and Operations
Date Adopted or Revised: 09/07
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    Item Type(s): This benchmark may be assessed using: MC item(s)
    N/A

    Clarification :
    Students will identify inverse equations or expressions for division or multiplication problems.

    Students will use partitive division to solve a division problem.

    Students will use successive subtraction to solve a division problem.
    Content Limits :
    Items will include only whole numbers and whole-number remainders.

    Items will not require students to interpret a remainder.

    Items may assess how to translate a word problem to a multiplication or division expression or equation.

    Items will not include computing solutions to long-division problems.

    Items may be a translation from arrays, equal-sized groups, area, or visual representations.
    Stimulus Attributes :
    Graphics should be used in some of these items, as appropriate.


Sample Test Items (1)

Test Item # Question Difficulty Type
Sample Item 1 Ms. Parker is buying ceramic tiles to put on the floor of her shop. The tiles come 8 to a box.

graphic
 

ms. parker needs 176 tiles. which of the following could be used to find n, the number of boxes of tiles ms. parker needs to buy?
N/A MC: Multiple Choice


Related Resources

Teaching Idea

Name Description
Hand Spans, A Lesson for Third and Fourth Graders (Division and Measurement) A measurement activity to give students experience with the grouping model of division and practice with rulers and tape measures.
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