Standards Icon Benchmark #:MA.3.A.1.1

  • General Information
    • Benchmark Number: MA.3.A.1.1
      Benchmark Description: Model multiplication and division including problems presented in context: repeated addition, multiplicative comparison, array, how many combinations, measurement, and partitioning.


      Subject Area: Mathematics
      Grade Level: 3
      Body of Knowledge: Algebra
      Big Idea: BIG IDEA 1 - Develop understandings of multiplication and division and strategies for basic multiplication facts and related division facts.
      Date Adopted or Revised: 09/07
      Date of Last Rating: 06/07
      Cognitive Complexity: Moderate   -  What does this mean?
      Status: State Board Approved
      Assessed? Assessed
      Remarks/Examples: Repeated addition: 4 bags of cookies with 8 in each bag. How many cookies are there?

       

      Multiplicative comparison: Sam has 8 baseball cards. Elise has 8 times as many. How many does Elise have?

       

      Array: A marching band has 8 rows with 7 students in each row. How many band members are marching?

       

      Combination: Patrick is getting dressed for school. He has 4 different colored shirts blue, red, yellow and green. He has blue, tan and black shorts. How many combinations of a shirt and a pair of shorts can he make?

       

      Measurement: There are 35 bugs. You will put 5 bugs in each jar. How many jars will you need?

       

      Partitive: You have 72 coins and 9 jars. If you want to place an equal number of coins in each jar, how many coins will you put in each jar?

       

  • RELATED RESOURCES (19)

  • Test Item Specifications
    • Reporting Category: Number and Operations
      Item Type(s):
      This benchmark will be assessed using: MC items.
      Clarification:

      Students will identify models of and/or solve problems involving multiplication and/or division situations.

      Examples might include, but are not limited to

      • Repeated addition: 4 bags of cookies with 8 in each bag. How many cookies are there? (8 + 8 + 8 + 8 = 32)
      • Multiplicative comparison (also known as scalar model): Sam has 8 baseball cards. Elise has 8 times as many. How many does Elise have?
      • Array: A marching band has 8 rows with 7 students in each row. How many band members? How many tiles would be in a floor that is 8 rows by 9 columns?
      • Combination: How many different combinations of one flavor of ice cream and one topping can be made from 4 different flavors and 5 different toppings?
      • Measurement: If there are 35 bugs all together and Robbie puts 5 bugs in each jar, how many jars does he need to hold all of the bugs?
      • Partitive: Robbie has 35 bugs and 7 jars. He will put all of the bugs in jars. If he puts the same number of bugs in each jar, how many bugs are in each jar?

      Other examples might include

      • Finding number of squares (area) of wrapping paper; using rate models, e.g., traveling 6 miles each day for 3 days; showing how 4 x 6 can be represented by 6 + 6 + 6 + 6 or 6 x 4 can be represented by 4 + 4 + 4 + 4 + 4 + 4.
      Content Limits: Items may include whole-number multiplication facts from 0 x 0 through 9 x 9 and the related division facts.

      Items may include division problems with remainders expressed only as whole numbers. Items will not require interpretation of the remainder.
      Stimulus Attributes: Items may use graphics, symbols, expressions, or equations.

      Items may be set in a real-world or mathematical context.
      Response Attributes: Responses may include expressions, equations, graphic representations, or numerical values.
      Prior Knowledge: Items may require the student to apply mathematical knowledge described in the Standards from lower grades. This benchmark requires prerequisite knowledge from MA.1.A.1.1, MA.1.A.1.2, MA.1.A.1.3, MA.2.A.2.1, and MA.2.A.6.1.

  • SAMPLE TEST ITEMS (1)
    • Test Item # Question Difficulty Type
      Sample Item 1: Nathan paid $2 for each of the 3 books he bought at a bookstore. He can use the expression 3 x 2 to...   ...read more NA MC : Multiple Choice

  • RELATED COURSES (2)

  • RELATED Access Points (5)


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