Arrays and Shares Unit

Fourth Grade

 

 

 

 

 

 

Correlation to the Missouri Frameworks:

Number Sense

  1. Counting and grouping strategies.
    1. Mental computation and estimation strategies.
      • Determine a reasonable estimate to describe a quantity.
    2. Place Value
      • How to represent numbers using models, and/or drawings.
      1. Basic computation facts of multiplication and division with whole numbers.
        • The meaning of multiplication and division using real objects.
        • Multiple strategies for solving basic facts for multiplication

        ( repeated addition, array, grouping)
          • The zero property for multiplication and division.
          • The commutative property for multiplication. (2x3=3x2)
          • How to use inverse operations. 4x5=20 20/5=4

        Patterns and Relationships

        1. Mathematical ideas may be represented with visual models.
          • Visual models used to show real-life objects.

          12=2 six packs 12=one dozen eggs 12=dime and two pennies

          1. Information can be organized to look for a pattern or relationship.
            • Put information into a chart, table, and organized list to look for a pattern or relationship or to solve a problem.
            • Use a function machine for input/output charts.
            • Use a hundreds chart to show patterns and relationships in the natural number system.
          1. Patterns can be geometric and or numeric.
            • Growing and shrinking patterns.

           

          Mathematical Systems and Number Theory

          1. Basic operations of multiplication and division are related to each other.
            • Fact families help explain inverse relationships.
            • Commutative property for multiplication.
            • Division is a form of repeated subtraction.
            • Multiplication is a form of repeated addition.
            • The distributive properties can be used to solve larger multiplication problems. (14x6)= (10x6) + (4x6)
          2. The concepts of factors and multiples in relation to multiplication and division.
            • Skip counting is a way of listing multiples.
            • A factor is a divisor of a number.
            • A factor is a whole number that divides evenly into another.
            • Some numbers have only 2 factors.
            • A multiple of any number is the product of that number and another whole number. 3x1=3 3x2=6 3x3=9
            • Divisibility rules help us understand multiplication and division relationships.
            • A number is divisible by another number if there is no remainder.

          Data Analysis

          1. Strategies to organize data.
            • Sorting, categorizing, grouping.
            • Comparing and contrasting using Venn diagrams.
            • Constructing and completing charts, lists, graphs, and tables.

             

             

             

             

             

             

             

             

             

             

             

             

             

             

             

             

             

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