A splitting and counting activity for 3rd grade Common Core State Standards for Mathematics. In this activities students explore real world problems regarding equally distributing objects into groups. For example "If you want to share 12 cherries with 4 children, then how many cherries does each child receive?" The 3rd grade students explore multiplication and division by first distributing the cherries one by one to each group and make connections with the determining the unknown whole number in a multiplication or division equation relating three whole numbers.
i.e. 4 × ? = 12 and 12 ÷ 4 = ?
Cluster: 1, 2, 3, & 4
Operations and Algebraic Thinking
Represent and solve problems involving multiplication and division.
1. Interpret products of whole numbers, e.g., interpret 5 × 7 as the total
number of objects in 5 groups of 7 objects each. For example, describe
a context in which a total number of objects can be expressed as 5 × 7.
2. Interpret whole-number quotients of whole numbers, e.g., interpret
56 ÷ 8 as the number of objects in each share when 56 objects are
partitioned equally into 8 shares, or as a number of shares when
56 objects are partitioned into equal shares of 8 objects each. For
example, describe a context in which a number of shares or a number of
groups can be expressed as 56 ÷ 8.
3. Use multiplication and division within 100 to solve word problems in
situations involving equal groups, arrays, and measurement quantities,
e.g., by using drawings and equations with a symbol for the unknown
number to represent the problem.1
4. Determine the unknown whole number in a multiplication or division
equation relating three whole numbers. For example, determine the
unknown number that makes the equation true in each of the equations 8
× ? = 48, 5 = � ÷ 3, 6 × 6 = ?.
Understand properties of multiplication and the relationship
between multiplication and division.
Created by: Nancy May Smith
July 7, 2013
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