Your child will be learning about multiplication, division, and area over the course of several units. During this unit, your child will develop an understanding of the multiple meanings of multiplication and division of whole numbers through activities and problems involving equal –sized groups, arrays, and area sized models. An understanding of the commutative property will also be developed as arrays are built to solve problems.
Your child will also solve problems to develop an understanding of the connection between multiplication and the measurement of area. He/she will recognize area as an attribute of two dimensional regions, and will measure the area of a shape by finding the total number of samesize units of area required to cover the shape without gaps or overlaps (a square with sides of unit length being the standard unit for measuring area). Finally, your child will understand that rectangular arrays can be decomposed into identical rows or into identical columns. By decomposing rectangles into rectangular arrays of squares, students will connect area to multiplication.
Printable Parent Letter
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Key Vocabulary: Array, Area, Commutative Property of Multiplication, Dividend, Divisor, Factor, Multiple, Partition, Product, Square Unit, Quotient
Students need to:
 Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. Describe a context in which a total number of objects can be expressed as 5 x 7.
Multiplication Arrays 
Equal Groups 
Number Lines 
 Identify arithmetic patterns (including patterns in the addition and multiplication table) and explain them using properties of operations.
Patterns 
Describing Patterns 
 Apply properties of operations as strategies to multiply and divide. If 6 x 4 is known, then 4 x 6 = 24 is also known. (commutative property of multiplication)
Repeated Addition 
Commutative Property 
Number Lines 
 Interpret wholenumber quotients of whole numbers. For example, 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 equally into equal shares of 8 objects each. Describe a context in which a number of shares or a number of groups can be expressed as 56/8
Multiplication and Division
Relationships 
 Use multiplication and division within 100 to solve word problems in situations involving equal groups, and arrays. Use drawings and equations with a symbol for the unknown number to represent the problem.
Solving with Arrays 
Solving with Bar Models 
Area
Students need to:
 Recognize area as an attribute of plane figures and understand concepts of area and measurement.
 A square with length 1 unit, called ‘a unit square”, is said to have “one square unit” of area, and can be used to measure area.
Square Units 
Using Squares 
 A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.
Squares as Units 
Counting Square Units 
 Measure areas by counting unit squares (square cm, square m, square in, square ft., and improvised units).
 Relate area to the operations of multiplication and addition.
 Find the area of a rectangle with wholenumber side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths
Rows and Columns 
Multiplying Rows and Columns 
