This document discusses models for multiplication including rectangular arrays, area models, and square numbers. It provides examples of using rectangular arrays to model 3 rows of 5 columns equaling 15 total objects, and using area to model 4 squares on each side of a rectangle for a total of 4 x 4 or 16 squares. Square numbers like 4 (2x2), 9 (3x3), and 16 (4x4) are also covered as a model for multiplication.

1. Multiplication Patterns
Investigation #3; p. 131-135
4 x 3 = 3 x 4

2. Models of Multiplication
Rectangular Array
Area
Square Numbers or
Perfect Squares

3. Area
4 squares on this side
4squaresonthisside
4 squares x 4 squares

4. Rectangular Array
5 columns
3 rows
Multiplication Model
3 rows of hearts
x 5 columns of hearts
15 hearts
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15

5. Square Numbers
or
Perfect Squares
12 22
32

6. Perimeter Song to Remember