Understanding Arrays, Area Models, and the Commutative Property

The video tutorial introduces students to arrays, area models, and the commutative property. It explains arrays as collections of objects arranged in rows and columns, and area models as unit squares tiled on a rectangle. The tutorial demonstrates how to write multiplication equations for these models and highlights the commutative property, showing that changing the order of numbers in multiplication does not affect the product. Students are encouraged to practice with slides and understand these mathematical concepts.

What is an array in the context of multiplication?

• A single line of numbers

• A collection of objects arranged in rows and columns

• A set of numbers in a circle

• A random assortment of shapes

How is an area model different from an array?

• It always uses unit squares tiled on a rectangle

• It does not represent multiplication

• It is not arranged in rows and columns

• It uses circles instead of squares

In the given example, how many rows and columns are in the array?

• 3 rows and 5 columns

• 5 rows and 3 columns

• 7 rows and 3 columns

• 3 rows and 7 columns

What is the product of the array with 3 rows and 7 columns?

• 24

• 18

• 21

• 15

How does rotating an array affect its product?

• It halves the product

• It does not change the product

• It doubles the product

• It makes the product zero

What is the total number of dots in an array with 3 rows and 5 columns?

• 15

• 20

• 10

• 25

What happens to the number of rows and columns when an array is rotated 90 degrees?

• The number of columns doubles

• The number of rows doubles

• The number of rows becomes the number of columns and vice versa

• The number of rows and columns remain the same

What is the commutative property in multiplication?

• Changing the order of numbers changes the product

• Changing the order of numbers does not change the product

• Multiplying numbers always results in zero

• Multiplying numbers always results in one

Which equation demonstrates the commutative property?

• 3 + 5 = 5 + 3

• 3 x 5 = 5 x 3

• 3 - 5 = 5 - 3

• 3 / 5 = 5 / 3

What is another name for the commutative property?

• Order property

• Associative property

• Distributive property

• Identity property