How can we help?

You can also find more resources in our Help Center.

33

12

30

15

Charlie went to his grandfather's farm. Planted in the field…

Over by the pond, there were three groups of ducks. Each grou…

There were three stacks of hay bales by the wall. Each stack…

There were five corrals that each had three horses in them. H…

33

Charlie went to his grandfather's farm. Planted in the field…

12

Over by the pond, there were three groups of ducks. Each grou…

43

30

15

6

Charlie went to his grandfather's farm. Planted in the field…

There were three stacks of hay bales by the wall. Each stack…

There were five corrals that each had three horses in them. H…

There were two groups of puppies. Each group had three puppie…

43

Charlie went to his grandfather's farm. Planted in the field…

30

There were three stacks of hay bales by the wall. Each stack…

Base

power

power of 10

cubed

In a power, the number used as a factor:

A number obtained when raising a power to an exponent

A number like 10, 100, 1,000 and so on. Result of only using…

A number raised to the 3rd power

Base

In a power, the number used as a factor:

power

A number obtained when raising a power to an exponent

multiplication

division

regrouping

twice

combining of equal groups ... a shortcut used for repeated addit…

breaking a number into equal groups shortcut for repeated sub…

To exchange amounts of equal value to rename a number... Example…

multiplication

combining of equal groups ... a shortcut used for repeated addit…

division

breaking a number into equal groups shortcut for repeated sub…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplie…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplie…

multiplication

factor

product

Commutative Property of Multiplication

the operation on two numbers to find their product

a number that is multiplied by another number. Also a number…

the answer to a multiplication problem

The property that states that the order in which two numbers…

multiplication

the operation on two numbers to find their product

factor

a number that is multiplied by another number. Also a number…

commutative property of multiplication

associative property of multiplication

identity property of multiplication

zero property of multiplication

the order of factors can be changed and the product remains t…

factors can be regrouped and the product remains the same

any number multiplied by 1 is the same number

any number multiplied by zero is zero

commutative property of multiplication

the order of factors can be changed and the product remains t…

associative property of multiplication

factors can be regrouped and the product remains the same

Multiplication

Factor

Product

Array

an operation of two numbers to find their product

a number that is multiplied by another number

the answer to a multiplication problem

an arrangement of items into equal rows and columns

Multiplication

an operation of two numbers to find their product

Factor

a number that is multiplied by another number

pattern

fact family

factor

factor pair

a set of shapes or numbers repeated in a predictable way

a group of multiplication facts together with their related d…

a number that is multiplied by another number resulting in a…

two factors of a number whose product is that number

pattern

a set of shapes or numbers repeated in a predictable way

fact family

a group of multiplication facts together with their related d…

Associative Property of Multiplication

Distributive Property

Multiples

Commutative Property of (Addition) and…

: 3 + ( 5 + 4 ) ... 3 + 9 ... =12... is the same as...... ... ( 3 + 5 )…

5 x (4+3) is the same as (5x4 (5x3)... Here, 5x4=20 and 5x3=15 2…

15 12... / \ / \... 5 3 6 2

•addition 3+4 will give you the same sum if written 4+3... •mult…

Associative Property of Multiplication

: 3 + ( 5 + 4 ) ... 3 + 9 ... =12... is the same as...... ... ( 3 + 5 )…

Distributive Property

5 x (4+3) is the same as (5x4 (5x3)... Here, 5x4=20 and 5x3=15 2…

array

equal groups

factor

tree diagram

an ARRAngement of objects into equal ROWS and COLUMNS

GROUPS that have the SAME number of objects.

A NUMBER that is MULTIPLIED by another number.

A way to show ALL POSSIBLE combinations using "BRANCHES".

array

an ARRAngement of objects into equal ROWS and COLUMNS

equal groups

GROUPS that have the SAME number of objects.

equal groups

equation

array

row

Groups that have the same number of objects, used in multipli…

A statement that two expressions are equal.

An arrangement of objects, pictures, or numbers in equal colu…

A part of a table or array that contains items arranged horiz…

equal groups

Groups that have the same number of objects, used in multipli…

equation

A statement that two expressions are equal.

1x-1,2,3,4,5,6,7,8,9,10,11,12

2x-1,2,3,4,5,6,7,8,9,10,11,12

3x-1,2,3,4,5,6,7,8,9,10,11,12

4x-1,2,3,4,5,6,7,8,9,10,11,12

=1,2,3,4,5,6,7,8,9,10,11,12

=2,4,6,8,10,12,14,16,18,20,22,24

=3,6,9,12,15,18,21,24,27,30,33,36

=4,8,12,16,20,24,28,32,36,40,44,48

1x-1,2,3,4,5,6,7,8,9,10,11,12

=1,2,3,4,5,6,7,8,9,10,11,12

2x-1,2,3,4,5,6,7,8,9,10,11,12

=2,4,6,8,10,12,14,16,18,20,22,24

33

12

30

15

Charlie went to his grandfather's farm. Planted in the field…

Over by the pond, there were three groups of ducks. Each grou…

Charlie walked over to the barn. There were three stacks of h…

The hay was to feed the horses on the farm. There were five c…

33

Charlie went to his grandfather's farm. Planted in the field…

12

Over by the pond, there were three groups of ducks. Each grou…

43

30

15

6

Charlie went to his grandfather's farm. Planted in the field…

There were three stacks of hay bales by the wall. Each stack…

There were five corrals that each had three horses in them. H…

There were two groups of puppies. Each group had three puppie…

43

Charlie went to his grandfather's farm. Planted in the field…

30

There were three stacks of hay bales by the wall. Each stack…