Defining Multiplication as Equal Groups
Defining Multiplication as Equal Groups is a Grade 3 math skill from Eureka Math establishing the foundational meaning of multiplication. The expression a × b = c represents a equal groups, each containing b items, for a total of c items. The × symbol means 'groups of.' This is equivalent to repeated addition: b added together a times. For example, 4 × 3 means 4 groups of 3, the same as 3 + 3 + 3 + 3 = 12. This definition gives third graders a concrete mental model for all multiplication before moving to abstract fact memorization.
Key Concepts
A multiplication sentence, $a \times b = c$, represents the total of $a$ equal groups with $b$ items in each group. The symbol $\times$ means "groups of". This is a shortcut for the repeated addition of $b$, added together $a$ times.
Common Questions
What does multiplication mean in terms of equal groups?
Multiplication a × b means a equal groups with b items in each group. The product c is the total number of items across all groups.
What does the multiplication symbol × mean?
The × symbol means 'groups of.' So 5 × 4 reads as '5 groups of 4.'
How is multiplication related to repeated addition?
Multiplication is a shortcut for repeated addition. 4 × 6 = 6 + 6 + 6 + 6 = 24. Instead of adding the same number repeatedly, multiplication gives the total directly.
What does 3 × 7 mean in equal groups language?
3 × 7 means 3 equal groups with 7 items in each group, for a total of 21 items.
In which textbook is Defining Multiplication as Equal Groups taught?
This skill is taught in Eureka Math, Grade 3.