Multiplication patterns are regular relationships among factors and products, such as equal increases across rows or columns of a multiplication table, the effects of multiplying by 0, 1, 10, or 100, and predictable changes when a factor is doubled or increased by one group. Learners explain these patterns with arrays, equations, place value, and properties such as distributivity, recognizing that multiplication facts are related rather than isolated. The focus is whole-number patterns with grade-appropriate factors and products, not generalized algebraic rules or patterns involving fractions, decimals, or very large numbers.
Multiplication patterns show how one fact is connected to another. To find a missing or new fact, look at how a factor changes and how that changes the product.
Example: Use to find .
The first factor increases by group.
An array shows the same pattern: a -by- array has objects. Adding one more row of makes a -by- array with objects.
So, when one factor increases by one group, the product increases by the other factor. Therefore,
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