About the "Fact Families: Multiplication and Division" Worksheet

"Fact Families: Multiplication and Division" is a comprehensive mathematical exercise that explores the relationship between multiplication and division operations. This interactive and printable worksheet, that aligns with the Common Core State Standards, Fact Families: Multiplication and Division, presents three sets of related numbers in triangle diagrams, helping students visualize the connections between numbers in fact families. The worksheet uses a clean, organized layout with color-coded triangles containing number sets (5, 45, 9), (2, 16, 8), and (6, 42, 7).

Each number triangle is accompanied by four equation blanks where students must write the corresponding multiplication and division facts. The visual representation through triangles helps students understand how the same three numbers can be used to create different but related mathematical statements. The worksheet's design encourages systematic thinking as students move from visual patterns to written equations, reinforcing the inverse relationship between multiplication and division.

What will your child learn through this worksheet?

Understanding the relationship between multiplication and division
Recognizing number patterns in fact families
Converting visual representations to mathematical equations
Mastering basic multiplication and division facts

Learning Outcomes

Students will complete all 12 fact family equations with 90% accuracy within 20 minutes
Students will demonstrate understanding of multiplication-division relationships
Students will explain the pattern of fact families using mathematical terminology

Cognitive

Through this worksheet, students develop pattern recognition in number relationships
Practice mathematical reasoning through interactive fact family creation

Psychomotor

Develop precise number writing skills in this interactive worksheet
Practice organized equation formatting and spacing

Affective

Build confidence in mathematical relationships through this interactive worksheet
Develop appreciation for number patterns and connections

Reinforce

Share strategies for identifying fact families through this interactive worksheet
Practice explaining mathematical relationships to peers

Common core standards covered

3.OA.B.5

Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 _ 4 = 24 is known, then 4 _ 6 = 24 is also known. (Commutative property of multiplication.) 3 _ 5 _ 2 can be found by 3 _ 5 = 15, then 15 _ 2 = 30, or by 5 _ 2 = 10, then 3 _ 10 = 30. (Associative property of multiplication.) Knowing that 8 _ 5 = 40 and 8 _ 2 = 16, one can find 8 _ 7 as 8 _ (5 + 2) = (8 _ 5) + (8 _ 2) = 40 + 16 = 56. (Distributive property.)

3.OA.B.6

Understand division as an unknown-factor problem. For example, find 32 Ö 8 by finding the number that makes 32 when multiplied by 8.

3.OA.C.7

Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 _ 5 = 40, one knows 40 Ö 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.