About the "Fact Families" Worksheet

Fact Families is an engaging math worksheet designed to help students understand the relationships between multiplication and division operations. This interactive and printable worksheet challenges students to write complete fact families using given sets of numbers. The exercise is divided into two main sections, each focusing on a different set of numbers: 4, 36, and 9 for the first set, and 7, 56, and 8 for the second set.

The worksheet provides a structured format for students to fill in the missing parts of each fact family. It includes spaces for both multiplication and division equations, encouraging students to recognize the inverse relationship between these operations. Some numbers are pre-filled to guide students and ensure they understand the task at hand. By completing this worksheet, students will strengthen their understanding of number relationships, improve their mental math skills, and develop a more flexible approach to solving arithmetic problems.

What will your child learn through this worksheet?

Understanding the concept of fact families in multiplication and division
Recognizing the inverse relationship between multiplication and division
Practicing mental math skills with multiplication and division facts
Developing number sense and flexibility in working with arithmetic operations

Learning Outcomes

Cognitive

Students will correctly complete at least 7 out of 8 equations in the fact families with 100% accuracy
Students will demonstrate the ability to derive division facts from given multiplication facts and vice versa

Psychomotor

Students will improve their handwriting skills by neatly filling in the numbers in the provided spaces
Students will enhance their fine motor skills through precise number writing within the structured format

Affective

Students will develop confidence in their ability to work with related multiplication and division facts
Students will cultivate a positive attitude towards exploring number relationships in arithmetic

Interpersonal/Social

Students will practice explaining the concept of fact families to peers or teachers
Students will learn to collaborate with classmates to check and verify their answers

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.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.