# Multiplication/Division Relationships

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The lesson helps your students understand the relationships between multiplication and division.  Multiplication and division are inverse operations.  Inverse means opposite and inverse operations ‘undo’ each other.  The lesson reinforces this concept for students by having them list fact families.  The lesson also suggests students consider multiplication as repeated addition, and division as repeated subtraction.  These skills are also practiced throughout the lesson.  The lesson can be used with other related math lessons.

## Multiplication/Division Relationships Lesson Plan Includes:

• Full Teacher Guidelines with Creative Teaching Ideas
• Instructional Content Pages about Understanding Multiplication/Division Relationships
• Hands-on homework activities giving students practice on Multiplication/Division Relationships
• Common Core State Standards

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### Description

The lesson helps your students understand the relationships between multiplication and division.  Multiplication and division are inverse operations.  Inverse means opposite and inverse operations ‘undo’ each other.  The lesson reinforces this concept for students by having them list fact families.  The lesson also suggests students consider multiplication as repeated addition, and division as repeated subtraction.  These skills are also practiced throughout the lesson.  The lesson can be used with other related math lessons.

#### Classroom Procedure:

1. Begin by explaining to students that multiplication and division are related just like addition and subtraction.
2. While reading the content pages, reinforce vocabulary and give students additional examples of multiplication as repeated addition and division as repeated subtraction. Use the additional resources to enhance understanding.
3. Introduce the notes on multiplication/division relationships.  Have students practice making fact families.  Use the additional resources to enhance understanding.
4. Have students practice problems to understand the relationship between multiplication and division.
5. Follow Activity page with students. Have students work individually.  Have them draw a card with three numbers and fill in the table.
6. Distribute Practice page. Check and review the students’ responses as a class.
7. Distribute the Homework page. Have students practice their multiplication and division skills throughout the year.
8. In closing, ask students to explain how multiplication and division are related.
9. Allow for responses and discussion.

Common Core State Standards:

CCSS.Math.Content.3.OA.C.7