Learning Resource Type

Learning Activity

How Are Multiplication and Division Related?

Subject Area

Mathematics

Grade(s)

3

Overview

Students will view a video that describes the relationship between multiplication and division. The video provides several illustrations that demonstrate this relationship. After viewing the video, the students will draw illustrations and corresponding math equations to show their understanding of this mathematical relationship.

This activity results from the ALEX Resource Development Summit.

    Mathematics (2019) Grade(s): 3

    MA19.3.7

    Use strategies based on properties and patterns of multiplication to demonstrate fluency with multiplication and division within 100.

    Unpacked Content

    UP:MA19.3.7

    Vocabulary

    • Fluently
    • Properties of operations
    • Product
    • Digit
    • Divisor
    • Dividend
    • Inverse operation
    • Derived fact

    Knowledge

    Students know:
    • Strategies for finding products and quotients.
    • How to use multiplication facts in terms of a missing factor to learn division facts.

    Skills

    Students are able to:
    • Use strategies based on properties of operations and patterns of multiplication to find products and quotients.
    • Use efficient multiplication and division strategies based on the numbers in the problems. -Use multiplication facts in terms of a missing factor to learn division facts.

    Understanding

    Students understand that:
    • they can use the meaning of the numbers in multiplication and division situations to determine strategies to become fluent with multiplication and division facts.

    Phase

    Before/Engage
    Learning Objectives

    Learning Objectives

    Students will fluently multiply and divide within 100, using the relationship between multiplication and division. 

    Activity Details

    1. Prior to playing the video, the teacher will instruct students to have a sheet of paper and a pencil. The students should write down the examples from the video that explain the relationship between multiplication and division. These notes will help students complete their task after watching the video.
    2. The teacher should play the video, Multiplication and Division Relationships - Fun Math Videos for Kids 3rd Grade (4:02 minutes).
    3. In the video, the relationship between the math families of 4, 3, and 12, and 3, 5, and 15 are described and illustrated. Instruct students to choose another math fact family to illustrate to show their understanding of this concept. 
    4. Students should write the multiplication and division problem associated with the fact family. They should draw an illustration to represent this fact family. 
    Assessment Strategies

    Assessment Strategies

    The teacher should review each student's final work product and ensure that each student included:

    • a correctly completed multiplication equation.
    • a correctly completed division equation.
    • a corresponding illustration. 

    Click here for an example of a correctly completed assessment. 

    Variation Tips

    If needed, the teacher could provide additional demonstrations of the relationship between multiplication and division prior to having students complete the work individually. Alternatively, the teacher could allow students to practice the skill in partners or small groups. The teacher could assign the class or each student a fact family to illustrate for the final product, rather than allowing students to select their own fact family. 

    Background and Preparation

    Background / Preparation

    The teacher will need internet access and video-playing capabilities. Students will need paper and pencil to complete the activity.  

    Digital Tools / Resources

    ALSDE LOGO