ALEX Learning Activity

  

How Are Multiplication and Division Related?

A Learning Activity is a strategy a teacher chooses to actively engage students in learning a concept or skill using a digital tool/resource.

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  This learning activity provided by:  
Author: Hannah Bradley
System:Dothan City
School:Carver Magnet School
  General Activity Information  
Activity ID: 2502
Title:
How Are Multiplication and Division Related?
Digital Tool/Resource:
Multiplication and Division Relationships - Fun Math Videos for Kids 3rd Grade
Web Address – URL:
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.
  Associated Standards and Objectives  
Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 3
7. Use strategies based on properties and patterns of multiplication to demonstrate fluency with multiplication and division within 100.

a. Fluently determine all products obtained by multiplying two one-digit numbers.

b. State automatically all products of two one-digit numbers by the end of third grade

Unpacked Content
Evidence Of Student Attainment:
Students:
  • When given any single digit multiplication problem, use an efficient strategy (recall, inverse operations, arrays, derived facts, properties of operations, doubling, skip counting, square numbers) to name the product.
  • When given a division problem with a single digit divisor and an unknown single digit quotient, use an efficient strategy (recall, inverse operations, arrays, derived facts, properties of operations, doubling, skip counting, square numbers) to name the quotient.
Teacher 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.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.3.7.1: Name the first 10 multiples of each one-digit natural number.
M.3.7.2: Recognize multiplication as repeated addition, and division as repeated subtraction.
M.3.7.3: Apply properties of operations as strategies to add and subtract.
M.3.7.4: Recall basic addition and subtraction facts.

Prior Knowledge Skills:
  • Recall single-digit subtraction facts.
  • Recall single-digit addition facts.
  • Add and subtract two two-digit numbers with and without regrouping.
  • Determine the value of the number in the ones, tens, hundreds and thousands place using concrete models or drawings and strategies based on place value.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.7 Demonstrate fluency of multiplication using skip counting, multiples of numbers, number charts, arrays, etc.

Learning Objectives:

Students will fluently multiply and divide within 100, using the relationship between multiplication and division. 
  Strategies, Preparations and Variations  
Phase:
Before/Engage
Activity:

  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:

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. 
Advanced Preparation:

The teacher will need internet access and video-playing capabilities. Students will need paper and pencil to complete the activity.  
Variation Tips (optional):

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. 
Notes or Recommendations (optional):

ALCOS 2019

7. Use strategies based on properties and patterns of multiplication to demonstrate fluency with multiplication and division within 100.
a. Fluently determine all products obtained by multiplying two one-digit numbers.
b. State automatically all products of two one-digit numbers by the end of third grade.
  Keywords and Search Tags  
Keywords and Search Tags: divide, division, fluent, math facts, multiplication, multiply, relationship