Lesson 3 – Properties of Multiplication

Age Range: 7 – 8 years old

Timing: 60 minutes

Lesson Number: 3

Learning Objective

By the end of this lesson students should be able to…

Define the associative property
Define the commutative property
Define the distributive property
Apply the three properties in multiplication

Universal Design For Learning (UDL) Connections

By implementing UDL, I will support students by…

Providing multiple media formats
Emphasizing the connection between addition and multiplication
Providing a clear definition of new vocabulary

Essential Question

Why is the associative, commutative, and distributive properties important to multiplication?
How can you apply the associative, commutative, and distributive properties to multiplication?

Materials & Technologies

Students or Teachers will use the following materials, tools, and equipment:

Electronic Device: Personal Laptop, Desktop, Phone
Google Forms

Prior Knowledge & Pre-Class Preparation

Students will need to know the following before beginning this lesson:

What is multiplication?
Multiplying the numbers from one to twelve
Addition and subtraction

The teachers will need to make the following preparations prior to the lesson:

Review multiplication properties: associative, commutative, distributive
Review basic multiplication concepts
- What does multiplying two numbers actually mean?
Review addition

Lesson Plan Sequence

Introduction

Introduces the three main properties of multiplication. These properties are (1) associative, (2) commutative, and (3) distributive.

Instructional Content

The instructional content will follow a teaching structure where it will first define the properties, then it will show an example of the properties. Then, students will be given a practice quiz they can solve. Each step should take less than 20 minutes to complete. At the end of the instructional content, students will be provided a personal reflection for them to answer.

Definitions

Students will need to read the article called “Properties of multiplication” . It defines the three different properties in a digestible way.

Then the students will listen to the video below which will provide a catchy and easy way to remember the properties.

Examples

Then there will be three math problems, where you can apply a property to each one. Per each math problem, there will be a written piece that will show step by step how to answer the question. When producing examples, be sure to connect them to real life examples.

Moreover, instructors should emphasize the connection between multiplication and addition. It is important to illustrate the examples and visualize what it means for example for 2 x 4 to be flipped to 4 x 2.

Application

For the final instructional portion, students will be given an math quiz embedded using Google Forms. When the students have completed their quiz, they will be given an overall score. The answers will be available for them to review.

Conclusion

By the end of this lesson, the student will not only be able to define the properties, but also be able to apply those rules in math questions.

Then, they will be given the interactive learning activity below to inform the instructor about their overall understanding. The Interactive Learning Activity will be submitted using Google Forms where the instructor can review the student’s reflection.

Interactive Learning Activity

Assessment Overview

Letter Grade	Percentage	Achievement Requirement
A+	90 – 100%	Student engages with topic well and achieves all criteria for an A grade. But also shows an understanding that exceeds the course material.
A	85 – 89%	Student engages with the topic well. They participate with the learning activity and demonstrate through a well-detailed and concise reflection about their understanding of the three properties.
A-	80 – 84%	Student engages with topic well and completes all learning activity. Some criteria of learning activity is missing.
B+	77 – 79%	Student has completed all required work. Some criteria of learning activity is not met. Shows an understanding of the lesson material.
B	73 – 76%	Student has completed all required work.
B-	70 – 72%	Student has completed most of the required work.
C+	65 – 69%	Student has completed most of the required work, but lacks understanding in one area of the multiplication property.
C	60 – 64%	Student has not completed the learning activity. But they have engaged with the lesson material.
D	50 – 59%	Student has not completed the learning activity and has not engaged with the lesson material.
F	0 – 49%	Student does not participate in the interactive activity. And does not show any understanding of the three properties.

References

Smartick. (n.d). Properties of Multiplication. Smartick. https://www.smartick.com/blog/mathematics/multiplication-and-division/properties-of-multiplication/

Math Songs by NUMBEROCK. (2021, March 30). The Properties of Multiplication Song | 3rd Grade – 4th Grade [Video]. Youtube. https://youtu.be/oq3OUYyPaCQ