Author: edcistudent335

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…

1. Providing multiple media formats
2. Emphasizing the connection between addition and multiplication
3. 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

Crayon box clip art . Pinterest. (2021). https://www.pinterest.com/pin/484207397447263096/ 

Morrissette, S. (2024). What is repeated addition? definition, examples & formulas. DreamBox by Discovery Education. https://www.dreambox.com/math/skills/addition/repeated-addition 

Multiplication strategies progression. Multiplication Strategies Progression. Department of Education. (n.d.). https://www.maine.gov/doe/pl/math/multiplication#:~:text=One%20of%20the%20early%20strategies,5%20%2B%205%20%3D%2035%20pencils. 

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

Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2013). Elementary and middle school mathematics: Teaching developmentally. Pearson.

Education.com. (n.d.). Multiplication worksheets and games. https://www.education.com

• Real life Multiplication Hunt and Practice Problems
• Description: Students are asked to find objects around their house and use multiplication to count them. This activity aims to show how multiplication can be used on a daily basis.  Students are also asked to do some practice problems on repeated addition. This activity aims to strengthen the understanding of repeated addition among students.
• Online Math Game
• Description: Students are provided an online math game on the website via embed. The goal of the game is to gamify multiplication. A block falls down with a number which is a power of 2. Blocks with the same number get combined (multiplied) together. The objective of the game is to get a block with the value of 2048. This illustrates what happens when we multiply by 2 over and over, as well as subtly introducing the idea of exponents.
• Personal Reflection
• Description: Each student will be given 3-4 questions. The goal of the question is to give the instructor an idea of the student’s understanding of the three multiplication properties.
• Business Scenario
• Description: There are going to be several groups, and each group will have around 4 to 5 students. A teacher will teach all students how this scenario is going to work. The goal of this activity is to teach students to use mathematics in real life and make them learn how important mathematics are in real life.

Content 1: What is multiplication?

Description: Video – Describes multiplication and teaches the basics about multiplication through examples.

Content 2: What is repeated addition?

Description: Reading- Describes repeated and how it relates to multiplication and teaches the basics about  repeated addition through various examples. 

https://www.dreambox.com/math/skills/addition/repeated-addition

Content 3: Multiplication table

Description: Video – Explaining Multiplication table 1 to 12

Content 4: Patterns in Multiplication

Description: Video – Identifying patterns, Recognizing commutative property

Content 5: Properties of Multiplication

Description: Reading – Describes the associative, commutative, and distributive properties using images and text. Provides examples of the properties applied.

https://www.smartick.com/blog/mathematics/multiplication-and-division/properties-of-multiplication/

Content 6: The Properties of Multiplication Song | 3rd Grade – 4th Grade

Description: Video – Provides a catchy tune for students to remember the three multiplication properties. One method to memorize Lesson 3.

Content 7 : Breaking it Down

Description: Video – explains the steps to breaking down multiplication word problems

Content 8: Extra Demonstration

Description: Video – an extra walkthrough of solving a multiplication word problem. Multiplication word problem example 1 – Khan Academy

• What is multiplication?
• Why is multiplication important?
• What are some fun ways to learn multiplication?
• What are multiplication facts, and why do we need to memorize them?
• How can we practice multiplication effectively?
• How can we make multiplication a part of our daily lives?
• How can we use multiplication in problem-solving?

Description – This video will give an overview of fundamentals of multiplication through simple examples and clear explanations. The video begins with the introduction to multiplication and demonstrates multiplication as a faster way to do repeated addition. Then, it moves onto the multiplication table and memorization of multiplication tables. Then, we learn about the different properties of multiplication and apply multiplication to real life problems. 

Accessibility –  To address any accessibility issues that may arise, we have provided the video with subtitles and have created a transcript for the video.

Video Transcript:

Hello, everyone, and welcome to multiplication for kids. I’m Nathan, and I have my friends here with me today. I’m Gaia. I’m Nisa.

And I’m Chad. So let’s get into multiplication for kids. Alright. So Just chat with the essential question. Alright.

So, about essential questions, we are going to learn through these slides, and these are the questions. First, what is multiplication? Why is multiplication important? Why are some fun way what are some fun ways to learn multiplication? What are multiplication facts, and why do we need to memorize them?

How can we practice multiplication effectively? How can we make multiplication a part of our daily lives? How can we use multiplication in problem solving? So imagine this. Right?

It’s Halloween, and you just got done trick or treating with your friends. You all pile your candy together, and you wanna count up how much you have in total. So we could just count up all the pieces, like one plus one plus one all the way up to six like we’ve been doing, but there’s a better way to do it, and that is with multiplication, which is what we’re gonna be learning. So we’re gonna do four lessons, and lesson one is going to be introduction to multiplication. Lesson two is going to be memorize memorizing the multiplication table.

Lesson three is going to be properties of multiplication simplified, and lesson four, applying multiplication to real life problems. So for lesson one, we are just going to introduce the multiplication. So let’s imagine you have three boxes of crayons and each box has four crayons. Okay. Next slide.

And you can just add them all up and get 12. But instead of adding, we can use a shortcut, which is multiplication. We can multiply three by four and get the same answer as before, which is 12. And multiplication is an easier way to do the repeated addition. Alright.

So lesson two, memorizing multiplication table. So this is the table where it shows, from one times one to one times 12 to 12 times one to 12 times 12. So by memorizing that, multiplication table, these are the benefits. First, time management. Whenever you guys are taking a test or math quizzes in class, you guys can save so much time if you guys memorize the multiplication table.

Second, better performance in school. In school math classes, you guys will do so much better perform other than, like, students who did not memorize the multiplication table. Third, enhance the problem solving skills. Knowing multiplication facts can help in solving word problems and mathematical puzzles more efficiently. Lastly, boosted confidence.

Messy of the multiplication table can increase a learner’s confidence in their math abilities. In lesson three, you will be taught, the properties of multiplication. So there are three properties, also known as rules, you need to know when learning multiplication. The first rule is associative. The associative rule means that the result of a multiplication problem will be the same, regardless of where you place the brackets.

The second rule is commutative. The commutative rule means that the order of a multiplication problem does not matter. So for example, in this picture, three groups of two apples have an equal number of apples to two groups of three apples. The last rule is distributive. The distributive property means that you can distribute multiplication to each number in a bracketed sum.

Alright. And then for lesson four, we’re just gonna talk about some real life problems and how multiplication could apply in daily life. Some of the learning activities we’re gonna get into includes, like, an online math game, some real life multiplication, practice problems, personal a personal reflection, and a business scenario. So what should we know by the end of this course? So first, we should be able to explain the principles of multiplication using the principles of addition.

Second, we should be able to remember the multiplication table from number one to 12. Third, we should know what the associative, commutative, and distributive properties mean. And lastly, we should be able to explain and discuss the multiplication, in relation to real life. Alright. Thank you guys for watching, and we hope that you enjoyed the course.

• Multiple Means of Representation: We offered variety of ways to present the content. There are text, video and audio options available for different types of learners. We also provided videos with captions for accessibility.
• Multiple Means of Engagement: We will keep students engaged by offering feedback regularly and timely. In addition, students can pace themselves and choose their own learning path based on their own skills.
• Multiple Means of Expression: We have offered multiple ways for students to show their understanding of the topic. This includes practice problems, reflections, real life problems and business scenario. This allows students to show what they have learned in various ways.

By the end of this course, you should be able to…

• Define the concept of multiplication by using the principles of addition
• Memorize the multiplication table from numbers one to twelve
• Define the multiplication properties: associative, commutative, and distributive
• Explain how multiplication can be applied to real life problems