Learning Multiplication

Month: March 2025 (Page 1 of 2)

Lesson 2 – Memorizing multiplication table (Numbers 2 – 12)

24 March 2025 / / 0 Comments

Age Range: 7-8 years old

Time: 45 minutes

Lesson Number: 2

Learning Objectives:

  • Understand the basic concept of multiplication.
  • Memorize the multiplication table from 2 to 12.
  • Develop the ability to quickly calculate multiplication results.
  • Enhance problem-solving skills using various methods for multiplication.
  • Recognize real-life situations where multiplication is applied.
  • Gain experience collaborating with peers to solve multiplication problems.

Universal Design For Learning (UDL):

Multiple Means of Engagement:

  • Provide choices to increase motivation.
  • Foster a supportive learning environment.
  • Encourage self-regulation and goal-setting.

Essential Questions:

  • What are the patterns and relationships in the multiplication table?
  • How can understanding multiplication help us solve real-world problems?
  • In what ways can we use different strategies to memorize multiplication facts effectively?

Materials and Technology:

  • Internet
  • Paper
  • Pencil

Prior Knowledge:

  • Basic Addition Skills: Students should be familiar with addition, as it forms the foundation for understanding multiplication.
  • Understanding of Groups: Recognition of multiplication as repeated addition
  • Familiarity with Numbers: Comfort with numbers 1 through 12 and their basic properties.

Pre-class Preparation:

  • Create multiplication flashcards for numbers 2 to 12.
  • Arrange seating for group activities and discussions to foster collaboration.

Lesson Plan Sequence:

Introduction:

This lesson sets a positive tone for the lesson, engages students, and prepares them for learning the multiplication table.

Instructional Content:

Provided by suncatcherstudio

The ways to memorize multiplication table:

  • Practice skip counting by the numbers in the multiplication table
  • Identify patterns in the multiplication table
  • Use flashcards with multiplication problems on one side and answers on the other
  • Pair up with a classmate and teach each other the multiplication facts

Application:

Present students with real-life scenarios that require multiplication to solve, such as asking them how many pencils they would have if they bought three packs containing twelve pencils each, or how many apples they would have if they had four bags with six apples in each.

Interactive Learning Activity:

Setup: Divide the class into small teams and place flashcards at one end of the classroom.

Gameplay: Teams line up at the opposite end. When the timer starts, the first student races to pick a flashcard, solves the problem, and shouts the answer to their team. If correct, they score a point; if incorrect, they return to try again.

Wrap-Up: Continue until all cards are answered or time runs out, then tally points and discuss any challenging problems.

Conclusion:

In today’s lesson on memorizing the multiplication table from 2 to 12 has equipped students with essential strategies to understand and recall multiplication facts.

Assessment Overview:

Letter Grade Percentage Achievement Requirement
A+90 – 100%The student engages well with the topic and demonstrates an excellent understanding of the course material through the completion and correctness of learning activities. Students go above and beyond the course material presented. 
A85 – 89%The student engages with the topic well. They completed the learning activity and demonstrated great understanding of the course content through the completion and correctness of learning activities.
A-80 – 84%The student engages with the topic well and completes all learning activities. Some aspects of the course content understanding is missing from learning activities.
B+77 – 79%The student has completed all required work. The student demonstrates an okay understanding of the course content through the completion and correctness of learning activities. 
B73 – 76%The student has completed all required work and demonstrated some understanding of the course content. 
B-70 – 72%The student has completed most of the required work and demonstrated understanding of the content.
C+65 – 69%The student has completed most of the learning activity but does not demonstrate a thorough understanding of the material. 
C60 – 64%The student has not completed the learning activity but showed some engagement with the course material. 
D50 – 59%The student has not completed the learning activity or engaged with the lesson material.
F0 – 49%Student has not engaged with the course content at all.

References

  • 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

Lesson 4 – Real World Problems

24 March 2025 / / 0 Comments

Age Range: 7 – 8 years old
Time: 15 – 30 minutes
Lesson Number: 4

Objective:

We are going to learn how to break down word problems, understand what they’re asking, and solve them step by step!

Breaking Down the Problem:

Now it’s your turn! Solve the problem below:

Sarah buys 6 boxes of markers. Each box contains 8 markers. How many markers does she have in total?

Step 1: Identify Numbers and Units

  • What numbers do you see?
  • What do the numbers represent?

Step 2: Identify the Operation

  • What are the clue words?

Step 3: Write the Equation

Step 4: Solve!

Click Here to check your answer!

Answer: 6 x 8 = 48 markers

How’d you do? Here’s some more practice problems!

Practice Problems

A farmer has 8 baskets of apples. Each basket holds 12 apples. How many apples does the farmer have in total?

Click Here to check your answer:

Answer: 8 x 12 = 96 apples

Liam buys 5 packs of Pokemon cards. Each pack has 9 cards. He already has 7 cards at home. How many cards does he have now?

(Hint: this one has multiplication and addition!)

Click Here to check your answer:

Answer:
5 x 9 = 45 cards
45 + 7 = 52 cards

Emma’s bookshelf has 4 times as many books as Daniel’s. If Daniel has 15 books, how many books does Emma have? Then, how many books do they have together?

(Hint: this one has two multiplications!)

Click Here to check your answer:

Answer:
Emma’s books: 4 × 15 = 60 books
Add both totals: 60 + 15 = 75 books together

Your Turn!

It’s your turn to come up with your own multiplication word problem. Here’s how:

  1. Pick a theme – Choose something you love!
    • 🛒 Shopping (buying packs of trading cards, snacks, toys)
    • 🐾 Animals (counting legs, eggs, or spots)
    • ⚽ Sports (teams, scores, or equipment)
    • 🎨 Art (boxes of crayons, stickers, or beads)
    • ❓ Something Else
  2. Decide the numbers
    • Try and keep it simple!
    • Using 1 to 12 works well
  3. Ask a clear question – Use key words!
    • “total”, “each”, “altogether”

Great Job!

We made a multiplication game for you to play– see if you can multiply up to 2048!

How to Play:
– Use Left Arrow key ( <- ) to move the block left
– Use Right Arrow key ( -> ) to move the block right
– Try to combine blocks with the same number!

This game shows what happens when we keep multiplying by 2! Here’s an illustration:

1 x 2 = 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 x 2 = 512
512 x 2 = 1024
1024 x 2 = 2048
… and so on!

Extra Demonstration

Assessment

A+The student fully understands the problem, identifies all key details, and sets up the correct multiplication equation with no errors. They solve the problem accurately and clearly explain their steps in writing or speaking.
AThe student understands most of the problem but may miss one small detail. They set up the correct equation with only a minor error (like mislabeling) and solve it accurately. They explain their steps but may leave out one detail in reasoning.
A-The student grasps the problem but may overlook one important detail. They use the correct operation but make a small setup mistake. They still arrive at the right answer and give a brief explanation, though it may lack clarity.
B+The student gets the main idea but confuses some details. Their equation is mostly correct but has a flaw, leading to a minor calculation error. They provide a partial explanation with some gaps.
BThe student identifies some key details but misinterprets part of the problem. They set up an incorrect equation but make a reasonable attempt. Their answer is wrong due to the setup error, and they give only a minimal explanation.
B-The student struggles to extract key details and picks the wrong operation (e.g., addition instead of multiplication). Their answer is incorrect, and they give little to no explanation.
C+The student misunderstands the problem but still attempts it. Their equation is incorrect, but they show some effort. The solution is wrong, and they provide no explanation.
CThe student shows limited understanding of the problem. Their setup is incorrect with no clear reasoning, leading to a wrong answer and no justification.
C-The student shows little understanding of the problem and struggles to identify key details. Their equation is incorrect or missing, and their solution is wrong with major calculation errors. They provide no explanation or justification for their work.
DThe student does not demonstrate understanding, provides no correct setup or solution, and offers no explanation.
FThe student did not attempt the lesson.

Lesson 1 – Introduction to Multiplication:

15 March 2025 / / 0 Comments

Age Range: 7-8 years old

Time: 50 minutes

Lesson Number: 1

Learning Objectives:

  • Understand the concept of multiplication
  • Relate multiplication to repeated addition
  • Visualize multiplication using groups
  • Practice solving simple multiplication problems
  • Learn factors and products

Universal Design For Learning (UDL):

  • There is written explanation, an explanatory video and visuals to support diverse learning.
  • The students are engaged through real world activity and numerical problems.
  • There is numerical problems and a real world activity t to support different types of students.

Essential Questions:

  • What is multiplication and how is it different from addition?
  • How can we use addition to understand multiplication?
  • Why do we need multiplication and how does it help us solve problems more quickly?
  • What are factors and products?

Materials and Technology:

  • Internet
  • Any technological device (smartphone, tablet ect.)
  • Headphones (not necessary)
  • Paper
  • Pencil

Prior Knowledge & Pre-class Preparation:

For Students:

  • Understanding number groups and recognition
  • Understanding addition

For Instructors:

  • Gather material and review key concepts

Lesson Plan Sequence:

Introduction:

This lesson will introduce the concept of multiplication to students and will aim to teach them multiplication as repeated addition.

Instructional Content:

What is multiplication: Multiplication is a way of adding the same number multiple times. It is like combining equal groups together.

Example:

Imagine you have 3 boxes of crayons and each box have 4 crayons in it.

You have 3 boxes of crayons and each box has four crayons.

That means you can multiply 3 by 4.

3 x 4 means that you have 3 groups of 4 crayons.

Now, we can find out how many crayons you have:

  • 4 crayons in the first box
  • 4 crayons in the second box
  • 4 crayons in the third box

4 + 4 + 4 = 12

So, 3 x 4 = 12

Multiplication is adding the same number over and over. Instead of using, 4+ 4 + 4 = 12

We can use 3 x 4 = 12.

It is like a short cut for adding the same numbers and it helps us solve problems more quickly .

Factors and Products:

Factors are the numbers we are multiplying.

Product is the answer we get from the multiplication.

To Do List For Lesson 1:

Watch the video to understand multiplication better with Piggy and Professor!

Read this resource to better understand multiplication as repeated addition: https://www.dreambox.com/math/skills/addition/repeated-addition

Interactive Learning Activity:

Multiplication Hunt:

Look around the house and find items that come in groups, draw the items and try to group them. Use multiplication to count the items around the house.

Example:

Item chosen: Towels on rack

Look at the number of racks and look at the number of towels. Let’s say, there are 2 racks and each rack has 2 towels.

Then, you would have 2 x 2 = 4 towels.

Find 6 examples of grouped items around your house and try to use multiplication to count them.

Do the Practice Questions at the end of this website: https://www.dreambox.com/math/skills/addition/repeated-addition

Conclusion:

In this lesson, we have learned that multiplication is a short cut for adding repeated numbers together. The next lecture we will take a look at the multiplication table and see how it can help us solve multiplication problems quicker.

Assessment Overview:

Letter GradePercentageAchievement Requirement
A+90 – 100%The student engages well with the topic and demonstrates an excellent understanding of the course material through the completion and correctness of learning activities. Students go above and beyond the course material presented. 
A85 – 89%The student engages with the topic well. They completed the learning activity and demonstrated great understanding of the course content through the completion and correctness of learning activities.
A-80 – 84%The student engages with the topic well and completes all learning activities. Some aspects of the course content understanding is missing from learning activities.
B+77 – 79%The student has completed all required work. The student demonstrates an okay understanding of the course content through the completion and correctness of learning activities. 
B73 – 76%The student has completed all required work and demonstrated some understanding of the course content. 
B-70 – 72%The student has completed most of the required work and demonstrated understanding of the content.
C+65 – 69%The student has completed most of the learning activity but does not demonstrate a thorough understanding of the material. 
C60 – 64%The student has not completed the learning activity but showed some engagement with the course material. 
D50 – 59%The student has not completed the learning activity or engaged with the lesson material.
F0 – 49%Student has not engaged with the course content at all.

Resources, Diagrams and References:

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. 

Additional Notes:

Mastering multiplication will take practice and time so it is better to be patient and trust the learning process.

Lesson 3 – Properties of Multiplication

12 March 2025 / / 0 Comments

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 GradePercentageAchievement 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.
A85 – 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.
B73 – 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.
C60 – 64%Student has not completed the learning activity. But they have engaged with the lesson material.
D50 – 59%Student has not completed the learning activity and has not engaged with the lesson material.
F0 – 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

References

12 March 2025 / / 0 Comments

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

Learning Activities

12 March 2025 / / 0 Comments
  • 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.

Instruction Content Overview

12 March 2025 / / 0 Comments

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

Essential Questions

12 March 2025 / / 0 Comments
  • 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?

Introduction Video

12 March 2025 / / 0 Comments

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.

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