4FN11 – Math – Multiplication and Division Relationships

How do FreeNode lessons work?

FreeNodes are instructor-led schooling lessons with a unique approach, granting you the freedom to independently teach using a personalized lesson plan. This autonomy enables you to tailor your lessons to suit students’ individual needs, learning styles, and interests.

To use a FreeNode, read the provided class outline & follow the formatting provided for each class. Make sure to touch on the Theocratic Connection in each class. Follow the outline closely so it is aligned with our main at-home curriculum.

How Do I Use the FreeNode?

Read this lesson plan before class to familiarize yourself with the ideas and concepts you’ll be teaching the students. You may print this page out if you need to use it as a reference point during live classes.

This lesson is a guide, but feel free to expand on the content or decrease/increase what you teach depending on the learning levels of the students in your class or the amount of time you have to cover the material.

Can I show videos in FN classes?

Yes, feel free to include additional material to supplement the class lesson material. Videos, Physical Objects, Games, Activities, etc. are okay to share in live classes.

Videos should have no advertisements or logos and should be viewed by you before showing them to the students to ensure no offensive or questionable content is included.

The video should make up only 1-3 minutes of the live class and should not take the place of instructor-led instruction. Videos should be supplementary only.

How do bookmarks work?

Bookmarks help you keep track of lessons you’re going to teach in future live classes. The bookmarks you see are for all your bookmarked lessons across all grades.

You can bookmark a lesson by visiting the lesson you want to bookmark and clicking the “bookmark” button in the bookmark section.

You can remove a single bookmark by visiting a lesson you’ve bookmarked and clicking the “bookmark” button again to unbookmark it.

You can clear all of your bookmarks by clicking the “clear all bookmarks” button. Be careful, this will erase all of your bookmarks.

Class Lesson Plan

Objectives:

Students will understand the concept of inverse operations and their importance in solving and checking answers to math problems.
Students will learn about fact families and how they show the relationships between multiplication and division for a set of numbers.

Materials:

Whiteboard/Chalkboard and markers/chalk
Visual aids (pictures or diagrams illustratinginverse operations and fact families)
Manipulatives (optional, for hands-on activities)

Introduction (5 minutes):

Begin by student understanding of multiplication and division. Then introduce the concept of inverse operations. Explain to students that inverse operations are like opposites and help us check the accuracy of our math problems. Provide examples, such as addition and subtraction being inverse operations and multiplication and division being inverse operations.

Theocratic Connections:

N/A

Activity 1 – Inverse Operations (10 minutes):

Explain the inverse operation of addition and subtraction, as well as the inverse operation of multiplication and division. Illustrate how inverse operations can undo math operations by using simple examples.

For addition and subtraction, discuss how subtracting a number undoes the effect of adding it, and vice versa. (e.g. The subtraction problem 3 – 2 = 1 is the inverse operation of the addition problem 1 + 2 = 3)

Similarly, for multiplication and division, show how dividing by a number undoes the effect of multiplying by it, and vice versa. (e.g. The division problem 16 ÷ 2 = 8 is the inverse operation of the multiplication problem 2 x 8 = 16) Encourage students to practice and to think about how they can use inverse operations to check their answers in various math problems.

Activity 2 – Fact Families (10 minutes):

Introduce the concept of fact families. Explain that Fact Families show how multiplication and division work together, the same way that number bonds show how addition and subtraction work together. Explain that a fact family shows the relationships between multiplication and division for a set of numbers.

Use simple examples to demonstrate how multiplication and division facts are related within a fact family. Emphasize that fact families also involve inverse operations. Provide additional examples and practice problems for students to work on.

Conclusion (5 minutes):

Summarize the key points of the lesson, emphasizing the importance of inverse operations in checking math problems and the role of fact families in understanding the relationships between multiplication and division. Connect these concepts to the broader theme of problem-solving in mathematics.

Assessment:

Informally assess student understanding during class discussions and activities.
Ask students to individually solve a few practice division problems using the methods learned in class. Students should be able to correctly apply inverse operations and identify fact families in practice problems.