3FN23 – Math – Fractions: Regions and Equal Parts

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.

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Class Lesson Plan

Objectives:

Students will comprehend the concept of fractions as parts of a whole.
Students will understand the relationship between fractions and division.
Students will learn about equal parts and their significance in fractions.
Students will understand that a region is all of the parts of the fraction put together.
Students will become familiar with reading and writing common fractions.


Materials:

Whiteboard/Chalkboard and markers/chalk
Visual aids (illustrations or diagrams representing fractions, shapes, and areas)
Manipulatives (optional)


Introduction (5 minutes):

Define what a fraction is and provide a simple real-world example (e.g., sharing a cake). Explain that fractions represent parts of a whole. Introduce the terms numerator and denominator in the context of fractions. (e.g. in the fraction ½, one is the numerator and two is the denominator. Draw a simple fraction to help students identify the numerator and denominator.


Theocratic Connections:

N/A


Activity 1 – Equal Parts and Fractions (10 minutes):

Define the concept of equal parts and its importance in fractions. Provide examples of dividing objects into equal parts (e.g., cutting an apple into 4 equal pieces). Discuss the relationship between fractions and division. Emphasize that fractions must always have equal parts. Emphasize that both fractions and division involve splitting numbers into equal parts.

Make sure students understand that a fraction is a part of a whole. It is a way of expressing numbers that are not whole. For example, if we have ½ of a cake, we have one out of two parts of a cake. So when we write the fraction ½,  this fraction means that you have 1 part out of 2.  

Introduce the concept of regions and explain that a region is all of the parts of the fraction put together. It’s all the parts that make up the whole object. A cake or a pizza can be cut into four regions (slices). Each region in the circle can be described as ¼, because they are each one part out of 4.


Activity 2 – Reading and Writing Fractions (10 minutes):

Discuss how to read and write fractions, introducing the terms numerator and denominator again.
Provide examples of common fractions and their names (e.g., halves, thirds, fourths).
Emphasize the importance of both the numerator and denominator in conveying information.Distribute worksheets or present practice problems on the board for students to apply their knowledge of fractions.


Conclusion (5 minutes):

Summarize key points, emphasizing the definition of fractions, their connection to division, the role of equal parts, and the importance of reading and writing fractions accurately. Reinforce the idea that fractions are a way of expressing parts of a whole.


Assessment:

Informally assess student understanding through class discussions, observations during activities, and their ability to apply fraction concepts in practice problems. Encourage students to explain their reasoning when working with fractions.