3FN24 – Math – Fractions: Sets and Lengths

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 how fractions can be used to describe sets of objects.
Students will learn how fractions can represent lengths and distances.
Students will practice writing fractions to describe sets and lengths accurately.

Materials:

Whiteboard/Chalkboard and markers/chalk
Visual aids (illustrations or diagrams representing sets of objects, lengths, and rulers)
Manipulatives (optional)

Introduction (3 minutes):

Review the definition of fractions and their use in describing regions. A region is all of the parts of the fraction put together. e.g. a pizza cut into 4 slices, each “slice” is a region. Introduce the concept of using fractions to describe sets and lengths. Emphasize the connection between fractions and the number of parts in a whole.

Theocratic Connections:

N/A

Activity 1 – Equal Parts and Fractions (8 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. This whole circle has four regions. Each region in this circle can be described as ¼, because they are each one part out of 4.

Activity 2 – Fractions and Lengths (8 minutes):

Introduce the concept of length and its connection to fractions. Explain that length is the measurement of how long something is. Fractions can be used to name parts of a length. They help us describe objects that have been split into pieces. If you cut a stick into three equal pieces, you could use a fraction to say that each piece is one third of the stick. And write the fracrtion ⅓.

Use visual aids to illustrate how fractions can represent lengths of objects (e.g. like the number of beads in a bracelet). Guide students in writing fractions to accurately describe lengths.

Activity 3 – Fractions on a Ruler (8 minutes):

Introduce the concept of using fractions on a ruler to measure lengths. For example, a fraction of one-half means that the object being measured would be exactly half the length of the ruler. Since a ruler is a foot long, you would describe that object as being half of a foot.

The inch marks on a ruler can each be described as one-twelfth, because there are 12 total inches on a ruler. A single inch is also split up into fractions. Between each inch mark on a ruler are smaller marks that divide the inch into four pieces, we describe these marks as one fourth of an inch.

Conclusion (3 minutes):

Summarize key points, emphasizing the versatility of fractions in describing sets and lengths.
Reinforce the idea that fractions can be used to accurately represent parts of a whole in various contexts.

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 discussing sets, lengths, and using fractions on a ruler.