3FN26 – Math – Adding and Subtracting Fractions

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.

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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.

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Class Lesson Plan

Objectives:

Students will understand how to add and subtract fractions with like denominators.
Students will learn the process of simplifying fractions to find a common denominator.
Students will practice adding and subtracting fractions through hands-on activities and problem-solving.


Materials:

Whiteboard/Chalkboard and markers/chalk
Visual aids (fraction representations, illustrations of addition and subtraction fraction problems)
Fraction manipulatives (optional)


Introduction (3 minutes):

Review the concept of fractions, emphasizing the meaning of numerators and denominators.
Introduce the process of adding and subtracting fractions with like denominators.
Highlight the importance of having the same denominator for addition and subtraction.


Theocratic Connections:

N/A


Activity 1 – Adding & Subtracting Fractions (10 minutes):

Explain the process of adding and subtraction fractions with like denominators using examples. (e.g. Addition: 1/4 + 2/4 = ¾) (e.g. Subtraction: 2/4 – 1/4 = ¼)
Model adding fractions on the board, emphasizing the importance of keeping the denominator the same.
Engage students in a guided practice session, adding fractions with like denominators.


Activity 2 – Simplifying Fractions for Addition and Subtraction  (15 minutes):

Introduce the concept of simplifying fractions when denominators don’t match. Explain the process of finding a common denominator by simplifying fractions. For example, if you have the math problem 2/6 + 3/9,  you can’t add them because their denominators are different. To solve this problem, look for the smallest number that both the denominators can be divided by, which is 3.

Then you begin simplifying the fractions so the denominators match. Simplify the biggest fraction first. Simplify 3/9 by dividing both the numerator 3, and the denominator 9 by the number three to make them smaller. Since 3 ÷ 3 = 1 and 9 ÷ 3 = 3, we can simplify the fraction 3/9 into the fraction ⅓.

Next, simplify the fraction 2/6, by first finding a multiple of 2 & 6. The number two is a multiple of 2 & 6, so divide them both by 2. Since 2 ÷ 2 = 1 and 6 ÷ 2 = 3, we can simplify the fraction 2/6 into the fraction ⅓.

Now we have a math problem with 2 simplified fractions and their denominators match. We can solve the simplified problem to get the answer, which is ⅓ + ⅓ = ⅔.

Model simplifying fractions using examples on the board. Engage students in hands-on activities using fraction manipulatives to practice simplifying fractions.


Conclusion (2 minutes):

Summarize key points, emphasizing the importance of having a common denominator for adding and subtracting fractions. Reinforce the concept of simplifying fractions to facilitate mathematical operations.


Assessment:

Informally assess student understanding through class discussions, observations during activities, and their ability to apply addition and subtraction of fractions. Encourage students to explain their reasoning when simplifying fractions and solving problems involving fractions.