Objectives:

Students will understand the concept of benchmark fractions and their practical applications.
Students will learn about equivalent fractions and how to identify them.
Students will be able to compare fractions using manipulatives.
Students will practice writing fractions in their simplest form by identifying common factors.

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Materials:

Whiteboard/Chalkboard and markers/chalk
Visual aids (fraction strips, illustrations of benchmark fractions)
Online or offline manipulatives (optional)

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Introduction (3 minutes):

Define benchmark fractions and explain their importance in real-life scenarios.
Introduce the concept of equivalent fractions and provide examples to illustrate their meaning.
Emphasize the practical use of fractions in measuring, dividing, and comparing quantities.

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Theocratic Connections:

N/A

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Activity 1 – Benchmark Fractions (6 minutes):

Discuss commonly used benchmark fractions such as one-half, one-fourth, and one-third. Explain that they are fractions that are easy to remember.
Highlight situations where benchmark fractions are frequently employed (e.g., baking, dividing meals). (For example, benchmark fractions like one half, one fourth, and one third are used a lot when baking. Measuring cups can divide 1 cup of flour into thirds, fourth or halves.)
Engage students in a brief discussion about how benchmark fractions simplify tasks in everyday life.

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Activity 2 – Equivalent Fractions (6 minutes):

Explain the definition of equivalent fractions as fractions with the same value but different representations. Provide examples of equivalent fractions, emphasizing the relationship between numerator and denominator. Guide students in understanding that equivalent fractions take up the same amount of area or quantity. (e.g. 1/2 is the same as 2/4. They both take up the same amount of area, even though the denominator and numerator are different. They are equivalent, which means “the same” or “equal in value.”) 

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Activity 3 – Fractions Strips (6 minutes):

Introduce fraction strips as visual tools for comparing fractions.
Demonstrate how to use fraction strips to compare fractions and determine which is larger or smaller.
Engage students in a hands-on activity using fraction strips to compare fractions in pairs.

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Activity 4 – Writing Fractions in Simplest Form (6 minutes):

Introduce the concept of writing fractions in their simplest form for easier mathematical operations. Explain that a fraction is in its simplest form when we change it into an equivalent fraction that is smaller. So, for example, the fraction 2/4 is the same as 1/2. So 1/2 is the simplest form of 2/4.  Provide examples of changing larger fractions into simpler equivalents.

Guide students through the process of simplifying fractions by finding common factors and dividing both numerator and denominator. (e.g. simpilfy 4/6 by dividing both the numerator and the denominator by 2 to get the fraction 2/3.) 

Explain to students of the important rule that they fractions can only be made smaller (simplified) if both the top and bottom number can be split evenly. (e.g. 2/3 cannot be simplified into a smaller fraction)

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Conclusion (3 minutes):

Summarize key points, emphasizing the significance of benchmark fractions and the practical application of equivalent fractions.
Reinforce the idea that simplifying fractions makes mathematical operations more manageable.

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Assessment: