Fraction

Forfatteranisah huriyah

Learning objectives

Students are able to represent and understand the concept of fractions using circle and flat models.
Students are able to convert common fractions into mixed fractions using interactive tools.
Students are able to understand and prove the concept of division of fractions as multiplication by reciprocal through interactive exploration.
Students are able to apply the understanding of division of fractions in solving exercise problems.
Students are able to make conclusions about the concept of fractional numbers, including model representation, conversion of ordinary fractions to mixed fractions, and division of fractions as multiplication by reciprocal.

Concept Map

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Activity 1: Fraction Concepts

In this activity, we will understand the concept of fractional numbers. Fractional numbers are numbers that can be expressed in the form

, where

and

are whole numbers and

. The number of

s called the numerator and the number of

is called the denominator. To better understand the concept of fractions, let's try activity 1! The way to use this activity is:

In this activity, there are two choices of flat models that can represent fractions, namely circle and square models. You can choose the flat model that you want to see to represent fractions by clicking on the check box provided.
Move the green slider to the left or right to choose the numerator in the fraction you want
Move the pink slider left or right to select the denominator in the fraction you want.
Next, the fraction representation of the numerator and denominator that you have chosen will appear on the available flat model and the fraction value. The number of shaded parts indicates the numerator value, while the whole part that appears on the model indicates the denominator value.

Activity 2: Converting Common Fractions to Mixed Fractions

In this activity, we will learn to convert ordinary fractions into mixed fractions. The way to use this activity is:

Move the blue slider to the left or right to choose the denominator in the fraction you want
Move the red slider to the left or right to choose the numerator in the fraction you want
Next, the mixed fraction form of the fraction you choose will appear.

Activity 3: Division of Fractions

In this activity, we will understand the concept of division of fractions. Is it true that dividing a fraction is the same as multiplying a fraction by another fraction with the denominator and numerator reversed? To answer this, let's understand the following explanation first and then work on activity 3! Explanation: Suppose we have the following fraction division operation:

Then, the fraction division rule states that this operation can be turned into multiplication by reversing the second fraction (using the reciprocal):

Then, the result is:

This step simplifies the calculation and is the method used in division of fractions. The way to use this activity is: Division of Fraction

Choose the numerator and denominator you want by moving the slider to the left or right.
Look at the result of the division of the fraction

Fraction Multiplication

After doing the fraction division activity, multiply the two fractions, but with the fractions reversed first between the numerator and denominator.
Move the green slider to select the appropriate numerator and denominator for the first fraction.
Move the pink slider to select the appropriate numerator and denominator for the second fraction.
Summarize the results of your experiment!

Activity 4: Exercises

Now, do you understand more about division of fractions? To measure your understanding, do the following division of fractions exercises!

1. What is the result of ?

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2. Mom has brownies. If the mother wants to distribute the brownies to her children equally, how many portions will each child receive? (Answers are written in simplest fraction form)

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3. What is the result of ?

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4. Amira has bag of cat food. Her cat eats bag per week. How many weeks will the food last?

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5. What is the result of ?

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6. Andi made liter of mango juice to share with his friends. If each of Andi's friends gets liter of mango juice, how many of Andi's friends get the mango juice?

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7. What is the result of ?

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8. The perimeter of a garden is 24 meters. If the perimeter of the garden is to be potted with a distance of meter between pots, how many pots are needed?

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9. What is the result of ?

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