INTRODUCTION

Little Mathematicians in Action: Fractions are the key to understanding parts of a whole. Essential in mathematics, as we use them to divide pizzas, measure liquids, and even to count money.
Every Day is Fraction Day: Fractions appear all the time! Whether we divide an orange, follow a recipe, or want equality when sharing a chocolate bar with friends, there are the fractions.
Magic of Numbers: Fractions help us see that a number can represent something that is not whole, breaking the idea that there are only "full" numbers.
Puzzle Piece: Understanding fractions is a crucial step to unravel more complex math problems that will appear in the future.

A Universe of Numbers: Fractions are part of the mathematical universe from an early age. Starting in the 5th grade, we begin to explore this world more.
From Division to Treasure Map: Before fractions, we already learned to count, add, subtract, and divide. Fractions take all this and add a new layer of understanding.
Mathematics is an Adventure: By learning fractions, we are preparing for future mathematical adventures such as ratios, percentages, and even geometry.
On the Curriculum Map: Fractions are an important milestone in the math curriculum. They prepare for more advanced concepts and integrate many areas of mathematical knowledge.

Catch phrase: "Exploring the World of Fractions!" 🗺️✨

THEORETICAL DEVELOPMENT

What Is a Fraction: A fraction is a way of representing equal parts of a whole. Imagine a cake cut into pieces. If we cut it into 4 equal parts, each piece is a fraction of the cake.
Numerator and Denominator: The numerator shows how many parts we are considering and the denominator shows how many parts the whole was divided into. For example, in 3/4, the numerator is 3 and the denominator is 4.
Proper and Improper Fractions: A proper fraction has the numerator smaller than the denominator, like 1/2. In an improper fraction, the numerator is greater than or equal to the denominator, like 4/3 or 6/6.
Equivalent Fractions: These are fractions that look different but represent the same amount. For example, 2/4 is the same as 1/2.
Mixing and Composing Shapes with Fractions: We can visualize fractions with geometric shapes, such as circles, squares, and rectangles, dividing them into equal parts.

Unit Fraction: It is a fraction with numerator 1, like 1/4. It shows a single part of a whole divided.
Fraction of Fractions: We can have fractions of fractions, like a half of a half, which is 1/2 of 1/2, and results in 1/4.
Unit: It is the whole, the complete shape before being divided. When we talk about fractions, we are always referring to a part of this unit.

Dividing a Pizza: A pizza cut into 8 pieces can be used to show fractions. If we eat 2 pieces, we eat 2/8 of the pizza, which is the same as 1/4.
Slices of Watermelon: A watermelon cut into 16 equal slices can give children a visual idea of fractions. Eating 4 slices means eating 4/16, which is equivalent to 1/4 of the watermelon.
The Playground in Parts: A square representing a playground can be divided into 4 equal parts. Each part represents 1/4 of the playground, and all together form the unit, which is the entire playground.

Catch phrase: "In Each Piece, A New Learning!" 🍰📚

Fraction Concept: We understand what fractions are and how they represent equal parts of a whole.
Numerator/Denominator: We learned to identify the numerator and the denominator and what each represents in a fraction.
Types of Fractions: We distinguish between proper and improper fractions and how to recognize them.
Equivalent Fractions: We discovered that different fractions can mean the same thing and how to find these equivalent fractions.
Geometric Visualization: We practiced dividing geometric shapes to better understand the concept of fractions.

Part of the Whole: We understand that fractions are always parts of a whole and that whole is the unit.
Part-Whole Relationship: We established the relationship between the numerator and the denominator and how each affects the size of the fraction.
Flexibility of Fractions: We observed that there are many ways to represent the same amount with fractions and this is fundamental to solving mathematical problems.

Pizza Party: Draw a pizza and divide it into 6 equal slices. Paint 2 slices and write the fraction that represents the painted slices.
Square Garden: Imagine a square garden divided into 4 equal parts. If we plant flowers in 3 of these parts, what fraction of the garden is occupied with flowers?
Fractions of the Day: Think of a day divided into 24 equal hours. What fraction of the day represents 8 hours? And 6 hours?

Catch phrase: "Every Fraction Tells a Story!" 📖➗