TANGRAM e FRAÇÕES - Entenda definitivamente a relação entre eles | Ajuda Aí, Professor!

Summary

In this educational video, Professor Nilson introduces the Chinese puzzle known as Tangram, demonstrating how its pieces can form various beautiful geometric shapes. The video explores the mathematical concepts of fractions by analyzing how each Tangram piece relates to the whole, emphasizing the use of fractions like 1/16, 1/8, and 1/4. Through clear visual instructions, Professor Nilson teaches how to divide a square into smaller sections, calculate areas of different geometric figures, and apply basic fraction operations. The lesson culminates in an engaging challenge to construct shapes using the Tangram pieces while understanding their fractional values.

Takeaways

• 😀 The video introduces a special puzzle called Tangram, which consists of geometric shapes that can be used to form various figures.
• 😀 Tangram originates from China and is a great tool for understanding geometric fractions and relationships between different shapes.
• 😀 The puzzle consists of several pieces: one large square, two large triangles, two small triangles, and one medium triangle.
• 😀 A key focus of the lesson is understanding how to calculate the fractions each piece represents in relation to the whole puzzle.
• 😀 The process starts by dividing a large square into 16 smaller equal parts to visualize the fractions more clearly.
• 😀 By drawing diagonals within the square, students can understand how the area of each piece is related to the total area of the square.
• 😀 Fractions are calculated by analyzing the number of parts each piece occupies out of the total 16 smaller units within the square.
• 😀 The lesson explains how to determine the fraction of each piece, such as one-eighth for smaller triangles and one-quarter for larger triangles.
• 😀 The video demonstrates how to break down the Tangram pieces into smaller sections and calculate their areas step by step using fractions.
• 😀 Understanding fractions through the Tangram puzzle helps students gain insights into basic geometry and the principles of area division.

Q & A

What is the main focus of this lesson in the video?

The main focus of the lesson is to introduce the Tangram puzzle and explore how its pieces can be used to form various geometric shapes, while also learning about fractions and their relationship to the puzzle's pieces.

What is a Tangram, and how is it structured?

A Tangram is a Chinese puzzle made up of seven pieces: one large triangle, two smaller triangles, a square, and a parallelogram. These pieces are used to form various shapes and are key to understanding geometric concepts and fractions.

How are the pieces of the Tangram puzzle related to fractions?

Each piece of the Tangram puzzle represents a specific fraction of the whole square. The video explains how to calculate the fraction each piece corresponds to by dividing the square into smaller, equal parts.

What is the total number of parts in the square used in the lesson?

The square is divided into 16 equal parts, and the lesson demonstrates how these parts relate to the pieces of the Tangram puzzle.

How is the square divided to form the Tangram puzzle pieces?

The square is divided into 16 equal smaller squares, and then diagonals are drawn to separate the pieces into triangles, with some additional steps to visualize the relationships between the pieces.

What does each small square in the divided square represent?

Each small square represents one-sixteenth (1/16) of the total area of the large square. This helps to understand how each Tangram piece relates to the whole square in terms of area.

How is the concept of fractions explained in relation to the Tangram?

Fractions are explained through the process of dividing the square into 16 parts. Each piece of the Tangram puzzle is then assigned a fraction based on how many of these 16 parts it occupies.

How is the area of each Tangram piece calculated?

The area of each Tangram piece is calculated by dividing the total square into 16 equal parts and determining how many of these parts each piece occupies. For example, one of the larger triangles occupies 1/4 of the area of the square.

What mathematical operation is used to simplify fractions in the lesson?

The lesson demonstrates how to simplify fractions by dividing both the numerator and denominator by their greatest common divisor. For instance, 2/16 is simplified to 1/8.

Why is understanding fractions important for solving Tangram puzzles?

Understanding fractions is crucial for determining how the pieces of the Tangram puzzle fit together and for calculating the areas of the shapes formed. This knowledge also helps in creating accurate representations of the shapes using the puzzle pieces.