CEADI COLABORA | 7º ano | Matemática | Volume de Blocos Retangulares | 2º Bimestre | Prof. Alyson O.

IN THIS LINK YOU CAN DOWNLOAD ACTIVITIES IN PDF FORMAT: https://drive.google.com/file/d/11t8A... 🟡 This video follows the Editorial Line: CEADI COLLABORATES To access other videos and ready-made and free lesson plans: https://sites.google.com/edu.anapolis... 📚 Pedagogical Tip | Tutorial with examples | Curriculum Matrix | Curriculum Outline | Cross-cutting themes | BNCC Skills | Digital Education 🗓️ Year/Grade: 7th Grade of Elementary School *📘 Curriculum Component: Mathematics * 📌 Theme / Object of Knowledge:* Circumference | Diameter and Radius * Examples 🎯 *Content Summary / Activities THE FIRST LINE OF THIS DESCRIPTION CONTAINS A READY-MADE ACTIVITY IN PDF FORMAT 🎯 *Content Summary / Activities Develop spatial reasoning and understanding of measurements in three dimensions. By working with rectangular blocks, students begin to understand the idea of ​​volume as the amount of space occupied by a three-dimensional object. Lesson Objectives: Understand the concept of the volume of a rectangular block. Apply the volume formula to solve problems involving rectangular blocks. Stimulate spatial visualization and the practical use of volume units. Introduction The formula for calculating the volume of a rectangular block (or rectangular parallelepiped) is given by: V = L × A × P Where: V = Volume L = Length (or base length) A = Height (or depth) P = Width (or block width) These dimensions are all measured in units of length, such as meters (m), centimeters (cm), or millimeters (mm), and the volume will be given in cubic units (m³, cm³, etc.). Understanding Volume Volume is the amount of space occupied by an object. In the case of a rectangular block, it is the result of multiplying its three dimensions: length, width, and height. The volume of an object gives us a measure of the three-dimensional space it occupies. Visual Example: Imagine a shoebox. The volume would be the space inside this box, and to calculate this volume, we multiply its dimensions (length, width, and height). Activities for 7th Grade 1. Practical Volume Calculation Objective: To apply the volume formula to solve direct problems. Example exercise: A rectangular block is 4 cm long, 3 cm wide, and 5 cm high. What is the volume of the block? Solution: V = L × W × H V = 4 × 3 × 5 = 60 cm³ Answer: The volume of the rectangular block is 60 cm³. 2. Contextualized Problem Objective: To solve volume problems in everyday situations. Example exercise: An aquarium has dimensions of 50 cm long, 30 cm wide, and 40 cm high. What is the volume of water that the aquarium can hold? Solution: V = L × A × P V = 50 × 30 × 40 = 60,000 cm³ Answer: The volume of the aquarium is 60,000 cm³ or 60 liters (since 1 liter = 1,000 cm³). 3. Exploring Volume with Real Objects Objective: To stimulate spatial visualization and the application of the concept of volume with real objects. How to do it: Bring different rectangular objects (boxes, books, bricks, etc.). Ask students to measure the length, width, and height of each object with a ruler. Calculate the volume of each object using the formula. Discuss the units of measurement and how volume can vary according to the size of the object. 4. Challenge with Volume Unit Conversions Objective: To work with volume unit conversions. Example exercise: Calculate the volume of a rectangular block that is 2 m long, 0.5 m wide, and 0.3 m high. Then, convert the volume to liters. Solution: V = 2 × 0.5 × 0.3 = 0.3 m³ To convert cubic meters to liters, we use the relationship: 1 m³ = 1000 liters Therefore, 0.3 m³ = 300 liters Answer: The volume of the block is 300 liters. 5. Question and Answer Game Objective: To reinforce learning with a review of volume concepts. How to do it: Create a question and answer game with different volume problems. Divide the class into groups and, for each question answered correctly, the group advances in the game. Example question: “What is the volume of a rectangular block with dimensions of 10 cm, 5 cm, and 2 cm?” Answer: V = 10 × 5 × 2 = 100 cm³ 6. Volume Problems with Changes in Dimensions Objective: To develop logical reasoning with variations in the dimensions of the block. Example exercise: A block has a volume of 360 cm³. We know that its length is 12 cm and its width is 6 cm. What is the height of the block? Solution: We know that the volume is given by V = L × W × D 360 = 12 × 6 × D 360 = 72 × D D = 360 / 72 = 5 cm Answer: The height of the block is 5 cm. Conclusion: The study of the volume of rectangular blocks is fundamental for students to understand measurement in three dimensions and its practical applications. ---- ➡️ This content was produced by the Municipality of Anápolis, SEMED - Municipal Department of Education, CEADI – Municipal Center for Distance Learning of Anápolis. ✨ Also visit our website: 👍https://sites.google.com/ed...