"Understanding of Cuboid" Cuboid (1) PPT (Lesson 1)

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"Understanding of Cuboid" Cuboid (1) PPT (Lesson 1)

Part One: Learning Objectives

1. Understand cuboids and cubes through observation, operation and other activities, master the basic characteristics of cuboids and cubes, and understand the relationship between them.

2. Let students experience the whole process of inquiry in operational activities and further accumulate inquiry experience through cooperative learning.

3. Enhance spatial concepts and develop mathematical thinking abilities.

[Key Points] Understand cuboids and cubes, master the basic characteristics of cuboids and cubes, and understand the relationship between them.

[Difficulty] Master the basic characteristics of cuboids and cubes, and understand the relationship between them.

PPT on understanding cuboids, part 2: introduction of new knowledge

What three-dimensional shapes have you already recognized?

In life, what other objects have you seen that are in the shape of a cuboid or a cube?

Which objects in life are shaped like a cuboid or a cube?

The flat parts of the cuboid are the faces of the cuboid.

What are the faces of a cuboid?

The cuboid has six faces, namely left and right; upper and lower; front and back.

How many faces does a cuboid have?

The two opposite faces of a cuboid are equal. Front = back; top = bottom; left = right.

What are the characteristics of the faces of a cuboid?

PPT on understanding cuboids, part 3: classroom exercises

1. Find an object whose shape is a cuboid or cube, and tell your partner about its vertices, faces and edges.

2. The picture on the right is a rectangular box. (The upper and lower sides are approximately the same, unit: cm)

(1) What is the shape of the top of this box? What are the length and width? Which face has the same shape and size as it? What about the left side?

Answer: The top of this box is rectangular, the length and width are 36cm and 28cm respectively, and the bottom is the same shape and size; the left side is a rectangle, the length and width are 28cm and 10cm respectively, and the right side is exactly the same as it. .

(2) Which side is 36cm long and 10cm wide?

3. The cuboids below are all made of small cubes with an edge length of 1cm. What are their length, width and height?

4. Judgment.

(1) A cuboid has 6 faces, 12 edges, and 8 vertices. ( )

(2) The lengths of the 12 edges of the cuboid are equal. ( )

(3) A cuboid has at most two square faces. ( )

(4) The lengths of the 12 edges of the cube are equal. ( )

PPT on understanding cuboids, part 4: Class summary

Characteristics of a cuboid: It has 6 faces, all of which are rectangles (sometimes the two opposite faces are squares). The opposite faces have the same shape and the area (size) is equal; it has 12 edges, and the opposite edge lengths are equal; and 8 vertices. .

Characteristics of a cube: It has 6 faces, all of which are squares, with equal areas; 12 edges of equal length; and 8 vertices.

The relationship between cube and cuboid: Cube is a special cuboid.

PPT on understanding cuboids, part 5: homework

1. Fill in the table with the area of ​​each face of the cuboid below. (Unit: cm)

2. The picture below shows a rectangular lantern frame. How many centimeters of wooden strips are needed to make such a frame? (Unit: cm)

Answer: To make such a frame, at least 280 cm long wooden strips are required.

3. Use a 28cm long wire to make a rectangular frame with an edge length of a whole centimeter. How many centimeters might the length, width and height of this rectangular frame be? Think about it and fill it out.

28÷4＝7（cm）

4. The length, width and height of a cuboid are 10cm, 7cm and 4cm respectively. What is the sum of the edge lengths of this cuboid in centimeters?

Answer: The sum of the edge lengths of this cuboid is 84 cm.

5. If an iron wire is made into a cube with an edge length of 8dm, how many decimeters is the length of the iron wire at least?

Answer: This wire is at least 96 decimeters long.

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For more information about the "Understanding of Cuboids and Cuboids" PPT courseware, please click on the PPT tag of "Understanding of Cuboids and Cuboids".

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Update Time: 2024-11-21

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