Film Stereometric material in the eight-year school geometry course. (1968)
Part 1
0:09:50
Part 2
0:10:16
Part 3
0:09:22Stereometric material in the eight-year school geometry course (1968)
Topics:
Annotation:
The film was created by order of the Ministry of Education of the RSFSR as a textbook on geometry for the 8th grade.
Reel №1
Carousel.
The welder welds the reinforcement grate.
Intersection of planes.
Steps.
Models of a straight line or its segments can be found in the objects around us.
Various cases of the arrangement of two straight lines.
A cartoon explaining the intersection of straight lines.
Any number of straight lines can intersect at one point in space.
The frame of the power transmission poles.
Wire lines, railway rails, straight lines that belong to the planes of the parallelepiped do not intersect, while any two of them lie in the same plane.
The concept of parallelism of straight lines.
The concept of crossing lines.
For example, the contact wires of a trolleybus and their suspension.
The rule of perpendicular lines.
A sign of the line and plane being perpendicular.
Examples.
Only one perpendicular to the plane can be lowered through this point, all other straight lines passing through this point and intersecting the plane are inclined.
The concept of oblique projection.
The concept of an inclined angle.
The concept of a straight parallel plane.
Examples.
The relative position of the planes.
The planes of the opposite walls in the room, the walls of the airlock do not intersect.
Examples of parallel planes.
Examples of intersecting planes.
The concept of half-planes.
Dihedral and linear angles.
Examples.
Key words
Basic concepts of geometry.
Reel №2
Three-dimensional geometric shapes.
The concept of a straight prism.
The concept of a parallelepiped.
Examples of a parallelepiped in the life around us.
The edges of the prism.
Characteristics of the lateral edges of a straight prism.
Characteristics of a straight prism.
The concept of the lateral surface of a straight prism.
Calculation of the total surface of a straight prism.
Calculation of the volume of a straight prism.
The concept of a pyramid.
Examples of the pyramid in the life around us.
The concept of the vertex, base, side edges of the pyramid and height.
Examples of the use of the pyramid in architecture and structures.
The area of the full surface of the pyramid.
The volume of the pyramid.
Key words
Calculations of three-dimensional geometric shapes.
Reel №3
The concept of a regular polygon.
The concept of a proper prism.
The concept of a right and wrong pyramid.
The area of the side surfaces of the regular prism and pyramid.
Examples of objects in the shape of a cylinder.
The concept of a cylinder and characteristics.
Examples.
The surface area of the cylinder.
The volume of the cylinder.
The concept of a cone and its characteristics.
Examples of using the cone shape.
The surface area of the cone.
The volume of the cone.
Key words
Regular polygons and three-dimensional shapes.