What are the content and requirements of knowledge of math on statistics - probability (part 2) in the high school curriculum in Vietnam?

No.

Content

Requirements to be met

15

Statistics and Probability (part 2)

Data analysis and processing

- Calculate the number of central trend features for ungrouped data samples: average numbers, median, quartiles, mode..

- Recognize the meaning and role of the above characteristic numbers of the data sample in practice.

The concept of classical probability

- Identify some concepts of classical probability.

Probability rules

- Calculate the probability of an event in some simple problems by combinatorial method.

- Calculate probabilities in some simple problems using tree diagrams.

No.

Content

Requirements to be met

14

Perpendicular relation in space. Orthogonal projection

Angle between two straight lines. Two perpendicular lines

- Recognize the concept of an angle between two lines in space.

- Identify two perpendicular lines in space.

- Prove that two lines are perpendicular in space in some simple cases.

- Use knowledge of two perpendicular lines to describe some images in practice.

The line is perpendicular to the plane.

- Identify lines perpendicular to a plane.

- Determine the condition for the line to be perpendicular to the plane.

- Identify the relationship between parallelism and perpendicularity of lines and planes.

- Identify formulas for the volume of pyramids, prisms, and boxes.

- Calculate the volume of pyramids, prisms, and boxes in simple cases (e.g. recognizing the height and area of ​​the base of a pyramid).

- Apply knowledge of lines perpendicular to the plane to describe some images in practice.

Two perpendicular planes. Vertical prism, regular prism, vertical box, rectangular box, cube, triangular pyramid.

- Identify two perpendicular planes in space.

- Determine the condition for two planes to be perpendicular.

- Identify the basic properties of two perpendicular planes.

- Recognize the basic properties of vertical prisms, regular prisms, vertical boxes, rectangular boxes, cubes, and triangular pyramids.

- Apply knowledge of two perpendicular planes to describe some images in practice.

Distance in space

- Determine the distance from a point to a line; distance from a point to a plane; the distance between two parallel lines; the distance between the line and the parallel plane; distance between two parallel planes in simple cases.

- Using knowledge about distance in space to describe some images in reality.

Angle between the line and the plane. The dihedral angle and the dihedral plane angle

- Understand the concept of an angle between a line and a plane.

- Understand the concept of dihedral angle, dihedral plane angle.

- Use knowledge about angle between line and plane, dihedral angle to describe some images in practice.

Triangular frustum pyramid and volume

- Recognize triangular frustum pyramids.

- Apply knowledge of regular truncated pyramids to describe some images in practice.

TT

Content

Requirements to be met

13

Lines and planes in space, parallel relationships in space, parallel projections

Lines and planes in space. How to idenfity a plane. Pyramids and tetrahedrons

- Recognize the basic interdependencies between points, lines, and planes in space.

- Describe three ways to identify a plane (through three noncollinear points; through a line and a point not on that line; through two intersecting lines).

- Determine the intersection of two planes; intersection of the line and the plane.

- Identify pyramids and tetrahedrons.

- Apply knowledge of lines and planes in space to describe some images in practice.

Two parallel lines

- Identify the relative positions of two lines in space: two lines coincide, parallel, intersect, and cross each other in space.

- Recognize the basic properties of two parallel lines in space.

- Apply knowledge of two parallel lines to describe some images in practice.

Lines and parallel planes

- Identify a line parallel to a plane.

- Identify the condition for the line to be parallel to the plane.

- Apply knowledge of lines parallel to the plane to describe some images in practice.

Two parallel planes. Thales' theorem in space. Prism and box shape

- Identify two parallel planes in space.

- Identify conditions for two planes to be parallel.

- Identify the basic properties of prisms and boxes.

- Apply knowledge of parallel relationships to describe some images in practice.

Parallel projection. Representation of a space figure

- Understand the concept and basic properties of parallel projection.

- Determine the image of a point, a line segment, a triangle, a circle through a parallel projection.

- Draw representations of some simple shapes.