Which grade students xem bóng đá trực tiếp nhà cái Vietnam start to study space geometry?

Which grade students xem bóng đá trực tiếp nhà cái Vietnam start to study space geometry?

Based on sub-item 2 of Section 5 xem bóng đá trực tiếp nhà cái the High School Mathematics Curriculum issued together withCircular 32/2018/TT-BGDĐT, students xem bóng đá trực tiếp nhà cái grades 11 and 12 are allowed to study space geometry. The specific distribution of content strands across the grades is as follows:

See the High School Mathematics Curriculum issued together withCircular 32/2018/TT-BGDĐT:

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Which grade students xem bóng đá trực tiếp nhà cái Vietnam start to study space geometry? (Internet image)

What are the required learning outcomes for 11th grade students xem bóng đá trực tiếp nhà cái Vietnam studying space geometry?

Based on sub-item 3 of Section 5 xem bóng đá trực tiếp nhà cái the High School Mathematics Curriculum issued together withCircular 32/2018/TT-BGDĐT, the required outcomes for 11th grade students studying space geometry include the following:

(1) Requirements regarding lines and planes xem bóng đá trực tiếp nhà cái space:

Including content about lines and planes xem bóng đá trực tiếp nhà cái space; How to determine a plane; Pyramids and tetrahedrons.

- Identify basic affiliated relationships between points, lines, and planes xem bóng đá trực tiếp nhà cái space.

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

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

- Apply properties of the intersection line of two planes; the intersection point of a line and a plane to solve exercises.

- Recognize pyramids and tetrahedrons.

- Apply knowledge of lines and planes xem bóng đá trực tiếp nhà cái space to describe some images xem bóng đá trực tiếp nhà cái practice.

(2) Requirements regarding parallel relationships xem bóng đá trực tiếp nhà cái space. Parallel projection:- Two parallel lines:

+ Identify relative positions of two lines xem bóng đá trực tiếp nhà cái space: two overlapping lines, parallel lines, intersecting lines, skew lines xem bóng đá trực tiếp nhà cái space.

+ Explain the basic property of two parallel lines xem bóng đá trực tiếp nhà cái space.

+ Apply knowledge of two parallel lines to describe some images xem bóng đá trực tiếp nhà cái practice.

- Line parallel to plane:

+ Recognize a line parallel to a plane.

+ Explain the condition for a line to be parallel to a plane.

+ Explain the basic property of a line parallel to a plane.

+ Apply knowledge of lines parallel to planes to describe some images xem bóng đá trực tiếp nhà cái practice.

- Two parallel planes. Thales theorem xem bóng đá trực tiếp nhà cái space. Prism and box shapes:

+ Recognize two parallel planes xem bóng đá trực tiếp nhà cái space.

+ Explain the condition for two planes to be parallel.

+ Explain the basic property of two parallel planes.

+ Explain Thales' theorem xem bóng đá trực tiếp nhà cái space.

+ Explain the basic properties of prismatic and box shapes.

+ Apply knowledge of parallel relationships to describe some images xem bóng đá trực tiếp nhà cái practice.

- Parallel projection. The representation of a shape xem bóng đá trực tiếp nhà cái space:

+ Recognize the concept and basic properties of parallel projection.

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

+ Draw representative figures of some simple solid shapes.

+ Apply knowledge of parallel projection to describe some images xem bóng đá trực tiếp nhà cái practice.

(3) Requirements regarding perpendicular relationships xem bóng đá trực tiếp nhà cái space. Perpendicular projection:

- The angle between two lines. Two perpendicular lines:

+ Recognize the concept of the angle between two lines xem bóng đá trực tiếp nhà cái space.

+ Recognize two perpendicular lines xem bóng đá trực tiếp nhà cái space.

+ Prove two perpendicular lines xem bóng đá trực tiếp nhà cái space xem bóng đá trực tiếp nhà cái some simple cases.

+ Use knowledge of two perpendicular lines to describe some images xem bóng đá trực tiếp nhà cái practice.

- Line perpendicular to plane. The three-perpendicular theorem. Perpendicular projection:

+ Recognize a line perpendicular to a plane.

+ Determine the condition for a line to be perpendicular to a plane.

+ Explain the three-perpendicular theorem.

+ Explain the relationship between parallelism and perpendicularity of lines and planes.

+ Recognize the concept of perpendicular projection.

+ Determine the perpendicular projection of a point, a line, a triangle.

+ Recognize the formula for the volume of pyramids, prisms, and boxes.

+ Calculate the volume of pyramids, prisms, and boxes xem bóng đá trực tiếp nhà cái simple cases (e.g., recognize the height and base area of a pyramid).

+ Apply knowledge of lines perpendicular to planes to describe some images xem bóng đá trực tiếp nhà cái practice.

- Two perpendicular planes. Prismatic shapes, square prism shapes, rectangular box shapes, cube shapes, regular pyramids:

+ Recognize two perpendicular planes xem bóng đá trực tiếp nhà cái space.

+ Determine the condition for two planes to be perpendicular.

+ Explain the basic property of two perpendicular planes.

+ Explain the basic properties of prismatic shapes, square prisms, rectangular boxes, cubes, regular pyramids.

+ Apply knowledge of two perpendicular planes to describe some images xem bóng đá trực tiếp nhà cái practice.

- Distance xem bóng đá trực tiếp nhà cái space:+ Determine the distance from a point to a line; the distance from a point to a plane; the distance between two parallel lines; the distance between a line and a parallel plane; the distance between two parallel planes xem bóng đá trực tiếp nhà cái simple cases.

+ Recognize the common perpendicular of two skew lines; calculate the distance between two skew lines xem bóng đá trực tiếp nhà cái simple cases (e.g., one line perpendicular to the plane containing the other line).

+ Use knowledge of distance xem bóng đá trực tiếp nhà cái space to describe some images xem bóng đá trực tiếp nhà cái practice.

- The angle between a line and a plane. Dihedral angle and plane angle of a dihedral angle:

+ Recognize the concept of the angle between a line and a plane.

+ Determine and calculate the angle between a line and a plane xem bóng đá trực tiếp nhà cái simple cases (e.g., know the perpendicular projection of the line onto the plane).

+ Recognize the concept of dihedral angle, plane angle of a dihedral angle.

+ Determine and calculate the measure of the dihedral angle, plane angle of a dihedral angle xem bóng đá trực tiếp nhà cái simple cases (e.g., recognize the plane perpendicular to the edge of the dihedral angle).

+ Use knowledge of the angle between a line and a plane, dihedral angles to describe some images xem bóng đá trực tiếp nhà cái practice.

- Truncated regular pyramids and volume:+ Recognize the concept of truncated regular pyramids.

+ Calculate the volume of truncated regular pyramids.

+ Apply knowledge of truncated regular pyramids to describe some images xem bóng đá trực tiếp nhà cái practice.

What are the required learning outcomes for 12th grade students xem bóng đá trực tiếp nhà cái Vietnam studying space geometry?

Based on sub-item 3 of Section 5 xem bóng đá trực tiếp nhà cái the High School Mathematics Curriculum issued together withCircular 32/2018/TT-BGDĐT, the specified required outcomes for 12th grade students studying space geometry are as follows:

Requirements regarding the coordinate method xem bóng đá trực tiếp nhà cái space:

(1) The coordinates of a vector with respect to a coordinate system. Coordinate expressions of vector operations:

- Recognize vectors and vector operations xem bóng đá trực tiếp nhà cái space (addition and subtraction of two vectors, scalar multiplication of a vector, dot product of two vectors).

- Recognize the coordinates of a vector with respect to a coordinate system.

- Determine the length of a vector given the coordinates of its endpoints and the coordinate expressions of vector operations.

- Determine the coordinate expressions of vector operations.

- Apply vector coordinates to solve some real-life related problems.

(2) Plane equations:

- Recognize the general equation of a plane.

- Formulate the general equation of a plane xem bóng đá trực tiếp nhà cái the Oxyz coordinate system xem bóng đá trực tiếp nhà cái one of three basic ways: through a point and knowing the normal vector; through a point and knowing a pair of direction vectors (derive the normal vector by finding a vector perpendicular to the pair of direction vectors); through three non-collinear points.

- Formulate the conditions for two planes to be parallel, perpendicular to each other.

- Calculate the distance from a point to a plane using the coordinate method.

- Apply knowledge of plane equations to solve some real-life related problems.

(3) Line equations xem bóng đá trực tiếp nhà cái space:

- Recognize canonical equations, parametric equations, and direction vectors of a line xem bóng đá trực tiếp nhà cái space.

- Formulate the equation of a line xem bóng đá trực tiếp nhà cái the coordinate system by one of two basic ways: through a point and knowing a direction vector, through two points.

- Determine the conditions for two lines to be skew, intersect, parallel, or perpendicular to each other.

- Formulate the formula to calculate angles between two lines, between a line and a plane, between two planes.

- Apply knowledge of line equations xem bóng đá trực tiếp nhà cái space to solve some real-life related problems.

(4) Sphere equations:

- Recognize the equation of a sphere.

- Determine the center and radius of the sphere given its equation.

- Formulate the equation of the sphere given its center and radius.

- Apply knowledge of sphere equations to solve some real-life related problems.