What is vtv5 trực tiếp bóng đá hôm nay formula for a geometric progression? From which grade will students in Vietnam learn geometric progression?

What is vtv5 trực tiếp bóng đá hôm nay formula for a geometric progression?

A geometric progression (geometric sequence) is a sequence of numbers where, starting from vtv5 trực tiếp bóng đá hôm nay second term, each term equals vtv5 trực tiếp bóng đá hôm nay previous term multiplied by a constant number. This constant number is called vtv5 trực tiếp bóng đá hôm nay common ratio of vtv5 trực tiếp bóng đá hôm nay geometric progression, usually denoted by q.

Example: vtv5 trực tiếp bóng đá hôm nay sequence 1, 2, 4, 8, 16,... is a geometric progression with a common ratio q = 2.

*Note: vtv5 trực tiếp bóng đá hôm nay information is for reference purposes only./.

What is vtv5 trực tiếp bóng đá hôm nay formula for geometric progression? When will students learn it? (Image from vtv5 trực tiếp bóng đá hôm nay Internet)

When will students in Vietnam learn vtv5 trực tiếp bóng đá hôm nay formula for geometric progression?

According to Section V of vtv5 trực tiếp bóng đá hôm nay Appendix to vtv5 trực tiếp bóng đá hôm nay Mathematics Curriculum of vtv5 trực tiếp bóng đá hôm nay General Education Program issued together withCircular 32/2018/TT-BGDDT, vtv5 trực tiếp bóng đá hôm nay requirements for writing skills in Vietnamese for Grade 5 are as follows:

Students will learn following lessons on thesequence section, arithmetic progression, geometric progression

[1]Geometric progression, general term of a geometric progression, sum of vtv5 trực tiếp bóng đá hôm nay first n terms of a geometric progression whereby students are required to:

- Recognize a sequence as a geometric progression.

- Explain vtv5 trực tiếp bóng đá hôm nay formula to determine vtv5 trực tiếp bóng đá hôm nay general term of a geometric progression.

- Calculate vtv5 trực tiếp bóng đá hôm nay sum of vtv5 trực tiếp bóng đá hôm nay first n terms of a geometric progression.

- Solve practical problems related to geometric progression to solve some real-world problems (e.g., some issues in Biology, Population Education,...).

[2]Limits of sequences. Operations on sequence limits. Sum of an infinite geometric progression, whereby students are required to:

Thus,according to vtv5 trực tiếp bóng đá hôm nay regulations, students will learn vtv5 trực tiếp bóng đá hôm nay formula for geometric progression from vtv5 trực tiếp bóng đá hôm nay grade 11 Mathematics curriculum.

Whatmathematical competenciesare developed by theMathematics according vtv5 trực tiếp bóng đá hôm nay 2018 General Education Program in Vietnam?

According to Section III of vtv5 trực tiếp bóng đá hôm nay Appendix to vtv5 trực tiếp bóng đá hôm nay Mathematics Curriculum of vtv5 trực tiếp bóng đá hôm nay General Education Program issued together withCircular 32/2018/TT-BGDDT, Mathematics in vtv5 trực tiếp bóng đá hôm nay 2018 General Education Program helps develop vtv5 trực tiếp bóng đá hôm nay following mathematical competencies:

vtv5 trực tiếp bóng đá hôm nay Mathematics Curriculum helps students achieve vtv5 trực tiếp bóng đá hôm nay following main objectives:

- Develop mathematical competencies, including core components such as mathematical thinking and reasoning skills, mathematical modeling skills, problem-solving skills, mathematical communication skills, and skills in using tools and means to learn mathematics.

- Contribute to forming and developing essential qualities and common competencies in students according to levels appropriate to vtv5 trực tiếp bóng đá hôm nay subject, educational level stipulated in vtv5 trực tiếp bóng đá hôm nay Overall Program.

- Have basic, essential general mathematical knowledge and skills; develop problem-solving capabilities with interdisciplinary integration between Mathematics and other subjects such as Physics, Chemistry, Biology, Geography, Information Technology, Technology, History, Arts,...; create opportunities for students to experience and apply mathematics in practice.

- Have a relatively general understanding of vtv5 trực tiếp bóng đá hôm nay usefulness of mathematics in various careers to provide a basis for career orientation, as well as sufficient competencies to explore mathematical issues throughout their life.

Thus, vtv5 trực tiếp bóng đá hôm nay goal of Mathematics in vtv5 trực tiếp bóng đá hôm nay 2018 General Education Program is to develop vtv5 trực tiếp bóng đá hôm nay following mathematical competencies:

- Mathematical thinking and reasoning skills;

- Mathematical modeling skills.

Additionally, at different educational levels, specific objectives must be met as follows:

* Objectives at vtv5 trực tiếp bóng đá hôm nay primary education level

vtv5 trực tiếp bóng đá hôm nay primary education level aims to help students achieve vtv5 trực tiếp bóng đá hôm nay following main objectives:

- Contribute to forming and developing mathematical competencies with vtv5 trực tiếp bóng đá hôm nay requirements to be achieved: perform basic thinking operations at a simple level; pose and answer questions when reasoning and solving simple problems; select mathematical operations and formulas for arithmetic to present, express (orally or in writing) contents, ideas, and ways to solve problems; use mathematical language combined with common language and body movements to express mathematical content in simple situations; use simple tools and means to carry out tasks in mathematics learning.

- Have basic and essential initial mathematical knowledge and skills about:

+ Numbers and calculations: Natural numbers, fractions, decimals, and operations on those sets of numbers.

+ Geometry and Measurement: Observe, identify, describe shapes and features (at a visual level) of some flat shapes and solids in practice; create some simple geometric models; calculate some geometric quantities; develop spatial imagination; solve some practical problems tied to Geometry and Measurement (with common measurement units).

+ Statistics and Probability: Some basic elements of statistics and probability; solve some simple practical problems related to statistics and probability.

- Along with other subjects and educational activities such as Ethics, Nature and Society, Experiential Activities,... contribute to helping students have initial understandings of some careers in society.

* Objectives at vtv5 trực tiếp bóng đá hôm nay lower secondary education level

vtv5 trực tiếp bóng đá hôm nay lower secondary education level aims to help students achieve vtv5 trực tiếp bóng đá hôm nay following main objectives:

- Contribute to forming and developing mathematical competencies with vtv5 trực tiếp bóng đá hôm nay requirements to be achieved: pose and answer questions when reasoning, solving problems; perform reasonable reasoning when solving problems; prove not too complex mathematical propositions; use mathematical models (mathematical formulas, algebraic equations, representations,...) to describe real-world problems in not too complex scenarios; use mathematical language combined with common language to express mathematical content and demonstrate evidence, reasoning, and results; present ideas and use tools, math learning means to accomplish a learning task or express mathematical reasoning.

- Have basic mathematical knowledge and skills about:

+ Numbers and Algebra: Number system (from natural numbers to real numbers); calculation and use of calculating tools; algebraic language and symbols; transformation of algebraic expressions, equations, systems of equations, inequalities; use of functional language to describe (model) some processes and phenomena in practice.

+ Geometry and Measurement: vtv5 trực tiếp bóng đá hôm nay content of Geometry and Measurement at this level includes Visual Geometry and Plane Geometry. Visual Geometry continues to provide language, symbols, describes (visually) objects in practice (flat shapes, solids); create some common geometric models; calculate some geometric elements; develop spatial imagination; solve some practical problems tied to Geometry and Measurement. Plane Geometry provides knowledge and skills (at a level of logical reasoning) about geometric relationships and some common flat shapes (point, line, ray, segment, angle, two parallel lines, triangle, quadrilateral, circle).

+ Statistics and Probability: Collect, classify, display, analyze, and process statistical data; analyze statistical data through frequency, relative frequency; identify some simple statistical laws in practice; use statistical analysis to understand basic concepts of experimental probability and event probability; recognize vtv5 trực tiếp bóng đá hôm nay significance of probability in practice.

+ Contribute to helping students have initial understandings of careers related to Mathematics; foster career awareness based on abilities and interests, conditions, and circumstances of oneself; guide educational streamlining after lower secondary education (continue studying, vocational training, or enter vtv5 trực tiếp bóng đá hôm nay labor market).

- Upper secondary school level objectives

vtv5 trực tiếp bóng đá hôm nay upper secondary school level aims to help students achieve vtv5 trực tiếp bóng đá hôm nay following main objectives:

+ Contribute to forming and developing mathematical competencies with vtv5 trực tiếp bóng đá hôm nay requirements to be achieved: pose and answer questions when reasoning, solving problems; use reasoning methods, induction, and deduction to understand different approaches to solve problems; establish mathematical models to describe situations, thereby proposing a solution to vtv5 trực tiếp bóng đá hôm nay mathematical problems posed in vtv5 trực tiếp bóng đá hôm nay established model; implement and present vtv5 trực tiếp bóng đá hôm nay problem-solving solutions and evaluate vtv5 trực tiếp bóng đá hôm nay solutions, generalize for similar problems; use tools and means for studying Mathematics to discover and solve mathematical problems.

+ Have basic and essential mathematical knowledge and skills about:

++ Algebra and Elements of Calculus: Calculation and use of calculating tools; use of algebraic language and symbols; transformation of algebraic and transcendental expressions (trigonometric, exponential, logarithmic), equations, systems of equations, inequalities; recognition of basic elementary functions (power, trigonometric, exponential, logarithmic); study functions and draw graphs using vtv5 trực tiếp bóng đá hôm nay derivative; use of integral calculus to calculate areas of plane figures and volumes of solids in space.

+ Geometry and Measurement: Provide knowledge and skills (at a level of logical reasoning) about geometric relationships and some familiar planar and solid shapes; algebraic methods (vector, coordinate) in geometry; develop spatial imagination; solve practical problems tied to Geometry and Measurement.

+ Statistics and Probability: Improve vtv5 trực tiếp bóng đá hôm nay capabilities of collecting, classifying, displaying, analyzing, and processing statistical data; use analysis tools for statistical data through central tendency measures and dispersion measures for grouped and ungrouped data; use statistical laws in practice; recognize random models, basic concepts of probability, and vtv5 trực tiếp bóng đá hôm nay significance of probability in practice.

+ Contribute to providing students with a relatively general understanding of careers related to Mathematics and its value; provide a basis for career orientation after upper secondary school; have minimal competencies to explore mathematical issues throughout life.