What is the Delta Formula according to Mathematics curriculum in Vietnam? What are the requirements for the geometry section of primary-level Mathematics in Vietnam?

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What is the Delta Formula according to Mathematics curriculum in Vietnam? What are the requirements for the geometry section of primary-level Mathematics in Vietnam?

What is the Delta Formula according to Mathematics curriculum in Vietnam?

The Delta Formula is one of the formulas that students will encounter in the mathematics curriculum.

What is the Delta Formula

What is the Delta Formula?

*Delta Formula and Meaning

The Delta Formula is a mathematical formula used to find the roots of a quadratic equation. The general form of a quadratic equation is:

ax² + bx + c = 0

*where:

a, b, and c are real coefficients, and a ≠ 0.

The Delta Formula is calculated as follows:

Δ = b² - 4ac

*Meaning of Delta:

The value of Delta indicates the number of roots of the quadratic equation:

Δ > 0: The equation has two distinct roots.

Δ = 0: The equation has a double root (two equal roots).

Δ < 0: The equation has no real roots (no solutions).

*Example:

Solve the equation: 2x² - 5x + 3 = 0

a = 2, b = -5, c = 3*

Δ = (-5)² - 423 = 1* Since Δ > 0, the equation has two distinct roots.

x₁ = (5 + √1) / (22) = 3/2

x₂ = (5 - √1) / (22) = 1

Thus, the equation has two roots, x₁ = 3/2 and x₂ = 1.

*Some Practice Problems

Problem 1:

Solve the equation: x² - 6x + 5 = 0

Guidance:

Step 1: Identify the coefficients a, b, c:

a = 1

b = -6

c = 5

Step 2: Calculate Delta: Δ = b² - 4ac = (-6)² - 415 = 16

Step 3: Conclude on the number of roots and find the roots: Since Δ > 0, the equation has two distinct roots. Applying the root formula, we have:

x₁ = (6 + √16) / (21) = 5

x₂ = (6 - √16) / (21) = 1

Result: The equation has two roots, x₁ = 5 and x₂ = 1.

Problem 2:

Solve the equation: 4x² + 4x + 1 = 0

Guidance:

Step 1: Identify the coefficients a, b, c:

a = 4

b = 4

c = 1

Step 2: Calculate Delta: Δ = b² - 4ac = 4² - 441 = 0

Step 3: Conclude on the number of roots and find the root: Since Δ = 0, the equation has a double root. Applying the root formula, we have: x = -b / (2a) = -4 / (24) = -1/2

Result: The equation has a double root x = -1/2.

Problem 3:

Solve the equation: x² + x + 1 = 0

Guidance:

Step 1: Identify the coefficients a, b, c:

a = 1

b = 1

c = 1

Step 2: Calculate Delta: Δ = b² - 4ac = 1² - 41*1 = -3

Step 3: Conclude on the number of roots: Since Δ < 0, the equation has no real roots.

Self-practice exercises:

Try solving the following equations:

2x² - 7x + 3 = 0

x² + 8x + 16 = 0

3x² - 2x + 1 = 0

*Note: Information is for reference only./.

What is the Delta Formula in Mathematics? What are the requirements for Geometry in elementary mathematics?

What is the Delta Formula according to Mathematics curriculum in Vietnam? What are the requirements for the geometry section of primary-level Mathematics in Vietnam? (Image from the Internet)

What are the requirements for the geometry section of primary-level Mathematics in Vietnam?

According to Subsection 2, Section 3 of the Mathematics Curriculum for General Education issued with Circular 32/2018/TT-BGDDT, the objectives that primary students need to achieve in mathematics are as follows:

- Contribute to forming and developing mathematical competencies with the required abilities: perform thinking operations at a simple level; pose and answer questions when arguing and solving simple problems; select mathematical operations and formulas to present and express (orally or in writing) contents, ideas, ways of solving problems; use mathematical language in combination with ordinary language and body language to express mathematical content in simple situations; use simple tools and means for learning mathematics to perform simple mathematical learning tasks.

- Have basic and essential initial knowledge and skills in mathematics regarding:

+ Numbers and calculations: Natural numbers, fractions, decimal numbers, and operations on these sets of numbers.

+ Geometry and Measurement: Observe, recognize, and describe the shape and characteristics (visually) of some flat and solid figures in reality; create some simple geometric models; calculate some geometric quantities; develop spatial imagination; solve some simple practical problems related to Geometry and Measurement (with common measurement quantities).

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

- Together with other subjects and educational activities such as Ethics, Nature and Society, Experience Activities, etc., contribute to helping students have initial understanding of some professions in society.

>> View the Mathematics Curriculum for General Education issued with Circular 32/2018/TT-BGDĐT: Download

What are the latest regulations on Grade 4 Mathematics textbooks in Vietnam?

Based on the list of Grade 4 textbooks used in general educational institutions issued with Decision 4434/QD-BGDDT in 2022, the Ministry of Education and Training approved the latest Grade 4 Mathematics textbooks for primary students, including:

No.	Book Title	Author	Publisher
1.	Toan 4	Ha Huy Khoai (General Chief Author), Le Anh Vinh (Chief Author), Nguyen Ang, Vu Van Duong, Nguyen Minh Hai, Hoang Que Huong, Bui Ba Manh.	Vietnam Education Publishing House
2.	Toan 4	Tran Nam Dung (General Chief Author), Khuc Thanh Chinh (Chief Author), Dinh Thi Xuan Dung, Nguyen Kinh Duc, Dau Thi Hue, Dinh Thi Kim Lan, Huynh Thi Kim Trang.	Vietnam Education Publishing House
3.	Toan 4	Do Duc Thai (General Chief Author), Do Tien Dat (Chief Author), Nguyen Hoai Anh, Tran Thuy Nga, Nguyen Thi Thanh Son.	University of Education Publishing House
4.	Toan 4	Tran Dien Hien (Chief Author), Nguyen Dinh Khue, Dao Thai Lai, Nguyen Thi Kieu Oanh, Pham Thanh Tam, Nguyen Thuy Van.	Vinh University Publishing House

>> CLICK HERE TO READ THIS ARTICLE IN VIETNAMESE

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