What is lịch trực tiếp bóng đá hôm nay type of problem "Find m for lịch trực tiếp bóng đá hôm nay equation to have two roots x1 x2 satisfying a given condition" under lịch trực tiếp bóng đá hôm nay 10th-grade Mathematics curriculum? What are lịch trực tiếp bóng đá hôm nay regulations on assessing lịch trực tiếp bóng đá hôm nay learning results for 10th-grade Mathematics in Vietnam?

View Post in Vietnamese: >> Môn toán lớp 10 Tìm m để phương trình có 2 nghiệm x1 x2 thỏa mãn điều kiện cho trước là gì? Đánh giá kết quả giáo dục môn toán lớp 10?

What is lịch trực tiếp bóng đá hôm nay type of problem"Find m for lịch trực tiếp bóng đá hôm nay equation to have two roots x1 x2 satisfying a given condition" under the10th-gradeMathematics curriculum?

This type of problem is common in lịch trực tiếp bóng đá hôm nay Mathematics curriculum at lịch trực tiếp bóng đá hôm nay upper secondary level, especially at lịch trực tiếp bóng đá hôm nay upper secondary level. It requires you to find lịch trực tiếp bóng đá hôm nay value of lịch trực tiếp bóng đá hôm nay parameter m so that lịch trực tiếp bóng đá hôm nay equation (often a quadratic equation) has two distinct roots x1, x2, and these roots satisfy a certain condition.

Find m for lịch trực tiếp bóng đá hôm nay equation to have2 roots x1 x2 satisfying a given condition

Common solution steps:

Check lịch trực tiếp bóng đá hôm nay condition for lịch trực tiếp bóng đá hôm nay equation to have 2 distinct roots:

For lịch trực tiếp bóng đá hôm nay quadratic equation ax²+bx+c=0, lịch trực tiếp bóng đá hôm nay condition for lịch trực tiếp bóng đá hôm nay equation to have two distinct roots is:

a≠0

Δ0 (where Δ=b²−4ac)

Apply Viete's theorem:

If lịch trực tiếp bóng đá hôm nay equation has two distinct roots x1, x2, then:

x1+x2=−b/a

x1.x2=c/a

Express lịch trực tiếp bóng đá hôm nay given condition in terms of x1, x2:

Based on lịch trực tiếp bóng đá hôm nay condition provided in lịch trực tiếp bóng đá hôm nay problem, express this condition in lịch trực tiếp bóng đá hôm nay form of an equation or inequality related to x1 and x2.

Substitute lịch trực tiếp bóng đá hôm nay expressions from Viete's theorem into lịch trực tiếp bóng đá hôm nay condition:

Substitute expressions x1+x2 and x1.x2 with −b/a and c/a respectively into lịch trực tiếp bóng đá hôm nay equation or inequality in step 3.

Solve lịch trực tiếp bóng đá hôm nay equation or inequality obtained:

Solve lịch trực tiếp bóng đá hôm nay equation or inequality to find lịch trực tiếp bóng đá hôm nay values of m that satisfy.

*Conclusion:

List lịch trực tiếp bóng đá hôm nay values of m found and conclude on lịch trực tiếp bóng đá hôm nay values of m for lịch trực tiếp bóng đá hôm nay equation to have two distinct roots satisfying lịch trực tiếp bóng đá hôm nay given condition.

Example:

Problem: Find m for lịch trực tiếp bóng đá hôm nay equation x²−2mx+m²−1=0 to have two distinct roots x1, x2 satisfying x1²+x2²=10.

Solution:

lịch trực tiếp bóng đá hôm nay equation has two distinct roots when Δ0 ⇔ (−2m)²−4(m²−1)0 ⇔ 40 (always true).

Apply Viete's theorem: x1+x2=2m and x1.x2=m²−1.

Problem condition: x1²+x2²=10.

Substitute Viete into lịch trực tiếp bóng đá hôm nay condition: (x1+x2)²−2x1.x2=10 ⇔ (2m)²−2(m²−1)=10.

Solve lịch trực tiếp bóng đá hôm nay equation: 4m²−2m²+2=10 ⇔ 2m²=8 ⇔ m²=4 ⇔ m=±2.

Conclusion: With m=2 or m=−2, lịch trực tiếp bóng đá hôm nay equation has two distinct roots satisfying lịch trực tiếp bóng đá hôm nay problem's condition.

Common problem types:

Find m so that lịch trực tiếp bóng đá hôm nay equation has two roots of opposite signs.

Find m so that lịch trực tiếp bóng đá hôm nay equation has two roots of lịch trực tiếp bóng đá hôm nay same sign.

Find m so that lịch trực tiếp bóng đá hôm nay equation has two roots such that one root is double lịch trực tiếp bóng đá hôm nay other.

Find m so that lịch trực tiếp bóng đá hôm nay equation has two roots satisfying a given relationship between lịch trực tiếp bóng đá hôm nay roots.

*Note: Informationis for reference only./.

Grade 10 Math: Find m for lịch trực tiếp bóng đá hôm nay equation to have 2 roots x1 x2 satisfying given condition. Evaluation of grade 10 math education results?

What are lịch trực tiếp bóng đá hôm nay regulations on assessing lịch trực tiếp bóng đá hôm nay learning results for 10th-grade Mathematics in Vietnam?

Under Section 7 of lịch trực tiếp bóng đá hôm nay General Education Program for Mathematics issued withCircular 32/2018/TT-BGDDT:

- lịch trực tiếp bóng đá hôm nay assessment ofthe learning results forMathematics aims to provide accurate, prompt information of value regarding lịch trực tiếp bóng đá hôm nay development of competencies and progress of students based on lịch trực tiếp bóng đá hôm nay requirements needed to be achieved at each grade and educational level;

Adjust teaching and learning activities to ensure lịch trực tiếp bóng đá hôm nay progress of each student and improve lịch trực tiếp bóng đá hôm nay quality of Mathematics education in particular and education quality in general.

- Combine multiple forms of assessment (process assessment, periodic assessment), using various methods (observation, performance recording, oral examinations, objective tests, essay tests, written tests, practical exercises, project-based learning products, real-world tasks,...) at appropriate times.

- Process assessment (or frequent assessment) is organized by lịch trực tiếp bóng đá hôm nay subject teacher, in combination with assessments from teachers of other subjects, lịch trực tiếp bóng đá hôm nay self-evaluation of lịch trực tiếp bóng đá hôm nay students being assessed, and evaluation from other students in lịch trực tiếp bóng đá hôm nay group, lịch trực tiếp bóng đá hôm nay class, or parents.

Process assessment accompanies lịch trực tiếp bóng đá hôm nay learning activities of students, avoiding separation between teaching and assessment processes, ensuring lịch trực tiếp bóng đá hôm nay goal of assessment for progress in students' learning.

- Periodic assessment (or summative assessment) primarily aims to evaluate learning objectives achievement.

Results from periodic and summative assessments are used to certify learning levels and recognize student achievements.

Periodic assessments are organized by educational institutions or through national examinations and assessments.

- Periodic assessment is also used for managing educational activities to ensure quality at educational institutions and for lịch trực tiếp bóng đá hôm nay development of lịch trực tiếp bóng đá hôm nay Mathematics curriculum.

- Assess students' competence through evidence showing their achievements during actions taken by students.

lịch trực tiếp bóng đá hôm nay evaluation process involves basic steps such as: determining lịch trực tiếp bóng đá hôm nay evaluation purpose; identifying necessary evidence; selecting appropriate evaluation methods and tools; collecting evidence; interpreting evidence and providing feedback.

- Focus on choosing methods and tools to evaluate competencies and elements of mathematical competence. To be specific:

+ Assess mathematical thinking and reasoning skills: methods and tools like questions (oral, written), exercises,... that require students to present, compare, analyze, aggregate, and systematize knowledge;

Apply mathematical knowledge to explain and reason.

+ Assess mathematical modeling skills: choose real-life situations triggering mathematical problems.

From this, students are required to identify a mathematical model (including formulas, equations, tables, graphs,...) for lịch trực tiếp bóng đá hôm nay situation presented in lịch trực tiếp bóng đá hôm nay problem;

Solve mathematical problems within lịch trực tiếp bóng đá hôm nay established model; express and evaluate solutions within lịch trực tiếp bóng đá hôm nay real-world context and improve lịch trực tiếp bóng đá hôm nay model if lịch trực tiếp bóng đá hôm nay resolution is unsuitable.

+ Assess mathematical problem-solving skills: use methods like encouraging students to identify situations, highlight, and explain problems to be solved;

Describe and explain lịch trực tiếp bóng đá hôm nay initial information, goals, and expectations of lịch trực tiếp bóng đá hôm nay problem situation being considered; collect, select, organize information and connect it with existing knowledge;

Use questions (may require oral or written answers) demanding students apply knowledge to solve problems, especially real-life issues; observe methods (such as checklists with predetermined criteria), observe learners during problem-solving;

Assess through practical work products (for instance, learning project products); reasonably focus on integrated assessment tasks.

+ Assess mathematical communication skills: use methods like requiring students to listen, understand, read, record (summarize), analyze, select, extract lịch trực tiếp bóng đá hôm nay basic, focal mathematical information from spoken or written texts;

Use mathematical language combined with common language in presenting, expressing, questioning, discussing, and debating mathematical content, ideas, and solutions in interaction with others.

+ Assess competence in using mathematical tools and resources: use methods requiring students to recognize lịch trực tiếp bóng đá hôm nay names, functions, specifications, preservation methods, advantages, and limitations of tools and resources for learning mathematics;

Explain how to use (appropriately) tools and resources for learning mathematics to perform learning tasks or to express mathematical reasoning and proofs.

When lịch trực tiếp bóng đá hôm nay teacher plans lessons, it is necessary to establish criteria and evaluation methods to ensure that at lịch trực tiếp bóng đá hôm nay end of each lesson, students achieve lịch trực tiếp bóng đá hôm nay basic requirements based on lịch trực tiếp bóng đá hôm nay established criteria before proceeding to further learning activities.

What are lịch trực tiếp bóng đá hôm nay general objectives when studying 10th-gradeMathematics in Vietnam?

Under Section 3 of lịch trực tiếp bóng đá hôm nay General Education Program for Math, issued withCircular 32/2018/TT-BGDDTlịch trực tiếp bóng đá hôm nay general objectives when studying10th-gradeMathematics in Vietnam are as follows:

- lịch trực tiếp bóng đá hôm nay Mathematics curriculumassists students to achieve lịch trực tiếp bóng đá hôm nay following main objectives:

+ Develop and enhance mathematical competence comprising lịch trực tiếp bóng đá hôm nay following core elements: mathematical thinking and reasoning competence; mathematical modeling competence; mathematical problem-solving competence; mathematical communication competence; and competence in using mathematical tools and resources.

+ Contribute to developing core qualities and general competencies in students aligned with lịch trực tiếp bóng đá hôm nay subjects' levels and educational stages as regulated in lịch trực tiếp bóng đá hôm nay overall program.

+ Acquire basic, essential common high school Mathematics knowledge and skills; develop lịch trực tiếp bóng đá hôm nay ability to solve integrated, interdisciplinary problems between Mathematics and other subjects like Physics, Chemistry, Biology, Geography, Information Technology, Technology, History, Arts,...; create opportunities for students to experience and apply Mathematics in reality.

+ Have a relatively comprehensive understanding of lịch trực tiếp bóng đá hôm nay usefulness of mathematics in various related professions to facilitate career orientation, as well as have sufficient minimal competence to explore issues related to mathematics throughout life.

Môn kết quả bóng đá trực tiếp lớp 10 Tìm m để

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