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КСП «Finding the roots of a single-variable polynomial by factoring. Division by a “corner” of a polynomial into a…» по математике, 10 класс

Краткосрочный план урока по математике для 10 класса по теме «Finding the roots of a single-variable polynomial by factoring. Division by a “corner” of a polynomial into a polynomial». Открыты цели обучения, цели урока и начало урока; весь план и файл Word — после бесплатной регистрации. Материал написан на английском языке.

  • Математика
  • 10 класс
  • Обновлено 25.09.2026
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Short-term plan for Mathematics in Grade 10

UnitPolynomials and Rational Expressions
Teacher’s name____________________
Date_____________
ClassGrade 10   Attendance: _____   Absent: _____
Lesson topicFinding the roots of a single-variable polynomial by factoring. Division by a “corner” of a polynomial into a polynomial.
Learning objectives covered in this lesson (curriculum reference)To find the roots (zeros) of a single-variable polynomial by applying various factoring techniques (such as grouping, difference of squares, and trinomial factoring). To perform division of a polynomial by another polynomial using the long division method (often called the "corner" or "bus stop" method).
Lesson goal
  1. By the end of the lesson, students will be able to find the roots of a polynomial (degree ≤ 4) by factoring using grouping, difference of squares, or trinomial factoring, with at least 80% accuracy on core tasks.
  2. Students will be able to perform polynomial long division (corner method) for polynomials of degree ≤ 3 divided by linear or quadratic divisors, correctly completing at least 3 out of 4 steps.
  3. Students will apply factoring and long division to solve a real-world problem (e.g., area/volume modelling) and justify their reasoning.

Lesson flow

Lesson stage / TimeTeacher actions (complete prompts and instructions)Student actionsAssessment (criteria • descriptors • points)Resources
Lesson opening (5 min)
Engagement (meme)

Teacher: "Look at this meme: a polynomial crying because it can't find its roots, and another polynomial says 'Factor me!' (show meme). Why is this about us? Let's discuss."

Dialogue script: "What does 'finding roots' mean in real life? (pause) Yes, like solving a puzzle. Today we become root detectives."

Show meme (image: sad polynomial, speech bubble). Ask: "What methods do you already know to find roots?" (listen to recall: factoring, quadratic formula).

AI tool suggestion: Use ChatGPT to generate 3 funny polynomial memes before class; display via projector.

  • Watch meme, react, share ideas.
  • Answer: "Factoring, grouping, difference of squares."
  • Connect to prior knowledge.
Descriptors only, no points:
• Participates in discussion
• Recalls at least one factoring method
• Shows curiosity
• Projector, laptop
• Meme image (pre-generated by AI)
• Whiteboard for keywords
Откроется после регистрации: Lesson middle (20-25 min) · Lesson end (5-10 min) · Reflection (5 min)

Материал опубликован обезличенно: имя автора и название школы из него убраны.

В справочнике учителя: Как составить КСП по 130 приказу пошагово: пример и шаблон

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