CHECKED _____________
____________________
Short-term plan for Алгебра in Grade 8
| Unit | 8.2А Quadratic equations |
|---|---|
| Teacher’s name | ____________________ |
| Date | _____________ |
| Class | Grade 8 Attendance: _____ Absent: _____ |
| Lesson topic | Solve equations |
| Learning objectives covered in this lesson (curriculum reference) | 8.2.2.5 solving this equations; 8.2.2.6 Solve fractional-rational equations; 8.2.2.7 Solve the equations given for quadratic equation ; |
| Lesson goal |
|
Lesson flow
| Lesson stage / Time | Teacher actions (complete prompts and instructions) | Student actions | Assessment (criteria • descriptors • points) | Resources |
|---|---|---|---|---|
| Lesson opening (5 min) Engagement (Storytelling with a deliberate mistake) |
Teacher: "Good morning! Today, we're architects. A client wants a rectangular garden with an area of 24 sq.m. The length is 2 meters more than the width. I quickly set up the equation: x(x+2)=24. I solved it: x²+2x-24=0, factored to (x+6)(x-4)=0, so x=4 or x=-6. I told the client the width can be 4m or -6m. They were confused! What's wrong with my solution?"
Pause for answers. Guide discussion: "Why is -6 not a valid answer in this real-life context?" Emphasize the importance of checking solutions against the problem's conditions. |
Listen to the story. Think critically. Identify the mistake: a negative length is impossible in this context. Discuss with a partner. Volunteer to explain the error and the correct interpretation (width = 4m, length = 6m). | Descriptors: The student identifies the deliberate mistake (negative solution is extraneous in context). The student explains why the solution must be positive. No points. |
Whiteboard/marker. AI Tool: ChatGPT prompt to generate similar real-life problem starters with common mistakes. |
| Откроется после регистрации: Lesson middle (20-25 min) · Lesson end (5-10 min) · Reflection (5 min) | ||||