How this resource helps
Full A-REI.4 parent includes both nested subparts, a valid general completed-square derivation for any nonzero real leading coefficient, all root types and exact complex forms. Standard NC.M2.A-REI.4: Solve for all solutions of quadratic equations in one variable. NC.M2.A-REI.4a Understand that the quadratic formula is the generalization of solving 𝑎𝑥^(2) + 𝑏𝑥 + 𝑐 by using the process of completing the square. NC.M2.A-REI.4b Explain when quadratic equations will have non-real solutions and express complex solutions as 𝑎 ± 𝑏𝑖 for real numbers 𝑎 and 𝑏.
What’s Included
- One editable 16:9 PowerPoint with 35 slides and teacher speaker notes on every slide.
- Full standard and all its subparts, unpacking, essential question, learning goals, warm-up, vocabulary and teaching routine.
- Five worked models, guided practice, partner work, five scored independent items, small-group intervention and an open extension.
- Matched blank/completed guided notes, a three-item exit ticket and reflection.
- Editable mathematical diagrams, tables and graphs where relevant. Graphing calculator or spreadsheet activities are included where required by the standard.
Resource details
- Grade / course
- NC Math 2
- Subject and resource type
- Mathematics · PowerPoint Lesson
- Files
- 0 main PDF pages · 35 editable slides · PPTX
- Estimated completion time
- 45–60 minute lesson
- Answer key
- Teacher answer guidance is included in the speaker notes on every slide.
Standard or objective
NC.M2.A-REI.4 — Solve for all solutions of quadratic equations in one variable. NC.M2.A-REI.4a Understand that the quadratic formula is the generalization of solving 𝑎𝑥^(2) + 𝑏𝑥 + 𝑐 by using the process of completing the square. NC.M2.A-REI.4b Explain when quadratic equations will have non-real solutions and express complex solutions as 𝑎 ± 𝑏𝑖 for real numbers 𝑎 and 𝑏.
Solve for all solutions of quadratic equations in one variable. NC.M2.A-REI.4a Understand that the quadratic formula is the generalization of solving 𝑎𝑥^(2) + 𝑏𝑥 + 𝑐 by using the process of completing
Original Saint Pierre Learning Resources lesson aligned to the North Carolina Standard Course of Study for NC Math 2 Mathematics.
Learner directions
Students work through each slide as the teacher directs, completing practice and exit-ticket items.
Teaching suggestions
Project each slide in order. Follow the teacher models, then guide practice as labeled on each slide.