How this resource helps
Equal legs and Pythagoras give the 45°–45°–90° ratio1:1:√2. Congruent halves of an equilateral triangle and Pythagoras give the 30°–60°–90° ratio1:√3:2. Positive scaling preserves each angle pattern, so exact side relationships work in any size or orientation when side roles are identified correctly. Standard NC.M2.G-SRT.12: Develop properties of special right triangles (45-45-90 and 30-60-90) and use them to solve problems.
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.G-SRT.12 — Develop properties of special right triangles (45-45-90 and 30-60-90) and use them to solve problems.
Develop properties of special right triangles (45-45-90 and 30-60-90) and use them to solve problems.
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.