How this resource helps
Prove and apply parallel-line proportional division and its converse, then use right-triangle altitude similarity to establish the Pythagorean Theorem without circular reasoning. Track corresponding sides, part-to-whole ratios, projections, hypotheses and units in varied figures. Warm-ups, teacher modeling, guided practice, collaborative practice, independent work, small-group reteaching and exit tasks support deliberate task selection. A suggested three-session pathway organizes the reusable 60-task bank; completing all 60 in three days is not required. This course-based high-school packet is not restricted to a single grade. Customer ZIP contains the approved PDF only. No editable Word file is included. All 148 pages are available in the preview.
What’s Included
- 148-page printable PDF
- 30 multiple-choice tasks with explanations and distractor checks
- 30 open-response tasks with worked solutions
- Suggested three-session learning-target pathway
- Seven instructional sections with teaching scripts
- Worked similarity-based proof model and triangle reasoning organizer
- Original diagrams and student workspaces
- 20 labeled continuation pages for extended reasoning; not additional tasks
- Scoring guidance and learner record
- Source alignment and attribution
Resource details
- Grade / course
- NC Math 2
- Subject and resource type
- Mathematics · Worksheet packet
- Files
- 148 main PDF pages · PDF + ZIP
- Estimated completion time
- Suggested three-session pathway; flexible task selection across additional meetings.
- Answer key
- Worked teacher keys included. Multiple-choice keys explain every option; open-response keys identify reasoning and evidence to assess. Collect independent responses before revealing answers.
Standard or objective
NC.M2.G-SRT.4 — Use similarity to solve problems and prove theorems about triangles, including proportional division by a parallel line and its converse, and the Pythagorean Theorem. Use triangle theorems to prove relationships in geometric figures. Course-based high-school standard; not assigned to a single grade.