How this resource helps
Construct and measure right triangles, identify opposite, adjacent and hypotenuse relative to an acute angle, and compare side ratios across size and orientation. Develop sine, cosine and tangent from the observed patterns and justify invariance through similarity. Distinguish actual observations from ideal teacher predictions, and audit units, precision, rounding and valid hypotheses. Warm-ups, modeling, guided and collaborative practice, independent tasks, reteaching and exits support deliberate selection from the reusable 60-task bank. The suggested three-session pathway does not require all tasks in three meetings. This course-based high-school packet is not limited to a single grade. Customer ZIP contains the approved PDF only, with no editable Word file. All 157 pages are available in the preview.
What’s Included
- 157-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 investigation model, ratio organizer and measurement records
- Original diagrams and student workspaces
- 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
- 157 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.6 — Verify experimentally that side ratios in similar right triangles depend on their angle measures, and use this discovery to develop trigonometric ratios for acute angles. Course-based high-school standard; not assigned to a single grade.