How this resource helps
Interpret sine as y and cosine as x for a radian-angle terminal point on the unit circle. Connect unit-circle motion to sine/cosine tables, graphs, signs, periodicity and coordinate bounds. Use reproducible radian-mode technology to represent and check sine and cosine, interpreting numerical results geometrically. The suggested 3-session pathway covers: Radian angles select coordinates; Unwrap the circle into graphs; Represent and verify with technology. Seven instructional sections move from warm-up and modeling through guided, collaborative and independent practice to small-group reteach and exit tasks. Select tasks based on student evidence; the reusable 60-task bank is not intended to be assigned in full within the suggested sessions. Require an angle-to-terminal-point connection, correct coordinate selection and a table/graph/calculation check. Technology work must record mode, input, window or cell formulas and interpret the results using the circle. Download contains one 124-page PDF in a ZIP. No editable Word or PowerPoint files are included. Course-aligned, not an invented grade-specific standard. Review the full SAMPLE-watermarked preview before purchasing.
What’s Included
- 124-page student and teacher PDF
- 30 multiple-choice questions with option explanations
- 30 open-response tasks with worked teacher keys
- Daily learning targets and suggested 3-session pathway
- Worked models, response organizers and student workspaces
- Seven instructional sections: warm-up, modeling, guided practice, collaborative practice, independent practice, small-group reteach and exit tasks
- Full 124-page SAMPLE preview
Resource details
- Grade / course
- NC Math 3 (high school course; not a grade-specific standard)
- Subject and resource type
- Mathematics — Trigonometric Functions · Detailed standard-aligned student and teacher packet
- Files
- 124 main PDF pages · PDF + ZIP
- Estimated completion time
- Suggested 3-session pathway with flexible task selection and additional meetings as needed. The 60-task bank is not intended to be completed in full in these sessions.
- 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.M3.F-TF.2 — Build an understanding of trigonometric functions by using tables, graphs and technology to represent the cosine and sine functions. a. Interpret the sine function as the relationship between the radian measure of an angle formed by the horizontal axis and a terminal ray on the unit circle and its y coordinate. b. Interpret the cosine function as the relationship between the radian measure of an angle formed by the horizontal axis and a terminal ray on the unit circle and its x coordinate.