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NC Math 3 (high school course; not a grade-specific standard) · Mathematics — Trigonometric Functions

Investigating Sine Models and Periodic Phenomena | NC Math 3

A 124-page NC Math 3 packet for NC.M3.F-TF.5: investigating sine models and periodic phenomena. Includes 30 multiple-choice questions, 30 open-response tasks, daily targets, teacher guidance and worked keys. PDF-only ZIP; no editable Word or PowerPoint file.

Required materials: Graphing calculator or graphing software with a radians setting, parameter entry, table/trace and adjustable window; pencil and student pages. Technology is required for the investigation tasks. No paid platform is prescribed. Printed graphs support access but do not replace recording the required technology settings and observations.

Formats
PDF + ZIP · 124 main pages
Lesson 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.
Includes
Teacher guidance + answer guidance

$7.99 USD

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One-time purchase · Single-teacher license
Printable PDF. Account required for purchase and download.

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RESOURCE PREVIEW

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Full 124-page SAMPLE preview in page order. Paid download contains the clean student and teacher PDF, including all 30 multiple-choice questions, 30 open-response tasks and worked answer keys.

Sample 1 from Investigating Sine Models and Periodic Phenomena | NC Math 3
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How this resource helps

Determine amplitude, midline, range and period from sine parameters and graphs. Use reproducible technology investigations to isolate and explain effects of a, b and h. Build and interpret sine models of periodic phenomena using contextual units and timing. Check angle mode, graph windows, model limitations and exceptional cases. The suggested 3-session pathway covers: Parameters and radian-mode evidence; Periodic models in context; Validate technology and model limits. 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 the model or settings, angle unit, a numerical trace/table or labeled sketch, a parameter explanation and a contextual check. Separate a viewing-window error from a model error. Record first independent reasoning before supplying a worked key. 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.5 — Use technology to investigate the parameters, a, b, and h of a sine function, f(x) = a ∙ sin(b ∙ x) + h, to represent periodic phenomena and interpret key features in terms of a context.

Printing and preparation

Print on US Letter paper at actual size. Separate student practice and assessment from the teacher guide and key. Review the model and prepare needed support materials.

License

Single-teacher license. Print and use with your own students, including a password-protected classroom platform. Do not resell, redistribute, share with other educators, or post files publicly. Contact support for school or team licensing. Full store license applies. See the full license.

Search tags

NC.M3.F-TF.5 · sine models · periodic phenomena · amplitude and period · parameter investigations