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

Analyzing Functions Across Representations | NC Math 3

A 124-page NC Math 3 packet for NC.M3.F-IF.7: analyzing functions across representations. 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: Pencil, graph paper, straightedge and a graphing calculator or graphing software for the two technology investigations. A browser or installed graphing tool is sufficient; no particular paid product is required. Use hand sketches for the simpler cases.

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.

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How this resource helps

Connect rules, tables and graphs to domain, range and intercepts for the standard’s function families. Analyze signs, increasing and decreasing intervals, average rates of change and relative extrema. Explain symmetry, end behavior, period and discontinuities without losing domain restrictions. Use technology for complicated cases, record settings and estimates, and verify graphical evidence algebraically. The suggested 3-session pathway covers: Read and sketch simple families; Track changes and special features; Technology, critique and transfer. 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 requested features with interval endpoints, a justified graph or table connection, and distinctions among an intercept, an extremum and a discontinuity. For technology, retain input expression, angle mode, graph window, refined estimates and an independent algebraic or table check. Do not treat a missed feature in one window as proof it does not exist. 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 — Interpreting 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-IF.7 — Analyze piecewise, absolute value, polynomials, exponential, rational, and trigonometric functions (sine and cosine) using different representations to show key features of the graph, by hand in simple cases and using technology for more complicated cases, including: domain and range; intercepts; intervals where the function is increasing, decreasing, positive, or negative; rate of change; relative maximums and minimums; symmetries; end behavior; period; and discontinuities.

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-IF.7 · function analysis · graph features · domain and range · graphing technology