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NC Math 3 (high school course; not a grade-specific standard) · Mathematics — Reasoning with Equations and Inequalities

Where Functions Agree: Intersections and Approximate Solutions | NC Math 3

A 123-page NC Math 3 packet for NC.M3.A-REI.11: where functions agree: intersections and approximate solutions. 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 printed tasks. A graphing calculator or graphing application may be used; each technology task includes a reproducible table alternative. Keep unrounded values for checking.

Formats
PDF + ZIP · 123 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 123-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

Justify why shared graph points give solution inputs, and distinguish x-coordinates from common outputs. Approximate solutions with successive tables, valid brackets and precision-supported rounding. Use and document a reproducible graphing-technology or equivalent table workflow, then verify estimates. Evaluate domain restrictions, tangencies, multiple roots, discontinuities and limits of finite graph/table evidence. The suggested 3-session pathway covers: Interpret intersection coordinates; Refine and document approximations; Critique evidence 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. Look for shared-input/shared-output reasoning, preserved original equations, a justified search interval, correctly evaluated differences and a precision check. Note missing evidence separately from an incorrect calculation. Download contains one 123-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

  • 123-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 123-page SAMPLE preview

Resource details

Grade / course
NC Math 3 (high school course; not a grade-specific standard)
Subject and resource type
Mathematics — Reasoning with Equations and Inequalities · Detailed standard-aligned student and teacher packet
Files
123 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.A-REI.11 — Extend an understanding that the x-coordinates of the points where the graphs of two equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x) and approximate solutions using a graphing technology or successive approximations with a table of values.

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.A-REI.11 · function intersections · approximate solutions · graphing technology · successive approximations · tables of values