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NC Math 2 (high school course; not a grade-specific standard) · Mathematics — quadratic function features

Completing the Square to Reveal Quadratic Features | NC Math 2

A 123-page NC Math 2 packet for NC.M2.F-IF.8. Develop completing the square to reveal quadratic zeros, extrema and symmetry across expressions, graphs, tables and contexts. Includes 30 multiple-choice questions, 30 open-response tasks, daily targets, teacher guidance and worked keys. PDF-only ZIP; not a PowerPoint or editable Word file.

Required materials: Pencil, paper, straightedge, graph paper and printed tasks. Optional calculator for a final decimal check; exact expressions and explanations are the primary evidence. No textbook or paid software required.

Formats
PDF + ZIP · 123 main pages
Lesson time
Suggested three-session pathway; flexible task selection across additional meetings.
Includes
Teacher guidance + answer guidance

$7.99 USD

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One-time purchase · Single-teacher license
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Full 123-page SAMPLE-watermarked preview of the student and teacher PDF, including all questions and worked teacher keys. The purchased PDF is not watermarked.

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How this resource helps

Develop equivalent completed-square expressions, including nonunit and negative leading coefficients, while justifying each compensation. Students identify real zeros, extreme values and symmetry; connect formulas to quadratic graphs and tables; and interpret results using contextual domains and units. The suggested three-session pathway develops and verifies the square, reveals features across representations, and interprets or critiques contextual solutions. Seven instructional sections move from warm-up and modeling through guided, collaborative and independent practice to small-group reteach and exit tasks. Select a few tasks at a time; the reusable 60-task bank is not intended to be completed in full in three sessions. Worked teacher keys, original mathematical visuals and generous student workspaces support explanation rather than speed. Check whether a contextual vertex or root is allowed before interpreting it. This packet focuses on NC.M2.F-IF.8 and is distinct from the separate NC.M2.A-SSE.3 packet. 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 three-session pathway
  • Worked examples, mathematical visuals and response organizers
  • Teacher guidance, modeling, practice, reteach and exit tasks
  • Full 123-page SAMPLE preview

Resource details

Grade / course
NC Math 2 (high school course; not a grade-specific standard)
Subject and resource type
Mathematics — quadratic function features · Detailed standard-aligned student and teacher packet
Files
123 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.F-IF.8 — Use equivalent expressions to reveal and explain different properties of a function by developing and using the process of completing the square to identify the zeros, extreme values, and symmetry in graphs and tables representing quadratic functions, and interpret these 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.M2.F-IF.8 · completing the square · quadratic features · zeros · extrema · symmetry · graphs and tables