How this resource helps
Translate a context into a one-variable rational equation with units and domain restrictions. Solve rational equations using operations valid on the original restricted domain. Check candidates in the original equation and distinguish undefined candidates from contextually invalid values. Explain how clearing denominators or canceling factors can hide exclusions and produce extraneous candidates. The suggested 3-session pathway covers: Model quantities and restrict the domain; Solve and check original equations; Explain exclusions 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 a defined variable, rational equation, original exclusions, justified clearing step, candidate solutions, original-equation checks and a contextual conclusion with units. Preserve separate reasons for algebraic exclusion and contextual rejection. A correct number without these checks is incomplete evidence. 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 — Reasoning with Equations and Inequalities · 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.A-REI.2 — Solve and interpret one variable rational equations arising from a context, and explain how extraneous solutions may be produced.