How this resource helps
Transform outputs in tables and graphs using kf(x) and f(x)+k, including negative factors. Translate graph inputs for f(x+k), justify the direction and track domains. Use the reciprocal input factor for f(kx), including negative reflection and positive or negative fractional factors. Infer, compare and verify transformations with coordinate evidence while preserving table/model limitations. The suggested 4-session pathway covers: Outside operations change outputs; Inside addition relabels inputs; Inside multiplication uses reciprocal scale; Infer and verify the full transformation. 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 an original point, the equation that produces its old input or transforms its output, and a corresponding new point. Ask the learner to verify at least one result by direct substitution. Distinguish horizontal factor 1/|k| from the inside multiplier |k|; name the correct reflection axis for negative factors. Download contains one 130-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
- 130-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 4-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 130-page SAMPLE preview
Resource details
- Grade / course
- NC Math 3 (high school course; not a grade-specific standard)
- Subject and resource type
- Mathematics — Building Functions · Detailed standard-aligned student and teacher packet
- Files
- 130 main PDF pages · PDF + ZIP
- Estimated completion time
- Suggested 4-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-BF.3 — Extend an understanding of the effects on the graphical and tabular representations of a function when replacing f(x) with k ∙f(x), f(x) + k, f(x + k) to include f(k ∙ x) for specific values of k (both positive and negative).