How this resource helps
Build polynomial functions from stated model forms, real zeros, graph features or table data, and verify all conditions. Construct exponential and shifted-exponential models using initial values, multiplicative factors and data. Combine functions with arithmetic operations to model contextual totals, differences, products and quotients. Check model assumptions, consistency, units and domains, and distinguish a fit from a uniquely justified model. The suggested 3-session pathway covers: Construct from features and data; Exponential models and arithmetic combinations; Validate, 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 source information, a parameter or operation argument, the constructed formula, a check of every stated condition and an appropriate domain with units. A convenient curve through a few points is not automatically a uniquely determined law. Record unsupported model assumptions separately from arithmetic mistakes. 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 — Building 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-BF.1 — Write a function that describes a relationship between two quantities. a. Build polynomial and exponential functions with real solution(s) given a graph, a description of a relationship, or ordered pairs (include reading these from a table). b. Build a new function, in terms of a context, by combining standard function types using arithmetic operations.