How this resource helps
Find and represent inverse relationships for linear, quadratic/square-root and exponential/logarithmic functions. Determine inverse-function existence from tables, graphs and equations, with explicit domain restrictions. Use inverse equations, tables and graphs to solve contextual problems with valid domains and units. The suggested 3-session pathway covers: Reverse a function and test existence; Choose branches and connect inverse families; Solve contextual inverse problems. 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 a one-to-one justification, reversed pairs or algebra, exchanged domain/range and a composition or numerical round-trip. Contextual answers must name the reversed input/output units. 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.4 — Find an inverse function. a. Understand the inverse relationship between exponential and logarithmic, quadratic and square root, and linear to linear functions and use this relationship to solve problems using tables, graphs, and equations. b. Determine if an inverse function exists by analyzing tables, graphs, and equations. c. If an inverse function exists for a linear, quadratic and/or exponential function, f, represent the inverse function, f⁻¹, with a table, graph, or equation and use it to solve problems in terms of a context.