Math Problem-Solving Frame: A Structured SDI Routine for Word Problems
Grades 3–5 · Cross-Content SDI · NYS 8 NYCRR 200 / IDEA 2004 · SDI Planning Frame
Teacher Note: This is a reusable instructional routine (SDI methodology) for students whose IEPs identify needs in math problem-solving, working memory, or self-monitoring. It keeps students in grade-level math while structuring HOW they approach the problem.
Regulatory Foundation
8 NYCRR 200.4(d)(3) — SDI adapts methodology/delivery for access. 8 NYCRR 200.1(ww) — Supports include metacognitive and self-monitoring instruction.
The “U-P-S-✓” Problem-Solving Frame
A consistent four-step routine students internalize over time:
| Step | Prompt | What the student does |
|---|---|---|
| U — Understand | ”What is the problem asking?” | Restate the question; underline the question sentence |
| P — Plan | ”What operation and steps will I use?” | Identify known/unknown; choose a strategy (draw, model, equation) |
| S — Solve | ”Show my work step by step.” | Carry out the plan; label units |
| ✓ — Check | ”Does my answer make sense?” | Estimate; reread the question; check the label |
Student Frame (reusable)
Problem: ____________________________________________________________
U — What is it asking? ________________________________________________ P — My plan / strategy: _______________________________________________ S — My work:
(work space)
✓ — My answer + does it make sense? ___________________________________
SDI & Differentiation Block
Supports for MLLs/ELLs
Entering/Emerging (NYSESLAT Levels 1–2):
- Pre-teach math operation vocabulary with visuals (sum, difference, total, each)
- Provide a worked model in the same structure
- Allow drawing/modeling as the “Plan” step
Transitioning/Expanding (NYSESLAT Levels 3–4):
- Word bank of signal words (“in all” → add; “left” → subtract)
- Sentence frame: “The problem is asking ___. I will ___.”
Supports for Students with IEPs
SDI Adaptation Dimensions: content, methodology, delivery
- Content: Reduce numbers/steps while keeping the grade-level concept; provide a partially completed frame
- Methodology: Consistent U-P-S-✓ routine builds independence; think-aloud modeling first
- Delivery: Read problems aloud; allow manipulatives, number lines, or a calculator per IEP; extended time
Data: Track which step breaks down most often to target instruction and document IEP progress.
Suggested Placement: General Education, ICT, Resource Room, Self-Contained
Alignment Record
| Field | Value |
|---|---|
| Regulatory Codes | 8 NYCRR 200.4(d)(3); 8 NYCRR 200.1(ww) |
| Framework | NYS Special Education Regulations / IDEA 2004 |
| Source | nysed.gov — NYS Office of Special Education; 34 CFR Part 300 |
| Confidence | High Confidence |
| Validation Notes | Structured, metacognitive problem-solving routines are an evidence-based SDI methodology for students with math-related disabilities. Regulatory citations confirmed. Frame is teacher-reference SDI material, not a legal IEP document. |