What multiplication & division involves
- Representing multiplication with arrays and equal groups
- Recalling multiplication and related division facts
- Multiplying multi-digit numbers with written work
- Following the steps of long division, including remainders
- Using a calculator accurately when that is the agreed tool
Baseline and measurement considerations
- Fact goals fit rate measures on short timed probes; keep the fact set and timing constant.
- Concept goals with manipulatives suit opportunity data, scored when the model matches both factors.
- Long division is a good fit for a task-analysis checklist matched to the taught method.
- For multi-digit work, separate fact errors from procedural errors when scoring.
Progress-monitoring methods used in these templates
- Curriculum-based measurement: Brief, standardized probes given at regular intervals and scored the same way each time.
- Timed probes: A fixed-length timing (for example, 1 or 2 minutes) used to calculate a per-minute rate.
- Opportunity (trial) recording: Each planned or naturally occurring opportunity is recorded as correct/independent, prompted, or not demonstrated.
- Work-sample analysis: Scoring completed student work (permanent products) against a defined answer key or checklist.
- Task-analysis checklist: A routine is broken into ordered steps; each step is recorded as independent, supported, or not completed.
Matching data sheets
Each template links to a blank sheet built for its measure. You can also download these sheets on their own:
- Frequency & rate tracker: Counts a defined behavior during a fixed observation period. Calculates rate when time is recorded.
- Opportunity tracker: Records each opportunity as independent, prompted, or not demonstrated.
- Accuracy tracker: Number correct out of number attempted, with percent accuracy and support level.
- Task-analysis checklist: Marks each step of a routine as independent, with support, or not completed across sessions.
Common mistakes when writing multiplication & division goals
- Writing a fact-fluency goal when the student cannot yet model what multiplication means.
- Using a long division checklist that does not match the method taught in class.
- Counting fact errors as procedure errors, which hides progress in the algorithm.
- Treating calculator use as "lowering the bar" rather than as a deliberate team decision documented in the IEP.
Frequently asked questions
Should I wait for fact mastery before teaching multi-digit multiplication?
Not necessarily. Many teams allow a multiplication chart so the student can work on the procedure while facts are built in a separate goal. State the chart as a support so the data are interpreted correctly.
Is a calculator goal appropriate?
It can be when the team decides calculator access is the best path for the student, based on present levels and broader goals. List the calculator in accommodations too, and check state rules for its use on assessments.
How do I measure long division progress?
A task-analysis checklist records which steps the student completes independently, which shows where the procedure breaks down. Pair it with an accuracy measure if the final answer also needs tracking.
Do I need short-term objectives for a math goal?
Federal rules require benchmarks or short-term objectives for students who take alternate assessments aligned to alternate academic achievement standards (34 CFR §300.320(a)(2)(ii)). Some states and districts require them for more students, so check local policy. Where they are used, a skill progression (for example, easier number ranges first) is a practical way to write them.
References
- Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades — What Works Clearinghouse, Institute of Education Sciences
- Assisting Students Struggling with Mathematics: RtI for Elementary and Middle Schools — What Works Clearinghouse, Institute of Education Sciences
- Progress Monitoring: Data & Goal Setting — National Center on Intensive Intervention
IEP Atlas is a drafting aid. Every goal is a starting point that needs to be individualized from assessment data and reviewed by the IEP team. It does not determine compliance or appropriateness for any student.