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Compare fractions with <, >, and =

Unreviewed draft3-5, 6-8Percent accuracy
Student reference

Use a generic label rather than a student's name. Review goals within your school's approved IEP system.

Current baseline

Sample numbers are illustrative. Set the baseline and target from the student's own assessment data and team judgment.

Condition

Setting, materials, or situation, such as a passage level or a work period.

Observable behavior

Something an adult can see, count, or time. Avoid “understand,” “improve,” or “know.”

Level of support

Say exactly what support counts, such as “with one verbal prompt.” Leave “independently” if none.

Criterion

Percent of attempted items answered correctly.

Measurement method

Scoring completed student work (permanent products) against a defined answer key or checklist.

Mastery rule
Timeframe and monitoring

You can type a date, such as “By May 15, 2027”.

Match the schedule to the skill. Fluency often uses weekly probes. Writing rubrics may be scored every few weeks.

Live goal preview

By the annual IEP review date, given 10 pairs of fractions with unlike numerators and unlike denominators (denominators 2, 3, 4, 5, 6, 8, 10, and 12), the student will write <, >, or = between each pair of fractions independently with at least 90% accuracy on fraction comparisons, on 3 of 4 consecutive probes, as measured by work-sample analysis collected every two weeks.

Baseline: 50% accuracy.

  • Condition
  • Observable behavior
  • Criterion
  • Measurement method
Add objectivesMatching data sheet

Measurability check10 of 10 met

All structural checks are met.

  • Met: Observable behavior. The behavior is stated as an action.

  • Met: Condition. The goal states when or under what conditions the behavior occurs.

  • Met: Unit fits the behavior. Percent accuracy is a reasonable way to quantify this behavior.

  • Met: Explicit criterion. The success criterion is stated with a number and unit.

  • Met: Mastery rule and schedule. Mastery rule and collection schedule are stated.

  • Met: Method produces the metric. Work-sample analysis can produce percent accuracy data.

  • Met: Review timeframe. The goal includes a timeframe.

  • Met: Baseline and target compatible. Baseline and target use the same unit and show change in the intended direction.

  • Met: Aligned with area of need. The wording still relates to Fractions.

  • Met: Level of support. The level of support is defined.

What this checks: the goal's structure and wording, using fixed rules: observable behavior, condition, criterion, method, mastery rule, timeframe, baseline/target consistency, and support. It can't judge whether the goal is appropriate, ambitious enough, or legally sufficient for a particular student. That requires assessment data and the IEP team.

About this template
Level guidance
Fits students who compare fractions by looking only at the denominator or only at the numerator. Use present-level work samples, not grade, to choose the denominators.
Baseline considerations
Because chance alone gives about 50% on two-choice comparisons, use enough items and look at error patterns, such as choosing the fraction with the larger denominator. Include some equal pairs so = is a real option.
Usage notes
Pair with ma-fr-006 if the team also wants the student to justify comparisons. A high chance-level baseline means growth targets should be set carefully.
Known limitations
Guessing inflates accuracy on comparison items. Correct symbols do not show which strategy was used.
Source
Original IEP Atlas draft (AI-assisted) based on general measurement principles; not copied from any goal bank. Template ID ma-fr-003.

Short-term objectives (optional)

When are objectives required?

Federal IDEA regulations require benchmarks or short-term objectives only for students who take alternate assessments aligned to alternate academic achievement standards (34 CFR §300.320(a)(2)(ii)). Your state or district may require them more broadly.

Build objectives by

Matching data sheet

Accuracy tracker. Your goal is scored as percent correct, so the sheet records number correct and number attempted.

Accuracy tracker

Percent accuracy
Student label:
 
Target:
with at least 90% accuracy on fraction comparisons
Mastery rule:
on 3 of 4 consecutive probes
Collection schedule:
every two weeks
Method:
Work-sample analysis
Data collector:
 

Goal: By the annual IEP review date, given 10 pairs of fractions with unlike numerators and unlike denominators (denominators 2, 3, 4, 5, 6, 8, 10, and 12), the student will write <, >, or = between each pair of fractions independently with at least 90% accuracy on fraction comparisons, on 3 of 4 consecutive probes, as measured by work-sample analysis collected every two weeks.

Accuracy tracker
DateTask / materials# correct# attempted% accuracycorrect ÷ attempted × 100Support levele.g., independent, 1 verbal promptNotes

Preview shows 4 of 12 rows.

  • Score only items the student attempted unless the goal defines a fixed set of items. Use the same denominator every session.
  • Percent = numerator ÷ denominator × 100. Round to one decimal place.
  • Record the support actually provided, even if the goal is independent performance.

The CSV opens in Excel or Google Sheets with formulas for the calculated columns. Sheets are blank: IEP Atlas doesn't store student data.

Preview
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