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Math vocabulary IEP goals

By the IEP Atlas editorial teamLast updated

Short answer

A math vocabulary IEP goal names the word set, what the student does with each word (match, define, draw, use in an explanation) and a criterion out of a fixed number of words. Example: given 10 unit terms, the student will explain each with a drawing or example, scoring 9 of 10 on 3 consecutive biweekly probes. Twenty-four goals follow.

Math has its own language. Some words exist only in math (quotient, denominator, perimeter). Others mean something different in math than in everyday talk (table, volume, product, mean, odd). Students with language disorders, learning disabilities and students learning English often know how to compute but miss the question because one word blocked them.

Federal guidance on math intervention recommends teaching clear, concise mathematical language and supporting students in using it, not just hearing it.[1] The 24 goals below follow that advice, grouped by what the student does with the words. Each has a fictional baseline. Numbers are illustrations, not benchmarks. For other math areas, see the pillar guide on math IEP goals.

Decision table: from student profile to goal

What you seeSub-skill to targetMeasure
Cannot point to or name parts of a problem (sum, digit, denominator)Receptive term knowledgeWords correct out of a fixed set
Knows the word but cannot say what it meansDefining termsRubric points per definition
Picks the wrong operation from the storyOperation language in word problemsProblems with the correct operation
Mixes up symbols (<, >, ×, ÷, =)Symbols and notationItems correct
Computes correctly, cannot explain howUsing terms in explanationsRubric points; target words used
Misses what test items ask (evaluate, estimate, justify)Test direction wordsItems correct
Confuses everyday and math meaningsMultiple-meaning math wordsItems correct

For general vocabulary teaching, the explicit vocabulary instruction guide gives a routine that works for math terms too.

Knowing what math terms mean

  • 1. Match terms to examples. Baseline: 6 of 15 correct. Goal: Given 15 math terms from the current unit and a set of picture or number examples, the student will match each term to its example on 14 of 15 items on 3 consecutive biweekly probes.
  • 2. Explain with a drawing or example. Baseline: 3 of 10 terms explained. Goal: Given 10 unit terms, the student will explain each with a labeled drawing or a worked example, scoring 9 of 10 on 3 consecutive biweekly probes. Template: explain math terms with a drawing or example.
  • 3. Define by category and features. Baseline: 1 of 3 on the definition rubric. Goal: Given a geometry or measurement term, the student will define it by naming its category and 2 features (a rhombus is a quadrilateral with 4 equal sides and opposite sides parallel), scoring 3 of 3 on 4 of 5 terms per monthly probe. Template: define a word by category and features.
  • 4. Word map. Baseline: completed 2 of 5 boxes. Goal: Given a new unit term, the student will complete a word map with a definition in own words, an example, a non-example, a drawing and a sentence, on 5 of 5 boxes for 4 of 5 terms per unit. Template: complete a word map.

Weak: "Will learn math vocabulary." Measurable: goal 2. Name the set (unit terms), the task (explain with a drawing) and the count.

Operation words in word problems

  • 5. Match words to operations. Baseline: 7 of 16 correct. Goal: Given 16 phrases from word problems (in all, left, each, shared equally, times as many, difference), the student will name the operation each usually signals on 15 of 16 items on 3 consecutive probes. Template: match math words to operations.
  • 6. Read past the keyword. Baseline: 2 of 8 correct. Goal: Given 8 word problems where the keyword misleads (for example, "Ana has 5 more than Ben, who has 12"), the student will draw a model and choose the correct operation on 7 of 8 problems on 3 of 4 biweekly probes. Template: bar model for word problems.
  • 7. Restate the question. Baseline: restated 2 of 6 questions. Goal: Given 6 word problems, the student will underline the question and restate it in own words, including the unit of the answer, on 6 of 6 problems across 3 consecutive probes. Template: find and restate the question.
  • 8. Comparison language. Baseline: 3 of 10 correct. Goal: Given 10 comparison sentences (more than, fewer than, twice as many, half as much), the student will write a matching number sentence on 9 of 10 items on 3 of 4 biweekly probes.

Weak: "Will learn keywords for word problems." Measurable: goal 6. Keyword lists alone fail on problems like goal 6; understanding the relationship matters more. The schema-based instruction guide shows how.

Symbols and notation

  • 9. Read symbols aloud. Baseline: 9 of 20 correct. Goal: Given 20 expressions with +, −, ×, ÷, =, <, >, ≤ and ≥, the student will read each aloud using the correct math words on 19 of 20 items on 3 consecutive probes.
  • 10. Translate words to expressions. Baseline: 2 of 10 correct. Goal: Given 10 word phrases (5 less than a number, the product of 3 and n), the student will write the matching expression on 9 of 10 items on 3 of 4 biweekly probes. Template: translate word phrases into expressions.
  • 11. Abbreviations and units. Baseline: 5 of 12 correct. Goal: Given 12 common math abbreviations and unit symbols (cm, kg, mL, ft, in., °F, %), the student will name each and give an example of when it is used on 11 of 12 items on 3 consecutive probes. Template: read and explain abbreviations.
  • 12. Number words to numerals. Baseline: 11 of 20 correct. Goal: Given 20 number words up to one thousand, the student will write the matching numeral on 19 of 20 items on 3 consecutive probes. Template: match number words to numerals.

Weak: "Will know math symbols." Measurable: goal 9. List the symbols.

Using terms when explaining

  • 13. Explain the steps. Baseline: used 0 target terms when explaining. Goal: After solving a multi-step problem, the student will explain the steps aloud using at least 3 of the target terms listed for the unit, scoring at least 3 of 4 on an explanation rubric on 4 of 5 biweekly probes. Template: explain the steps used.
  • 14. Sentence frames to independent. Baseline: wrote explanations only with a full frame. Goal: Given a solved problem, the student will write a 2-sentence explanation using a target term (I know ... because ...), with no frame, on 4 of 5 problems on 3 of 4 monthly probes.
  • 15. Answer in a complete sentence. Baseline: 2 of 8 answers with units. Goal: Given 8 word problems, the student will write each answer in a complete sentence that names the unit on 7 of 8 problems on 3 consecutive probes. Template: answer in a complete sentence.
  • 16. Use terms in written work. Baseline: used 1 of 5 unit terms in a written response. Goal: In a written response to a unit question, the student will use at least 4 of 5 listed unit terms correctly on 3 of 4 monthly samples. Template: use course terms in written work.

Weak: "Will use math vocabulary when explaining." Measurable: goal 13. Count the target terms and score the explanation.

Test direction words

  • 17. Direction words. Baseline: 5 of 12 correct. Goal: Given 12 test items with direction words (evaluate, simplify, estimate, compare, justify, round), the student will state what each asks for and complete the item, with 11 of 12 correct on 3 consecutive probes. Template: explain what a test direction word asks.
  • 18. Estimate or exact. Baseline: 3 of 8 correct. Goal: Given 8 everyday situations, the student will say whether an estimate or an exact answer is needed and why, on 7 of 8 items on 3 of 4 biweekly probes. Template: estimate or exact answer.
  • 19. Multi-part items. Baseline: answered all parts on 1 of 5 items. Goal: Given 5 multi-part test items, the student will number each part of the question and answer every part on 5 of 5 items across 3 consecutive probes.
  • 20. Graph and table vocabulary. Baseline: 4 of 10 correct. Goal: Given a graph, the student will point to and name 10 features (title, x-axis, y-axis, scale, key, label, interval, data point, bar, line) on 9 of 10 items on 3 consecutive probes.

Weak: "Will follow directions on tests." Measurable: goal 17.

Multiple-meaning and confusable math words

  • 21. Everyday and math meanings. Baseline: 3 of 10 correct. Goal: Given 10 words with both everyday and math meanings (table, product, volume, mean, odd, plot, face, foot, right, power), the student will give the math meaning and use it in a sentence on 9 of 10 items on 3 of 4 biweekly probes.
  • 22. Confusable pairs. Baseline: 4 of 10 correct. Goal: Given 10 sentences with a confusable pair (area or perimeter, factor or multiple, numerator or denominator, mean or median), the student will choose the correct term on 9 of 10 items on 3 consecutive probes. Template: tell apart confused academic words.
  • 23. Word parts in math terms. Baseline: 2 of 8 correct. Goal: Given 8 math terms with common parts (tri-, quad-, poly-, -gon, cent-, kilo-, milli-), the student will use the word part to explain the meaning on 7 of 8 items on 3 of 4 biweekly probes. Template: define an academic word from its parts.
  • 24. Positional and ordinal words. Baseline: 6 of 12 correct. Goal: Given 12 spoken directions using positional and ordinal words (above, below, between, third, last), the student will place or point to the correct object on 11 of 12 items on 3 consecutive probes. Templates: positional words, ordinal words.

Weak: "Will understand math terms with multiple meanings." Measurable: goal 21. List the words.

The vocabulary goals page holds all 55 vocabulary templates, and morphology explains the word-part approach in goal 23.

How to measure progress

Pick a fixed word set for each grading period, usually 10 to 20 terms from the units being taught. Probe every two weeks with the same number of items. Score items correct on the accuracy data sheet, or use a short rubric for definitions and explanations on the rubric scoring sheet. See percent accuracy for when a percent is fair.

Check generalization once a month: does the student use the words in a real math lesson, not just on the probe? A tally of target terms used during one class discussion is enough. Paste adapted goals into the goal checker.

Adapting by grade

Grade bandWord sets that fitGoals on this page
Grades K to 2More, fewer, equal, positional and ordinal words, shapes1, 8, 12, 24
Grades 3 to 5Operation words, fraction terms, graph vocabulary2, 5, 6, 15, 20
Middle schoolExpression and equation language, test direction words9, 10, 17, 21, 22
High school and transitionCourse terms, units, abbreviations, word parts11, 16, 18, 23

Students who need vocabulary help across subjects may also benefit from the academic vocabulary guide. For graphing terms used in context, see data and graphing IEP goals.

Frequently asked questions

Is math vocabulary a reading goal or a math goal?

It can be written in either area. Place it where the need shows up most. If the student misses math items because of words, a math vocabulary goal measured on math tasks keeps it connected to the content.

Should I teach keywords for word problems?

Teach operation language, but not as a shortcut list. Keywords often point to the wrong operation, as in comparison problems. Pair the words with a model that shows the relationship in the problem.

How many math words should a goal cover?

A fixed set of 10 to 20 terms per grading period works for most students. Update the set as units change, and keep the number of probe items the same so scores can be compared.

Use it in IEP Atlas

Sources

  1. Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades, What Works Clearinghouse, Institute of Education Sciences

Written and checked by the IEP Atlas editorial team under our editorial policy. This guide describes general practice and federal rules. It is not legal advice; your state may add requirements, and the IEP team makes the decisions for each student.

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