IEP goals for multiplication facts and multi-digit multiplication
By the IEP Atlas editorial teamLast updated
Short answer
A multiplication IEP goal targets one layer: the concept (arrays and equal groups), fact fluency, fact strategies or multi-digit procedures. Example: given a 2-minute probe of multiplication facts with factors 0 to 10, the student will write 25 digits correct per minute on 3 consecutive weekly probes, up from 10.
Multiplication goals fail most often when a team writes a fluency goal for a student who does not yet know what multiplication means. Drilling 6 times 7 with a student who cannot draw 6 groups of 7 builds a fragile memory that breaks under the next unit. The goals below follow the order that holds up: meaning, then strategies, then speed, then multi-digit work.
There are 12 goals, three for each layer. Each shows the condition, behavior, criterion, an illustrative baseline and a link to its template. The numbers are illustrations, not benchmarks. For the wider set of math goals, see the math IEP goals pillar.
Pick the layer before you write the goal
Give three short checks: draw 4 groups of 3 and write the equation, solve 10 facts untimed, then a 2-minute timed fact probe.
| What the checks show | Layer to target | Measure |
|---|---|---|
| Cannot model 4 groups of 3 or links it to addition only | Concept: arrays and equal groups | Items correct out of 10 |
| Models well, fewer than 9 of 10 untimed facts correct | Strategies for unknown facts | Opportunities out of 10 |
| 9 of 10 or more correct untimed, slow on the timed probe | Fluency | Digits correct per minute |
| Facts fluent, multi-digit answers wrong | Multi-digit procedure | Problems correct out of 10 |
The rule of thumb many interventionists use: accuracy before speed. Timing a student who is still guessing only rehearses guesses.
Goals for multiplication concepts
- Arrays and equal groups: Given 10 multiplication facts, the student will build or draw an array or equal groups and write the matching equation for 9 of 10. Baseline: 3 of 10. Template
- Skip counting to multiply: Given 10 facts with factors 2, 5 and 10, the student will find each product by skip counting for 9 of 10 on 2 consecutive probes. Baseline: 4 of 10. Template
- Commutative property and fact families: Given 10 arrays, the student will write the 2 multiplication and 2 division facts for each for 8 of 10. Baseline: 2 of 10. Template
Weak: "The student will understand multiplication." Measurable: the arrays goal, which says what the student builds and writes and how many items count.
Goals for multiplication fact fluency
- Timed written probe: Given a 2-minute probe of mixed facts with factors 0 to 10, the student will write 25 digits correct per minute on 3 consecutive weekly probes. Baseline: 10. Template
- Oral recall: Given 20 multiplication fact cards shown one at a time, the student will say each product within 3 seconds for 18 of 20 on 3 sessions. Baseline: 8 of 20. Template
- Strategy family probes: Given a 1-minute probe from one taught family (for example, 2s, 4s and 8s), the student will write 30 digits correct per minute before the next family is added. Baseline: 11. Template
Weak: "The student will memorize times tables." Measurable: the timed probe goal, which names the facts, the probe length and the digits correct per minute target. The math fact fluency IEP goals page covers addition, subtraction and division facts too.
Goals for multiplication fact strategies
Strategies turn 100 separate facts into a handful of patterns. Federal guidance on elementary math intervention recommends building fluency on a base of understanding, including strategies that connect new facts to known ones.[1]
- Breaking apart (distributive property): Given 10 hard facts such as 6 times 8, the student will break each into known facts (6 times 5 plus 6 times 3) and solve for 8 of 10. Baseline: 1 of 10. Template
- Doubling for 4s and 8s: Given 10 facts with 4 or 8 as a factor, the student will double a 2s fact (or double twice) and solve for 9 of 10 opportunities. Baseline: 3 of 10. Template
- Nines with a tens strategy: Given 10 facts with 9 as a factor, the student will multiply by 10 and subtract one group to solve 9 of 10 opportunities. Baseline: 2 of 10. Template
Weak: "The student will use multiplication strategies." Measurable: the nines goal, which names the strategy and the fact set.
| Strategy family | Facts covered | Built from |
|---|---|---|
| 0s, 1s, 10s | 0 times n, 1 times n, 10 times n | Rules |
| 2s and 5s | Doubles, half of 10s | Skip counting |
| 4s and 8s | Double the 2s, double again | Doubling |
| 9s | 10 times n minus n | Tens |
| 3s and 6s | 2s plus one group; double the 3s | Breaking apart |
| 7s | Remaining facts (7 times 7, 7 times 8) | Breaking apart, last |
Goals for multi-digit multiplication
- Multi-digit by one digit: Given 10 three- and four-digit by one-digit problems in columns, the student will regroup correctly and write the product for 9 of 10 on 3 of 4 probes. Baseline: 4 of 10. Template
- Two-digit by two-digit: Given 8 two-digit by two-digit problems, the student will show partial products and write the correct product for 6 of 8. Baseline: 2 of 8. Template
- Area model: Given 10 two-digit by one- or two-digit problems and a blank area model, the student will decompose, fill in each section and add for 8 of 10. Baseline: 2 of 10. Template
Weak: "The student will multiply multi-digit numbers." Measurable: the two-digit by two-digit goal, which names the problem size and asks for the work. If facts are still slow, allow a multiplication chart so the goal measures the procedure.
How to measure multiplication goals
Fluency goals use rate per minute: count correct digits on a 2-minute probe and divide by 2. Use 4 to 6 alternate forms with the same facts in different orders. Give the probe once or twice a week. Brief probes graphed over time are how a team decides whether the intervention is working.[2] The how to measure math fact fluency page has the full scoring rules.
Sample data for the strategy family goal (1-minute probe, 2s, 4s and 8s), recorded on a frequency data sheet:
| Week | Digits correct | Errors | DCPM | Family status |
|---|---|---|---|---|
| 1 | 11 | 3 | 11 | Baseline |
| 2 | 15 | 2 | 15 | Doubling taught |
| 3 | 21 | 1 | 21 | |
| 4 | 26 | 1 | 26 | |
| 5 | 31 | 0 | 31 | Criterion met; add 9s |
| 6 | 19 | 3 | 19 | New family, expected dip |
The dip in week 6 is expected: a new family went into the probe. Graph each family as its own phase so the drop does not read as a loss.
| Goal type | Method | Data sheet | How often |
|---|---|---|---|
| Timed facts, family probes | Rate per minute | Frequency data sheet | 1 to 2 times a week |
| Concepts, multi-digit | Percent accuracy | Accuracy data sheet | Weekly |
| Strategy use | Opportunities | Opportunity data sheet | 2 times a week |
Short-term objectives for multiplication goals
For the timed probe goal:
- By the first report, the student will write 30 digits correct per minute on a 1-minute probe of 0s, 1s, 2s, 5s and 10s.
- By the second report, the student will write 30 digits correct per minute on a 1-minute probe adding 4s, 8s and 9s.
- By the annual review, the student will write 25 digits correct per minute on a 2-minute probe of all facts 0 to 10.
Adapting multiplication goals by grade band
| Grade band | Typical target | Supports | Example criterion |
|---|---|---|---|
| Grade 3 | Arrays, skip counting, 2s, 5s, 10s | Counters, grid paper | 9 of 10 items |
| Grade 4 | All facts, area model, multi-digit by one digit | Strategy cards | 25 digits correct per minute |
| Grades 5 to 6 | Two-digit by two-digit | Multiplication chart for procedure goals | 6 of 8 problems |
| Middle and high school | Facts for job and money tasks | Calculator for multi-step work | 18 of 20 within 3 seconds |
The full set of 55 templates is on the multiplication and division goals page, and the math facts goal hub gathers fact templates across operations. For division, see long division IEP goals. Run each draft through the goal checker.
Frequently asked questions
In what order should multiplication facts be taught?
Many teachers use strategy families: 0s, 1s and 10s first, then 2s and 5s, then 4s and 8s by doubling, then 9s, then 3s and 6s, and the remaining 7s last. Each family builds on facts the student already knows.
What is a good multiplication fluency target?
Set it from the baseline. A common approach is to measure the median of 3 probes, then set a target the student can reach with steady weekly growth. Compare the student's rate to their own past rates, not to a single classroom number.
Should a student with slow facts still work on multi-digit multiplication?
Yes. Allow a multiplication chart in the multi-digit goal so it measures the procedure, and keep a separate fact goal. Waiting for full fact fluency can hold a student back from grade-level work for years.
Use it in IEP Atlas
- Multiplication and division goals (math)
- Math facts goal hub
- Math fact fluency in the IEP glossary
- Digits correct per minute in the IEP glossary
- Rate per minute measurement guide
- IEP goal checker
Related guides
- IEP goals for math: calculation, problem solving and functional math
- Math fact fluency IEP goals
- How to measure math fact fluency (digits correct per minute)
- Math fact fluency interventions that fit an IEP
- IEP goals for division and long division
Sources
- Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades, What Works Clearinghouse, Institute of Education Sciences
- Progress Monitoring: Data & Goal Setting, National Center on Intensive Intervention
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.