Long multiplication (age 10+)
Fluently multiply multi-digit whole numbers (up to 4 digits by 2 digits) using the formal written method of long multiplication
Share and support
Teaching Table
Set out your lesson
Multiply a four-digit whole number by a two-digit whole number. Label, align and add the two partial products.
Ask for 36 × 4 (144) with a carry explained, and 36 × 20 (720) with the tens explained. If single-digit multiplication or place value is unclear, revisit the named multiplication prerequisite. Speed is not a target.
Check readiness directly. Prerequisite availability is not attainment.
Use these linked lessons over several short sessions. Start with the readiness check; if it is not secure, revisit the named prerequisites rather than treating source availability as learner readiness. Use Show, Guided, then Try. Read the active sheet on screen and answer on plain paper or by typing. No printer, cutting, purchase or internet is needed. The adult may read the exact prompt. Record any hints, scribing or calculation help. Oral explanations do not show independent reading or handwriting. Use extra space and time as needed; pause or split the lesson. Keep this adult guide and all keys private. Share only the active learner sheet. Before Try, put Show, Guided work and notes aside. Keep the Try givens available, including a unit table if supplied. Give no answer or target step during the first attempt. If help is needed, give it and mark the attempt supported. Review keys after the attempt. Record the actual response and help; do not invent success or infer mastery from one attempt. These are fictional paper or oral mathematics tasks. No personal information, public sharing, purchase, real transaction, physical experiment or real measurement is required.
Record the actual response and assistance. These tasks do not establish mastery.
Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view. Retain an earlier model only when the current step supplies it as context.
Teaching limits and safe use
These are finite task opportunities, not proof of mastery. Record what was attempted and what support was used.
Two modeled products and one fresh product in each practice stage. This does not establish fluency or freedom from errors on all four-by-two-digit products. Accept an equivalent written layout if both partial products and their place values are clear.
Record the actual response and assistance. These tasks do not establish mastery.
Compare teaching approaches
Teaching approaches
Gakuva’s recommended starting approach is selected. You can still compare every option.
1 approach
Multiply a four-digit whole number by a two-digit whole number. Label, align and add the two partial products.
Multiply a four-digit whole number by a two-digit whole number. Label, align and add the two partial products.
Family records and proof options
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Learning resources
External links for extra practice. They do not replace Gakuva’s teaching approach.
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The teaching approach appears above.
Check understanding
- Correctly compute 2,463 × 37 using long multiplication
- Explain each partial product in a long multiplication and why they are added
- Multiply a four-digit number by a two-digit number without procedural errors
“Can your child use long multiplication to work out something like '2,347 × 24' — setting it out in two rows, one for the units and one for the tens, then adding the results?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Multiplication & Division
- Age range
- Ages 10–11