Adding and subtracting (age 7+)
Add and subtract numbers with up to three digits using formal written methods of columnar addition and subtraction
Share and support
Teaching Table
Set out your lesson
Use aligned written columns, equal-value exchanges, and inverse checks.
Use the readiness card before Show. Record the actual response and any help. Pause for prerequisite teaching when needed.
R1. Write 47 as tens and ones. R2. Start with 3 tens and 2 ones. Exchange exactly one ten for ones. How many tens and ones remain? R3. Work out 8 + 7 and 15 − 8.
R1. Tens: ____ R1. Ones: ____ R2. Tens: ____ R2. Ones: ____ R3. 8 + 7: ____ R3. 15 − 8: ____
Original Gakuva arithmetic teaching and paper charts. Canonical target: Marble Skill Taxonomy v1, Generative Spark, Inc., commit 96a7933754af672e1bfdbf7ecb05c325860c6e0d. Database: ODbL-1.0. Content: CC-BY-SA-4.0.
Read the active card on screen. Copy its empty chart and response headings onto plain paper. An adult may read the question. Record adult reading, hints, and transcription separately.
Check the actual response before Show. Record help rather than assuming readiness.
Use paper and a pencil. Work on one numbered problem at a time. Split the set across sessions if needed. Keep adult keys separate.
How this lesson works
Complete place-value tables show exchanges and alignment. Blank tables and response fields support paper work. No digital game is needed.
Record the actual response and support. These activities 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.
A correct scalar answer alone does not show written placement or working.
These are finite task samples. They do not establish fluency or mastery.
Record prior exposure, adult reading, hints, and transcription separately.
Record the actual response and support. These activities do not establish mastery.
Compare teaching approaches
Teaching approaches
Gakuva’s recommended starting approach is selected. You can still compare every option.
1 approach
Use aligned written columns, equal-value exchanges, and inverse checks.
Use aligned written columns, equal-value exchanges, and inverse checks.
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.
No additional resources are listed for this topic.
The teaching approach appears above.
Check understanding
- Set out a columnar addition correctly with digits aligned by place value
- Carry out columnar subtraction with exchange (borrowing) when needed
- Check the answer using the inverse operation or estimation
“Can your child set out a sum like '347 + 265' or '512 − 278' in columns and work through it step by step, carrying or borrowing where needed?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Addition & Subtraction
- Age range
- Ages 7–8
Standards