Numbers on a number line
Select and use appropriate tools and representations (number lines, hundred squares, rulers, part-whole models) to support problem-solving
Share and support
Teaching Table
Set out your lesson
Choose a representation for a reason rather than always doing a calculation mentally.
Inferred, not a taxonomy edge: learner can access the supplied prompt with agreed support and can explain or mark a response. If earlier skills are unfamiliar, use the prerequisite topic for teaching; an authored prerequisite is not proof this learner is ready.
Keep the two adult-only cards off the learner screen. Have a pencil and scrap paper if useful; oral pointing/typing/AAC can replace handwriting unless spelling or composition is the target. No printing, cutting, account or purchase is required.
Open Show first, read the explanation together, and pause to check the central idea. Then do Guided Try together.
For Try, close earlier models and the adult keys unless the task explicitly supplies a reference. Record any hints, read-aloud help or model reopening; do not call supported work independent.
Use only the active learner card. Keep the private key closed until an attempt is recorded. Stop or take a break on request; practical claims stay not observed unless actually done.
Use on screen; read aloud or recreate a tactile model only with declared support. No printer or purchased kit.
Never display adult keys or dictation spellings with a learner task; no family financial, identity or conflict disclosure.
Never display adult keys or dictation spellings with a learner task; no family financial, identity or conflict disclosure.
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.
Tool choice and calculations available without equipment; actual length measurement remains conditional.
These bounded examples do not establish independent performance in other situations. Record the support used.
Never display adult keys or dictation spellings with a learner task; no family financial, identity or conflict disclosure.
Compare teaching approaches
Teaching approaches
Gakuva’s recommended starting approach is selected. You can still compare every option.
1 approach
Choose a representation for a reason rather than always doing a calculation mentally.
Choose a representation for a reason rather than always doing a calculation mentally.
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
Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.
No reviewed resources for this concept yet.
The teaching approach above still stands. Curated practice links will appear here as the shelf fills.
Check understanding
- Choose a number line or hundred square to support adding or subtracting two-digit numbers
- Select a ruler when a problem requires measuring length
- Explain why one representation (e.g. a number line vs cubes) is more helpful for a particular problem
“When your child is tackling a maths problem, do they choose a useful tool — like a number line for addition or a hundred square to count on — rather than always working in their head?”
Curriculum record
- Type
- Meta
- Subject
- Mathematics
- Domain
- Mathematical Thinking
- Age range
- Ages 6–7