Fraction Word Problems
Solve word problems involving addition and subtraction of fractions with unlike denominators, using visual models and benchmark fractions to estimate and assess reasonableness
Share and support
Teaching Table
Set out your lesson
Choose addition or subtraction for unlike-denominator fraction stories, and use benchmarks to challenge unreasonable answers.
Revisit mt_14T5yPXUq_ if common-denominator arithmetic is uncertain. Ask whether a story combines amounts or finds what remains, before introducing numbers. Canonical ages are 10–11, not a readiness guarantee. These activity checks are inferred; source availability is not mastery.
Check learner readiness directly; prerequisite availability is not attainment.
Use the supplied screen sheets or print only the active sheet. A pencil and scrap paper are enough; no printer, purchase, cutting, cooking, food handling or personal disclosure is required. Read Show first, then use Together with support. Put Show and adult keys aside before Try. Stories are fictional; no activity is evidence until the learner actually attempts it. Allow drawing, pointing, oral explanation or adult scribing; record the support actually used. Scribed mathematics is not independent handwriting. Pause or return to a prerequisite when needed, without treating uncertainty as failure.
Read for the relationship, not a keyword. Combining amounts uses addition; taking some away or comparing amounts can use subtraction. Make a rough estimate using zero, one half and one whole before computing. Then rename the fractions in a shared unit and decide whether the exact result fits the story.
Read the Show model aloud while tracing the relevant unit. In Together, invite an attempt before giving the private hint. Ask the learner to explain why the operation fits. For Try, remove worked material and let the learner choose a representation. Discuss mistakes after recording the attempt, then retry another day if useful.
Supplied fixed-unit models make partition size, equal sharing or square-area units visible. Learner diagrams are blank scaffolds or stated givens, not worked answers. Screen or paper drawing serves the purpose; no digital interactive is needed.
Record actual responses, access mode and assistance; never invent observations or infer 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 small set of tasks cannot establish mastery or general fluency. Try uses changed quantities and contexts but the taught operations, not an untested claim of broad transfer. Oral or scribed work does not demonstrate independent handwriting. Check actual learner readiness and observe the explanation.
Record actual responses, access mode and assistance; never invent observations or infer mastery.
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
- Solve: 'Tara ate 2/5 of a pizza and Sam ate 1/3. How much did they eat together?'
- Recognise that 2/5 + 1/2 ≠ 3/7 because 3/7 < 1/2 but the sum should exceed 1/2
- Estimate a fraction sum using benchmarks (0, 1/2, 1) before computing exactly
“If your child walks 1 and 1/2 miles to school and 3/4 of a mile to a friend's house, can they work out the total distance — and check whether their answer makes sense?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 10–11