Success criteria
- I can identify whether the question asks for sharing or measuring groups.
- I can draw a model for both Grade 5 unit-fraction division forms.
- I can interpret the quotient in the original context.
Explain
1/3 ÷ 4 asks us to share one third among four groups, so each share is smaller. 3 ÷ 1/4 asks how many quarter-size pieces fit in three wholes, so the count is larger. Draw both before using a rule.
Independent practice
For 1/3 ÷ 4, enter the denominator of the simplified answer.
The complete answer is 1/12.
How many 1/4-metre pieces fit into 3 metres?
Which expression describes sharing one half of a cake among three people?
The amount being shared is one half; the number of equal groups is three.
Transfer
Write two mini-stories using the same numbers: one for 1/5 ÷ 3 and one for 3 ÷ 1/5. Model and solve both, then explain why their quotients have very different sizes.
Delayed check
After four days, solve and model 1/6 ÷ 2 and 4 ÷ 1/6. General fraction divided by fraction is stretch, not required here.
Evidence and next step
Save the paired stories and models at jeremy/portfolio/math/unit-3/unit-fraction-division.md.
- Both structures chosen and explained independently → continue.
- Computation correct but story mismatched → sort six new prompts into sharing versus measuring.
- Model uncertain → use paper strips before symbols.