Learning Science · A learning plan you can revise

A worked learning plan: goal, practice, check and next step

Follow a complete learning plan from a meaningful goal through support, practice, later checks and revision.

Use the examples to connect this lesson with the earlier topics. No specialist equipment is needed.

After reading, you can

Construct a connected learning cycle
Use results to choose a next step

A goal and a starting attempt

Omar wants to compare unit prices while shopping. His goal is to choose the lower cost for the same quantity, explain the comparison and use a calculator when needed. In a starting task he correctly reads package prices but compares only the totals, ignoring package amounts. The priority is the cost-to-quantity relationship.

The criterion is explicit: identify comparable units, calculate the cost for the same amount and explain the choice. Speed is secondary. The starting task and permitted calculator are recorded so later work can be interpreted fairly.

Guidance and manageable practice

A worked example compares six currency units for three equal packs with eight units for four equal packs. Both cost two units per pack. The example shows why dividing price by amount creates a common basis. Omar explains the relationship, then completes a nearby example with one step missing.

He makes a unit error when comparing grams with kilograms. Feedback identifies the mismatch and uses a simple conversion before another attempt. The plan now includes checking units first. This revision responds to observed work rather than adding unrelated practice.

Authored prices. Initial packs are identical; the extension compares equal quantities of the same product with no extra fee. Price comparison is separate from the final purchase preference.
Offer	Amount	Total price (currency units)	Price per common amount
Initial A	3 equal packs	6	2 per equal pack
Initial B	4 equal packs	8	2 per equal pack
Extension C	500 g	3	6 per kg
Extension D	1 kg	5	5 per kg

A later check and a changed task

At a later session, Omar solves fresh comparisons without the worked answer visible and records whether a hint was needed. He then compares offers stated in different package sizes. Success would support retained use; a unit error would identify a remaining gap. No arbitrary session count defines completion.

The next step follows the results. If the relation is secure, compare offers with realistic constraints such as waste or needed quantity. A lower unit price is not always the best personal purchase. The learning goal supports a decision; it does not replace every other consideration.

The final shopping choice may involve a preference, such as avoiding waste, that has no uniquely correct answer. Keep the unit-price calculation separate from that judgment. A learner can calculate accurately and reasonably choose a different purchase because the relevant quantity, budget or storage condition changes.

For a concrete changed task, compare 3 currency units for 500 grams with 5 units for 1 kilogram. Since 1 kilogram is 1000 grams, the first offer is 6 per kilogram and the second 5. The lower total price and the lower price for an equal amount point to different offers.

Worked example

Reading the evidence

Omar compares same-unit offers correctly but makes errors when grams and kilograms differ. What should his next learning step retain and change?

Keep the demonstrated relationship: 6 currency units for 3 equal packs and 8 for 4 equal packs both give 2 per equal pack. This success does not need to be discarded.
Locate the new gap. If one offer is priced per 500 g and another per 1 kg, first convert amounts to a shared unit. For authored offers 3 units per 500 g and 5 per 1 kg, the first is 6 per kg and the second 5 per kg.
Practise the conversion linked to price, then try a fresh mixed-unit comparison with the worked answer hidden. Record whether a hint or calculator was used. If it works, consider a practical constraint such as quantity needed or waste separately.

Preserve the sound cost-to-quantity reasoning and target unit conversion. Later evidence should show whether Omar can coordinate both without the original worked answer.

Try it yourself

Think through each question before opening the answer.

Why begin with a starting attempt?
Show the answer and reasoning
It locates existing strengths and the actual obstacle, so instruction can target the cost-to-quantity relationship.
A starting attempt distinguishes existing strengths from the current obstacle. Without it, a plan may spend time reteaching a secure part while leaving the unit or relationship gap untouched.
What distinguishes this plan from a list of study sessions?
Show the answer and reasoning
Each action serves a goal, produces evidence and influences the next action, including delayed and changed-task checks.
Each opportunity generates information for a decision: guidance addresses a gap, practice exposes a remaining error and later/changed checks choose what to maintain or revise. Time slots alone do not supply those connections.

What to carry forward

Connect goal, evidence, guidance and practice.
Record support in later checks.
Let the result determine the next step.

References

Sources supporting the explanations and learning checks in this lesson.