TRINITY EDULAB
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TRINITY EDULAB

Trinity Admission / College Ready

Four-week pilot proposal

One class. Four weeks. From working to argument.

An institutional proposal for an existing US college or transfer preparation class studying quadratic functions and written argument. Task level would be agreed with the class teacher.

01 / One problem. A revised decision.

q(p) = 240 − 8p
C(n) = 120 + 5n

0 ≤ p ≤ 30 · Modelled sales n = min(seats, q). Assume the demand model is realised.

140 seats
$17.50Model’s optimal price · $1,130 Predicted profit
80 seats
$20.00Model’s optimal price · $1,080 Predicted profit

Revised draft

With 140 seats, $17.50 maximises predicted profit at $1,130, although $15 generates more revenue. With only 80 seats, I would recommend $20, giving a predicted profit of $1,080. Both recommendations depend on the assumed demand model.

Original synthetic example. Distinguish revenue from profit, then test the conclusion against capacity and demand assumptions. This is not an exam item, a calibrated assessment or evidence of learning gains.

02 / What you can try. What we would plan together.

Hands-on demo

Maths · Working and retries

Write by hand, replay the strokes and try again after feedback. Guest records stay in the current tab.

Simulated review

Writing · Draft and revision

Use the prepared example to review, approve and revise, then download the activity. No real teacher or AI assessment is connected.

Proposal · Scope and price to agree

Institution · One class, four weeks

Agree the class, reviewers and task load first. Classroom delivery and combined maths and writing records are proposed work.

03 / Four-week pilot proposal

One maths task and one short writing task each week: a proposed paid pilot with named subject reviewers.

  1. 01

    Agree the scope

    Choose the class, task level, subject reviewers and feedback criteria.

  2. 02

    Complete the first cycle

    Review the maths and writing, then guide the next attempt.

  3. 03

    Check the workload

    Review resubmissions and teacher time, then adjust the task load.

  4. 04

    Decide what comes next

    Use the work and actual operating costs to decide whether to continue.

Before starting, agree the class and group size, maths and writing reviewers, task load, feedback schedule and price. Content rights, student-data handling and operating arrangements must also be settled.

04 / Use the records to decide whether to continue

Student retries / Teacher workload / Scope and cost of continuing