For tutors · The Curated Learning Method

Structure and direction for every session.

The worksheets our own tutors teach from, now available to HSC and IB tutors. Every session has a plan, built on spaced repetition and high-yield concepts, with homework that keeps students learning between lessons.

EnglishBusiness StudiesMathematics

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Model answersTutor copy

Q3.A spherical balloon is inflated at 12 cm³/s. Find the rate the radius increases when r = 3 cm.

dV/dt = 4πr² · dr/dt
12 = 36π · dr/dt
∴ dr/dt = 1/(3π) cm/s

Why this scores 3/3Chain rule stated before substituting, and units on the final line. Most students lose the mark for units.

Partial credit1 mark for dV/dr = 4πr² even if the chain rule is never set up.

Curated LearningPage 4

The five questionsStyle 3

1.Water drains from a cone at 2 L/min. Find dh/dt when h = 10 cm.

2.A ladder slides down a wall at 0.5 m/s. How fast is its base moving?

3.A spherical balloon is inflated at 12 cm³/s. Find dr/dt when r = 3 cm.

4.The side of a square grows at 3 mm/s. Find the rate of change of area.

5.Extension: a shadow lengthens as a person walks from a lamp.

Curated LearningPage 2

Mathematics AdvancedHSC · Year 12

Rates of change, question style 3.

One worksheet · 60-minute session · Calculus

i.Retrieval warm-up: chain rule5 min
ii.The pattern behind style 310 min
iii.Worked example, step by step10 min
iv.The five questions25 min
v.Model answers and marking notesTutor
vi.Homework set for the weekTake-home

Curated LearningWorksheet 03

⁺10ATAR points, on averageAcross more than 50 graduated HSC students taught with this method

⁺5.2IB points, on averageAcross more than 60 graduated IB students

15⁺HSC school and subject duxesAmong the tutors who write and teach from these worksheets

Structure

Every minute of the session already planned.

Each worksheet gives a session a clear direction, from the first question to the homework. No more deciding what to cover while the student waits.

5 minRetrieval warm-up

10 minThe pattern behind the style

10 minWorked example

25 minThe five questions, graded in difficulty

10 minReview and homework set

015304560 min

The principles

Built on how students actually remember.

Spaced repetition

Learned once, revisited on purpose.

Every worksheet opens with retrieval questions from earlier topics, returning at widening intervals, so what was taught in Term 1 is still there for the Trial.

High-yield concepts

Time spent where the marks are.

We map each course to the five question styles and concepts that carry the most marks, and teach those first. Less volume, more of what is assessed.

Homework

The lesson doesn't end at the door.

Each worksheet closes with short homework sets for the days between lessons: today's style, plus one from earlier, so practice keeps compounding.

Inside every worksheet

Everything you need to teach it well.

Original questions

Written by our tutors in the style, topics and difficulty of real exams. Never copied from official or school papers, so they're safe to use with paying students.

ii.

Model answers, with reasons

Not just the answer: why one response scores higher than another, and where partial marks are won and lost.

iii.

The 5 Question Method

Each worksheet teaches one of the five question styles behind a course, so students learn the pattern, not just the question.

iv.

Tagged by topic

Every school teaches in its own order. Worksheets are organised by syllabus topic, so you can pick up the one that matches where your student is this week.

For your own students

Worksheets, ready to teach.

Bring structure to every session without spending your evenings writing it.

A complete worksheet per topic: retrieval warm-up, worked example, five questions, homework
Tutor copy with model answers and marking notes
Single worksheets or full topic sets

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Every worksheet included, at no cost
You keep the majority of every lesson fee

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Teach with structure and direction.

Tell us what you teach and we'll send sample worksheets for your subjects, with details on pricing and how tutoring with us works.

i.Sample worksheetsFor your subjects and curriculum.
ii.A short callHow the method works in a session.
iii.Start teachingWith worksheets, or as part of our team.