Tailored, scaffolded exercises

Rigour, not rote

Students don’t learn from rote worksheets. Instructive’s mastery modules use conceptual, visual, and scaffolded design so every student makes meaningful progress: filling gaps, stretching advanced learners, and building strong learning habits along the way.

“With (Instructive), nobody is left behind. The system adapts to each student’s needs.”
Darren Rowe, Secondary Mathematics Teacher

What mastery modules are – and where they fit

Mastery modules are the personalised exercises at the heart of every unit. Each one:

Takes around 30 minutes – students might all be on ‘Exercise 5.2’, but each student has their own tailored exercise, at their point of need. That way, every student does a fair share of work: tailored to their level, but equal in effort.
Meets students where they are – missed building blocks from earlier years hold some students back. Modules close those gaps systematically. Meanwhile, advanced learners also receive an appropriate level of challenge, including through extension.
Sits inside the unit structure – typically lining up with the explicit teaching in the unit, even when gap-filling (see more on Explicit Teaching Resources).
Combines online guidance with written working – students solve maths in their exercise books, not just on screen. Higher-level modules are fully hand-written to build exam-ready habits.
Can be printed when needed – giving teachers the flexibility to run screen-free lessons without losing structure.
Feeds directly into assessment – Topic Tests automatically include questions matched to the modules students complete (see more on Assessment and Reporting).

Because of their design, modules deliver depth as well as breadth: scaffolding new ideas step by step, exploring sub-cases, tackling misconceptions, and including problem-solving in varied contexts until concepts are secure.

“Before (Instructive), classroom management was nearly impossible due to the spread of ability, but with (Instructive) we can work 1:1 with students while everyone else can still work productively on maths they’re ready to learn.”
Jane Ryan, Secondary Mathematics Teacher

Guided tour — the anatomy of a mastery module

Every module follows a clear flow. From the data that sets it up, through scaffolded practice, to final checks of mastery — each stage is designed to support real understanding.

Phase 1. Before students start – data checked

The student is ready to learn

Assessment data shows students have the prerequisites in place. For example, before starting ‘Triangle and Quadrilateral Angles’, they’ve already mastered ‘Angles Around a Point’ and other building blocks.

But they don’t know this maths yet

An ‘Entrance Ticket’ at the start provides a short check. This confirms the student doesn’t already know the new material, and shows them what they’re about to learn.

tailored-scaffolded-exercises-entrance-ticker

Phase 2. Supports at the start

Instructional video

A short teacher-led video frames the big idea and walks through key examples.

Classmates who can help

Students see a list of peers who could help with this module, encouraging collaboration.

Phase 3. Step-by-step scaffolding

Activating prior knowledge

Early questions connect back to what the student already knows (e.g. from Angles Around a Point), setting them up for success.

Building new ideas

Visual and structured questions gradually stretch their understanding, step by step.

Phase 4. Deepening learning

Misconception checks

Common errors are tested deliberately. If a mistake appears, the module highlights it and prompts the student to correct their reasoning.

Problem-solving in context

Worded and applied problems show how the maths works in real situations.

Phase 5. Practice, feedback & mastery

Line-by-line working

Students show solutions in their exercise books, reinforcing written habits and exam readiness.

Worked solution feedback

Wrong answers trigger worked examples and feedback. Students retry similar questions before coming back to repair the original error.

What happens next?

Each module ends with a short exit check. The Topic Test includes aligned questions, giving confidence that mastery is secure.

“Meeting students at the level they’re currently at is the big (benefit)… it just allows them all to come in at their own level and start making progress straight away!”
Clare Goldsworthy, Secondary Mathematics Teacher

How modules are created

Every module is written by experienced teachers, drawing on maths education research and classroom practice. Common misconceptions and best practices from the literature are built in, and each module is carefully mapped so prerequisites are secure and concepts connect seamlessly. Learning Science principles are embedded throughout (see more on Learning Science).

After release, modules are continually refined using teacher feedback and student performance data – including Topic Test results that show whether students are reliably attaining mastery. Modules are reviewed and rewritten until they work consistently. The full process is detailed in an academic paper: summary paper here; full technical paper here (see more on Research Papers).

Sample modules

Students usually complete modules with a computer, where the experience is interactive and adaptive. Feedback is built in at every step and questions adapt – some content is skipped and reordered based on student responses.

When needed for individual students, modules can also be printed from a PDF format. You’ll find a sample of these below. They’re not as dynamic as the online experience, but you can easily flick through the scaffolding, problem types, and rigour built into every module.

Download this Module PDF

Tailored. Scaffolded. Effective.

Mastery modules give every student a fair, rigorous way to learn — filling gaps, extending strong learners, and building secure understanding through written practice. You’ve seen how a module works step by step, and you can explore sample modules for yourself. Together, they show why tailored, scaffolded exercises are central to Instructive’s approach.