Build the idea
Concept explanations, worked examples, visual models and interactive diagrams. Use this when the mathematics is new or when a method has stopped making sense.
Ask: “Do I understand why this works?”A level Calculus · 8MA0 / 9MA0
This site is designed to take you from first understanding a calculus idea to using it confidently in unfamiliar problems. Each topic is organised as a learning journey rather than a list of notes: explore the idea, retrieve the key facts, practise the standard methods, explain the mathematics, then apply it.
First steps
For a new topic, work from understanding towards independence. The order is deliberate, but you can move backwards whenever you need to.
Use the Topics panel to find the part of the course you are studying. The pathway separates Year 12 content from the additional Year 13 material.
Read the Topic goals, then work through the explanations, diagrams and interactives until the main ideas make sense.
Use Memorise for notation, rules, definitions and key facts. Flashcards, games and review activities are there to make recall quick.
First practise the technique, then reasoning and explanation, then harder applications and modelling.
Check answers, reveal hints when useful and follow targeted reminder links instead of simply repeating the same question.
The five learning modes
Most topics use the same five-part structure. Some foundation or review topics deliberately use fewer modes when another section would add no value.
Concept explanations, worked examples, visual models and interactive diagrams. Use this when the mathematics is new or when a method has stopped making sense.
Ask: “Do I understand why this works?”Definitions, notation, standard results and method cues are turned into active-recall tasks, flashcards, games and mixed review.
Ask: “Can I recall this without looking it up?”AO1 is about carrying out familiar mathematical procedures accurately and efficiently: algebra, differentiation, integration and other standard methods.
Ask: “Can I execute the method correctly?”AO2 asks you to justify choices, interpret results, connect representations, diagnose errors and communicate mathematical reasoning clearly.
Ask: “Can I explain or justify the mathematics?”AO3 is about choosing and connecting mathematics in less familiar problems, including modelling and problems set in mathematical or real-world contexts.
Ask: “Can I decide what mathematics to use?”Tools around the course
The controls around each activity are there to help you navigate, practise independently and recover when you get stuck.
Shows what you should be able to understand or do by the end of the topic. Check these at the start and again when reviewing.
Takes you to targeted support for the exact gap: an Understand explanation, a Memorise item or suitable AO1 practice.
Collects important vocabulary and notation as you meet it. Use it to check definitions and mark terms that need more review.
Appears only where calculator support is genuinely useful. It shows how a Casio ClassWiz can be used to check or support the mathematics without replacing the method.
Practice questions can generate fresh examples. Use New question, hints, answer checking and worked solutions to build independence rather than memorising one example.
Topic markers show what you have visited and completed. Progress is stored locally in your browser; the Data tool lets you export, import or reset it.
Course pathway
The first part of the pathway develops the core ideas of differentiation and integration and ends with a Year 12 review and mastery checkpoint.
The second part extends those ideas into the additional differentiation and integration techniques required for the full A level.
Review sections mix topics so you must recognise the structure yourself. They are designed for consolidation once individual topics are reasonably secure.
Topic goals
Understand complete
Now make the topic secure: use Memorise first, then AO1, AO2 and AO3. Return to Understand whenever an idea, method or explanation stops feeling clear.
Explore the idea
Start from what the graph is doing, then connect that visual change to the derivative rather than beginning with a rule to memorise.
Explore, notice and make sense of the mathematics before formalising the method.
The linked-function explorer will live here; the mathematics remains the visual focus of the workspace.
Learn
Key facts from this topic are collected here before retrieval.
Flashcards
Say or think the answer first. Reveal it, then judge whether you knew it without help.
Games
Same core knowledge, different retrieval formats.
Match
Choose one item from each column.
Build the rule
Select tokens in order. Use Undo or Reset whenever you want to change the construction.
Missing piece
Choose one piece, then check it.
Sort
Select an expression, then choose its bucket. This is the keyboard/touch alternative to dragging.
Spot the impostor
Choose the one statement that breaks the rule.
Review
Use an untimed mixed review, or focus on rapid recall or diagram recall. The timer is always optional.
Rapid recall
Choose the best answer. Accuracy comes before speed.
Diagram recall
Read the diagram first, then choose the callout label.
Build the rule
Select tokens in order.
Missing piece
Choose one piece, then check it.
Sort
Select an item, then choose its bucket. This is the keyboard/touch alternative to dragging.
Spot the impostor
Choose the one statement that breaks the rule.
Question
Set complete
Your score is shown before you choose where to go next.
Diagnostic mastery
Evidence is grouped by the exact Year 12 micro-skill. This is diagnostic feedback, not a single score.
Complete questions in this mastery set to build your diagnostic picture.
Differentiation mastery
Evidence is grouped by exact micro-skill. Recognition errors and execution errors are counted separately and routed to precise support.
Complete questions in this mastery set to build your diagnostic picture.