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Stuck on a maths exercise?Write your working: Coach shows you the step that trips you up.

Every notion follows four stages: a lesson, a series of exercises, an exam without help, a challenge. This page shows what you see at each one, on the same example, Pythagoras’ theorem in 3e, as the platform displays it.

Start with Coach See the journey

Maths, 6e to Terminale.

Exercise 1

10 points~5 min

In triangle $A B C$ , right-angled at $A$ , $A B = 6 cm$ and $A C = 8 cm$ . Find the length of the hypotenuse $B C$ .

BC2=AB2+AC2BC2=62+82=36+64=100BC=√100=10cm

Reproduction of Coach’s exercise screen: the student writes their working line by line in the maths field (sample content).

The journey, on a real example: Pythagoras in 3e.

The screens are reproductions of the platform, with sample content.

Before the journey · Profile

A profile in a few minutes, which the student can redo

On arriving in Coach, the student gives their first name, their year, and a name for their assistant. A short conversation, which they can skip, then records their interests and how they prefer things explained.

Do they prefer an overview or a guided example to enter a lesson? A hint, a similar example or a list of points to check when they are stuck? These preferences then serve every notion.

Create your profile

This information is needed to access the platform.

Your first nameLéa

Your assistant’s nameAiko

School year

6ème5ème4ème3èmeSecondePremièreTerminale

Reproduction of the AiCole platform’s “Create your profile” screen (sample content).

Stage 1 · Discovery

A lesson that talks about what they know

Pythagoras arrives through a concrete problem, chosen among their interests: here, the diagonal of a football pitch, with the figure in view.

Beside the lesson, the Companion answers their questions. By selecting a passage, the student chooses “Explain this” or “Summarise this” and gets another formulation. Once every section is read, the lesson is marked “Discovered” and the series of exercises opens.

Back to coursePythagoras’ theorem2/5

Léa crosses her football pitch diagonally. The pitch is $100$ m by $60$ m: how far does she run?

In a right-angled triangle, the side opposite the right angle is called the hypotenuse. It is the longest of the three sides.

ExplainSummarise

If triangle $A B C$ is right-angled at $A$ , then the square of the hypotenuse equals the sum of the squares of the other two sides:

$B C^{2} = A B^{2} + A C^{2}$

On Léa’s pitch: $B C = \sqrt{100^{2} + 60^{2}} \approx 116.6$ m.

Companion

Why do we square the sides? Can’t we just add them?

Good question, Léa! Take an example: a right-angled triangle with sides of 3 and 4.

If you add the lengths, you get 7. But if you measure the hypotenuse, you get 5. It’s the areas of the squares on each side that add up: 9 + 16 = 25, and 25 is the square of 5.

Shall we check it together with your football pitch?

Message...

Reproduction of the AiCole platform’s “Lesson: Discovery” screen (sample content).

Stage 2 · Assimilation

Exercises the student writes out, and a correction that reads

A series of exercises of five types: a problem to write out, fill-in-the-blank, multiple choice, short answer, true or false. The student writes their working line by line in the maths field, in Maths or Text mode. Each answer is saved as soon as they move to the next.

In the app: Practice

Back to course

Pythagoras’ theorem

1/5

Exercise 1

10 points~5 min

In triangle $A B C$ , right-angled at $A$ , $A B = 6 cm$ and $A C = 8 cm$ . Find the length of the hypotenuse $B C$ .

BC2=AB2+AC2BC2=62+82=36+64=100BC=100cm

Reproduction of Coach’s exercise screen during a series: the exercises on the left, the statement and the maths field (sample content).

After “Grade”

A mark out of 20, and feedback on each exercise

The whole series is corrected in one go. At the top, the mark and a word on the whole. For each exercise: its points, what was done right, the analysis of the errors, suggestions, and the detailed solution to compare. During the series, “Need help” opens the Companion.

Excerpt from this correction

“BC² = 100, so BC = 100 cm”. Error analysis: the last step is missing, taking the square root. BC = √100 = 10 cm.

The stage is complete once a series is passed.

Back to course

Score: 14 / 20

A solid series: you can spot the hypotenuse and apply the theorem. Remember to finish the calculation: in two exercises, the square root is missing at the end.

Exercise 1

6 / 10 points~5 min

In triangle $A B C$ , right-angled at $A$ , $A B = 6 cm$ and $A C = 8 cm$ . Find the length of the hypotenuse $B C$ .

BC2=AB2+AC2BC2=62+82=36+64=100BC=100cm

Feedback

What you did well: You identified the hypotenuse and wrote the relation $B C^{2} = A B^{2} + A C^{2}$ . Your calculation $36 + 64 = 100$ is correct.

Error analysis: You found $B C^{2} = 100$ , then concluded that $B C$ is 100 cm. The last step is missing: taking the square root.

Suggestions for improvement: When you work with a square, always finish with the root: $B C = \sqrt{100} = 10 cm$ . Also check that the hypotenuse is still the longest side.

Final encouragement: Your working is almost complete, only one step is missing!

Solution

Reproduction of a corrected series in Coach: the mark out of 20, then each corrected exercise (sample content).

Stage 3 · Restitution

An exam, without help

Once the series is passed, the student takes an exam on the notion: test-style questions, generated for them, with no hint and no Companion.

Before starting, they see the duration, the marking scheme and the rules: full screen, limited time, no resources. They then receive their mark and feedback. This is the journey’s internal assessment; the Brevet blanc and the Bac blanc have their own space in Coach.

Brevet & Bac in Coach

In the app: Exam

Exam · Pythagoras’ theorem

30 minutes·20 points

Before you start

Full-screen mode

The exam runs in full-screen mode, switched on automatically when it starts.

Time limit

You have 30 minutes. The exam is submitted automatically when time runs out.

Leaving the exam

Leaving full screen asks you to choose between continuing and giving up. Refreshing the page, using the back button or closing the tab can interrupt the exam.

Format

All the exercises are visible at once. Your answers are saved automatically.

No assistance

The chat and learning resources are not available during the exam.

Start the exam

Reproduction of the AiCole platform’s “Before you start” screen (sample content).

Stage 4 · Mastery

A challenge: questions that chain on a complete situation

After the exam, a challenge checks that the notion holds in a whole problem.

Each challenge starts from a long statement, then asks questions that chain: 1a, 1b, 1c… When the challenge is passed, the lesson is marked “Mastered”.

In the app: Challenge

Time left31:20

Challenge

1/2

Challenge 1

10 points~20 min

The Martin family has a rectangular garden $A B C D$ , $12$ m long and $5$ m wide. They want to lay a straight path from corner $A$ to corner $C$ , then sow grass over the rest of the garden. The path is $1$ m wide along its whole length. One bag of seed covers $15$ m² of lawn.

Exercise 1a2 points
Explain why triangle $A B C$ is right-angled, and say at which vertex.
ABCD is a rectangle, so the angle at B is a right angle: ABC is right-angled at B.
Exercise 1b3 points
Work out the length $A C$ of the path.
AC2=AB2+BC2=122+52=169AC=√169=13m
Exercise 1c5 points
Work out the area of grass to sow, then the number of seed bags to buy.

Reproduction of a challenge in Coach: a long statement, then guided questions, each with its own answer (sample content).

Try a series, as in Coach.

Five 3e exercises on Pythagoras’ theorem, one of each type. Write your working, move from one exercise to the next, then click “Grade”.

You can write your answers here to discover the interface. The correction happens in Coach, with a free account: what you write here stays in your browser and is not transferred.

Back to course

Pythagoras’ theorem

1/5

Pythagoras’ theorem · 1/5

Exercise 1

10 points~5 min

In triangle $A B C$ , right-angled at $A$ , $A B = 6 cm$ and $A C = 8 cm$ . Find the length of the hypotenuse $B C$ .

Answers typed here stay in your browser.

In development

When a student gets it wrong, the cause is almost always one of these four.

The first three are each worked on separately. The fourth recedes once the other three hold.

The Training Zone

Short chapters that work on a single pillar at a time: spotting in a text what serves the calculation without calculating anything, choosing the method and ordering the steps, or calculating correctly when the model is given.

Planned for the 2026-2027 school year. Preview below: these exercises are graded in your browser, without AI.

Three areas to train · pick one

Pillar 1
Modelling
Turning the situation into maths.
Extracting the useful elements from a statement, setting aside what distracts, writing the situation in symbols.
Pillar 2
Reasoning
Knowing what to apply, and in what order.
Choosing the property, formula or method that fits, organising the steps, justifying each move.
Pillar 3
Execution
Getting the calculation right.
Once the model is set and the method chosen: calculating cleanly, following the rules, checking the result.

Their consequence

Consequence
Inhibition
Freezing in front of the problem.
The student does not dare start, or gives up. It happens while the other three are not secure yet, and recedes as they get stronger.

Exercise type

Spot the glitch

1/3

Spot the glitch · 1/3

Exercise 1 of 3

2 points~3 min

Back-to-school supplies

Situation: Before school starts, Leo, who is 14, goes shopping with his older sister. He buys 3 notebooks at €4 each and a pen at €2. His sister treats herself to a €25 bag. The shop opens at 9:00 and offers a free loyalty card.
Question: How much did Leo spend?
Your task: A student has noted the key elements of the text. Tap the line that doesn’t match the problem, then choose the reason.

What we’re looking for: the amount Leo spent

Useful data: 3 notebooks at €4 each

Useful data: 1 pen at €2

Useful data: the €25 bag

Answer all 3 exercises, then submit: each mistake will be located and explained.

What adapts to each student, and where to see it.

It all starts from the student’s profile and their work in Coach.

What adaptsHowWhere to see it

The context of lessonsThe examples start from the interests recorded in the profile.The lesson, Discovery stage

The way of explainingOverview or step by step, example or hint, according to the profile’s preferences. The student can regenerate them.The profile, and the Companion

Help during the exerciseThe Companion answers the question asked about the current exercise.“Need help”, Assimilation stage

The correctionFeedback on each exercise, written on the student’s working, with the solution.The correction page

The rest of the journeyEach stage opens once the previous one is passed. Each lesson’s journey shows the recommended stage.The lesson’s “Learning journey”

What Coach covers today.

Maths, 6e to Terminale, following the Ministry of Education’s official programmes, published in the Bulletin officiel. The chapters available for each year are listed in the app, once the year is chosen. In 3e, a Brevet blanc; in Terminale, a Bac blanc for the maths speciality.

Other subjects are planned. We will announce them here when they exist.

Practical questions

The short answers. The detail is on the linked pages.

Parents Pricing Pilot results Trust & data

Which years and which chapters?

6e to Terminale, in maths, following the official curriculum. The detail of the chapters is visible in the app once the year is chosen.

Does Coach give the answer if you insist?

During an exercise, the Companion is designed to guide without giving the final answer: a hint, a rephrasing, a similar example. The exercise’s solution is not passed to the model, and an automatic check rejects a reply that would contain it. The detailed solution comes after the correction of the series.

What happens after a wrong answer?

Nothing during the series. At correction time, each exercise gets its points, the analysis of the error and the solution. The student can redo the series.

How does the student come back to what they learned?

Through the exam without help, then the challenge. These are the journey’s internal assessments. For the Brevet and the Bac, Coach offers a Brevet blanc and a Bac blanc, separately.

How does Coach personalise?

With a starting profile (year, interests, explanation preferences), gathered in a short conversation the student can redo. The lessons and the Companion’s help build on it.

Do you need an account to try?

No for the example on the home page and the sample correction above. Yes to correct your own answers and open the Companion, because the correction is produced for your account.

What data is used?

The year, the subject, the chosen interests and the work done in Coach. The detail, and what never leaves, is on Trust & data.

What about physics, chemistry or biology?

Coach is a maths coach. Other subjects are planned; we will announce them here when they exist.

How much does it cost?

Free during the beta, no bank card. A monthly subscription is planned afterwards; it is not available yet and will be announced before it opens.

Free during the beta.

No bank card. A monthly subscription is planned after the beta; it is not available yet and will be announced before it opens.

Start with Coach See pricing

Stuck on a maths exercise?Write your working: Coach shows you the step that trips you up.

The journey, on a real example: Pythagoras in 3e.

A profile in a few minutes, which the student can redo

A lesson that talks about what they know

Exercises the student writes out, and a correction that reads

A mark out of 20, and feedback on each exercise

An exam, without help

A challenge: questions that chain on a complete situation

Try a series, as in Coach.

When a student gets it wrong, the cause is almost always one of these four.

The Training Zone

Modelling

Reasoning

Execution

Inhibition

What adapts to each student, and where to see it.

What Coach covers today.

Practical questions

Which years and which chapters?

Does Coach give the answer if you insist?

What happens after a wrong answer?

How does the student come back to what they learned?

How does Coach personalise?

Do you need an account to try?

What data is used?

What about physics, chemistry or biology?

How much does it cost?

Free during the beta.