Young Geniuses · Ages 13 to 14
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Young Geniuses · Ages 13 to 14
All Young Geniuses gamesTangent Line Builder
Read a curve and its tangent, then find the gradient at a point in an autonomous vehicle engineering lab, for ages 13 to 14.
BuilderConstruct tangent lines to curves dynamically~7 min per level4 levelsAll devices
- Free · no account required
- COPPA compliant
- +10 XP per level
- 4 levels
- Plays on all devices
- Curriculum-aligned
The learning journey
Every activity is one step. Here is where this one fits.
- Play(you are here)Learn the idea in a game
- PractiseLock it in on paper
- ReviewCome back and keep it sharp
- MasterTake on a harder challenge
- AchieveEarn a certificate
About Tangent Line Builder
Tangent Line Builder sets students in an autonomous vehicle engineering lab, where the path of a self-driving car curves across the workstation. Reading the parabola y = ax squared and finding the gradient of its tangent at a chosen point introduces the central idea of calculus — the gradient of a curve at a point — through an interactive, visual challenge that connects geometry to motion. It is built for ages 13 to 14 (grade 8 and grade 9, GCSE Higher) with clear instructions, large touch targets, and progressive difficulty, so students can work independently or alongside a parent. Correct answers bring encouraging feedback and a small celebration, while mistakes are never punished and simply invite another try, which keeps confidence high. The challenge grows step by step so it always matches the learner, supporting steady progress across the upper-secondary and GCSE Higher curriculum used in the US, UK, Canada, and Australia. The game runs in any modern browser with no app to install, no sign-up, and no advertising shown to children. Progress is saved only on the device and appears in the Parent Dashboard, so families can follow growth without any data leaving the browser. It pairs well with our Young Geniuses worksheets for offline practice of the same skills.
Where to go next
Chosen by the skills this activity practises.
Next — more of the same skill
Printable worksheets for this skill
A hand for grown-ups
- Before you start
- Find a calm few minutes with no rush. Let your child know it is fine to find some of it tricky — that is what practice is for.
- While they work
- Sit nearby but let them lead. If they get stuck, ask "what could you try?" rather than giving the answer — the thinking is the point.
- Afterwards
- Ask them to show you one they found easy and one they found hard. Praise the effort on the hard one, not just the right answers.
- Watch out for
- Rushing. If answers come too fast and wrong, slow the pace down together rather than pushing for more.
- Away from the screen
- Look for the same maths in everyday life — counting stairs, sharing snacks, spotting shapes on a walk.
How to play
A question appears on screen
A maths question is shown in large text at the centre of the play area. A timer bar begins counting down from 100 seconds.
Choose the correct answer
Answer options are shown as large buttons. Tap and drag, or use the mouse on desktop. Any input method works — touch, mouse or keyboard.
Build your streak
Each consecutive correct answer increases your streak. A longer streak lights up the flame icon and adds a bonus multiplier to the XP you earn for the level.
Finish the level
Each level has 4 questions. Complete them to earn the full level reward (+10 XP, plus up to +10 XP for a perfect run). Progress is saved locally and shown on the Parent Dashboard.
Curriculum alignment
Mapped to national curriculum frameworks so teachers and parents can match practice to school standards.
- United StatesCommon Core State Standards for Mathematics · calculus, tangents, gradientsAligned to calculus, tangents, gradients number and operations objectives.
- United KingdomNational Curriculum for England — Maths · calculus, tangents, gradientsAligned to calculus, tangents, gradients number and operations objectives.
- AustraliaAustralian Curriculum v9.0 — Mathematics · calculus, tangents, gradientsAligned to calculus, tangents, gradients number and operations objectives.
- CanadaPan-Canadian Provincial Standards · calculus, tangents, gradientsAligned to calculus, tangents, gradients number and operations objectives.
Frequently Asked Questions
- It is designed for ages 13 to 14 (grade 8 and grade 9, GCSE Higher) and follows the upper-secondary curriculum.
- Yes. It is touch-first with large targets and runs in any modern browser, with no app to install.
- Students find the gradient of the tangent to y = ax² at a point, an introduction to differentiation and calculus.
- Progress is stored only on the device and appears in the Parent Dashboard. Nothing leaves the browser.
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