Free lesson · Precalculus · age 17
A free art math lesson: Precalculus
art
This is a free, playable Precalculus lesson for a kid who loves art: "Functions, Transformations, and Inverses". It runs in the same interactive player a subscriber's kid uses, with teaching steps, checks they can retry, a mini-game, and a printable worksheet. Add your kid's name and it is woven in, no sign-up.
Before precalculus gets fancy, we make sure the core tool is solid: the function. You already use one every time you drag a brightness slider, a pixel's value goes in, a new value comes out, no surprises. Here we sharpen that idea for math: reading a function's domain, range, and symmetry off its graph, stacking two functions together (composition), and figuring out how to build the function that undoes another one (its inverse). Think of it as the underdrawing: nobody sees it at the end, but everything else in the course gets painted on top of it.
It is lesson 1 of an 8-lesson course on the standard Precalculus sequence, which continues with "Polynomial and Rational Functions", "Exponential and Logarithmic Functions", "Trigonometric Functions and the Unit Circle". When you subscribe, your own kid's full course is written around their interests and starts with a quick check of what they already know.
Free to play, no sign-up · your own kid's course comes with Family, $49/mo
Where the full course goes
Lesson 1 is free to play right now. The rest is the standard Precalculus sequence a subscriber's course follows, written around their own kid.
- Functions, Transformations, and Inversesfree now
- Polynomial and Rational Functionsfull course
- Exponential and Logarithmic Functionsfull course
- Trigonometric Functions and the Unit Circlefull course
- Analytic Trigonometry and Identitiesfull course
- Applications of Trigonometryfull course
- Systems, Matrices, and Conic Sectionsfull course
- Sequences, Series, and the Binomial Theoremfull course
From Algebra 1 to Calculus, the math gets abstract but the motivation does not have to. These samples anchor real course-level content, on real standards, in the things a teenager actually spends time on.
Questions parents ask
Is this a real lesson?
Yes. It is a complete, playable Precalculus lesson built around art, in the same player a subscriber's kid uses, with a printable worksheet. The later lessons of the course are shown as an outline; a subscriber's course writes all of them around their own kid.
How does the personalization actually work?
You tell Mathbloom your kid's age, the math they need, and a few interests. The course is then generated fresh for them: the sequence of lessons follows real Precalculus standards, while the examples, word problems, diagrams, and humor are built from their interests, with their name woven through. This page's sample shows what that looks like when the interest is art.
How much practice is there?
Each skill mints fresh problems on demand, so practice never runs out and no two attempts look the same. Right after a lesson introduces a skill, a short loop keeps going until your kid gets three in a row, then the same idea comes back later for review, on a widening schedule, across the whole Precalculus course.
What if my kid is ahead, or behind?
An optional quiz before lesson 1 checks that first, using fresh problems from the same library the lessons draw from, nothing graded. A gap from an earlier grade adds a short Foundations lesson to the front of the course. A skill they already have gets marked done and skipped, recorded honestly instead of repeated. Either way, the first lessons in the Precalculus course are written to what the quiz finds, not a guess.
What does it cost?
Playing this sample is free, no sign-up. A full membership is the Family plan at $49/mo for up to 3 kids, each with their own generated courses, cancel anytime. Tutors and co-ops can run up to 10 learners on Studio at $199/mo.
Is it aligned to grade level?
The sample follows the standard Precalculus scope, and generated courses are built on real grade-level standards with named mastery objectives per lesson. A kid who is ahead or behind simply starts at the level that matches where they are, not their grade label.