Mathematics
KS3 · GCSE · A-LevelAlgebra, trigonometry, calculus and the mechanics of exam-style reasoning — including the fractions and indices that quietly break later topics.
Maths · Physics · Chemistry · Key Stage 3 to A-Level
One student, one hour, one thing finally making sense.
Tutoring that makes the hard parts click
Lucid Orbit is a one-to-one tutoring practice built around a single idea: a confused student is rarely lazy, usually just two or three missing steps behind. We find those steps, repair them, and rebuild the confidence that went missing with them.
What we cover
Subjects & levels
Four related areas, taught properly rather than broadly. If a subject isn't listed here, it's because it isn't ours to teach — say what you need and we'll be straight with you about fit.
Physics
GCSE · A-LevelForces, fields, waves and particles, taught with the maths kept visible so the equations stop feeling like magic words to memorise.
Chemistry
GCSE · A-LevelMoles, bonding, energetics and organic mechanisms, with the practical write-ups and calculation marks that students most often leave on the table.
Exam technique
GCSE · A-Level · MocksReading the command words, budgeting time per mark, showing method, and checking work in the last ten minutes instead of staring at the clock.
How lessons work
Three steps, no guesswork
Nobody should commit to a term of tutoring on a hunch. The first fortnight is designed to tell you whether this is working, in plain language.
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A short introductory call
Fifteen minutes with a parent, the student, or both. We talk through the current set, the last piece of feedback from school, and what is actually going wrong — topic gaps, pace, confidence or technique.
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A diagnostic first lesson
A full session spent on carefully chosen questions rather than a lecture. By the end there's a written list of the specific gaps found, and an honest view of how long they'll take to close.
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A weekly plan you can see
Lessons settle into a regular slot with a short plan for the term, a small amount of between-lesson practice, and a brief written note after each session so nothing happens behind closed doors.
The tutor
Taught by one person, start to finish
I'm Avery Lindhurst. I trained as a physicist, spent most of a decade teaching maths and science in secondary classrooms, and started Lucid Orbit because the students I worried about most were the ones a class of thirty could never quite reach.
There is no agency behind this page and no rota of tutors. You meet me on the introductory call, I plan the lessons, and I teach every one of them. That continuity is the whole point: I remember what we fixed in October when it reappears in a March paper.
“I don't teach students to find the answer faster. I teach them what to do in the thirty seconds after they realise they don't know it.”
- Classroom-trained, with experience of the specifications your school is actually teaching.
- Enhanced background check on file, available to view before a first lesson.
- Comfortable with students who have decided they are “bad at maths” — that's usually the first thing we undo.
- Happy to work alongside a school's own targets rather than inventing a parallel curriculum.
Session formats
Three ways to work together
Most families start with weekly lessons and add an intensive block before exams. Any of these can run online or in person.
Weekly one-to-one
A fixed hour each week through term, following the school's scheme of work while quietly repairing whatever sits underneath it.
- 60 or 90 minute slot, same time each week
- Short written note after every lesson
- Light between-lesson practice, marked next time
- Term-length plan, reviewed each half term
Intensive block
A short, dense run of sessions in the weeks before mocks or finals, built entirely around past-paper work and the marks being dropped.
- Agreed number of sessions over four to six weeks
- Paper-by-paper topic triage
- Timed practice with line-by-line marking
- A revision order for the time that's left
Paired sessions
Two students at a similar stage, learning together. Often a good fit for siblings or classmates who benefit from explaining things to each other.
- Strictly two students, same subject and level
- Shared planning, individual feedback notes
- Suited to revision and technique work
- Reviewed after three sessions for fit
Rates depend on level, format and whether lessons run online or in person — we'll set them out clearly on the introductory call, before anything is booked.
Before you ask
Practical questions
Are online lessons as good as in person?
For maths and science, yes — often better. A shared digital whiteboard means every line
of working is visible to both of us, and the whole page is saved and sent over afterwards. In-person
lessons are available for students who focus better across a table.
Do we need to buy workbooks or materials?
No. Question sets, worked examples and past papers are all prepared and provided. Bring
the school exercise book and whatever the current topic is — that's the most useful material there is.
What happens if we need to rearrange a lesson?
Illness, school trips and clashing fixtures happen. Let us know in good time and the slot
moves to another day that week where the diary allows. The cancellation terms are shared in writing before
the first lesson, so there are no surprises.
How much will we hear about progress?
A short note after each lesson covering what we worked on, what went well and what
follows next, plus a longer review each half term. Older students sometimes prefer to receive these
themselves — we'll agree that at the start.
Is there a trial lesson?
The diagnostic first lesson is the trial. It's a full, useful session, and there's no
obligation to continue afterwards. If it's clear that another tutor or a different subject specialist
would serve the student better, we'll say so.
Enquire
Start with a conversation
Tell us the subject, the stage and what's going wrong. You'll get a reply with current availability and a suggested time for a short introductory call — no sales pitch attached.
Current waiting list: a small number of weekly slots open each term, with more flexibility for online sessions. Exam-term intensives are planned a few weeks ahead.