Volume VI, Geometry: The Ground Rules
The geometry every examination is built on. Angle laws that carry their reasons, Pythagoras and the trigonometric ratios, area and volume for every shape, column vectors, loci and constructions.
$79one volume
Volume V · Algebra
Volume VI
Volume V · Algebra: The Function
The discriminant with parameters, tangency to the circle, and the moment logarithms stop being a button. Where algebra becomes a way of asking questions about whole families of equations at once.
Pages
60
Format
2 PDF editions
Access
Lifetime
Delivery
Instant
Overview
This is the whole Year 11 algebra year, in sixty pages. Polynomials and the factor theorem, the discriminant carrying a parameter, the circle and its tangents, logarithms, sequences and series, transformations of functions and the binomial expansion, then an Exam Lab that rehearses all of it under timed conditions.
It can be read in an evening, or worked through properly across a weekend for a lasting grip on the year. Every calculation and worked solution has been verified, and the coverage is checked against the shared core of the UK, US, Canadian, Australian, New Zealand and Singapore programs.
Look inside
Six pages from the volume. Open the reader to turn between them, and to switch the same page between the Study and Screen editions.
Who it’s for
- Students in Year 11, US Grade 10, ages 15 to 16, who want the whole year in one place
- Parents looking for a rigorous, screen-light revision resource that actually gets used
- Stronger students ready to stretch into Level 3 material such as both-sides equations and midpoints
- Anyone moving between the UK, US, Canada, Australia, New Zealand or Singapore systems
Topics included
- Polynomials and the Factor Theorem: division, the factor and remainder theorems, cubic roots
- Quadratics, Inequalities and the Circle: the discriminant with parameters, tangency, the equation of a circle
- Logarithms: the laws, changing base, solving exponential equations
- Sequences and Series: arithmetic and geometric series, sums to infinity, sigma notation
- Functions, Level Two: domain and range, composite and inverse, transformations
- The Binomial Expansion: Pascal, the general term, expansions with a fractional index
- The Exam Lab: word problems, a 24-question mixed review, the Mistake Museum, exam day, reference plates
What your child will be able to do
- Use the factor and remainder theorems to factorise and solve cubics
- Interpret the discriminant when the coefficients carry a parameter
- Prove tangency between a line and a circle, and find the point of contact
- Solve exponential equations with logarithms, and manipulate the laws confidently
- Expand a binomial and find any single term without expanding the rest
What’s inside
Formula library
Glowing formula cards: the rule, what it means, when to use it, why it works, and a worked example.
3-level worked examples
Every method shown at three levels of difficulty, so the step up is never a cliff.
Trap-and-fix pairs
The wrong working beside the right working, so misconceptions get corrected on sight.
23 numbered key facts
The non-negotiables of the year, numbered 01-23 for fast last-minute review.
The Mistake Museum
A curated gallery of the errors that cost real marks, each one defused.
Exam Lab and reference plates
The LAUNCH method, timed missions, a 24-question mixed review with solutions, and two reference plates.
Frequently asked questions
Is this an instant download?
Yes. The moment your payment is confirmed, your PDF unlocks on the confirmation screen and a secure download link is emailed to you. No waiting, no manual approval.
What format is the file?
Two typeset, print-ready A4 PDFs of 60 pages in seven parts: a Study edition for paper and a Screen edition for reading in the dark. Both arrive together in one download and open on any phone, tablet or computer.
Which curriculum does it follow?
It covers the shared core of Year 11, US Grade 10, algebra across the UK, US, Canada, Australia, New Zealand and Singapore systems, cross-checked against Oak National Academy units. No single exam board is assumed.
How do I pay, and in which currency?
Checkout accepts card, PayPal and wallets. Prices display and charge in US dollars.
If it is not what I expected
Write to hello@insightbay.net and I will put it right. Your licence is for your own family: yours to keep and print for your household, not to resell or redistribute.
If it is not what you expected
A Field Guide is delivered as a PDF the moment payment is confirmed. If a volume is not what you expected, write to hello@insightbay.net and I will put it right. Your licence is for your own family: yours to keep and print for your household, not to resell or redistribute. Payments are processed securely by Razorpay and PayPal, and Insight Bay never sees or stores your card details.
Where it stops
The parameter work here assumes a student already comfortable solving quadratics three ways. If that is not yet true, Volume IV is the honest place to start.
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