Volume IV, Algebra: The Curve
Every quadratic, by every method: factorising, completing the square, the formula, and the judgement to know which one the question is actually asking for. The volume that decides the examination year.
$79one volume
Volume III · Algebra
Volume IV
Volume III · Algebra: The Quadratic
The year the straight line bends. Simultaneous equations solved three ways, because a student who knows only one way does not yet know why any of them work.
Pages
61
Format
2 PDF editions
Access
Lifetime
Delivery
Instant
Overview
This is the whole Year 9 algebra year. Negative indices and standard form, double brackets opened and factorised, simultaneous equations by elimination, substitution and graph, quadratic sequences and the first curved graphs, 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 9, US Grade 8, ages 13 to 14, 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
- Indices and Standard Form: negative and fractional indices, standard form, calculations
- Quadratic Expressions: double brackets, factorising, the difference of two squares
- Simultaneous Equations: elimination, substitution, and the graphical method
- Rearranging Formulae: changing the subject when the subject appears twice
- Quadratic Sequences: second differences, the nth term of a quadratic sequence
- Curved Graphs: parabolas, reciprocal and cubic graphs, reading a curve
- 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
- Work confidently in standard form and with negative and fractional indices
- Solve a pair of simultaneous equations three different ways, and know which to choose
- Factorise a quadratic, including the difference of two squares
- Find the nth term of a quadratic sequence from its second difference
- Sketch and read parabolas, reciprocal graphs and cubics
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?
A typeset, print-ready A4 PDF of 57 pages in seven parts. It opens on any phone, tablet or computer and prints cleanly at home if your child prefers paper.
Which curriculum does it follow?
It covers the shared core of Year 9, US Grade 8, 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
Factorising is taught here as a method, not as a reflex. A student who cannot yet expand a double bracket reliably will get more from Volume II first.
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