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.
$79one volume
Volume II · Algebra
Volume III
Volume II · Algebra: The Machinery
The year algebra acquires moving parts. Index laws derived rather than memorised, brackets opened and closed again, and the first inequalities, where an answer becomes a region.
Pages
61
Format
2 PDF editions
Access
Lifetime
Delivery
Instant
Overview
This is the whole Year 8 algebra year. Directed numbers and index notation give way to the three index laws, double brackets in both directions, equations with the unknown on both sides, inequalities, linear sequences and the straight line, 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 8, US Grade 7, ages 12 to 13, 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
- Negatives, Powers and Indices: directed numbers, index notation, three index laws, one and zero
- Expand and Factorise: like terms level two, multiplying terms, brackets both ways, double brackets
- Equations and Inequalities: two-step fluency, x on both sides, brackets, fractions, inequalities
- Formulae and Rearranging: using real formulae, writing your own, changing the subject
- Sequences: linear sequences, the nth term mastered, term tests, square, cube and geometric
- Straight-Line Graphs: gradient, y = mx + c, plotting from rules, line families
- 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
- Apply every index law, including zero and negative powers, without guessing
- Expand a double bracket and factorise it back out again
- Solve equations with the unknown on both sides, with brackets and with fractions
- Read a straight line from its equation, and write the equation from the line
- Recognise the classic mistakes examiners set, and avoid them under pressure
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 8, US Grade 7, 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
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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
This volume takes the balance method as read. If equations with the unknown on both sides are still uncertain, Volume I rebuilds that ground properly before this one begins.
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