Back to shop
Crash Course Series · No. 05

Year 11 Algebra: The Crash Course

Senior algebra, opened properly. Polynomials and the factor theorem, logarithms, sequences and series, and the binomial expansion, engineered into 60 pages you can master in one afternoon.

Year 11 · Grade 11 Ages 15–17 Mathematics · Algebra 60 pages
Pages
60
Format
A4 PDF
Access
Lifetime
Delivery
Instant

Overview

This is the whole Year 11 algebra year, rebuilt for revision and pitched at senior level — the point where structure beats slog. Sixty pages take a student from polynomials and the factor theorem, through the discriminant with parameters and the circle, into logarithms, sequences and series, function transformations and the binomial expansion — then straight into an Exam Lab that rehearses it all under pressure.

It is designed to be skimmed in thirty minutes the night before a test, or worked through properly in two to four hours for a genuine, 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 programmes.

Look inside

A few pages from the book — tap any page to enlarge.

Who it’s for

  • Students in Year 11 / Grade 11 (ages 15–17) moving into senior, A-level-style algebra
  • Anyone who finished the Year 10 crash course and is ready for the next level
  • Parents looking for a rigorous, screen-light revision resource that actually gets used
  • Anyone moving between the UK, US, Canada, Australia, New Zealand or Singapore systems

Topics included

  • Polynomials & the Factor Theorem — long division, the remainder and factor theorems, and sketching cubics
  • Quadratics, Inequalities & the Circle — the discriminant with parameters, quadratics in disguise and tangency
  • Logarithms — the three laws, solving aˣ = b, hidden quadratics and log scales
  • Sequences & Series — recurrence, arithmetic and geometric sums, the sum to infinity and sigma notation
  • Functions, Level Two — domain and range, inverses with domains, translations and stretches
  • The Binomial Expansion — Pascal’s triangle, nCr, expanding (a + b)ⁿ and the specific term
  • Exam Lab — word problems, a 24-question mixed review and full solutions

What your child will be able to do

  • Divide polynomials and use the factor theorem to factorise and sketch cubics
  • Use the discriminant with parameters and handle tangency to the circle
  • Apply the laws of logarithms to solve exponential and hidden-quadratic equations
  • Sum arithmetic and geometric series, including the sum to infinity
  • Transform functions and expand (a + b)ⁿ with the binomial theorem

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.
Numbered key facts
The non-negotiables of the year, numbered in sequence for fast last-minute review.
The Mistake Museum
Twelve exhibits of the errors that cost real marks, each one defused.
Exam Lab + cheat sheets
Word problems, worked missions, a 24-question mixed review with solutions, and two cheat sheets.

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 print-ready A4 PDF of 60 pages. 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 senior (Year 11 / Grade 11) algebra across the UK, US, Canada, Australia, New Zealand and Singapore systems — the foundations of A-level, IB and equivalent programmes. No single exam board is assumed.
How do I pay, and in which currency?
Checkout accepts card, PayPal, UPI and wallets through the same secure gateways as our tuition. Prices display and charge in GBP, USD, EUR, INR, AUD, CAD, SGD or AED — just choose yours.
What is your refund policy?
Because this is an instant-access digital product, sales are final once the file has been downloaded. If something isn’t right — a technical problem or a duplicate charge — email hello@insightbay.net and we will always put it right.

Refund policy & terms

This is a digital product delivered instantly on payment. By purchasing you agree that access is granted immediately and that, in line with digital-goods practice, the sale is final once the file is downloaded. Your licence is for personal and family use: you may keep and print the PDF for your own household, but not resell or redistribute it. Payments are processed securely by Razorpay and PayPal; Insight Bay never sees or stores your card details. Questions before you buy? Email hello@insightbay.net.

More from the Crash Course Series

£40 Instant PDF