Mathematics from Year 7 to Year 13, as one connected course

Pick a year

Each year lists its units in teaching order. The stripe shows each unit's strand, in order. Every year, from Year 7 to the Diploma, has its lessons ready.

Every lesson, with a plan

The first lesson of every unit is free to try. A plan opens the rest, for every child in the family. One payment, nothing renews, and a full refund within 30 days.

Revision packs are included in every plan: each plan comes with the packs for its years. A pack on its own is $19.

Start with one lesson

Not sure where to begin? Each of these lessons has a figure you can move that shows the big idea working, and starts with something anyone in that year can try.

• Year 7 Same fence, different area Keep the fence the same length, slide the width of the pen, and watch the area rise and fall until the square wins. Geometry and Trigonometry Plan
• Year 8 Multiplying and dividing integers Run a times table down past zero and the products keep their steady step, which is why a negative times a negative comes out positive. Number and Algebra Plan
• Year 9 Does one cause the other? Lurking variables and bias Children with longer feet read better, until you colour the dots by age and the link vanishes inside every age group. Statistics and Probability Plan
• Year 10 Standard Similar solids and scale factors Double every length of a brick and it needs four times the paint but holds eight times as much: see why on one slider. Geometry and Trigonometry
• Year 11 Standard Exponential growth and decay Race something that doubles against something that grows by a fixed amount, and find the moment the curve pulls ahead for good. Functions
• Diploma, AA Maximum, minimum, optimisation and inflexion Reshape a can that always holds the same amount and find the radius that uses the least metal, then prove it with a derivative. Calculus Plan
• Diploma, AI Amortisation and annuities Step through the monthly payments on a loan and watch the share that goes on interest fall from most of the first payment to almost none of the last. Number and Algebra

Five strands, seven years

Every unit belongs to one of five strands, and each strand runs from Year 7 to the Diploma. The table counts the units in each strand by year.

Revision packs

For parents who want to help at home without knowing the maths. One printable A4 PDF for each year, written for IB schools: 100 exam-style questions in three levels (Warm-up, Core and Stretch), a timed mock paper with a mark-by-mark scheme, and a note on every answer that names the mistake most students make.

• 
  Year 7MYP Year 1, ages 11 to 12Buy for $19
• 
  Year 8MYP Year 2, ages 12 to 13Buy for $19
• 
  Year 9MYP Year 3, ages 13 to 14Buy for $19
• 
  Year 10MYP Year 4, Standard and Extended in one packBuy for $19
• 
  Year 11MYP Year 5, Standard and Extended in one packBuy for $19
• 
  IB Maths AA SLAnalysis and Approaches, Standard LevelBuy for $19
• 
  IB Maths AI SLApplications and Interpretation, Standard LevelBuy for $19

Already in the plans: the Years 7 to 11 plan includes the Year 7 to 11 packs, and the IB Diploma plan includes all seven. Prices are in US$; Gumroad shows your local currency at checkout. The PDF is stamped with your purchase email and is yours to print. Refunds within 30 days: reply to your receipt.

For maths departments

Students try the first lesson of every unit free. Teachers get the part a class must not see: a teacher page for every lesson, and for every MYP unit a set of criterion A to D tasks with markschemes and exemplars.

Written by Keith Spencer, Head of Mathematics and IB Diploma Coordinator, thirty years teaching US, UK and IB curricula. How every number is checked.