Draft: these lessons were written with AI help and have not yet been read by a human editor.
Strand B: Number
The development and use of numbers, and ratios, rates and proportions.
- Where do our numbers come from? The story of how reckoning with the Indian numerals and decimal fractions was developed and used in one culture, and why it still matters. Invention × 2
- Rates and percentages in real life Problems about rates and proportions in a real financial context: the fixed portions of wealth in the rulings on zakat. Reflection
Strand C: Algebra
The development and use of algebraic concepts, simplifying expressions and solving equations.
- The story of algebra The story of how algebra developed, the name it takes from al-Khwarizmi's book, what came before it, and why the name still travels in every language. Invention
- Simplifying expressions and solving equations Simplifying algebraic expressions and collecting like terms, and solving equations and verifying the solutions, in light of al-Khwarizmi's six types and al-Karaji's arithmetic. Invention × 2
Strand E: Geometry and Measurement
The development and use of geometric and measurement relationships, and solving problems with them.
- The story of the circle's ratio The story of approximating the ratio of circumference to diameter in one culture, from al-Khwarizmi's mensuration chapter to al-Kashi's computation, and its link to astronomy. Invention × 2
- Changing dimensions, and the volume of a cone How changing lengths changes area, and how the volume of a cone or pyramid relates to its base and height, as in al-Khwarizmi's mensuration chapter. Invention × 2
- Units and converting between them Converting the module to the cubit in al-Kashi's calculation of muqarnas surface. Invention
Strand F: Financial Literacy
The knowledge and skills needed to make informed financial decisions.