Standard II: Patterns and Algebra

Standard III: Geometry: 2D and 3D

Standard V: Probability

Standard IV: Measurement

Mastery in Math Education

At different times and in different cultures and countries, mathematics education has attempted to achieve a variety of different objectives. These objectives have included:
The teaching of basic numeracy skills to all pupils. The teaching of practical mathematics (arithmetic, elementary algebra, plane and solid geometry, trigonometry) to most pupils, to equip them to follow a trade or craft
The teaching of abstract mathematical concepts (such as set and function) at an early age
The teaching of selected areas of mathematics (such as Euclidean geometry) as an example of an axiomatic system and a model of deductive reasoning
The teaching of selected areas of mathematics (such as calculus) as an example of the intellectual achievements of the modern world
The teaching of advanced mathematics to those pupils who wish to follow a career in science
The teaching of heuristics and other problem-solving strategies to solve nonroutine problems.
Methods of teaching mathematics have varied in line with changing objectives.

Drawn from Wikipedia on Mathematics Education, July 2006.