Preliminaries

Number

  • Arithmetic of the integers

  • Arithmetic of fractions

  • Decimals

  • Factors & multiples

  • Primes & the fundamental theorem of arithmetic

  • Percentages

  • Rates & ratios

  • The real numbers & the number line

 

Geometry

  • Angles & lines

  • The Cartesian plane

  • Triangles

  • Quadrilaterals & more general polygons

  • Circles

  • Transformations: reflections, rotations & translations.

  • Similarity & congruence.

  • Measurement: length, area & volume.

 

Algebra

  • Manipulating expressions with variables

  • Solving linear equations

  • Graphing linear equations

  • Inequalities

  • Roots & exponents

 

Probability

  • Scenarios with coins, dice & cards

  • Tree diagrams & Venn diagrams

  • Mean, median & mode

 

All of the above topics are covered in many sources, for example, www.khanacademy.org