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 by many sources, for example, www.khanacademy.org

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