Year 10 mathematics in Victoria
Here’s a list of topics covered in the Year 10 mathematics curriculum within the State of Victoria, Australia. This list might be out of date, or it might be missing some topics. I’m happy to add other topics as I become aware of them. The pedagogy contents in this post are based on Lynch and Parr [1] and Swan et al. [2].
Algebraic simplification
 Simplifying expressions involving addition and subtraction. For example,
 Simplifying algebraic expressions using the distributive law
 the binomial expansion
 difference of two squares
 perfect squares and
 Simplifying rational expressions
 addition of rational expressions
 subtraction of rational expressions
 multiplication of rational expressions
 division of rational expressions
Surds and indices
 Simplifying expressions involving surds
 addition of surds
 subtraction of surds
 multiplication of surds
 division of surds
 rationalizing the denominator
 Index form
 addition of indices
 subtraction of indices
 multiplication of indices
 negative indices for
 standard form , for example,
 th root
Factorization
Factorizing using the distributive law
 the binomial expansion
 difference of two squares
 perfect squares and
Problem solving using graphs of functions
Here’s a list of the graphs of some elementary functions. Problem solving questions should involve visualization of such graphs.
Length and area
 length
 unit conversion in the metric system
 Pythagoras’ Theorem: If , and are the lengths of the three sides of a rightangled triangle with being the length of the hypotenuse, then .
 distance between two points — given two points and , the distance between and is given by .
 the perimeter of geometric figures
 areas of common plane figures
 square —
 rectangle —
 parallelogram —
 triangle —
 trapezium —
 circle —
Descriptive statistics
 mean, median, mode
 graphical, diagrammatical emphasis
Trigonometry
 deducing values of angles

the SOHCAHTOA rules:
 SOH: Sine is Opposite over Hypotenuse
 CAH: Cosine is Adjacent over Hypotenuse
 TOA: Tangent is Opposite over Adjacent
 graphical, diagrammatical emphasis
References
 B. J. Lynch and R. E. Parr. Maths 10. Longman Sorrett, 2nd edition, 1982.
 K. Swan, R. Adamson, M. Cocking, D. Adams, and S. Ferguson, editors. Nelson Maths 10: VELS Edition. Thomson Nelson, 2007.
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Categories: education, mathematics
education, mathematics
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