Year 10 Mathematical Methods further builds on the mathematical skills and practice undertaken in Year 9 with content covering the six strands: Number, Algebra, Measurement, Geometry, Statistics and Probability. Within each content strand students aim to demonstrate proficiency in Understanding, Fluency, Problem Solving and Reasoning.
Core Units of Study:
- Linear Algebra
- Linear Functions
- Trigonometry
- Geometric Reasoning
- Probability
- Simultaneous Equations
- Quadratic Algebra (Expansion and Factorisation)
- Quadratic Equations
- Indices
- Circle Geometry
- Non-Linear Functions
- Statistics
- Real Numbers
Learning Standards:
- Simplification of algebraic products and quotients using index laws
- The solution of problems involving linear equations
- The ability to make the connections between algebraic and graphical representations of relations
- Finding unknown values after substitution into formulae
- Performing the four operations with simple algebraic fractions
- Using trigonometry to calculate unknown sides & angles in right-angled triangles
- Solving right-angled triangle problems involving direction and angles of elevation and depression
- Solving linear simultaneous equations, using algebraic and graphical techniques including using digital technology
- The ability to expand binomial expressions and factorise quadratic expressions
- Solve a wide range of quadratic equations derived from a variety of contexts
- Describing, interpreting and sketching parabolas, hyperbolas and circles and their transformations
- Defining rational and irrational numbers and performing operations with surds and fractional indices
- Using the definition of a logarithm to establish and apply the laws of logarithms
- Application of the rules of circle geometry and trigonometry to determine unknown angles and lengths
Assessment:
Assessment will be based on the completion of a variety of tasks including:
- Workbook Activities
- Homework Tasks
- Problem Solving and Reasoning Activities
- Topic Tests
- Examinations
Contribution to class and completion of class work may also be considered.
Prerequisites:
N/A
Recommendations:
It is recommended the student has an overall average score of 60% or above in Year 9 Mathematics.
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