Year 10 Mathematical Methods

TERTIARY & CAREERS PATHWAYS:

Secondary School Maths Teacher, Accounting, Surveying, Physiotherapist, Mechanical Engineering, Chemical Engineering, Electrical Engineering, Mechatronics Engineering, Aerospace Engineering, Actuarian, Medicine, Optometry, Dentistry, Pharmaceutical Science, Commerce, Aviation, Architecture

‍

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, Space, 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.