Advanced Mathematics

Description

Year 10 Advanced Mathematics prepares students for Unit 1 & 2 Maths Methods. The course covers key concepts from Level 10 and Level 10A in the Victorian Curriculum and is organised around the interaction of content and proficiency strands. Through key activities such as the exploration, recognition and application of patterns, students develop the capacity for abstract thoughts.

Entry requirements:

• Teacher’s recommendation

• Class assessment data

• Work ethics

• Advanced Maths Entrance Examination (greater than 70%)

Learning Standards

In Number and Algebra

Students will:

• Solve problems involving linear equations, quadratic functions and systems of linear equations.

• Describe, interpret and sketch linear graphs, quadratic graphs, and their transformations.

• Solve unknown variables and apply substitution into equations.

• Manipulate linear and quadratic algebraic expressions.

• Understand the number system of rational and irrational numbers.

In Measurement and Geometry

Students will:

• Solve and explain surface area and volume problems relating to composite solids.

• Use parallel and perpendicular lines, understand properties of triangles and angles, apply the Pythagoras theorem, identify similarity of shapes, use trigonometry and congruence to solve practical problems and develop proofs.

In Statistics and Probability

Students will:

• List outcomes for multi-step chance experiments involving independent and dependent events and assign probabilities for these events.

• Use the language of ‘if’, ‘then’, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language.

Assessment

Students will:

• Complete assessment tasks on Linear Equations, Coordinate Geometry, Simultaneous Equations, Trigonometry, Indices and Surds, Probability, Quadratic Equations, Quadratic Graphs and Measurement.

• Complete semester exams.

Pathways

• Units 1 and 2 General Mathematics

• Units 1 and 2 Mathematical Methods

• Units 1 and 2 Specialist Mathematics

• Units 3 and 4 General Mathematics