VCE Specialist Maths flashcards
VCE Specialist Maths · Build recall with a focused review session.
32 cards. Read the term and the definition here. The deck at the top of this page is optional.
- Unit 1 areas of study
- Algebra, number and structure; and Calculus and functions (focus on functions, relations and graphs).
- Unit 2 areas of study
- Calculus and functions (focus on calculus); and Data analysis, probability and statistics.
- Unit 3 areas of study
- Discrete mathematics (matrices); and Functions, relations and graphs (transformations, inverses, complex numbers).
- Unit 4 areas of study
- Space and measurement (vectors); and Calculus (differential equations, kinematics, further integration).
- Outcome-based assessment
- Each unit has outcomes that integrate knowledge and skills; satisfactory completion requires demonstration of all outcomes.
- Units 1 and 2 assessment
- School-based and includes at least one task from each area of study; graded according to school policies.
- Units 3 and 4 assessment
- School-assessed Coursework (40%) and two end-of-year examinations (60%).
- Performance descriptors
- Descriptions of typical performance on a 5-point scale used to assess SACs consistently.
- Program sequencing
- Order areas of study across the year, allocating time for content introduction, practice, and assessment.
- Prerequisite knowledge
- Consider mathematical prerequisites from previous units; e.g., Unit 3 functions build on Unit 1 transformations.
- Key skills development
- Program should include opportunities to develop problem-solving, modelling, and use of technology.
- Variety in assessment
- Include tests, assignments, investigations that align with outcomes and performance descriptors.
- Technology integration
- Plan for CAS calculators and tasks that assess both with and without technology.
- Cross-curriculum priorities
- Incorporate general capabilities like literacy and numeracy where relevant in the program.
- Flexibility in program
- Allow for revision and extension while ensuring coverage of all content.
- Documenting the program
- Show sequence, teaching strategies, resources, and assessment timeline in a clear format.
- Active inquiry activities
- Engage students in modelling real-world phenomena with functions or matrices.
- Pseudocode purpose
- Describe algorithms for numerical methods without requiring a specific programming language.
- Pseudocode conventions
- Indentation for blocks; keywords IF, THEN, ELSE, WHILE, FOR; assignment with ← or =.
- Euler's method pseudocode
- INPUT x0, y0, h, n; FOR i FROM 1 TO n: y ← y + h*f(x,y); x ← x + h; OUTPUT x, y.
- Calculus teaching approach
- Connect graphical, numerical, and algebraic representations, e.g., exploring limits with tables and graphs.
- Matrices activities
- Use matrix multiplication to model transformations and solve systems of linear equations.
- Vectors activities
- Use dynamic geometry software to explore vector addition, scalar multiplication, and dot products.
- Probability simulations
- Simulate random experiments using technology and compare empirical with theoretical probabilities.
- SAC composition
- Typically includes at least one test and one application task, as specified by VCAA.
- Performance descriptors use
- Generic across the study; used to allocate a score on a 5-point scale for each outcome.
- Examination 1
- Short-answer and multiple-choice, no technology, 1 hour, contributes 20% to study score.
- Examination 2
- Multiple-choice and extended-answer, with technology, 2 hours, contributes 40% to study score.
- Examination content
- Covers Units 3 and 4 content, emphasising application of knowledge and skills.
- Examination specifications
- Detail format, number of questions, and mark allocation; published annually by VCAA.
- Assessment task design
- Tasks should allow students to demonstrate outcomes at a high level, including problem-solving and modelling.
- SAC score allocation
- Each SAC is assessed against performance descriptors and contributes to the coursework score.