Foundation Maths
Foundation Maths
Units 1- 4
Units 1- 4
Embedded Files
Foundation Mathematics Units 1–4 provide for the continuing mathematical development of students with respect to problems encountered in practical contexts in everyday life at home, in the community, at work and in study.
Foundation Mathematics Units 1 - 2
Foundation Mathematics Units 1 - 2
Foundation Mathematics Units 1 and 2 focus on providing students with the mathematical knowledge, skills, understanding and dispositions to solve problems in real contexts for a range of workplace, personal, further learning, and community settings relevant to contemporary society. They are also designed as preparation for Foundation Mathematics Units 3 and 4 and contain assumed knowledge and skills for these units.
Area of Study 1
Area of Study 1
Algebra, number and structure
In this area of study, students cover estimation, and the use and application of different forms of number and related calculations in practical, everyday and routine work contexts.
Area of Study 2
Area of Study 2
Data analysis, probability and statistics
In this area of study, students cover collection, presentation and analysis of gathered and provided data from community, work, recreation and media contexts, including consideration of suitable forms of representation.
Area of Study 3
Area of Study 3
Discrete mathematics
Financial and consumer mathematics
In this area of study, students cover the use and interpretation of different forms of numbers and calculations, and their application in relation to the understanding and management of personal, local and national financial matters.
Area of Study 4
Area of Study 4
Space and measurement
In this area of study, students cover time, and the use and application of the metric system and related measurements in a variety of domestic, societal, industrial and commercial contexts.
Mathematical investigation
Mathematical investigation
This comprises one to two weeks of investigation into one or two practical or theoretical contexts or scenarios based on content from areas of study and application of key knowledge and key skills for the outcomes.
Investigation is to be incorporated in the development of concepts, skills and processes for the unit, and can be used to assess the outcomes.
There are three components to mathematical investigation:
There are three components to mathematical investigation:
Formulation
Exploration
Communication
Outcome 1
On completion of this unit, the student should be able to use and apply a range of mathematical concepts, skills and procedures from selected areas of study to solve practical problems based on a range of everyday and real-life contexts.
Outcome 2
On completion of this unit, the student should be able to apply mathematical processes in non-routine practical contexts, including situations with some open-ended aspects requiring investigative, modelling or problem-solving techniques or approaches, and analyse and discuss these applications of mathematics.
Outcome 3
On completion of this unit, the student should be able to apply computational thinking and use numerical, graphical, symbolic and statistical functionalities of technology to develop mathematical ideas, produce results and carry out analysis in practical situations requiring investigative, modelling or problem-solving techniques or approaches.
Assessment
Assessment
Satisfactory completion
The award of satisfactory completion for a unit is based on the teacher’s decision that the student has demonstrated achievement of the set of outcomes specified for the unit. Demonstration of achievement of outcomes and satisfactory completion of a unit are determined by evidence gained through the assessment of a range of learning activities and tasks. Schools will report a student’s result for each unit to the VCAA as S (Satisfactory) or N (Not Satisfactory).
Levels of achievement
Units 1 and 2
Procedures for the assessment of levels of achievement in Units 1 and 2 are a matter for school decision. Assessment of levels of achievement for these units will not be reported to the VCAA. Schools may choose to report levels of achievement using grades, descriptive statements or other indicators.
Click on the link to take you to the VCAA site.
Units 3 and 4: Foundation Mathematics
Units 3 and 4: Foundation Mathematics
Foundation Mathematics Units 3 and 4 focus on providing students with the mathematical knowledge, skills and understanding to solve problems in real contexts for a range of workplace, personal, further learning, community and global settings relevant to contemporary society. The areas of study for Units 3 and 4 are ‘Algebra, number and structure’, ‘Data analysis, probability and statistics’, ‘Discrete mathematics’ and ‘Space and measurement’. All four areas of study are to be completed over the two units, and content equivalent to two areas of study covered in each unit. The selected content for each unit should be developed using contexts present in students’ other studies, work and personal or other familiar situations, and in national and international contexts, events and developments.
Area of Study 1
Area of Study 1
Algebra, number and structure
In this area of study, students cover estimation, the use and application of different forms of numbers and calculations, algorithmic and computational thinking, and the representation of formal mathematical expressions and processes including formulas and other algebraic expressions to solve practical problems in community, business and industry contexts.
Area of Study 2
Area of Study 2
Data analysis, probability and statistics
In this area of study, students cover collection, presentation and analysis of gathered and provided data from community, work, recreation and media contexts, including consideration of suitable forms of representation and summaries. This area of study incorporates the ability to critically reflect on statistical data and results, and to be able to communicate and report on the outcomes and any implications.
Area of Study 3
Area of Study 3
Discrete mathematics
Financial and consumer mathematics
In this area of study, students cover the use and application of different forms of numbers and calculations, relationships and formulae, and their application in relation to the analysis of, and critical reflection on, personal, local, national and global financial, consumer and global matters.
Area of Study 4
Area of Study 4
Space and measurement
In this area of study, students cover the use and application of the metric system and related measurement in a variety of domestic, societal, industrial and commercial contexts, including consideration of accuracy, precision and error.
Assessment of levels of achievement
Assessment of levels of achievement
The student’s level of achievement for Units 3 and 4 will be determined by a combination of School-assessed Coursework and an External assessment. The School-assessed Coursework will contribute 60 per cent and the examination will contribute 40 per cent to the study score.
Unit 3
School-assessed Coursework for Unit 3 will contribute 40 per cent to the study score.
Unit 4
School-assessed Coursework for Unit 4 will contribute 20 per cent to the study score. Each area of study is to be covered in at least one of the three mathematical investigations across Units 3 and 4.
The examination will be completed under the following conditions:
· Duration: 2 hours.
· Student access to a scientific calculator will be assumed.
· One bound reference text (which may be annotated) or lecture pad may be brought into the examination.
There are three components to mathematical investigation:
There are three components to mathematical investigation:
Formulation
Overview of the context or scenario, and related background, including historical or contemporary background as applicable, and the mathematisation of questions, conjectures, hypotheses, issues or problems of interest.
Exploration
Investigation and analysis of the context or scenario with respect to the questions of interest, conjecture or hypotheses, using mathematical concepts, skills and processes, including the use of technology and application of computational thinking.
Communication
Summary, presentation and interpretation of the findings from the mathematical investigation and related applications.
Possible contexts or scenarios
Some possible contexts or scenarios for investigation include: analysis of pandemic data, climate change modelling/analysis, financial life stage planning, financial operations of a community organisation, workplace or industry related modelling or investigation of mathematics used on-the-job, financial and economic risk, gender pay gaps, public health outcomes such as vaccination programs, construction of an object according to a design brief, and production numbers and costs, and sales income of a product in terms of break-even points.
Report abuse