Foundation Mathematics Units 3&4

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​Area of Study 1 - Algebra, Number, and Structure
Area of Study 2 - Data Analysis, Probability, and Statistics
Area of Study 3 - Discrete Mathematics
Area of Study 4 - Space and Measurement

• Study Design
• Unit Materials
• VCAA Resources
• Exam Report Summaries
• Changelog

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VCAA Study Design
Introduction
​Areas of Study
Outcome 1
​Outcome 2
Outcome 3
School-Based Assessment
​External Assessment

VCE Information and Study Tips

​General CAS Information [TI-nSpire]
General CAS Information [Casio]
​TI Student Webinars

Moving from Foundation 1&2 to 3&4

Units 3&4 Foundation File Explorer

VCAA Foundation Mathematics​

Foundation Mathematics Examination Information
Bound Reference Specifications
Formula Sheet
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Planning: Sample Course, Employability Skills, Resources 
Sample Learning Activities

Assessment: Scope of Task, Sample Approaches to SACs, Performance Descriptors 
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Past Exams and Examination Reports
​​Northern Hemisphere Past Exams and Examination Reports
Multiple Choice Answer Sheet 
Authorised materials and equipment
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Previous Years Grade Distributions (Click Year, Click Section 3, Click Subject)

​Foundation Mathematics Examinations
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Foundation Mathematics VCAA Recommendations
​Algebra, Number, and Structure VCAA Recommendations
​Data Analysis, Probability, and Statistics VCAA Recommendations
​Discrete Mathematics VCAA Recommendations
​Space and Measurement VCAA Recommendations

 

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Area of Study 1 - Algebra, Number, and Structure

Study Design
Algebra, Number, and Structure Summary

• Notes
• Video & Interactives
• Exam Questions
• Questions

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Rational Numbers and Measurement
Irrational Numbers and Measurement
Ratios
Ratios and Change
Rates
Percentages

Direct and Indirect Variation
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Expressions and Equations
Balancing Equations
Manipulation and Transposition of Formulas
Simultaneous Linear Equations

Significant Figures
Rounding, Floor and Ceiling Values
​Estimation

Solutions to past VCAA exam questions can be looked up in the appropriate examiner's report on the Foundation Mathematics Past Examinations and Examination Reports page or the Northern Hemisphere Timetable (NHT) Past Examinations and Examination Reports page. 

​​​Ratio, Proportion, and Variation (2023-2027 Study Design Questions)
Expressions, Equations, and Formulas (2023-2027 Study Design Questions)
Simultaneous Equations (2023-2027 Study Design Questions)
Estimations and Approximations (2023-2027 Study Design Questions)

Solutions to past VCAA General Mathematics exam questions can be looked up in the appropriate examiner's report on the General Mathematics Past Examinations and Examination Reports page or the Northern Hemisphere Timetable (NHT) Past Examinations and Examination Reports page. Exam 1 is multiple choice. Exam 2 is short answer. 

Ratios
Percentage Change
Simultaneous Linear Equations
Word Problems and Simultaneous Linear Equations

Error Intervals (Mathematical Musings)

 

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Area of Study 2 - Data Analysis, Probability, and Statistics

Study Design
​Data Analysis, Probability, and Statistics Summary

• Notes
• Videos & Interactives
• Exam Questions
• Questions

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Types of Data
Practalities and Implications of Obtaining Data

Classic Representations of Data
Contemporary Representations of Data
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Measures of Centre
Measures of Spread
Cumulative Frequency and Percentiles
Shape of a Numerical Distribution
Outliers

Long-Term Data and Relative Frequencies

Lines of Good Fit and Predictions
Interpreting and Comparing Numerical Data Sets
Evaluating Statistical Studies

Solutions to past VCAA exam questions can be looked up in the appropriate examiner's report on the Foundation Mathematics Past Examinations and Examination Reports page or the Northern Hemisphere Timetable (NHT) Past Examinations and Examination Reports page. 

Representations of Data (2023-2027 Study Design Questions)
Measures of Central Tendency and Spread (2023-2027 Study Design Questions)
Long-Term Data and Relative Frequencies (2023-2027 Study Design Questions)
Interpreting and Comparing Data Sets (2023-2027 Study Design Questions)

Solutions to past VCAA General Mathematics exam questions can be looked up in the appropriate examiner's report on the General Mathematics Past Examinations and Examination Reports page or the Northern Hemisphere Timetable (NHT) Past Examinations and Examination Reports page. Exam 1 is multiple choice. Exam 2 is short answer. 

Measures of Centre and Spread​

 

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Area of Study 3 - Discrete Mathematics

Study Design
​Discrete Mathematics Summary

• Notes
• Videos & Interactives
• Exam Questions
• Questions

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Simple Interest
Purchase Options
Compound Interest
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Income Tax, Medicare Levy, and Superannuation
GST, Invoicing, and BAS

Comparison of Financial Products
Financial Risk and Returns
Financial Information and Economic Data​
Inflation

BAS Sample (ATO)
GST Calculation Worksheet for BAS (ATO)
Tax withheld for Individuals Calculator (ATO)
PAYG Instalments Individual Calculator (ATO)
PAYG Instalments Company Calculator (ATO)

Solutions to past VCAA exam questions can be looked up in the appropriate examiner's report on the Foundation Mathematics Past Examinations and Examination Reports page or the Northern Hemisphere Timetable (NHT) Past Examinations and Examination Reports page. 

​​​Money Management (2023-2027 Study Design Questions)
Taxation Systems (2023-2027 Study Design Questions)
Income and Expenditure (2023-2027 Study Design Questions)
Comparison of Financial Products (2023-2027 Study Design Questions)
Financial Information and Economic Data (2023-2027 Study Design Questions)

Solutions to past VCAA General Mathematics exam questions can be looked up in the appropriate examiner's report on the General Mathematics Past Examinations and Examination Reports page or the Northern Hemisphere Timetable (NHT) Past Examinations and Examination Reports page. Exam 1 is multiple choice. Exam 2 is short answer. 

Bank Accounts
GST
Purchase Options​​

 

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Area of Study 4 - Space and Measurement

Study Design​
Space and Measurement Summary ​

• Notes
• Videos & Interactives
• Exam Questions
• Questions

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Angles
Polygons and Polyhedra
Angle Sums of Polygons
Types of Triangles
Types of Quadrilaterals

Vectors and Translations
Rotations and Rotational Symmetry
Reflections and Reflectional Symmetry
Combinations of Transformations

Technical Drawings

Dilation (Enlargement and Reduction)
Similar Figures and Similar Triangles
Using Ratio and Scale Factors in Similar Figures
Areas and Volumes of Similar Figures and Objects

International System of Units (SI)
Metric System and Decimal Representations
Alternative Systems of Measure
Unit Conversions

Lengths and Perimeter
Right-Angled Trigonometry*
Area of Two-Dimensional Shapes
Surface Area and Volume

Calibration and Error

Bomb Blast Radius (Numberphile Video)
Cursed Units (Joesph Newton Video)

Solutions to past VCAA exam questions can be looked up in the appropriate examiner's report on the Foundation Mathematics Past Examinations and Examination Reports page or the Northern Hemisphere Timetable (NHT) Past Examinations and Examination Reports page. 
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​​​​Transformations, Similarity, Symmetry, and Projections (2023-2027 Study Design Questions)
Metric, Non-Metric, and Derived Measures (2023-2027 Study Design Questions)
Perimeter, Area, Surface Area, and Volume (2023-2027 Study Design Questions)
Calibration and Error (2023-2027 Study Design Questions)

Solutions to past VCAA General Mathematics exam questions can be looked up in the appropriate examiner's report on the General Mathematics Past Examinations and Examination Reports page or the Northern Hemisphere Timetable (NHT) Past Examinations and Examination Reports page. Exam 1 is multiple choice. Exam 2 is short answer. 
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Linear Scale Factor
Linear Scale Factor for Areas and Volume
Area & Perimeter
Surface Area and Volume

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