General Mathematics Units 1&2

Study Design
Unit Materials
VCAA Resources
Changelog

VCAA Study Design Unit 1
Unit 1 - Introduction
Unit 1 - Areas of Study
Unit 1 - Mathematical Investigation
Unit 1 - Outcome 1
Unit 1 - Outcome 2
Unit 1 - Outcome 3
Unit 1 - Assessment

VCAA Study Design Unit 2
Unit 2 - Introduction
Unit 2 - Areas of Study
Unit 2 - Mathematical Investigation
Unit 2 - Outcome 1
Unit 2 - Outcome 2
Unit 2 - Outcome 3
Unit 2 - Assessment

General Mathematics Changes 2023

VCE Information and Study Tips
General Mathematics Units 1&2 Course Map (pdf) 2016-2022
Suggested Course Outline for General Mathematics 1&2 2016-2022

What I Need for VCE General Mathematics Units 1&2

General Mathematics Units 1&2 Self-Quizzing Flashcards (pdf) 2016-2022

Greek Alphabet

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

General File Explorer

VCAA General Mathematics

Bound Reference Specifications
VCAA Formula Sheet Modified for Units 1&2 (2016-2022)

General Mathematics Implementation Videos
Advice for Teachers (2016-2022)
Planning: Sample Course, Employability Skills, Resources
Sample Learning Activities

Sample SAC (2016-2022)
Assessment: Scope of Tasks, Sample SACs, Performance Descriptors

Unit 1
Unit 2

Quick Links:
Area of Study 1 - Data Analysis, Probability, and Statistics: Investigating and Comparing Data Distributions
Area of Study 2 - Algebra, Number, and Structure: Arithmetic and Geometric Sequences, First-Order Linear Recurrence Relations, and Financial Mathematics
Area of Study 3 - Discrete Mathematics: Matrices
Area of Study 4 - Functions, Relations, and Graphs: Linear Functions, Graphs, Equations, and Models

Area of Study 1 - Data Analysis, Probability, and Statistics

Investigating and Comparing Data Distributions
Study Design
Investigating and Comparing Data Distributions Summary

Notes
Videos & Interactives
Questions
Exam Questions

Types of Data and Measurement Scales
Categorical Distributions
Numerical Distributions
Measures of Centre and Spread
The Five-Number Summary and Boxplots
Percentage between Standard Deviations of the Mean
Association between Numerical and Categorical Variables

Investigating and Comparing Data Distributions Technology
TI-nSpire
Casio

Types of Data (Maffs Guru Video)
Nominal, ordinal, interval and ratio data: How to Remember the differences (NurseKillam Video)
Displaying and describing categorical data distributions (Maffs Guru Video)
Interpreting and describing frequency tables and bar charts (Maffs Guru Video)
Displaying and describing numerical data (Maffs Guru Video)
Characteristics of distributions of numerical data (Maffs Guru Video)
Dot plots and Stem and Leaf plots (Maffs Guru Video)
Boxplots (Maffs Guru Video)
Boxplots (GeoGebra Interactive)
Resistance of Mean and Median (GeoGebra Interactive)

Comparing the distribution of a numerical variable across two or more groups (Maffs Guru Video)

Mean from a Frequency Table (Minimally Different)
Quartiles (mathworksheets4kids)
Five-Number Summary (mathworksheets4kids)
Boxplots (Corbettmaths)
Box-and-Whisker Plot (mathworksheets4kids)
Box-and-Whisker Plot Worded (mathworksheets4kids)
Read and Interpret the Boxplot 1 (mathworksheets4kids)
Read and Interpret the Boxplot 2 (mathworksheets4kids)
Make and Interpret the Boxplot (mathworksheets4kids)
Outliers (mathworksheets4kids)

Solutions to past VCAA 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.

Types of Data
Categorical Data Distributions & The Mode
Numerical Data - Dot Plots, Stem Plots, and Histograms
Numerical Data - Boxplots, Fences, and Outliers
Numerical Data - Mean and Standard Deviation
Back-to-Back Stem Plots & Parallel Boxplots

Area of Study 2 - Algebra, Number, and Structure

Arithmetic and Geometric Sequences, First-Order Linear Recurrence Relations, and Financial Mathematics
Study Design
Arithmetic and Geometric Sequences, First-Order Linear Recurrence Relations, and Financial Mathematics Summary

Notes
Videos & Interactives
Questions
Exam Questions

Ratios and Rates
Percentages of Amounts
Financial Percentage Increase and Decrease

Number Patterns and Sequences
Displays of Sequences and their Behaviour

The Arithmetic Sequence
Arithmetic Applications
Time-Value of Money (TVM) Finance Solver

The Geometric Sequence
Geometric Applications
TVM Finance Solver for Geometric Applications

Inflation
Purchase Options

Arithmetic and Geometric Sequences, First-Order Linear Recurrence Relations, and Financial Mathematics Technology
TI-nSpire
Casio

Number Patterns (MaffsGuru Video)
Arithmetic sequence applications (MaffsGuru Video)
Using a recurrence relationship with arithmetic sequences (MaffsGuru Video)
Geometric sequences (MaffsGuru Video)
Geometric sequence applications (MaffsGuru Video)
Using a recurrence relation to generate and analyse a geometric sequence (MaffsGuru Video)
Using recurrence relationships to model growth and decay (MaffsGuru Video)

Unitary Methods (Maffs Guru Video)
Ratio and Proportion (Maffs Guru Video)
Expressing ratios in their simplest form (Maffs Guru Video)
Dividing quantities in a given ratio (Maffs Guru Video)
Percentages (Maffs Guru Video)
Percentage increase and decrease (Maffs Guru Video)

Percentages and applications (Maffs Guru Video)
Simple interest (Maffs Guru Video)
Rearranging the simple interest formula (Maffs Guru Video)
Simple Interest and Flat Rate Depreciation Calculator (GeoGebra Interactive)
Compound Interest and Reducing Balance Depreciation Calculator (GeoGebra Interactive)
TVM Calculator (GeoGebra Interactive)

Generating Sequences from the nth Term (Minimally Different)
Is a Term in a Given Sequence (Minimally Different)
Linear Patterns, Formula, Tables and Graphs (Starting Points Maths)
Linear Sequences - Structured Variation Grid (Maths Bot)
Linear Sequences (Maths Bot)
Sequences (Corbettmaths)
Sequences (Corbettmaths Exam Style)
Straight-Line Graphs and Sequences (Mr Day Maths)
nth Term of a Sequence (Corbettmaths)
nth Term of a Geometric Sequence (Variation Theory)
nth term with Cuisenaire Rods (Purposeful Maths)
Recurrence Relations (Starting Points Maths)
Sequences of Patterns (Corbettmaths)
Sequences - Patterns (Corbettmaths Exam Style)
Compound Interest and Depreciation (Variation Theory)
Compound Interest (Corbettmaths)
Compound Interest (Corbettmaths Exam Style)
Compound Interest (Mathsbot Completion Table)

Percentage Practice (Interactive Practice)
Percentage Practice 2 (Interactive Practice)
Percentage Change (Corbettmaths Exam Style)
Percentages of an amount and increasing/decreasing (Corbettmaths Exam Style)
Expressing as a Percentage (Corbettmaths Exam Style)
Expressing Numbers as a Percentage (Variation Theory)

Solutions to past VCAA 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.

First Order Recursion Relations
Recursion (Applications)
Recursion (Finance)
Using Rules (Applications)
Using Rules (Interest)
Using Rules (Depreciation)
Graphs of Sequences
Type of Sequence and Common Differences and Ratios

Ratios
Inflation
GST
Percentage Change
Shares
Simple Interest
Bank Accounts
Compound Interest
Purchase Options

Area of Study 3 - Discrete Mathematics

Matrices
Study Design
Matrices Summary

Notes
Videos & Interactives
Questions
Exam Questions

Matrices and the Order of a Matrix
Elements of a Matrix
Elementary Matrix Operations
Matrix Representation of Numerical Information
Diagonal Matrices and Costing and Pricing Problems
Communication Matrices
Identity Matrices and the Inverse of a Matrix
Determinant and Inverse of a Matrix Manually (Optional)
Systems of Linear Equations
Transition Matrices and Diagrams
Matrix Recurrence Relations

Matrices Technology
TI-nSpire
Casio

Solutions to past VCAA 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.

Numerical Information in Matrices
Order and Elements of Matrices
Matrix Arithmetic
Matrix Arithmetic Applications
Communication
Inverse Matrix
Systems of Linear Equations

Transition Matrices and Diagrams
Matrix Recursion S_(n+1)=TS_n
Steady State / Equilibrium State / Long Term

Area of Study 4 - Functions, Relations, and Graphs

Linear Functions, Graphs, Equations, and Models
Study Design
Linear Functions, Graphs, Equations, and Models Summary

Notes
Videos & Interactives
Questions
Exam Questions

Linear Functions
Tables of Values
Sketching Linear Graphs
Formulation and Analysis of Linear Models
Determining the Equation of a Straight Line
Linear Equations
Simultaneous Linear Equations
Piecewise Linear Graphs

Linear Functions, Graphs, Equations, and Models Technology
TI-nSpire
Casio

Sketching Linear Graphs y=mx+c (Interactive Practice)
Sketching Linear Graphs ax+by=c 1 (Interactive Practice)
Sketching Linear Graphs ax+by=c 2 (Interactive Practice)
Matching Verbal Statements to Algebraic Statements (Interactive Practice)
Verbal to Algebraic (Interactive Practice)
Sketch a Piecewise Function involving Linear Segments (Dr Frost Maths)

Solutions to past VCAA 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.

Determining and Using Linear Equations
Constructing and Using Linear Graphs
Developing Formulas and Substituting into Formulas
Simultaneous Linear Equations
Word Problems and Linear Equations
Word Problems and Simultaneous Linear Equations
Using and Interpreting Line Segment Graphs
Using and Interpreting Step Graphs

Quick Links:
Area of Study 1 - Data Analysis, Probability, and Statistics: Investigating Relationships between Two Numerical Variables
Area of Study 2 - Discrete Mathematics: Graphs and Networks
Area of Study 3 - Functions, Relations, and Graphs: Variation
Area of Study 4 - Space and Measurement: Space, Measurement, and Applications of Trigonometry

Area of Study 1 - Data Analysis, Probability, and Statistics

Investigating Relationships Between Two Numerical Variables
Study Design
Investigating Relationships between Two Numerical Variables Summary

Notes
Videos & Interactives
Questions
Exam Questions

Response and Explanatory Variables
Scatterplots: Association between Numerical Variables
Correlation vs. Causation
Lines of Good Fit
Interpreting a Line of Good Fit
Predicting with a Line of Good Fit

Investigating Relationships Between Two Numerical Variables Technology
TI-nSpire
Casio

Response and explanatory variables (Maffs Guru Video)
Scatterplots and their construction (Maffs Guru Video)
Scatterplots: Displaying Bivariate Numerical Data (Joel Speranza Math Video)
Interpreting Scatterplots: Association, Strength, & Outliers (Joel Speranza Math Video)
How to interpret a scatterplot (Maffs Guru Video)

Scatterplot from Correlation (GeoGebra Interactive)
Correlation and Causation (Khan Academy Video)

Spurious Correlations (Tyler Vigen Article)

Scatterplots (Corbettmaths)
Scatterplots (Corbettmaths Exam Style)
Scatter Diagrams (MathsHKO)
Scatter Plots: Correlation Strength (Variation Theory)
Direction, Strength, and Form of Scatterplots (Worksheet)

Solutions to past VCAA 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.

Response and Explanatory Variables
Association between Numerical Variables: Scatterplots
Correlations vs. Causation
Draw the Line of Best Fit
Determine the Equation of the Line of Best Fit
Using and Analysing the Line of Best Fit

Area of Study 2 - Discrete Mathematics

Graphs and Networks
Study Design
Graphs and Networks Summary

Notes
Videos & Interactives
Questions
Exam Questions

Graphs
Euler's Formula for Planar Graphs

Traversable Graphs
Exploring Problems - Eulerian Trails and Circuits
Travelling Problems - Hamiltonian Paths and Cycles

Networks and the Shortest Path Problem

Trees and Spanning Trees
Minimum Connector Problems

Rediscovering Euler's Formula with a Mug (not that Euler's Formula) (3Brown1Blue Video)
Euler's Formula and Graph Duality (3Brown1Blue Video)

The Bridges of Konigsberg

Introduction (Eddie Woo Video)
Digging Deeper into the Problem (Eddie Woo Video)
Understanding Basic Network Theory (Eddie Woo Video)

Solutions to past VCAA 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.

Constructing Graphs and Networks
Features of Graphs and the Degree of a Vertex
Matrix Representation of Graphs
Euler's Formula and Planar Graphs
Types of Graphs and Walks
Exploring and Travelling Problems
Shortest Path Problems
Minimum Connector Problems

Area of Study 3 - Functions, Relations, and Graphs

Variation
Study Design
Variation Summary

Notes
Videos & Interactives
Questions
Exam Questions

Variation and Proportion
Orders of Magnitude
The Log (Base 10) Scale
Transformation to Linearity
Modelling Non-Linear Data
Modelling Data with the Logarithmic Function

Variation Technology
TI-nSpire
Casio

Logarithms (Maffs Guru Video)
Logarithms, Explained (TED-Ed Video)

Area of Study 4 - Space and Measurement

Space, Measurement, and Applications of Trigonometry
Study Design
Space, Measurement, and Applications of Trigonometry Summary

Notes
Videos & Interactives
Questions
Exam Questions

Approximations, Decimal Places, and Significant Figures (Maffs Guru Video)
Significant Figures (Khan Academy Video)
Significant Figures Calculator (Omni Calculator Interactive)
Conversion of Units (Maffs Guru Video)

Surface Area of a Cylinder (Eddie Woo Video)
Surface Area Cones and Spheres (Joel Speranza Math Video)
Formula for the Volume of a Cone (James Tanton Video)
Finding the Surface Area of Spheres and Hemispheres (Eddie Woo Video)
Volume of a Sphere (Eddie Woo Video)

Bearings

Compass Bearings (Eddie Woo Video)
True Bearings (Eddie Woo Video)
Converting Between Forms (Eddie Woo Video)

True Bearings (GeoGebra Interactive)
Compass Bearings (GeoGebra Interactive)
Compass Bearings: Distance and Angle (GeoGebra Interactive)
True Bearings: Distance and Angle (GeoGebra Interactive)
Bearings: Dynamic Illustrator (GeoGebra Interactive)

Ambiguous Case (SSA) Illustrator: All Cases (GeoGebra Interactive)
Cosine Rule (GeoGebra Interactive)

Solutions to past VCAA 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.

Angles
Linear Scale Factor
Area & Perimeter
Area of a Triangle using Included Angle
Surface Area and Volume
Right Angled Triangles in Two Dimensions
Bearings using Right Angled Triangles
Area of a Triangle using Included Angle
Non-Right Angled Triangles
Bearings using Non-Right Angled Triangles
Linear Scale Factor for Areas and Volumes

VIC MATHS NOTES

General Mathematics ​Units 1&2

​Area of Study 1 - Data Analysis, Probability, and Statistics

Area of Study 2 - Algebra, Number, and Structure

Area of Study 3 - Discrete Mathematics

Area of Study 4 - Functions, Relations, and Graphs

Area of Study 1 - Data Analysis, Probability, and Statistics

Area of Study 2 - Discrete Mathematics

Area of Study 3 - Functions, Relations, and Graphs

Area of Study 4 - Space and Measurement

General Mathematics Units 1&2

Area of Study 1 - Data Analysis, Probability, and Statistics