Level 10

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Number and Algebra
Measurement and Geometry
Statistics and Probability
  • Curriculum
  • Changelog
  • Other
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Australian Mathematics Competition (Australian Maths Trust AMT)
Past Maths Competition and Olympiad Papers Archives (Australian Maths Trust AMT)
AMC Past papers: PDF (Australian Maths Trust AMT)

Growing Mathematically: Multiplicative Thinking (Australian Association of Mathematics Teachers Inc AAMT)
​Learning and Assessment Framework (LAF) (Australian Association of Mathematics Teachers Inc AAMT)
LAF Assessments (Australian Association of Mathematics Teachers Inc AAMT)
Post-LAF Teaching Tasks (Australian Association of Mathematics Teachers Inc AAMT)

Number and Algebra

Content Description
​Number and Algebra Summary
  • Notes
  • Videos & Interactives
  • Questions
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Real Numbers
Inverse Proportion (VCMNA327)
​Inverse Proportion 
Joint Proportion
​
​Money and Financial Mathematics
Compound Interest (VCMNA328)
Repeated Percentage Changes
Compound Interest 
TVM Finance Solver for Compound Interest 

Patterns and Algebra
Factorise Algebraic Factors (VCMNA329)
Factorising Common Algebraic Factors 
Factorising Common Binomial Factors 

Algebraic Products and Quotients using Index Laws (VCMNS330)
Algebraic Products and Quotients 

Operations with Algebraic Fractions (VCMNA331)
​Algebraic Fractions 

Expand Binomial Products and Factorise Monic Quadratics (VCMNA332)
​Binomial Products
Manipulating Quadratic Expressions

Substitute Into and Rearrange Formulas (VCMNA333)
​Substitution and Formulas 

Algorithms using Data Structures (VCMNA334)
Matrix Transformation 

​Linear and Non-Linear Relations
Solve Linear Equations including from Formulas (VCMNA335)
Word Problems from Linear Equations and Formulas 

Linear Inequalities (VCMNA336)
Linear Inequalities 
Solving Linear Inequalities 

Simultaneous Equations (VCMNA337)
Systems of Simultaneous Linear Equations 
Simultaneous Linear Equations Word Problems 

Gradients of Parallel and Perpendicular Lines (VCMNA338)
Parallel and Perpendicular Lines 

Quadratic, Reciprocal, Circle, and Exponential Equations and Graphs (VCMNA339)
Parabolas / Quadratic Functions
Circles
​Exponential Functions
Applications of Exponential Functions
​Hyperbolas

Solve Linear Equations involving Algebraic Fractions (VCMNA340)
Linear Equations involving Algebraic Fractions 

Solve Simple Quadratic Equations (VCMNA341)
​Quadratic Equations​ 

Solve Equations using Systematic Guess-Check-and-Refine (VCMNA342)
Systematic Guess-Check-and-Refine 
Real Numbers
Inverse Proportion (VCMNA327)
Direct and Indirect Proportion (Joel Speranza Math Video)
Proportionality Graphs (Corbettmaths Video)
Inverse Variation Example (Eddie Woo Video)
Proportion and Time (Corbettmaths Video)

​Inverse Variation
Money and Financial Mathematics
Compound Interest (VCMNA328)
Percentage Multipliers (MathsBot Interactive)
Compound Interest and Reducing Balance Depreciation Calculator (GeoGebra Interactive)
Growth and decay problems (BossMaths Interactive)
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Patterns and Algebra
Factorise Algebraic Factors (VCMNA329)

Algebraic Products and Quotients using Index Laws (VCMNS330)

Operations with Algebraic Fractions (VCMNA331)
Algebraic Fractions
Expand Binomial Products and Factorise Monic Quadratics (VCMNA332)
Expanding Binomial Products ​(Sine of the Times Interactive)
Factorable Quadratics (GeoGebra Interactive)
Factoring Expressions using Algebra Tiles (GeoGebra Interactive)
Difference of Two Squares Geometrically (Brilliant.org Video)
Beautiful Visual Explanation of Completing the Square (Eddie Woo Video)
Completing the Square (GeoGebra Interactive)
A Different Way to Solve Quadratic Equations (Expii Video)
​
Substitute Into and Rearrange Formulas (VCMNA333)
Rearranging Formulas (Joel Speranza Math Video)

Algorithms using Data Structures (VCMNA334)
you will never ask about pointers again after watching this video (Low Level Learning Video)

Linear and Non-Linear Relations
Solve Linear Equations including from Formulas (VCMNA335)
Interpreting Linear Functions
Reasoning with Linear Equations (Khan Academy Video)​
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Linear Inequalities (VCMNA336)
Sketching inequalities on a number line (Joel Speranza Math Video)
Solving Inequations (Joel Speranza Math Video)
Inequalities word problems (Khan Academy Video)

Simultaneous Equations (VCMNA337)
Intuition behind Operations to Solve Systems (Khan Academy Video)
Equivalent Systems (Khan Academy Video)
Solving Simultaneous Equations with Common Sense (Sine of the Times Interactive)
Writing simultaneous equations (a brutalist approach) (GeoGebra Interactive)
Simultaneous equations the elimination method (Joel Speranza Math Video)
Simultaneous equations the substitution method (Joel Speranza Math Video)

Simultaneous Equations
Forming Simultaneous Equations ​
Gradients of Parallel and Perpendicular Lines (VCMNA338)
Parallel Lines (GeoGebra Interactive)
​Perpendicular Lines (GeoGebra Interactive)
Parallel and perpendicular lines: Linear Equations (Joel Speranza Math Video)

Quadratic, Reciprocal, Circle, and Exponential Equations and Graphs (VCMNA339)
Review of Graphing Parabolas (Eddie Woo Video)
Graphing the Quadratic (Crash Course)​

​Basic Quadratic Function
The Circle​
Equation of a Translated Circle (Eddie Woo Video)
Graphing Circles - Completing the Square (Eddie Woo Video)
The Hyperbola - Understanding the Graph & its Behaviour (Eddie Woo Video)
Sketch Circles and Finding Equations of Circles (Eddie Woo Video)

Solve Linear Equations involving Algebraic Fractions (VCMNA340)

Solve Simple Quadratic Equations (VCMNA341)
Example Completing the Square (Khan Academy Video)
Different Ways to Complete the Square Example (Khan Academy Video)
​Deriving the Quadratic Formula (Eddie Woo Video)
​How to Use the Quadratic Formula (Khan Academy Video)​
​Quadratic Functions: What the Discriminant Tells You (Eddie Woo Video)
​Discriminant of Quadratic Equations (Khan Academy Video)
Common Mistakes when Solving Quadratic Equations (Khan Academy Video)

Solve Equations using Systematic Guess-Check-and-Refine (VCMNA342)

Real Numbers
Inverse Proportion (VCMNA327)
Inverse Proportion (x and y) (Variation Theory)
Inverse and Direct Proportion (MathsHKO)
Direct / Inverse Proportion (x and y) (Variation Theory)
Inverse Proportion (building a house) (Variation Theory)
​Direct and inverse proportion (Study Maths)
Direct and Inverse Proportion​ (Corbettmaths)
Direct and Inverse Proportion (Corbettmaths Exam Style)
DIRECT AND INVERSE PROPORTION (Dr Austin Maths)

​Money and Financial Mathematics
Compound Interest (VCMNA328)
Compound Interest and Depreciation (Variation Theory)
​Compound interest (Study Maths)
Compound Interest (Corbettmaths)
Compound Interest (Corbettmaths Exam Style)
Compound Interest: Fill in the gaps (Variation Theory)
Repeated Percentage Change With Multipliers (Mr Coward Maths)
Growth and decay problems (Boss Maths)
Compound Interest (Mathsbot Completion Table)

Patterns and Algebra
Factorise Algebraic Factors (VCMNA329)
Factorising Linear Expressions (Minimally Different)
HCF & LCM – Forwards & Backwards (Variation Theory)

Algebraic Products and Quotients using Index Laws (VCMNS330)
Laws of indices (Study Maths)
Index Laws (Corbettmaths Exam Style)
Simplifying Expressions: Multiplying and Dividing Terms (Variation Theory)
Algebraic Lowest Common Multiple (Minimally Different)

Operations with Algebraic Fractions (VCMNA331)
Adding and Subtracting Algebraic Fractions (Variation Theory)
Multiplying and Dividing Algebraic Fractions (Variation Theory)
Multiplying Algebraic Fractions (Corbettmaths)
Dividing Algebraic Fractions (Corbettmaths)
Introducing Algebraic Fractions with Division (Variation Theory)
Algebraic Fractions (Corbettmaths Exam Style)
​Substituting expressions into expression (Mr Coward Maths)
Algebraic Fractions (MathsHKO)

Expand Binomial Products and Factorise Monic Quadratics (VCMNA332)
Multiplying Binomials (Interactive Practice)
Expanding Binomials - Structured Variation Grid (Maths Bot)
Completing the Square (Monic) (Variation Theory)
​​Completing the Square (Interactive Practice)
Completing the square (Study Maths)
Completing the Square (Starting Points Maths)
Completing the Square – Backwards Fading (Starting Points Maths)
Multiplies to, Adds to (Positive) (Variation Theory)
Multiplies to, Adds to (Mixed) (Variation Theory)
Factorising into Double Brackets (Positive) (Variation Theory)
Factorising into Double Brackets (Positive 2) (Variation Theory)
Factorising into Double Brackets (Negative) (Variation Theory)
Factorising into Double Brackets (Mixed) (Variation Theory)
Factorising quadratic expressions (Study Maths)
Factorising Binomial Products (Interactive Practice)
Expanding Brackets with Algebra Tiles and Factorising Quadratics (Purposeful Maths)
Expanding and Factorising Quadratics (Variation Theory)
​Factorising Quadratics (Corbettmaths)
Difference between Two Squares (Corbettmaths)
difference of two squares (ii) (Don Steward's Median)
Difference of Two Squares - Pattern Spotting (Variation Theory)
Difference of Two Squares (Variation Theory)
Difference of two squares (Study Maths)
Simplifying Algebraic Fractions with Quadratics (Variation Theory)
How many brackets? (Variation Theory)
Finish factorising: double brackets (Variation Theory)
Expanding and Factorising Quadratics (Interwoven Maths Booklet)
Magic Multiplication Squares (MathsBot Interactive)

Substitute Into and Rearrange Formulas (VCMNA333)
Writing Formula (Variation Theory)
Substitution into Formula (Variation Theory)
Substitution - Part 2 (Variation Theory)
Rearranging the Formula: Is a the subject? (Variation Theory)​
Rearranging Formula (Variation Theory)​
​Changing the Subject (Corbettmaths)
Changing the Subject (Corbettmaths Exam Style)
Changing the Subject of a Formula (Variation Theory)
Standard Form to Slope-Intercept Form (Worksheet)
Rearranging Formulae (MathsHKO)
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Algorithms using Data Structures (VCMNA334)
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​Linear and Non-Linear Relations
Solve Linear Equations including from Formulas (VCMNA335)
Rearranging formula: Fill in the gaps (Variation Theory)
​
Linear Inequalities (VCMNA336)
Solving Inequalities (Variation Theory)
Inequalities (Corbettmaths)
Solving Inequalities (Corbettmaths)
Inequalities​​ (Corbettmaths Exam Style)
Representing Inequalities on a Number Line (Variation Theory)
Solving One-step Inequalities (Multiplying and Dividing) (Variation Theory)
Solving Two-step Inequalities (Variation Theory)
Solving One-step Inequalities (Mixed) (Variation Theory)
Solving Compound Inequalities (Variation Theory)
​Linear Inequality Generator (Positive Coefficients) (Interactive Practice)
​Linear Inequality Generator (Interactive Practice)
​​Solving Compound Inequalities (Minimally Different)
Inequalities (MathsBot Table)

Simultaneous Equations (VCMNA337)
Simultaneous Grids (MathsBot)
Invariance of solutions when adding equations (Mr Coward Maths)
Multiple Balances (Sketch CPD)
Simultaneous Equations Introduction - Bar Model (Variation Theory)
Simultaneous Equations: Ready to be Added or Subtracted? (Variation Theory)
Decide whether to add or subtract simultaneous equations (Mr Coward Maths)
Scaffolding simultaneous equations (Mr Coward Maths)
Eliminate y by Adding (Variation Theory)
Solving Simultaneous Equations (No Multiplying) (Variation Theory)
Make y the Same (Variation Theory)
Simultaneous Equations: The Final Step (Variation Theory)
Solving Linear Systems by Graphing (Interactive Practice)
Solving simultaneous equations by substitution (Study Maths)
Simultaneous Equations by Elimination (Starting Poins Maths)
Solving simultaneous equations by equating coefficients (Study Maths)
​Simultaneous Equations (Corbettmaths)
Simultaneous Equations: Graphical (Corbettmaths)
Linear Simultaneous Equations (Corbettmaths Exam Style)
Simultaneous Equations (Corbettmaths Exam Style)
Simultaneous Equations (Interwoven Maths)
Simultaneous Equations Booklet (Interactive Maths Booklet)
Linear Simultaneous Equations (Maths Bot Interactive Practice)
Four Operations Completion Tables (Interwoven Maths)

Gradients of Parallel and Perpendicular Lines (VCMNA338)
Recognising Relationships between Linear (Purposeful Maths)
Straight Line Graphs: Fill in the Gaps (Variation Theory)
Writing the Equation of Parallel & Perpendicular Lines (Interactive Practice)
Parallel or Perpendicular? Positive Integer Gradient (Variation Theory)
Gradients; Parallel, Perpendicular, Neither (Variation Theory)
Parallel and Perpendicular Lines (Corbettmaths)
Parallel and Perpendicular Lines (Corbettmaths Exam Style)
Linear Graphs: Parallel and Perpendicular Lines (Corbettmaths Exam Style)

Quadratic, Reciprocal, Circle, and Exponential Equations and Graphs (VCMNA339)
Drawing Quadratics (Corbettmaths Exam Style)
​Graphing Quadratic Equations in Vertex Form (Interactive Practice)
Co-ordinates of Turning Point from Completing the Square (Variation Theory)
Sketching Quadratics From Factorised Form (Variation Theory)
Turning Points (Starting Points Maths)
​Quadratic Graphs: Fill in the Gaps (Variation Theory)
Quadratics (Maths Bot)
Reciprocal Graphs (Corbettmaths Exam Style)
Circle Equation (Interactive Practice)
Circle Graph - EQ in Standard Form (Interactive Practice)
Equation of a Circle (Corbettmaths)

Solve Linear Equations involving Algebraic Fractions (VCMNA340)
​Solving Equations with Algebraic Fractions (Variation Theory)
Equations involving Fractions (Corbettmaths Exam Style)
Cross Multiplication (Corbettmaths Exam Style)

Solve Simple Quadratic Equations (VCMNA341)
Solve Quadratic Equations when Factorised (Variation Theory)
Quadratic Formula - Part 1 (Variation Theory)
Quadratic Formula - Part 2 (Variation Theory)
Quadratic Equation - You Complete Me (SSDD)
Quadratic Formula (Interactive Practice)
Completing the Square and Solving Quadratic Equations (Variation Theory)
Solving Quadratics by Factorising (Variation Theory)
Solving Quadratic Equations by Factorising (Study Maths)
Solving Quadratics by Factorising (Corbettmaths)
Solving Quadratics Graphically (Corbettmaths)
Solving Quadratic Equations Using Quadratic Formula (Interactive Practice)
Quadratic Equations (MathsHKO)
Quadratics - Quadratic Formula (Purposeful Maths)
Factorising Monic Quadratics: Fill in the gaps (Variation Theory)
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Solve Equations using Systematic Guess-Check-and-Refine (VCMNA342)
Trial and improvement (Study Maths)
Trial and Improvement (Corbettmaths)
Trial and Improvement (Corbettmaths Exam Style)
Iteration (Corbettmaths Exam Style)​
​
Big Mistake? (Mathsbox Review)​

Measurement and Geometry

Content Description
​Measurement and Geometry Summary
  • Notes
  • Videos & Interactives
  • Questions
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​Using Units of Measurement
Surface Area and Volume of Prisms, Cylinders, and Composite Solids (VCMMG343)
​Surface Area and Volume of Composite Solids 
​​
​Geometric Reasoning
Proofs involving Congruent Triangle and Angle Properties (VCMMG344)
Geometric Proof
Proofs of and using Line Segment and Angle Properties
Proofs of and using Triangle Properties and Congruence

Logical Reasoning to Proof and Numerical Exercises (VCMMG345)
Proofs of and using Similar Triangles
Proofs of and using Quadrilateral Properties

​Pythagoras and Trigonometry
Bearings and Angles of Elevation and Depression (VCMMG346)
Angles of Elevation and Depression 
​Bearings 
Using Units of Measurement
Surface Area and Volume of Prisms, Cylinders, and Composite Solids (VCMMG343)
Surface Area of a Cylinder (Eddie Woo Video)
​Unwrapping a Cylinder (GeoGebra Interactive)
​
​Geometric Reasoning
Proofs involving Congruent Triangle and Angle Properties (VCMMG344)
An introduction to mathematics theorems (TED-Ed Video)
Example Proving Triangle Congruence (Khan Academy Video)
​Proving that a Line Parallel to One Triangle Side Divides Other Sides Proportionately (Khan Academy Video)
Proving Congruent Triangles Worked Examples (Joel Speranza Math Video)

Formal Geometry Proofs
Logical Reasoning to Proof and Numerical Exercises (VCMMG345)

Pythagoras and Trigonometry
Bearings and Angles of Elevation and Depression (VCMMG346)
Right-Angled Triangle Trigonometry
Compass and True bearings and converting between them. (Joel Speranza Math Video)
Bearings and Trigonometry Worked Examples (Joel Speranza Math Video)
Measure the Earth’s Radius! (with this one complicated trick) (Stand-up Maths & Hannah Fry Video)

​Bearings
Compass Directions (Corbettmaths Video)
Bearings and Direction (PatrickJMT Video)
True Bearings (GeoGebra Interactive)
​Compass Bearings (GeoGebra Interactive)
​Compass Bearings: Distance and Angle (GeoGebra Interactive)
​True Bearings: Distance and Angle (GeoGebra Interactive)​
​Using Units of Measurement
Surface Area and Volume of Prisms, Cylinders, and Composite Solids (VCMMG343)
​Surface Area - Composite Rectangular Prisms (mathworksheets4kids)
Volume - Composite Rectangular Prisms (mathworksheets4kids)​

Geometric Reasoning
Proofs involving Congruent Triangle and Angle Properties (VCMMG344)
​Triangle Congruence Proofs (Katrina Newell)
Angles in Polygons with... (Mixed Questions) (Interwoven Maths)

Logical Reasoning to Proof and Numerical Exercises (VCMMG345)
Congruent Triangles​ (Corbettmaths Exam Style)
CanFigureIt Geometry: Proofs Simplified (Interactive Practice - Limited Free Login)

​Pythagoras and Trigonometry
Bearings and Angles of Elevation and Depression (VCMMG346)
Trigonometry (Corbettmaths Exam Style)
​Can this be a Bearing? (Variation Theory)
Bearings (CIMT page 9-12)
Bearings (Variation Theory)
Bearings (Don Steward)
Bearings and triangles (Jonathan Payne)
Bearings Calculating Digit Puzzle (Go Teach Maths)
Bearings Calculating Worksheet (Go Teach Maths)

Statistics and Probability

Content Description
​Statistics and Probability Summary
  • Notes
  • Videos & Interactives
  • Questions
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​Chance
Two- and Three-Step Experiments and Independence (VCMSP347)
Three Step Chance Experiments
​Independent and Dependent Events

Conditional Probability (VCMSP348)
​Conditional Probability 
The Law of Total Probability
​
Data Representation and Interpretation
Quartiles and Interquartile Range (VCMSP348)
​Quartiles 

Boxplots (VCMSP350)
​Five-Number Summary and Boxplots
Comparing Boxplots 

Shape of Boxplots and Cumulative Frequency (VCMSP351)
​Shape of a Distribution 
​Cumulative Frequency Distributions 

Scatterplots (VCMSP352)
​Scatterplots: Association between Numerical Variables 

Time Series (VCSMP353)
Time Series 

Evaluate Statistical Reports (VCSMP354)
​Evaluating Statistical Reports 
Chance
Two- and Three-Step Experiments and Independence (VCMSP347)
​Multi-Stage Probability Events
Conditional Probability (VCMSP348)
Two way tables and conditional probability (Joel Speranza Math Video)
Simulators (MathsWhiteboard Interactives)
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Data Representation and Interpretation
Quartiles and Interquartile Range (VCMSP349)
​​How to Calculate Interquartile Range IQR (Khan Academy Video)

Boxplots (VCMSP350)
​Boxplots (GeoGebra Interactive)
Interquartile Range and Box Plots (Boss Maths Interactives)
Five Number Summary Exploration (GeoGebra Interactive)

Shape of Boxplots and Cumulative Frequency (VCMSP351)
Cumulative Frequency
Scatterplots (VCMSP352)

Time Series (VCSMP353)

Evaluate Statistical Reports (VCSMP354)
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Chance
Two- and Three-Step Experiments and Independence (VCMSP347)
Venn Diagrams (Corbettmaths Exam Style)
Independent Events (Corbettmaths)
Independent Events (Corbettmaths Exam Style)
Tree Diagrams for Dependent Events (Dr Austin Maths)
Tree Diagrams for Dependent Events: Algebraic (Dr Austin Maths)

Conditional Probability (VCMSP348)
Conditional Probability (Corbettmaths)
​Conditional Probability (Corbettmaths Exam Style)
Conditional Probability with Asteroid Creatures (David Butler)
​
Data Representation and Interpretation
Quartiles and Interquartile Range (VCMSP349)
Quartiles (mathworksheets4kids)
​Finding the interquartile range (Study Maths)
Interquartile Range (MathsHKO)
Five-Number Summary (mathworksheets4kids)
​Dot Plot - How a Data Value Affects Statistics (Interactive)

Boxplots (VCMSP350)
​Box Plots: Increase, Decrease, Same? (Variation Theory)
Box-and-Whisker Plot (mathworksheets4kids)
Boxplots (Corbettmaths)
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)

Shape of Boxplots and Cumulative Frequency (VCMSP351)
Cumulative Frequency (MathsHKO)
Cumulative Frequency Graphs (Corbettmaths)
Cumulative Frequency and Boxplots (Corbettmaths Exam Style)
Linear Interpolation of Median and Quartiles (Corbettmaths)
Medians and Quartiles from Grouped Data (Interpolation) (Corbettmaths Exam Style)

Scatterplots (VCMSP352)
Scatterplots (Corbettmaths)
​Scatterplots (Corbettmaths Exam Style)
Scatter Diagrams (MathsHKO)
Scatter Plots: Correlation Strength (Variation Theory)
​Direction, Strength, and Form of Scatterplots (Worksheet)

Time Series (VCSMP353)
Time Series (MathsHKO)

Evaluate Statistical Reports (VCSMP354)