VIC Year 10A Maths - Coursebook
VIC Year 10A Maths - Coursebook
VIC Year 10A Maths - Coursebook
VIC Year 10A Maths - Coursebook
VIC Year 10A Maths - Coursebook
VIC Year 10A Maths - Coursebook
VIC Year 10A Maths - Coursebook
VIC Year 10A Maths - Coursebook

VIC Year 10A Maths - Coursebook

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VIC Year 10A Coursebook

Covering the whole VIC year 10A curriculum, this coursebook has the following features

  • Worked Solutions - Every question has a fully worked solution. Just look in the back of the book. 
  • Hyperlinks (ebook only) - No more trying to find the worked solution, click on the question number and it will take you to the worked solution in the back of the book. 
  • VideosClick on or scan the QR code in each sub-topic and you will be taken directly to You Tube where the best videos have been selected for learning
  • Cut to the chase - understand the concepts that will accelerate you through the course.
  • Instant ebook- If you order the ebook, you will receive it within 5 minutes. 

VIC Year 10A Book Topics

This book contains 10 chapters and include the following topics:

  1. Indices and Surds
  2. Linear Relations
  3. Logarithms and Polynomials
  4. Statistics
  5. Trigonometry
  6. Probability
  7. Measurement
  8. Quadratic Expressions And Equations
  9. Geometry
  10. Parabolas and Other Graphs

Sub topics

Indices and Surds

  • Simplifying Surds
  • Adding and subtracting surds
  • Multiplying and dividing surds
  • Binomial products
  • Rationalising the denominator
  • Review of index laws
  • Power of a power
  • Zero Index
  • Negative indices
  • Rational indices
  • Scientific notation
  • Exponential equations
  • Graphs of exponentials
  • Exponential growth and decay
  • Compound interest
  • Comparing simple and compound interest

Linear Relations

  • Review of Algebra
  • Multiplying and Dividing Algebraic Fractions
  • Adding and Subtracting Algebraic Fractions
  • Solving Linear Equations
  • Linear Inequalities
  • Graphing Straight Lines
  • Finding an Equation of a Line
  • Length and Midpoint of a Line Segment
  • Perpendicular and Parallel Lines
  • Simultaneous Equations Using Substitution
  • Simultaneous Equations Using Elimination
  • Further Applications of Simultaneous Equations

Logarithms and Polynomials

  • Introducing Logarithms
  • Laws of Logarithms
  • Solving Exponential Equations Using Logarithms
  • Introducing Polynomials
  • Expanding and Simplifying Polynomials
  • Division of Polynomials
  • The Remainder and Factor Theorems
  • Solving Polynomial Equations
  • Graphs of Polynomials

Statistics

  • Collecting and Using Data
  • Review of Statistical Graphs
  • Summary Statistics
  • Box Plots
  • Standard Deviation
  • Time-Series Data
  • Bivariate Data and Scatter Plots
  • Line of Best Fit by Eye
  • Linear Regression Using Technology

Trigonometry

  • Trigonometric Ratios
  • Finding Unknown Sides
  • Finding Unknown Sides (in Denominator)
  • Finding Unknown Angles
  • Applications Using Angles of Elevation And Depression
  • Bearings
  • Applications In Three Dimensions
  • The Sine Rule
  • The Cosine Rule
  • Area of a Triangle
  • The Unit Circle
  • Graphs of Trigonometric Functions

Probability

  • Review of Probability
  • Unions and Intersections
  • The Addition Rule
  • Conditional Probability
  • Two-step Experiments Using Tables
  • Using Tree Diagrams
  • Independent Events

Measurement

  • Review of Length
  • Pythagoras’ Theorem
  • Review of Area
  • Surface Area of Prisms and Cylinders
  • Surface Area of Pyramids and Cones
  • Volume of Prisms and Cylinders
  • Volume of Pyramids and Cones
  • Surface Area and Volume of Spheres

Quadratic Expressions And Equations

  • Expanding Expressions
  • Factorising Expressions
  • Factorising Monic Quadratic Trinomials
  • Factorising Non-Monic Quadratic Trinomials
  • Factorising By Completing The Square
  • Solving Quadratic Equations Using Factorisation
  • Applications of Quadratics
  • Solving Quadratic Equations By Completing The Square
  • Solving Quadratic Equations Using The Quadratic Formula

Geometry

  • Review of Geometry
  • Congruent Triangles
  • Investigating Parallelograms Using Congruence
  • Similar Figures
  • Proving and Applying Similar Triangles
  • Circles and Chord Properties
  • Angle Properties of Circles: Theorems 1 and 2
  • Angle Properties of Circles: Theorems 3 and 4
  • Tangents to a Circle
  • Intersecting Chords, Secants and Tangents

Parabolas and Other Graphs

  • Exploring Parabolas
  • Sketching Parabolas Using Transformations
  • Sketching Parabolas Using Factorisation
  • Sketching Parabolas By Completing The Square
  • Sketching Parabolas Using The Quadratic Formula
  • Applications of Parabolas
  • Intersection of Lines And Parabolas
  • Graphs of Circles
  • Graphs of Hyperbolas
  • Further Transformations of Graphs

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