Covering the whole NSW year 10 Advanced 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.
Videos - Click 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.
NSW Year 10 Advanced Topics
This book contains 16 chaptersand contains the following topics
Algebra Review
Surds
Earning Money
Straight Line Graphs
Measurement
Indices
Trigonometry
Quadratics
Probability
Simultaneous Equations
Single Variable and Bivariant Statistics
Geometric Figures
Logarithms and Polynomials
Circle Geometry
Non-Linear Relationships, Functions And Their Graphs
Networks
Subtopics
Algebra Review
Adding and Subtracting Algebraic Fractions
Multiplying and Dividing Algebraic Fractions
Equations with Fractions
Equation Problems
Solving Inequalities
Graphing Inequalities
Surds
Simplifying Surds
Rational and Irrational Numbers
Adding and Subtracting Surds
Multiplying and Dividing Surds
Binomial Products
Rationalising the Denominator
Earning Money
Earning an Income
Income Tax
Simple Interest
Compound Interest
Term Payments
Depreciation
Straight Line Graphs
Length of an Interval
Midpoint of an Interval
Gradient of an Interval
Parallel and Perpendicular Lines
Equation of Lines
Graphing Linear Equations
Finding the Equation of a Line Graphically
Measurement
Converting Units
Accuracy of measuring instruments
Pythagoras Theorem in 3D
Area of Triangles, Quadrilaterals,
Area of Circles and Sectors
Surface area of Prisms
Surface area of Cylinders
Surface area of Pyramids
Surface area of Cones
Volume of Prisms and Cylinders
Volume of Pyramids and Cones
Surface Area and Volume of Spheres
Indices
Multiplication and Division index Laws
Power of a power
Zero and Negative Indices
Scientific Notation
Fractional Indices
Exponential Equations
Trigonometry
Trigonometric Ratios
Finding Angles
Finding Unknown Sides
2D Applications
Bearings
3D Trigonometry
Obtuse Angles and Exact Values
Sine Rule
Cosine Rule
Area Rule
The Four Quadrants
Graphs of Trig Functions
Quadratics
Expanding expressions
Factorising monic quadratic trinomials
Factorising non-monic quadratic trinomials
Factorising Special Binomial Products
Factorising by completing the square
Solving Quadratics by Factorising
Solving Quadratics by the Quadratic Formula
Solving Quadratics by Completing the Square
Solving Higher Order Quadratics by Substitution
Using Quadratics to Solve Problems
Probability
Basic concepts
Venn Diagrams
Two-Way Tables
Mutually and Non-Mutually Exclusive Events
Conditional Probability
Arrays and Two-Step Experiments
Tree Diagrams
Dependent and Independent Events
Sampling with Replacement in tree diagrams
Sampling without Replacement in tree diagrams
Simultaneous Equations
Substitution
Elimination
Graphically
Non-Linear
Simultaneous Equations Problems
Single Variable and Bivariant Statistics
Shapes of Distributions
Quartiles and Inter Quartile Range
Boxplots
Parallel Boxplots
Standard Deviation
Comparing Means and Standard Deviations
Comparing Data Sets
Scatter Plots
Line of Best Fit
Bivariant Data
Geometric Figures
Basic Geometry
Congruent Triangles
Similar Figures
Similar Triangles
Logarithms and Polynomials
Logarithms Basics
Logarithm Graphs
Logarithm Laws
Solving Equations using Logarithms
Polynomials
Expanding Polynomials
Dividing Polynomials
Remainder Theorem
Factor Theorem
Factoring Polynomials to find Zeros
Graphs of Polynomials
Circle Geometry
Circle Facts
Angle Properties of Circles
Tangent Properties
Secant Properties
Non-Linear Relationships, Functions And Their Graphs
