NSW Year 9 Maths Advanced - Coursebook

Free Example Download Here

NSW Year 9 Advanced Coursebook

Covering the whole NSW Year 9 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 9 Advanced Topics

This coursebook book resource consists of the following topics

1. Pythagoras Theorem
2. Working with Numbers
3. Algebra: Expanding and Factorising
4. Trigonometry
5. Indices and Scientific Notation
6. Properties of Geometric Figures
7. Equations
8. Earning Money
9. Coordinate Geometry and Graphs
10. Surface Area and Volume
11. Congruence and Similar Figures
12. Probability
13. Investigating Data
14. Quadratics

Sub Topics

Pythagoras Theorem

• Finding the Hypotenuse
• Finding the Shorter Side
• Surds and Irrational Numbers
• Simplifying Surds
• Adding and Subtracting Surds
• Multiplying and Dividing Surds
• Pythagoras' Theorem Problems
• Testing Right-Angled Triangles
• Pythagorean Triads

Working with Numbers

• Terminating and Recurring Decimals
• Converting Recurring Decimals to Fractions
• Operations with Percentages
• Percentages and Money
• Simple Interest
• Ratios and Rates
• Converting Rates

Algebra: Expanding and Factorising

• Multiply and Divide Algebraic Fractions
• Adding and Subtracting Algebraic Fractions
• Expanding and Simplifying
• Expanding Binomial Products
• Simple Factorising (Factorising Expressions)
  
• Factorising Special Binomial Products
• Factorising Quadratic Expressions
• Mixed Factorisations
• Factorising Algebraic Fractions

Trigonometry

• Trig Ratios
• Finding Unknown Side
• Finding Unknown Angle
• Finding a Side (Unknown Denominator)
• Angles of Elevation and Depression
• Bearings
• Trig Problems

Indices and Scientific Notation

• Multiplying and Dividing using Indices
• Zero Index
• Power of a Power
• Summary of Index Laws
• Negative Indices
• Fractional Indices
• Mixed Index Law Questions
• Scientific Notation
• Significant Figures

Properties of Geometric Figures

• Triangle Geometry
• Quadrilateral Geometry
• Angle Sum of Polygon
• Exterior Angle of Polygon
• Line and Rotational Symmetry
• Transformations on the Number Plane
• Networks
• Planar Graphs and Euler’s formula

Equations

• Variables on One Side
• Variables on Both Sides
• Equations with Brackets
• Using Formulae
• Equation Problems
• Equations with Algebraic Fractions
• Quadratic Equations
• Changing the Subject of a Formula

Earning Money

• Wages and Salaries
• Overtime
• Commission, Piecework and Leave Loading
• Income Tax
• PAYG and Net Pay

Coordinate Geometry and Graphs

• Length of an Interval
• Midpoints
• Gradient of a Line
• Graphing Linear Equations
• The Gradient / Intercept Equation
• Finding the Equation of a Line
• Solving Linear Equations Graphically
• Direct Proportion
• Applying Linear Equations
• Graphing ax^2+bx+ c
• Applications of Parabolas
• Graphs of Circles

Surface Area and Volume

• Metric Units
• Limits of Accuracy
• Accuracy of Measuring Instruments
• Perimeters and Areas of Composite shapes
• Areas of Quadrilaterals
• Circumferences and Areas of Circular shapes
• Surface Area of a Prism
• Surface Area of a Cylinder
• Volumes of Prisms and Cylinders
• Volumes of Pyramids and Cones

Congruence and Similar Figures

• Congruent Figures
• Tests for Congruent Triangles
• Congruent Triangle Proofs
• Similar Figures
• Properties of Similar Figures
• Scale Diagrams
• Areas of Similar Figures
• Tests for Similar Triangles

Probability

• Probability
• Relative Frequency
• Venn Diagrams
• Two-way Tables
• Two-step experiments

Investigating Data

• The Mean, Median, Mode and Range
• Histograms and Stem-and-Leaf Plots
• The Shape of a Distribution
• Comparing Data Sets
• Sampling and Types of Data
• Bias and Questionnaires

Quadratics

• Expanding Quadratic Expressions
• Factorising monic quadratic trinomials
• Factorising Non-Monic Quadratic Trinomials
• Factorising Special Binomial Products
• Factorising by Completing the Square
• Solving Quadratics by Factorising