QLD Year 9 Maths - Coursebook

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QLD Year 9 Coursebook

Covering the whole QLD year 9 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. 
  

QLD Year 9 Book Topics

This book resource consists of the following topics

1. Number and Financial Mathematics
2. Linear and Simultaneous Equations
3. Pythagoras Theorem and Trigonometry
4. Linear Relations
5. Measurement
6. Indices and Surds
7. Geometry
8. Algebraic Techniques
9. Probability and Statistics
10. Introduction to Quadratic Equations and Graphs

Sub Topics

Number and Financial Mathematics

• Integer Operations
• Decimals and Significant Figures
• Rational Numbers
• Operations with Fractions
• Ratios, Rates and Best Buys
• Percentages and Money
• Percentage Increase and Decrease
• Profits and Discounts
• Income and Taxation
• Simple Interest
• Compound Interest

Linear and Simultaneous Equations

• Algebraic Expressions
• Simplifying Algebraic Expressions
• Expanding Algebraic Expressions
• Solving Linear Equations
• Equations with Brackets and Pronumerals on Both Sides
• Solving Word Problems
• Inequalities
• Using Formulas
• Simultaneous Equations : Substitution
• Simultaneous Equations : Elimination
• Applications of Simultaneous Equations

Pythagoras Theorem and Trigonometry

• Pythagoras' Theorem
• Finding the Length of the Shorter Side
• Applying Pythagoras' Theorem
• Pythagoras' Theorem in 3D
• Trigonometric Ratios
• Finding Side Lengths
• Solving for the Denominator
• Finding an Angle
• Applying Trigonometry
• Bearings

Linear Relations

• Introduction to Linear Relations
• Graphing Straight Lines Using Intercepts
• Lines with One Intercept
• Gradient
• Gradient and Direct Proportion
• Gradient-Intercept Form
• Finding the Equation of a Line
• Midpoint and Length of a Line Segment
• Parallel and Perpendicular Lines
• Linear Modelling
• Graphical Solutions to Simultaneous equations

Measurement

• Length and Perimeter
• Circumference and Perimeter of a Sector
• Area
• Composite Shapes
• Surface Area of Prisms and Pyramids
• Surface Area of a Cylinder
• Volume of Prisms
• Volume of a Cylinder

Indices and Surds

• Index Notation
• Index Laws 1 and 2
• Index Law 3 and Zero Power
• Index Laws 4 and 5
• Negative Indices
• Scientific Notation
• Scientific Notation using Significant Figures
• Fractional Indices and Surds
• Simple Operations with surds

Geometry

• Angles and Triangles
• Parallel Lines
• Quadrilaterals and Other Polygons
• Congruent Triangles
• Using Congruence in Proof
• Enlargement and Similar Figures
• Similar Triangles
• Proving and Applying Similar Triangles

Algebraic Techniques

• Expanding Binomial Products
• Perfect Squares and Difference of Perfect Squares
• Factorising Algebraic Expressions
• Factorising the Difference of Perfect squares
• Factorising by Grouping
• Factorising monic quadratic trinomials
• Factorising Non Monic Quadratic Trinomials
• Simplifying Algebraic Fractions: Multiplication and Division
• Simplifying Algebraic Fractions: Addition and Subtraction
• Further Simplification of Algebraic Fractions
• Equations with Algebraic Fractions

Probability and Statistics

• Probability Review
• Venn Diagrams and Two-Way Tables
• Using Set Notation
• Using Arrays for Two-Step Experiments
• Tree Diagrams
• Experimental Probability
• Summarising Data: Measures of Centre
• Stem-and-Leaf Plots
• Grouped Data
• Measures of Spread
• Box Plots

Introduction to Quadratic Equations and Graphs

• Quadratic Equations
• Solving ax^2+bx=0 and x^2=d
• Solving x^2+bx+c=0
• Applications of Quadratic Equations
• The Parabola
• Sketching y=ax^2 with Dilations and Reflections
• Sketching Translations of y=x^2
• Sketching Parabolas Using Intercept Form