Eureka's School Maths - Topics Covered in Year 9

High School Maths Year 9

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Overview | Topics Covered | Features | Requirements

Topic 1 - Number

Order of Operations

Rational Numbers

Operations with Rational Numbers

Topic 2 - Indices

Index Notation

Index Laws

Negative Indices

Fractional Indices

Scientific Notation

Comparing Numbers Expressed in Scientific Notation

Calculations in Scientific Notation Using the Index Laws

Calculations in Scientific Notation Using the Calculator

Topic 3 - Time

Language Used To Tell Time

Units of Time

24-Hour Time and 12-Hour Time

Duration

World Time Zones

Australian Time Zones

New Zealand Time Zone

Daylight Saving Time

Timetable

Topic 4 - Percentages

Percentages

Converting from Percentages

Converting to Percentages

Percentage Increase and Decrease

Percentage of a Quantity

Expressing a Quantity as a Percentage of Another

Topic 5 – Consumer Arithmetic Earning & Investment

Wages and Overtime

Salary

Commission

Piecework

Bonus

Allowance

Holiday Loading

Deductions

Simple Interest

Compound Interest

Comparison of Simple Interest and Compound Interest

Topic 6 – Consumer Arithmetic Spending

Goods and Services Tax

Best Buy

Profit and Loss

Discounts

Paying with Cash

Lay-by

Buying on Terms

Deferred Payment

Interest-Free Terms

Topic 7 - Geomtery

Angles

Angles Associated with Parallel Lines

Triangles

Quadrilaterals

Solids

Convex and Concave Solids

Polyhedra

Platonic Solids (Regular Polyhedra)

Euler’s Formula

Representation of Solids

Tessellations

Topic 8 - Perimeter & Area

Perimeter

Perimeter of a Sector

Some Special Sectors

Perimeter of Composite Figures

Applications of Perimeter

Area

Area of a Sector

Applications of Area

Surface Area

Topic 9 - Algebra

Algebraic Terms

Four Operations

Four Laws of Algebra

Substitution in Algebraic Expressions

Expansion of Algebraic Expressions

Factorisation of Algebraic Expressions

Addition and Subtraction of Algebraic Fractions

Multiplication and Division of Algebraic Fractions

Topic 10 - Equations & Inequalities

Linear Equations

Equations with Pronumerals on One Side

Equations with Pronumerals on Both Sides

Problem Solving

Formulae

Inequalities

Graphing Inequalities

Topic 11 - Probability

Terms Used in Probability

Relative Frequency

Experimental Probability

Equally Likely Outcomes

Theoretical Probability

Probability Scale

Complementary Events

Representing Sample Spaces

Topic 12 - Geometric Construction

Bisecting Angles and Intervals

Construction of Angles

The Set Square

Construction of Triangles

Construction of Quadrilaterals

Construction of Circles

Topic 13 - Coordinate Geometry

Coordinates of a Point

Length of an Interval

Midpoint of an Interval

Graphs of Linear Relations

Sketching a Linear Graph

Horizontal and Vertical Lines

Gradient of a Line

Finding the Gradient of a Line

Graphs of Non-Linear Relations

The Parabola

Topic 14 - Data & Statistics

Introduction

Data

Data Collection

Range

Measures of Central Tendency

Dot Plot

Stem-and-Leaf Plot

Back-to-Back Stem-and-Leaf Plot

Frequency Distribution Table

Histogram and Frequency Polygon

Cumulative Frequency

Finding Mean and Median from a Frequency Table

Using a Calculator to find the Mean

Groups of Data

Histograms and Frequency Polygons Using Grouped Data

Cumulative Frequency Histograms and Polygons

Finding the Median from the Cumulative Frequency Polygon

Topic 15 - Trigonometry

Identifying and Naming the Sides of a Right-angled Triangle

Ratios of Sides in Similar Right-angled Triangles

Trigonometric Ratios

The Calculator in Trigonometry

Finding Angles of a Right-angled Triangle

Finding the Length of a Side of a Right-angled Triangle

Angles of Elevation and Depression

Directions and Bearings

Topic 16 - Location

Locus

Effect of Constraints