NSW Y9 Maths 5.1

New South Wales Year 9 5.1 Topics

Below are the topics that sit within New South Wales Year 9, 5.1 mathematics. When you click on a certain topic, you will be take to all the subtopics.

• Integers, Decimals, Fractions, Ratios and Rates
  Sub Topics:

  • Adding and Subtracting Positive and Negative Integers
  • Multiplying and Dividing Positive and Negative Integers
  • Decimal Places and Significant Figures
  • Rational Numbers and Irrational Numbers
  • Adding and Subtracting Fractions
  • Multiplying and Dividing Fractions
  • Ratios
• Financial Mathematics
  Sub Topics:

  • Percentages, Fractions and Decimals
  • Applying Percentages
  • Percentage Increase and Decrease
  • Profits and Discounts
  • Income
  • Taxation
  • Simple Interest
  • Applications of Simple Interest
• Expressions and Equations
  Sub Topics:

  • Algebraic Expressions
  • Adding and Subtracting Algebraic Expressions
  • Multiplying and Dividing Algebraic Expressions
  • Expanding Algebraic Expressions
  • Linear Equations with Pronumerals on One Side
  • Equations with Pronumerals on Both Sides
• Right Angled Triangles
  Sub Topics:

  • Exploring Pythagoras Theorem
  • Finding the Length of the Hypotenuse
  • Finding the Lengths of the Shorter Sides
  • Using Pythagoras Theorem to solve Two-Dimensional Problems
  • Introducing the Trigonometric Ratios
  • Finding Unknown Sides
  • Solving for the Denominator
  • Finding Unknown Angles
  • Using Trigonometry to Solve Problems
• Linear Relationships
  Sub Topics:

  • Introducing Linear Relationships
  • The x-Intercept and y-intercept
  • Lines with Only One Intercept
  • Gradient
  • Gradient-Intercept Form
  • Midpoint and Length of a Line from Diagrams
  • Introducing Non-Linear Relationships
• Length, Area, Surface Area and Volume
  Sub Topics:

  • Length and Perimeter
  • Circumference of Circles and Perimeter of Sectors
  • Area of Quadrilaterals and Triangles
  • Area of Circles
  • Perimeter and Area of Composite Shapes
  • Surface Area of Prisms
• Indices
  Sub Topics:

  • Index Notation
  • Index Laws for Multiplying and Dividing
  • The Zero Index and Power of a Power
  • Index Laws Extended
  • Negative Indices
  • Scientific Notation
  • Scientific Notation Using Significant Figures
• Properties of Geometrical Figures
  Sub Topics:

  • Angles and Triangles
  • Parallel Lines
  • Quadrilaterals
  • Enlargement and Similar Figures
  • Similar Triangles
  • Applying Similar Triangles
• Probability and Single Variable Data Analysis
  Sub Topics:

  • Probability Review
  • Venn Diagrams and Two-Way Tables
  • Using Relative Frequencies to Estimate Probabilities
  • Using Range and Measures of Centre
  • Interpreting Data from Tables and Graphs
  • Stem-and-Leaf Plots