Australian Curriculum (F-10)

Maths – Grade 10

Number & Algebra

  • Operations with Integers

  • Fractions

  • Operations with Decimals and Percentages

  • Rational and Irrational Numbers

  • Scientific Notation

  • Polynomials, Factorization, and Equations

  • Rational Expressions and Equations

  • Expanding and Simplifying Algebraic Expressions

  • Solving Linear Equations and Inequalities

  • Identifying and Extending Patterns

  • Simplifying and Grouping Algebraic Terms

  • Factorising Common Factors

  • Binomial Product

  • Constants and Equations

  • Graph of Equations

  • Relationship Between Equations

  • Write and Solve Equations

  • Proportions

  • Indices and Exponents

  • Indices and Surds

Measurement & Geometry

  • Properties of Angles

  • Triangles

  • Properties of Quadrilaterals

  • Coordinate Geometry

  • Midpoint Formula

  • Distance Between Two Points

  • Parts of a Circle and Circumference

  • Area of a Circle and Area of a Sector

  • Solving Problems Involving Circumference

  • Area, Volume, and Surface Area

  • Volume of a Cylinder

  • Conversion Between Units of Measurement (Length, Area, Volume, Mass)

  • Perimeter, Area, and Volume Calculations

Trigonometry

  • Pythagoras’ Theorem

  • Complementary Angles and Trigonometric Formulae

  • Angles of Any Magnitude

  • Trigonometric Ratios

  • Trigonometric Ratios and Their Applications

Congruence & Similarity

  • Angle Relationships

  • Similar Triangles

  • Finding Missing Sides

  • Metric Relationships

Financial Mathematics

  • Interest and Compound Interest Calculations

  • Budgeting and Financial Planning

  • Understanding Loans, Credit, and Investments

Statistics

  • Collecting, Organizing, and Representing Data

  • Measures of Central Tendency: Mean, Median, Mode