Essential Mathematics Year 10

This is the course outline for the Year 10 course.

Darren Smyth
By Darren Smyth: Content Creator
  • Last updated Aug. 13, 2021
  • English

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In Year 10, Students continue to develop strong mathematical skills and a positive attitude toward using mathematics in practical and theoretical contexts. They apply scientific notation in measurement, consider accuracy, and work with absolute, relative, and percentage errors across various measurement tasks.

They use the real number line as a continuous scale to model real numbers, locate fractions precisely, and develop an understanding of some irrational square roots using Pythagoras’ theorem.

Students model real-world phenomena with linear and quadratic functions, make predictions, and represent these relationships using tables, graphs, and algebra, supported by digital tools. They manipulate algebraic expressions involving variables and exponents, and expand or factorise simple quadratic expressions using different techniques and digital resources.

They formulate and solve both linear and non-linear equations exactly or approximately, using numerical, graphical, and algebraic approaches. In measurement, they solve surface area and volume problems, applying formulas to find dimensions and related quantities.

Using similarity, scale, trigonometry, enlargement, the triangle inequality, and Pythagoras’ theorem, they solve a range of practical geometric problems.

In probability, they explore compound events from two-step experiments, represent probabilities with tools such as Venn diagrams, tree diagrams, and two-way tables, and design experiments to gather data and check reasoning against empirical results.

In statistics, students compare multiple data subsets in context, analyse distributions for symmetry and skew, and justify their choice of data representation based on context and data type. They also critically evaluate how others present data and related arguments.

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Darren Smyth
Content Creator

Darren is a brilliant educator, who has spent his 30+ years in education doing all he can to find the best ways to deliver and explain Mathematics content to ensure that every student he teaches excels. These videos are a small snapshot of the work he does to help as many students succeed.

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  • Videos51
  • Skill LevelIntermediate
  • LanguageEnglish