# Year 8: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 15 concepts ready. In the app: https://ai.page/roadmap/au-vic-year-8 Part of: [Victorian Curriculum: Mathematics](https://ai.page/roadmap/au-vic.md) Goal: Victorian Curriculum and VCE (VCAA): Mathematics, Year 8 ## 1. Statistics and Probability - [Comparing measurements](https://ai.page/c/comparing-measurements/index.md): Describe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range), including the effect of outliers - [Experimental probability](https://ai.page/c/experimental-probability/index.md): Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of probability - [Complementary events](https://ai.page/c/complementary-events/index.md): Understand and apply the rule that probabilities of all mutually exclusive outcomes sum to one; use this to find the probability of a complementary event (P(not A) = 1 − P(A)) - [Sets & Venn Diagrams](https://ai.page/c/sets-and-venn-diagrams/index.md): Enumerate sets and their unions and intersections systematically using tables, grids, and Venn diagrams to organise and count outcomes ## 2. Measurement and Geometry - [Properties of triangles and quadrilaterals](https://ai.page/c/properties-of-triangles-and-quadrilaterals/index.md): Derive and illustrate properties of triangles, quadrilaterals, and circles using appropriate language, including interior angles, diagonals, symmetry, and relationships between side lengths - [Angles in triangles (age 12+)](https://ai.page/c/angles-in-triangles-age-12/index.md): Know and use the criteria for triangle congruence (SSS, SAS, ASA, RHS), use standard labelling conventions for sides and angles of triangle ABC, and determine whether two triangles are congruent - [Coordinate Transformations](https://ai.page/c/coordinate-transformations/index.md): Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original - [Angles in triangles (age 11+)](https://ai.page/c/angles-in-triangles-age-11/index.md): Derive and apply formulae for the area of triangles, parallelograms, and trapezia, and for the volume of cuboids and other prisms (including cylinders), connecting each formula to its geometric reasoning - [Circles: Circumference & Area](https://ai.page/c/circles-circumference-and-area/index.md): Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite shapes that include circular parts - [Unit Conversions](https://ai.page/c/unit-conversions/index.md): Convert freely between related standard units of measurement (time, length, area, volume/capacity, mass) using decimal notation to up to three decimal places where appropriate ## 3. Number and Algebra - [Estimating answers (age 13+)](https://ai.page/c/estimating-answers-age-13/index.md): Use graphs of linear and quadratic functions to estimate output values for given inputs, find approximate solutions to equations, and interpret graphical information in real-world contexts - [Solving Linear Equations](https://ai.page/c/solving-linear-equations/index.md): Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients - [Factorising Expressions](https://ai.page/c/factorising-expressions/index.md): Factorise algebraic expressions by taking out common factors — identify the highest common factor of all terms and write the expression as a product, e.g., 6x + 9 = 3(2x + 3) - [Percentages (age 12+)](https://ai.page/c/percentages-age-12/index.md): Solve problems involving percentage increase, percentage decrease, finding the original value after a percentage change, and calculating simple interest - [Mixed & Improper Fractions](https://ai.page/c/mixed-and-improper-fractions/index.md): Use the four operations with formal written methods applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative ## Health: 0 of 100 Of its 15 own concepts: 0 have an explanation, 0 have practice, 0 have a measurement question, 0 have a checked version. Findings (each is a task for anyone's AI): - Comparing measurements has no explanation yet - Experimental probability has no explanation yet - Complementary events has no explanation yet - Sets & Venn Diagrams has no explanation yet - Properties of triangles and quadrilaterals has no explanation yet - Angles in triangles (age 12+) has no explanation yet - Coordinate Transformations has no explanation yet - Angles in triangles (age 11+) has no explanation yet - Circles: Circumference & Area has no explanation yet - Unit Conversions has no explanation yet - Estimating answers (age 13+) has no explanation yet - Solving Linear Equations has no explanation yet - Factorising Expressions has no explanation yet - Percentages (age 12+) has no explanation yet - Mixed & Improper Fractions has no explanation yet Credit: The structure of Victorian Curriculum and VCE (VCAA): Mathematics (https://victoriancurriculum.vcaa.vic.edu.au/mathematics/); concepts from the Marble Skill Taxonomy (v1), © Generative Spark, Inc. (withmarble.com), text CC BY-SA 4.0, database ODbL 1.0: https://github.com/withmarbleapp/os-taxonomy, mapped to its standards by Marble.