Year 8 Mathematics

Year 8 Mathematics on VCE Vault: 16 lessons written for Year 8 (Victorian Curriculum), each with worked examples, practice questions and Aari, an AI tutor. The first 4 lessons are free; the whole subject is a one-off A$8.99.

Lessons

Number and Algebra

• Integers and Index Laws (free) — Operate with integers and apply the index laws for products, quotients and powers.
• Fractions, Decimals and Scientific Notation (free) — Operate with fractions and decimals, and express numbers in scientific notation.
• Percentages — Increase, Decrease and Reverse (free) — Calculate percentage increase/decrease, find original values and apply to financial problems.
• Rational Numbers and Real Numbers (free) — Classify numbers, operate with surds and locate irrationals on the number line.
• Rates, Ratios and Proportional Reasoning — Apply ratios, rates and proportional reasoning to multi-step real-world problems.

Linear Equations and Graphs

• Algebraic Manipulation — Expanding and Factorising — Expand binomial products and factorise algebraic expressions including common factors.
• Linear Equations and Inequalities — Solve multi-step linear equations and one-variable linear inequalities.
• Linear Graphs and Direct Proportion — Graph linear relationships using the gradient-intercept form and interpret their meaning.
• Simultaneous Equations — Solve simultaneous linear equations using substitution and elimination methods.

Measurement and Geometry

• Pythagoras' Theorem — Apply Pythagoras' theorem to find unknown sides in right-angled triangles.
• Circle Geometry — Circumference, Area and Arc — Calculate circumference, area, arc length and sector area for circles.
• Congruence and Similarity — Apply congruence and similarity to solve geometric problems involving scale.
• Volume and Capacity — Prisms and Cylinders — Calculate the volume of prisms and cylinders and convert between volume and capacity units.

Statistics and Probability

• Data Display — Histograms, Box Plots and Scatter Plots — Construct and interpret histograms, box plots and scatter plots.
• Probability — Compound Events and Tree Diagrams — Calculate probabilities of compound events using tree diagrams and two-way tables.

Algorithms and Computational Thinking

• Algorithms with Loops — Number Patterns, HCF and Spreadsheets — Design, test and refine algorithms that use loops to generate number patterns and linear relationships, and use Euclid’s algorithm to find the highest common factor.