Year 8 Topic Guide
Note: Topics in red are extension level.
Pythagoras' Theorem
(Text ref: New Century Maths 8, Chapter 1)
1.01 - Square Roots and Surds
1.02 - Discovering Pythagoras' Theorem
1.03 - Finding the Hypotenuse
1.04 - Finding a Shorter Side
1.05 - Finding the Hypotenuse or a Shorter Side
1.06 - Testing for Right-angled Triangles
1.07 - Pythagorean Triads (Triples)
1.08 - Pythagoras' Theorem Problems
Working with Numbers
(Text ref: New Century Maths 8, Chapter 2)
2.01 - Mental Calculation
2.02 - Adding and Subtracting Integers
2.03 - Multiplying and Dividing Integers
2.04 - Order of Operations (BIDMAS)
2.05 - Decimals
2.06 - Multiplying and Dividing Decimals
2.07 - Terminating and Recurring Decimals
2.08 - Powers and Roots
2.09 - Factor Trees
2.10 - Product and Quotient Index Laws (Exponentiation Laws)
2.11 - Further Index Laws
Algebra
(Text ref: New Century Maths 8, Chapter 3)
3.01 - Pronumerals and Variables
3.02 - Converting Worded Statements to Algebraic Expressions
3.03 - Evaluating Algebraic Expressions using Substitution
3.04 - Collecting Variables
3.05 - Adding and Subtracting Terms
3.06 - Multiplying Terms
3.07 - Dividing Terms
3.08 - The Index Laws in Algebra (Extension)
3.09 - Expanding Expressions
3.10 - Factorising Algebraic Terms
3.11 - Factorising Expressions
3.12 - Factorising with Negative Terms
3.13 - Expanding Binomial Products (Extension)
Geometry
(Text ref: New Century Maths 8, Chapter 4)
4.01 - Angle Geometry
4.02 - Angles on Parallel Lines
4.03 - Line and Rotational Symmetry
4.04 - Classifying Triangles
4.05 - Classifying Quadrilaterals
4.06 - Properties of Quadrilaterals
4.07 - Angle Sums of Triangles and Quadrilaterals
4.08 - Angle Sum of a Polygon (Extension)
Area and Volume
(Text ref: New Century Maths 8, Chapter 5)
5.01 - Perimeter
5.02 - Metric Units for Area
5.03 - Areas of Rectangles, Triangles and Parallelograms
5.04 - Areas of Composite Shapes
5.05 - Area of a Trapezium
5.06 - Areas of Kites and Rhombuses
5.07 - Parts of a Circle
5.08 - Circumference of a Circle
5.09 - Area of a Circle ( A = π × r² )
5.10 - Perimeter and Area of a Sector
5.11 - Metric Units for Volume
5.12 - Volume of a Prism (V = A×h)
5.13 - Volume of a Cylinder ( V = π × r² × h )
5.14 - Volume and Capacity
Fractions and Percentages (%)
(Text ref: New Century Maths 8, Chapter 6)
6.01 - Fractions
6.02 - Adding and Subtracting Fractions
6.03 - Multiplying and Dividing Fractions
6.04 - Converting Between Percentages, Fractions and Decimals
6.05 - Fraction and Percentage of a Quantity
6.06 - Expressing Amounts as Fractions and Percentages
6.07 - Percentage Increase and Decrease
6.08 - Percentages without Calculators
6.09 - The Unitary Method
6.10 - Profit, Loss and GST
6.11 - Simple Interest (Extension)
6.12 - Percentage Problems
Investigating Data
(Text ref: New Century Maths 8, Chapter 7)
7.01 - Organising and Displaying Data
7.02 - Types of Data
7.03 - The Mean and Mode
7.04 - The Median and Range
7.05 - Analysing Frequency Tables
7.06 - Dot plots and Stem-and-leaf Plots
7.07 - Frequency Histograms and Polygons
7.08 - Comparing Data
7.09 - Sampling
7.10 - Designing Survey Questions
7.11 - Comparing Samples and Populations
Congruent Figures
(Text ref: New Century Maths 8, Chapter 8)
8.01 - Transformations
8.02 - Congruent Figures
8.03 - Constructing Triangles
8.04 - Tests for Congruent Triangles
8.05 - Proving Properties of Quadrilaterals
8.06 - Bisecting Intervals and Angles (Extension)
Probability
(Text ref: New Century Maths 8, Chapter 9)
9.01 - Probability
9.02 - Complementary Events
9.03 - Venn Diagrams
9.04 - Two-way Tables (Arrays)
9.05 - Probability Problems
9.06 - Relative Frequency (Experimental Probability)
Equations
(Text ref: New Century Maths 8, Chapter 10)
10.01 - One-step Equations
10.02 - Two-step Equations
10.03 - Equations with Variables on Both Sides
10.04 - Equations with Brackets
10.05 - Simple Quadratic Equations ( ax² = c )
10.06 - Equation Problems
10.07 - Equations and Formulas (Extension)
Ratios, Rates and Time
(Text ref: New Century Maths 8, Chapter 11)
11.01 - Ratios
11.02 - Ratio Problems
11.03 - Scale Maps and Plans
11.04 - Dividing a Quantity in a Given Ratio
11.05 - Rates
11.06 - Best Buys
11.07 - Rate Problems
11.08 - Speed
11.09 - Travel Graphs
11.10 - Sketching Informal Graphs
11.11 - Time Differences
11.12 - World Time Zones
Graphing Linear Equations
(Text ref: New Century Maths 8, Chapter 12)
12.01 - Tables of Values
12.02 - Finding the Rule
12.03 - Finding Rules for Number Patterns
12.04 - The Number Plane
12.05 - Graphing Number Patterns
12.06 - Graphing Linear Equations
12.07 - Finding the Equation of a Line
12.08 - Comparing Linear Equations
12.09 - Solving Linear Equations Graphically
12.10 - Intersecting Lines