NSW Year 8 Maths - Coursebook

NSW Year 8 Maths - Coursebook

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NSW Year 8 Coursebook - For the Student

Covering the whole NSW year 8 curriculum, this coursebook has the following features

  • Worked Solutions - Click on the answer button or scan the QR code for fully worked  solutions
  • Videos Direct access to video tutorials for additional help
  • More Practice? - Extra practice questions, with fully worked solutions, available online
  • Theory - Theories and principles provided for relevant topics

    NSW Year 8 Book Topics

    This book contains 14 chapters in the following topics:

    1. Pythagoras
    2. Working with Numbers
    3. Algebra
    4. Equations
    5. Geometry
    6. Area and Perimeter
    7. Volume
    8. Fractions and Percentages
    9. Investigating Data
    10. Congruent Figures
    11. Probability
    12. Rates and Ratios
    13. Graphing Linear Equations
    14. Time and Travel

    Sub Topics

    Pythagoras

    • Calculations with Square Roots
    • Finding the Hypotenuse
    • Finding a Shorter Side
    • Testing for Right Angled Triangles
    • Testing for Pythagorean Triads
    • Mixed Problems
    • Pythagoras Word Problems

    Working with Numbers

    • Adding and Subtracting Integers
    • Multiplying Integers
    • Dividing Integers
    • Order of Operations
    • Decimals
    • Multiplying and Dividing Decimals
    • Terminating and Recurring Decimals
    • Power and Roots
    • Prime Factors
    • Index laws
    • Further Index laws

    Algebra

    • Adding and Subtracting Terms
    • Multiplying Terms
    • Dividing Terms
    • Index Laws for Multiplying and Dividing
    • Power of a Power
    • Zero Index
    • Mixed Index Laws
    • Expanding Expressions and Simplifying
    • Factorising Expressions
    • Factorising with Negatives
    • Algebraic Expressions
    • Substitution

    Equations

    • One Step Equations
    • 2 step equations
    • Equations with Brackets
    • Equations with Fractions
    • Harder Equations
    • Equation Problems
    • Simple Quadratic Equations

    Geometry

    • Angle Geometry
    • Angles on Parallel Lines
    • Classifying Triangles
    • Classifying Quadrilaterals
    • Properties of Quadrilaterals
    • Angle Sum of Triangles and Quadrilaterals
    • Angle Sum of Polygon

    Area and Perimeter

    • Perimeter
    • Metric Units for Measurement of Area
    • Area of Rectangles, Triangles and Parallelograms
    • Area of a Trapezium
    • Area of Kites and Rhombuses
    • Composite Areas and Problems on Areas
    • Parts of a Circle
    • Circumference
    • Arc Lengths
    • Arc Length Problems
    • Area of Circles
    • Area of Sectors

    Volume

    • Metric Units for Volume
    • Volume of a Prism
    • Composite Shapes for Volume
    • Volume of a Cylinder
    • Volume of Composite Cylinders
    • Volume and Capacity

    Fractions and Percentages

    • Adding and Subtracting Fractions
    • Multiplying and Dividing Fractions
    • Fraction Problems
    • Percentages, Fractions and Decimals
    • Fractions of a Quantity
    • Percentage of a Quantity
    • Expressing Amounts as Fractions and Percentages
    • Percentage Increase and Decrease
    • Non-Calculator Percentages
    • The Unitary Method
    • Profit, Loss and GST
    • Percentage Problems

    Investigating Data

    • Organising and Displaying Data
    • Types of Data
    • Mean and Mode
    • Median and Range
    • Analysing Frequency Tables
    • Dot Plots, Stem and Leaf Plots
    • Frequency Histogram and Polygons

    Congruent Figures

    • Transformations
    • Congruent Figures
    • Tests for Congruent Triangles
    • Congruent Triangle Proof
    • Proving Properties of Quadrilaterals

    Probability

    • Probability
    • Complementary Events
    • Venn Diagrams
    • 2 way tables
    • Probability Problems
    • Experimental Probability

    Rates and Ratios

    • Equivalent Ratios
    • Simplifying Ratios
    • Dividing Quantity into Given Ratio
    • Ratio Word Problems
    • Rates
    • Rate Problems

    Graphing Linear Equations

    • The Number Plane
    • Finding Rules for Number Patterns
    • Finding the Rule
    • Tables and Values
    • Graphing Linear Equations
    • Finding the Equation of a Line
    • Solving Equations Graphically
    • Intersecting Lines

    Time and Travel

    • International Time Zones
    • Scale Maps and Plans
    • Sketching Informal Graphs
    • Speed
    • Time Differences
    • Travel Graphs

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