Eureka’s High School Maths Home Tutor is like having a tutor at home 24/7, at a fraction of the cost.
Recommended by over 90% of parents and teachers. • Improves maths results by up to 50%. • • Complete and comprehensive.
Features
Fully interactive animated ‘Talking Tutor’ with • pause and rewind controls; Millions of randomly generated syllabus style • practice questions; Detailed step-by-step worked solutions; • Covers the entire year’s syllabus; •
Automatic storing and graphical display of • test results; Free updates using Eureka’s Live Updater; • Full colour reference book (over 200 pages); • and Full colour 48-page user manual.•
Tutorial Section
Syllabus topics are presented by an interactive animated ‘Talking Tutor’ with pause, forward and rewind functions enabling students to work at their own pace and take control of their learning.
Topic examples are explained in a clear and concise manner, each illustrated with detailed step-by-step explanations. Alternate methods and strategies with crucial ‘building-block’ review sections are also included for key topic areas.
After the completion of each lesson students can test and reinforce their knowledge by completing randomly generated questions. As each question is answered correctly, difficulty will progressively increase to build a strong foundation and increase confidence.
The content has been carefully designed to follow all Australian State and Territory high school maths curricula guidelines.
Each lesson is treated in a detailed, easy-to-understand fashion enabling students to review each topic section either on-screen, or in print.
Clear and detailed diagrams (including side notes) are used to fully explain the rules and principles of introduced mathematical concepts.
Box Packaging - Year 7, 8, 9 and 10Windows 98, ME, 2000,
NUMBERPlace Value + Expanded • NotationSymbols + Number Order• Abbreviations of Numbers• The Number Line• Roman Numerals• Order of Operations• The Language of Maths• Addition + Subtraction• Multiplication• Division• Estimation• Unitary Method•
DIRECTED NUMBERSIntroduction• Addition• Subtraction• Multiplication• Division• Order of Operations• Directed Number in Algebra•
ALGEBRANumber Patterns• Number Sentences• Multiplication of Pronumerals• Like Terms• Division of Pronumerals•
SPECIAL NUMBERS, FACTORS, MULTIPLES & PRIMES
Special Numbers• Primes + Composites• Square + Cube Numbers• Multiples• Lowest Common Multiple• Factors• Divisibility Testing•
FRACTIONSTerms• Addition + Subtraction • of FractionsMultiplication• Division•
AREA & VOLUMERevision• Area of Composite • FiguresAreas of Special • QuadrilateralsArea of a Circle• Area of an Annulus• Surface Area• Volume of Prisms, • Cylinders and Irregular SolidsCapacity + Mass of • Liquid
RATIOSIntroduction• Simplifying Ratios• Finding a Ratio of• Two QuantitiesIncreasing or • Decreasing a Quantity in a Given RatioThe Unitary Method• Dividing Quantities • in a Given RatioScale Drawings•
PYTHAGORAS’ THEOREM
Introduction• Finding Side Lengths• Proving a Triangle is • Right-AngledPythagorean Triple• Using the Calculator• Problem Solving•
CIRCLESCircle Properties• Diameter + Radius• Pi (• π)Circumference•
PERCENTAGESRevision• Finding a Percentage• of a QuantityExpressing One • Quantity as a Percentage of Another
LINEAR RELATIONSHIPS
The Number Plane• Coordinates• Linear + Number • PatternsFinding the Algebraic • RuleGraphing Lines + • Sketching Linear GraphsNon-linear Patterns•
EQUATIONSEquations• One-Step Equations• Two-Step Equations• Pronumerals on Both • Sides of an Equals SignEquations with • Grouping SymbolsEquations Containing • FractionsProblem Solving• Solving Simple • Inequalities
PROBABILITY AND CHANCE
Probability Scale• Probability • ExperimentFinding the Probability • of an EventSum of Probabilities• Complementary • EventsRepresenting Sample • Spaces
DATA AND STATISTICS
Introduction• Special Terms• Analysing Data• Frequency + • DistributionGroups of Data• Cumulative • FrequencyFrequency Graphs• Finding Mean + • Median from a TableStem-and-leaf Plot•
ALGEBRAAlgebraic Terms• Four Operations• Four Laws of Algebra• Substitution• Fractions in Algebra• Factorisation•
GEOMETRIC CONSTRUCTION
Polygons• Internal + External • Angle Sum of a PolygonBisecting Angles + • IntervalsConstructing Angles • of 30°, 60°, 90° and 120°Construction of • TrianglesThe Set Square• Transformations•
FINANCE AND APPLICATIONOF PERCENTAGES
Increasing + • Decreasing an Amount by a PercentageSimple Interest• Profit and Loss• Commission• Goods and Services • Tax (GST)
Order of Operations• Rational Numbers• Operations with Rational • Numbers
INDICESIndex Notation• Index Laws• Negative Indices• Fractional Indices• Scientific Notation• Comparing Numbers • Expressed in Scientific NotationCalculations in Scientific • Notation Using Index LawsCalculations in Scientific • Notation Using the Calculator
GEOMETRIC CONSTRUCTION
Bisecting Angles + • IntervalsConstruction of Angles• The Set Square• Construction of • TrianglesConstruction of • QuadrilateralsConstruction of Circles•
TRIGONOMETRYIdentifying + Naming • Sides of a Right-Angled TriangleRatios of Sides in Similar• Right-angled TrianglesTrigonometric Ratios• The Calculator in • TrigonometryFinding Angles of a• Right-Angled TriangleFinding Side Lengths of • a Right-Angled TriangleAngles of Elevation and • DepressionDirections + Bearings•
LOCATIONLocus• Effect of Constraints•
PERCENTAGESPercentages• Converting from • PercentagesConverting to • PercentagesPercentage Increase and • DecreasePercentage of a Quantity• Expressing One Quantity • as a Percentage of Another
EARNING & INVESTMENT
Wages and Overtime• Salary• Commission• Piecework• Bonus• Allowance• Holiday Loading• Deductions• Simple Interest• Compound Interest• Comparison of Simple • and Compound Interest
SPENDINGGoods and Services Tax • (GST)Best Buy• Profit and Loss• Discounts• Paying with Cash• Lay-by• Buying on Terms• Deferred Payment• Interest-Free Terms• Credit Cards•
Coordinates of a Point• Length of an Interval• Midpoint of an Interval• Graphs of Linear • RelationsSketching Linear Graphs• Horizontal + Vertical • LinesGradient of a Line• Graphs of Non-Linear • RelationsThe Parabola•
PROBABILITYTerms Used in • ProbabilityRelative Frequency• Experimental Probability • Equally Likely Outcomes• Theoretical Probability• Probability Scale• Complementary Events• Representing Sample • Spaces
DATA & STATISTICS
Data• Range• Measures of Central • TendencyDot Plot• Stem-and-Leaf Plot• Back-to-Back Stem-and-• Leaf PlotFrequency Distribution • TableHistogram + Frequency • PolygonCumulative Frequency• Finding Mean + Median • from a Frequency TableUsing a Calculator to • find the MeanGroups of Data• Histogram + Frequency • Polygon Using Grouped DataCumulative Frequency • Histogram + PolygonFinding the Median • from the Cumulative Frequency Polygon
EQUATIONS& INEQUALITIES
Linear Equations• Equations with • Pronumerals on One SideEquations with • Pronumerals on Both SidesProblem Solving• Formulae• Inequalities• Graphing Inequalities•
TIMELanguage Used to Tell • TimeUnits of Time• 24-Hour + 12-Hour Time• Duration• World Time Zones• Australian Time Zones• New Zealand Time Zone• Daylight Saving Time• Timetable•
ALGEBRAAlgebraic Terms• Four Operations• Four Laws of Algebra• Substitution in Algebraic • ExpressionsExpansion of Algebraic • ExpressionsFactorisation of • Algebraic ExpressionsAddition + Subtraction • of Algebraic FractionsMultiplication + Division • of Algebraic Fractions
PERIMETER, AREA & VOLUME
Perimeter• Perimeter of a Sector• Some Special Sectors• Perimeter of Composite • FiguresApplications of • PerimeterArea• Area of a Sector• Applications of Area• Surface Area• Volume•
Rational Numbers• Operations with • Rational NumbersEstimation with • Decimal NumbersApproximation with • Decimal NumbersSignificant Figures• Accuracy of Results• Recurring Decimals• Expressing Recurring • Decimals in Fractional
Form
INDICESIndex Notation• Index Laws• Negative Indices• Fractional Indices• Scientific Notation• Comparing Numbers • Expressed in Scientific NotationCalculations in • Scientific Notation Using Index LawsCalculations in • Scientific Notation Using the Calculator
CONSUMER ARITHMETIC
Simple Interest• Compound Interest• Compound Interest • FormulaComparison of Simple • and Compound InterestDepreciation• Budget• Profit + Loss• Discounts• Successive Discounts• Paying with Cash• Lay-by• Buying on Terms• Deferred Payment• Interest-Free Terms• Credit Cards• Loan Repayments•
COORDINATE
GEOMETRYCoordinates of a Point• Length of an Interval• Midpoint of an Interval• Gradient of a Line• Parallel Lines• Graphs of Linear • Relations
Sketching Linear • Graphs
Points Lying on a Line• Horizontal + Vertical • Lines
Gradient-Intercept • Form of a Linear
Equation
General Form of a • Linear Equation
Graphs of Non-Linear • Relations
The Parabola• The Hyperbola•
TRIGONOMETRYIdentifying + • Naming Sides of a
Right-angled Triangle
Ratios of Sides in • Similar Right-angled
Triangles
Trigonometric Ratios• The Calculator in • Trigonometry
Finding Angles of a • Right-angled Triangle
Finding Side Lengths of • Right-angled Triangles
Complementary Angles • in Trigonometry
The Tangent Ratio and • the Gradient of a Line
Angles of Elevation + • Depression
Directions + Bearings•
EQUATIONS &INEQUALITIES
Linear Equations• Solving Worded • Problems Using Linear EquationsQuadratic Equations• Formulae• Inequalities• Graphing Inequalities• Simultaneous • EquationsSolving Simultaneous • Equations Non-AlgebraicallySolving Simultaneous • Equations GraphicallySolving Simultaneous • Equations AlgebraicallySolving Worded • Problems Using
Simultaneous Equations
DATA & STATISTICS
Features of a Data • DisplayMeasures of Central • TendencyGroups of Data• Histograms + • Frequency PolygonsUsing Grouped Data• Cumulative Frequency • Histogram + PolygonFinding the Median • From the Cumulative Frequency PolygonQuartiles• Measures of Spread + • Standard DeviationUsing a Calculator to • Find Mean + Standard DeviationBox-and-Whisker Plot• Scatter-Plot• Time Series•
GEOMETRYPolygons• Internal Angle Sum of a • PolygonExternal Angle Sum of • a PolygonCongruence• Congruent Triangles• Tests for Congruent • TrianglesProving Congruence• Applications of • Congruence TestsSimilarity• Transformations• Similar Triangles• Locus•
SURFACEAREA & VOLUME
Surface Area• Surface Area of a Right • PrismSurface Area of a • CylinderSurface Area of • Composite SolidsVolume• Volume of a Right • PyramidVolume of a Right • Circular ConeVolume of a Sphere• Volume of Composite • SolidsCapacity• Applications of Surface • Area and Volume
RATIOS, RATES& SCALE DRAWING
Ratios• Simplifying Ratios• Increasing or • Decreasing a Quantity in a Given RatioDividing Quantities in a • Given RatioProportion• Scale Drawings• Rates• Calculating Rates• Calculating Quantities • Using RatesConverting Rates•
