Phoenix Education Online
Enlarge

HSC General Maths Course Summary

$21.95

Stock: Available

Product Code: 978-1-876580-18-6

Each Phoenix Course Summary provides a comprehensive and thorough summary of all the essential material for each HSC Maths course in a form which makes it simple for students to identify what they have to know for the HSC examination and to help them learn it.

 They include:

  • formulas
  • theorems
  • procedures
  • worked examples

 In addition, they have

  • provision for students to add their own notes from other sources - textbook, study guide, teacher
  • useful suggestions to help learn the material
  • practice questions, with answers, for each part of the course

Course Summary General Maths Contents

Formulas

Topic 1 Mathematical modelling

Topic 2 Financial mathematics

  • Earning money (Preliminary)
  • Salary and wages
  • Casual employment
  • Part-time employment
  • Commission
  • Piecework
  • Overtime
  • Penalty rates
  • Holiday pay
  • Holiday loading
  • Budgeting (Preliminary)
  •  Taxation (Preliminary)
  • PAYE, PAYG
  • Gross income
  • Deductions
  • Tax payable
  • Credit and borrowing (HSC)
  • Simple interest
  • Compound interest                                
  • Annuities and loan repayments     (HSC)
  • Future value of an annuity
  • Present value of an annuity
  •  Depreciation (HSC)
  • Spreadsheet applications (HSC)
  • Calculation of compound and simple interest
  • Calculation of annuities
  • Tax calculations
  • Spreadsheet formulas

Topic 3 Data analysis

  •  Graphs (Preliminary)
  • Picturegrams
  • Pie charts
  • Column graphs
  • Dot plots
  • Stem-and-leafplots
  • Line graphs
  • Histograms and polygons
  • Data collection, sorting and display
  • Random variables
  • Frequency
  • Cumulative frequency
  • Relative frequency
  • Distribution tables
  • Interpreting sets of data (HSC)
  • Measures of central tendency
  • Measures of dispersion: range, variance,
  • Deviations, interquartile range
  • Box-and-whisker plots
  • Uses of the standard deviation (HSC)
  • Normal distribution
  • z-scores
  • Correlation using scatter plots (HSC)
  • Positive correlation
  • Negative correlation

Topic 4 Measurement

  •  Units of measurement (Preliminary)
  • Units and symbols
  • Time and calendar
  • Measuring instruments
  • Measuring angles
  • Rounding
  • Scientific notation
  • Ratio
  • Rates and conversions
  • Solid shapes
  • Nets
  • Scale drawing
  • Plans
  • Perspective drawing
  • Applications of area and volume
  • Similarity
  • Calculation of sides
  • Pythagoras' theorem (right-angled triangles)
  • Trigonometry
  • Angles of elevation and depression
  • The field notebook
  • Scale diagrams
  • Parts of a circle
  •  
  • Mensuration (HSC)
  • Perimeter
  • Area
  • Volume
  • Capacity
  • Mass
  • Surface area
  • Formulas for perimeter and area of 2D figures
  • Formulas for surface area and volume of 3D figures
  • Composite figures
  • Simpson's rule
  •  Applications of trigonometry (HSC)
  • Bearings
  • Angles of any magnitude
  • Non-right-angled triangles: sine and cosine rules
  • Area of a triangle
  • Radial survey
  • Spherical geometry (HSC)
  • The earth as a sphere
  • The earth's axis and the equator
  •   Parallels of latitude and distances
  • Topic 5 Probability
  •  Definitions
  • Likely outcomes
  • Experimental probability
  • Theoretical probability
  • Probability that an event does not occur
  • The multiplication principle
  •  Counting techniques (HSC)
  • Box-filling technique
  • Tree diagrams
  • Grid diagrams
  • Sets: intersection, union, notation
  • Venn diagrams
  • Multi-stage events (HSC)
  • The addition theorem of probability
  • Mutually-exclusive events
  • The product theorem of probability
  • Independent events
  • Dependent events:
  • Applications of probability (HSC)
  • Probability trees
  • Permutations

Topic 6 Algebraic modelling

  • Basic algebraic skills (Preliminary)
  • Pronumerals
  • Algebraic abbreviations
  • Like and unlike terms .
  • Simplifying algebraic  expressions
  • Removing grouping symbols
  • Binomial products
  • Perfect squares
  • Reduction
  • Multiplication and division
  • Addition and subtraction
  • Substitution
  • Algebraic skills and techniques
  • Solving equations
  • Solving inequations and graphing solutions on the number line
  • Formulas
  •  Modelling linear relationships
  • The number plane
  • Plotting points
  • Graphing linear equations
  • Gradient and distance of an interval joining two points
  • Equations of lines
  • Lines of best fit
  • Equations with square roots
  • Intersection of two lines
  • Simultaneous equations
  • Graphs
  • Curves
  • Variation
 
 
FOLLOW US ON:
Facebook