Year 7 - Year 10

John’s Academy is the only Canberra-based academy catering to both AST and HSC students in year 11 and year 12. Upon signing up to our courses, which run all year round, students will have the opportunity to learn from PhDs that have crafted continuous and structured lessons that will fast-track students, putting them in a position to excel in their studies.
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Year 7 Term Courses

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CURRICULUM
Term 1: February-April (10 weeks)
Whole numbers, Factors, multiples, primes and divisibility, Introduction to algebra, Fractions, Introduction to geometry, Algebra with fractions, Decimals, Measurement, Review and problem solving

Term 2: April - July (10 weeks)
Negative Integers, Addition and subtraction of a positive integer, Addition and subtraction of a negative integer, Indices and order of operations, Number plane and plotting points, Triangle and constructions, Angles in triangles, Circles and compasses, Isosceles and equilateral triangles, Quadrilaterals

Term 3: July - September (10 weeks)
Negative fractions, Negative decimals, Percentages, fractions and decimals, Solving equations, Equivalent equations, Collecting like terms

Term 4: October - December (10 weeks)
Introduction to probability, Experiments and counting, Empirical probability, Transformations and symmetry, Translation, Rotation, Reflection, Regular polygons
COURSE HOURS
This course will run on Monday evenings, 5pm-6:30pm.

MATERIALS
Course materials provided at John’s Academy are developed in-house by our experienced staff and are tailored to suit each course structure. All course material is bound in a booklet and will complement classroom learning.

The course material includes:
  • explanations of theories and concepts
  • detailed diagrams and tips
  • extensive review questions
  • homework assessment

  • PRICING
    Each term course is $600 with pricing based on:
  • 10 weeks
  • 1 lesson per week
  • 1.5 hours per lesson
  • $40 per hour


  • Year 7 Holiday Courses

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    CURRICULUM
    Easter Holiday (April, 2 weeks)
    Whole numbers, Factors, multiples, primes and divisibility, Introduction to algebra, Fractions, Introduction to geometry, Algebra with fractions, Decimals, Measurement, Review and problem solving

    Mid-Year Holiday (July, 2 weeks)
    Negative Integers, Addition and subtraction of a positive integer, Addition and subtraction of a negative integer, Indices and order of operations, Number plane and plotting points, Triangle and constructions, Angles in triangles, Circles and compasses, Isosceles and equilateral triangles, Quadrilaterals

    Spring Holiday (September, 2 weeks)
    Negative fractions, Negative decimals, Percentages, fractions and decimals, Solving equations, Equivalent equations, Collecting like terms

    Summer Holiday (December - January, 6 weeks)
    Introduction to probability, Experiments and counting, Empirical probability, Transformations and symmetry, Translation, Rotation, Reflection, Regular polygons
    COURSE HOURS
    During the summer holiday period, this course will run on Monday evenings, 5pm-7pm.

    During all other holiday periods (Easter, mid-year and spring), this course will run on Monday and Thursday evenings, 5pm-8pm.


    MATERIALS
    Course materials provided at John’s Academy are developed in-house by our experienced staff and are tailored to suit each course structure. All course material is bound in a booklet and will complement classroom learning.

    The course material includes:
  • explanations of theories and concepts
  • detailed diagrams and tips
  • extensive review questions
  • homework assessment

  • PRICING
    For holiday periods Easter, Mid-Year and Spring the total course fee is $420 with pricing based on:
  • 2 weeks
  • 2 lessons per week
  • 3 hours per lesson
  • $35 per hour

  • For the holiday period during Summer the total course fee is $420 with pricing based on:
  • 6 weeks
  • 1 lesson per week
  • 2 hours per lesson
  • $35 per hour


  • Year 8 Term Courses

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    CURRICULUM
    Term 1: February-April (10 weeks)
    WWhole numbers, Fractions and decimals review, Factors and indices review, Divisibility test, Prime factorisation, Negative integers, Number plane, Angles at a point, Angles in triangles, Isosceles and equilateral triangles, Algebra, Solving equations, Expanding brackets, Collecting like terms

    Term 2: April - July (10 weeks)
    Percentages increase and decrease, Simple interest, Discount, Pythagoras’ theorem, Irrational numbers, Rates and ratios, Speed, Graphs and tables, Bar charts, Line Graphs, Statistics, Data, Graphical displays, Grouping data, Stem-and-leaf plots, Measures of central tendency, Measures of spread

    Term 3: July - September (10 weeks)
    NCongruence and constructions, SSS, AAS, SAS, RHS tests, Congruence and special triangles, Parallelograms and their properties, Rhombuses and their properties, Rectangles and squares, Circle and its features, Circumference, area of a circle, Areas and volumes, Prisms, Cylinders

    Term 4: October - December (10 weeks)
    Probability, Multi-stage events, Formulae and factorisation, Binomial products, Factorisation of simple quadratics, Straight lines, Gradient, y-intercept
    COURSE HOURS
    This course will run on Tuesday evenings, 5pm-6:30pm.

    MATERIALS
    Course materials provided at John’s Academy are developed in-house by our experienced staff and are tailored to suit each course structure. All course material is bound in a booklet and will complement classroom learning.

    The course material includes:
  • explanations of theories and concepts
  • detailed diagrams and tips
  • extensive review questions
  • homework assessment

  • PRICING
    Each term course is $600 with pricing based on:
  • 10 weeks
  • 1 lesson per week
  • 1.5 hours per lesson
  • $40 per hour


  • Year 8 Holiday Courses

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    CURRICULUM
    Easter Holiday (April, 2 weeks)
    Whole numbers, Fractions and decimals review, Factors and indices review, Divisibility test, Prime factorisation, Negative integers, Number plane, Angles at a point, Angles in triangles, Isosceles and equilateral triangles, Algebra, Solving equations, Expanding brackets, Collecting like terms

    Mid-Year Holiday (July, 2 weeks)
    Percentages increase and decrease, Simple interest, Discount, Pythagoras’ theorem, Irrational numbers, Rates and ratios, Speed, Graphs and tables, Bar charts, Line Graphs, Statistics, Data, Graphical displays, Grouping data, Stem-and-leaf plots, Measures of central tendency, Measures of spread

    Spring Holiday (September, 2 weeks)
    Congruence and constructions, SSS, AAS, SAS, RHS tests, Congruence and special triangles, Parallelograms and their properties, Rhombuses and their properties, Rectangles and squares, Circle and its features, Circumference, area of a circle, Areas and volumes, Prisms, Cylinders

    Summer Holiday (December - January, 6 weeks)
    Probability, Multi-stage events, Formulae and factorisation, Binomial products, Factorisation of simple quadratics, Straight lines, Gradient, y-intercept
    COURSE HOURS
    During the summer holiday period, this course will run on Tuesday evenings, 5pm-7pm.

    During all other holiday periods (Easter, mid-year and spring), this course will run on Tuesday and Friday evenings, 5pm-8pm.


    MATERIALS
    Course materials provided at John’s Academy are developed in-house by our experienced staff and are tailored to suit each course structure. All course material is bound in a booklet and will complement classroom learning.

    The course material includes:
  • explanations of theories and concepts
  • detailed diagrams and tips
  • extensive review questions
  • homework assessment

  • PRICING
    For holiday periods Easter, Mid-Year and Spring the total course fee is $420 with pricing based on:
  • 2 weeks
  • 2 lessons per week
  • 3 hours per lesson
  • $35 per hour

  • For the holiday period during Summer the total course fee is $420 with pricing based on:
  • 6 weeks
  • 1 lesson per week
  • 2 hours per lesson
  • $35 per hour


  • Year 9 Term Courses

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    CURRICULUM
    Term 1: February-April (10 weeks)
    Algebra, Perfect squares, Pythagoras’ theorem and surds, Addition and subtraction of surds, Multiplication and division of surds, Rationalising denominators, Pythagoras’ theorem in three dimensions, Binomial denominators, Review of percentages, Compound interest, Depreciation, Factorisation using common factors, the difference of two squares, Quadratics factorisation with common factors, Solving linear equations, Inequalities, Solving linear inequalities, Formulae, changing the subject of a formula

    Term 2: April - July (10 weeks)
    Review of angles, reasoning with angles, Parallelograms, Tests for rhombuses, rectangles and squares, Index laws, Negative exponents, Rational indices, Scientific notation, Significant figures, Enlargements and similarity, Ratio in similar figures, AAA, SSS, SAS, and RHS similarity tests

    Term 3: July - September (10 weeks)
    Distance between two points, Midpoint, Gradient, Equation of a straight line, Graphing straight lines, Equation of a line using the gradient and a point, Parallel and perpendicular straight lines, Equation of a circle, Introduction to probability, Complement, union and intersection, Relative frequency, Multi-stage experiments, Two-step experiments involving replacement, Trigonometry, Sine, Cosine, Tangent, Finding angles, Solving problems using trigonometry, True bearings, Simultaneous linear equations, Substitution and elimination, Further factorisation, Grouping, General quadratic, Completing the square

    Term 4: October - December (10 weeks)
    Area, volumes and time, Surface area of a cylinder, Conversion of units, Quadratic equations, Graphs of quadratics, Solving quadratic equations by completing the square, Rates and direct proportion, Stem-and-leaf plots and back to back stem-and-leaf plots, Grouped data, Histograms and summary of representations, Mean, median, mode and range
    COURSE HOURS
    This course will run on Wednesday evenings, 5pm-6:30pm.

    MATERIALS
    Course materials provided at John’s Academy are developed in-house by our experienced staff and are tailored to suit each course structure. All course material is bound in a booklet and will complement classroom learning.

    The course material includes:
  • explanations of theories and concepts

  • detailed diagrams and tips

  • extensive review questions

  • homework assessment

  • PRICING
    Each term course is $600 with pricing based on:
  • 10 weeks
  • 1 lesson per week
  • 1.5 hours per lesson
  • $40 per hour


  • Year 9 Holiday Courses

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    CURRICULUM
    Easter Holiday (April, 2 weeks)
    Algebra, Perfect squares, Pythagoras’ theorem and surds, Addition and subtraction of surds, Multiplication and division of surds, Rationalising denominators, Pythagoras’ theorem in three dimensions, Binomial denominators, Review of percentages, Compound interest, Depreciation, Factorisation using common factors, the difference of two squares, Quadratics factorisation with common factors, Solving linear equations, Inequalities, Solving linear inequalities, Formulae, changing the subject of a formula

    Mid-Year Holiday (July, 2 weeks)
    Review of angles, reasoning with angles, Parallelograms, Tests for rhombuses, rectangles and squares, Index laws, Negative exponents, Rational indices, Scientific notation, Significant figures, Enlargements and similarity, Ratio in similar figures, AAA, SSS, SAS, and RHS similarity tests

    Spring Holiday (September, 2 weeks)
    Distance between two points, Midpoint, Gradient, Equation of a straight line, Graphing straight lines, Equation of a line using the gradient and a point, Parallel and perpendicular straight lines, Equation of a circle, Introduction to probability, Complement, union and intersection, Relative frequency, Multi-stage experiments, Two-step experiments involving replacement, Trigonometry, Sine, Cosine, Tangent, Finding angles, Solving problems using trigonometry, True bearings, Simultaneous linear equations, Substitution and elimination, Further factorisation, Grouping, General quadratic, Completing the square

    Summer Holiday (December - January, 6 weeks)
    Area, volumes and time, Surface area of a cylinder, Conversion of units, Quadratic equations, Graphs of quadratics, Solving quadratic equations by completing the square, Rates and direct proportion, Stem-and-leaf plots and back to back stem-and-leaf plots, Grouped data, Histograms and summary of representations, Mean, median, mode and range
    COURSE HOURS
    During the summer holiday period, this course will run on Wednesday evenings, 5pm-7pm.

    During all other holiday periods (Easter, mid-year and spring), this course will run on Wednesday and Saturday evenings, 5pm-8pm.


    MATERIALS
    Course materials provided at John’s Academy are developed in-house by our experienced staff and are tailored to suit each course structure. All course material is bound in a booklet and will complement classroom learning.

    The course material includes:
  • explanations of theories and concepts
  • detailed diagrams and tips
  • extensive review questions
  • homework assessment

  • PRICING
    For holiday periods Easter, Mid-Year and Spring the total course fee is $420 with pricing based on:
  • 2 weeks
  • 2 lessons per week
  • 3 hours per lesson
  • $35 per hour

  • For the holiday period during Summer the total course fee is $420 with pricing based on:
  • 6 weeks
  • 1 lesson per week
  • 2 hours per lesson
  • $35 per hour


  • Year 10 Term Courses

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    CURRICULUM
    Term 1: February-April (10 weeks)
    Compound interest, Compound depreciation, Irrational numbers and surds, Rationalising denominators, More difficult linear equations and inequalities, Formulae, Monic quadratics and grouping, Non-monic quadratics, Further algebraic fractions, Distance between two points, Midpoint, Gradient, Gradient-intercept form and equation of a line, Point-gradient form, Review of simultaneous linear equations, Quadratic equations, Perfect squares and completing the square, Quadratic formula

    Term 2: April - July (10 weeks)
    Surface area and volume, Pyramids, Cones, Spheres, Enlargement, The parabola, Upside-down parabola, Symmetry and factorisation, Quadratic inequalities, Indices, exponentials and logarithms, Powers with rational indices, Graphs of exponential functions, Exponential equations, Exponential growth and decay, Logarithms, Circles, hyperbolas and simultaneous equations, Equation of a circle, Rectangular hyperbola, Intersections of graphs, Regions of the plane

    Term 3: July - September (10 weeks)
    Review of trigonometric ratios, Three-dimensional trigonometry, Sine rule, Cosine Rule, Area of a triangle, Combinatorics, Multiplication principle, Arranging objects, Arrangements involving restrictions, Inclusion-exclusion principle, Circle geometry, Angles at the centre and circumference, Cyclic quadrilaterals, Chords and angles at the centre, Tangents and radii, Alternate segment theorem, Similarity and circles, Indices, exponentials and logarithms, Logarithm rules, Change of base, Graphs of exponential and logarithm functions, Application to science, population growth and finance

    Term 4: October - December (10 weeks)
    Review of probability, Complement, union and intersection, Conditional probability, Sampling with and without replacement, Direct proportion, Inverse proportion, Proportionality in several variables, The language of polynomials, Remainder theorem and factor theorem, Factorising polynomials, Polynomial equations, Sketching polynomials, Median and the interquartile range, Boxplots, Histogrms and outliers, Mean and the standard deviation, Time-series, Bivariate data, Trigonometric functions in four quadrants, Finding angles, Angles of any magnitude, Trigonometric functions and their symmetries, Trigonometric equations, Functions and domains, Inverse functions, Function notation, and the range of a function, Transformations of graphs of functions, Composites and inverses
    COURSE HOURS
    This course will run on Thursday evenings, 5pm-6:30pm.

    MATERIALS
    Course materials provided at John’s Academy are developed in-house by our experienced staff and are tailored to suit each course structure. All course material is bound in a booklet and will complement classroom learning.

    The course material includes:
  • explanations of theories and concepts
  • detailed diagrams and tips
  • extensive review questions
  • homework assessment

  • PRICING
    Each term course is $600 with pricing based on:
  • 10 weeks
  • 1 lesson per week
  • 1.5 hours per lesson
  • $40 per hour

  • Year 10 Holiday Courses

    Responsive image
    CURRICULUM
    Easter Holiday (April, 2 weeks)
    Compound interest, Compound depreciation, Irrational numbers and surds, Rationalising denominators, More difficult linear equations and inequalities, Formulae, Monic quadratics and grouping, Non-monic quadratics, Further algebraic fractions, Distance between two points, Midpoint, Gradient, Gradient-intercept form and equation of a line, Point-gradient form, Review of simultaneous linear equations, Quadratic equations, Perfect squares and completing the square, Quadratic formula

    Mid-Year Holiday (July, 2 weeks)
    Surface area and volume, Pyramids, Cones, Spheres, Enlargement, The parabola, Upside-down parabola, Symmetry and factorisation, Quadratic inequalities, Indices, exponentials and logarithms, Powers with rational indices, Graphs of exponential functions, Exponential equations, Exponential growth and decay, Logarithms, Circles, hyperbolas and simultaneous equations, Equation of a circle, Rectangular hyperbola, Intersections of graphs, Regions of the plane

    Spring Holiday (September, 2 weeks)
    Review of trigonometric ratios, Three-dimensional trigonometry, Sine rule, Cosine Rule, Area of a triangle, Combinatorics, Multiplication principle, Arranging objects, Arrangements involving restrictions, Inclusion-exclusion principle, Circle geometry, Angles at the centre and circumference, Cyclic quadrilaterals, Chords and angles at the centre, Tangents and radii, Alternate segment theorem, Similarity and circles, Indices, exponentials and logarithms, Logarithm rules, Change of base, Graphs of exponential and logarithm functions, Application to science, population growth and finance

    Summer Holiday (December - January, 6 weeks)
    Review of probability, Complement, union and intersection, Conditional probability, Sampling with and without replacement, Direct proportion, Inverse proportion, Proportionality in several variables, The language of polynomials, Remainder theorem and factor theorem, Factorising polynomials, Polynomial equations, Sketching polynomials, Median and the interquartile range, Boxplots, Histogrms and outliers, Mean and the standard deviation, Time-series, Bivariate data, Trigonometric functions in four quadrants, Finding angles, Angles of any magnitude, Trigonometric functions and their symmetries, Trigonometric equations, Functions and domains, Inverse functions, Function notation, and the range of a function, Transformations of graphs of functions, Composites and inverses
    COURSE HOURS
    During the summer holiday period, this course will run on Thursday evenings, 5pm-7pm.

    During all other holiday periods (Easter, mid-year and spring), this course will run on Monday and Thursday evenings, 5pm-8pm.


    MATERIALS
    Course materials provided at John’s Academy are developed in-house by our experienced staff and are tailored to suit each course structure. All course material is bound in a booklet and will complement classroom learning.

    The course material includes:
  • explanations of theories and concepts
  • detailed diagrams and tips
  • extensive review questions
  • homework assessment

  • PRICING
    For holiday periods Easter, Mid-Year and Spring the total course fee is $420 with pricing based on:
  • 2 weeks
  • 2 lessons per week
  • 3 hours per lesson
  • $35 per hour

  • For the holiday period during Summer the total course fee is $420 with pricing based on:
  • 6 weeks
  • 1 lesson per week
  • 2 hours per lesson

  • $35 per hour