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  1. 1Number System and Radicals
    1. 1.1Understanding the number systems
    2. 1.2Prime factorisation
    3. 1.3Greatest Common Factors (GCF)
    4. 1.4Least Common Multiple (LCM)
    5. 1.5Rational vs. Irrational numbers
    6. 1.6Converting repeating decimals to fractions
  2. 2Adding and Subtracting Integers
    1. 2.1Introduction to integer addition
    2. 2.2Adding integers
    3. 2.3Introduction to integer subtraction
    4. 2.4Subtracting integers
    5. 2.5Application of integer operations
  3. 3Multiplying and Dividing Integers
    1. 3.1Understanding integer multiplication
    2. 3.2Multiplying integers
    3. 3.3Understanding integer division
    4. 3.4Dividing integers
    5. 3.5Applications of integer operations
  4. 4Ratios, Rates, and Proportions
    1. 4.1Ratios
    2. 4.2Rates
    3. 4.3Proportions
  5. 5Percents
    1. 5.1Representing percents
    2. 5.2Percents, fractions, and decimals
    3. 5.3Percent of a number
    4. 5.4Adding and multiplying percents
    5. 5.5Taxes, discounts, tips and more
    6. 5.6Simple interest
  6. 6Lines, Angles and Transversals
    1. 6.1Pairs of lines and angles
    2. 6.2Parallel lines and transversals
    3. 6.3Perpendicular bisectors
    4. 6.4Angle bisectors
  7. 7Pythagorean Theorem
    1. 7.1Squares and square roots
    2. 7.2Pythagorean theorem
    3. 7.3Estimating square roots
    4. 7.4Using the pythagorean relationship
    5. 7.5Applications of pythagorean theorem
  8. 8Introduction to Surface Area of 3D Shapes
    1. 8.1Introduction to surface area of 3-dimensional shapes
    2. 8.2Nets of 3-dimensional shapes
    3. 8.3Surface area of prisms
    4. 8.4Surface area of cylinders
  9. 9Introduction to Volume
    1. 9.1Introduction to volume
    2. 9.2Volume of prisms
    3. 9.3Volume of cylinders
    4. 9.4Word problems relating volume of prisms and cylinders
  10. 10Scale Factors and Similarity
    1. 10.1Enlargements and reductions with scale factors
    2. 10.2Scale diagrams
    3. 10.3Similar triangles
    4. 10.4Similar polygons
  11. 11Introduction to Trigonometry
    1. 11.1Use sine ratio to calculate angles and side (Sin = oh \frac{o}{h} )
    2. 11.2Use cosine ratio to calculate angles and side (Cos = ah \frac{a}{h} )
    3. 11.3Use tangent ratio to calculate angles and side (Tan = oa \frac{o}{a} )
    4. 11.4Combination of SohCahToa questions
    5. 11.5Solving expressions using 45-45-90 special right triangles
    6. 11.6Solving expressions using 30-60-90 special right triangles
    7. 11.7Word problems relating ladder in trigonometry
    8. 11.8Word problems relating guy wire in trigonometry
    9. 11.9Other word problems relating angles in trigonometry
  12. 12Patterns and Solving Equations
    1. 12.1Patterns
    2. 12.2Evaluating algebraic expressions
    3. 12.3Solving one-step equations: x + a = b
    4. 12.4Graphing Linear relations
  13. 13Linear Equations (Basic)
    1. 13.1Model and solve one-step linear equations: ax = b, x/a = b
    2. 13.2Solving two-step linear equations using addition and subtraction: ax + b = c
    3. 13.3Solving two-step linear equations using multiplication and division: x/a + b = c
    4. 13.4Solving two-step linear equations using distributive property: a(x + b) = c
  14. 14Solving Linear Equations
    1. 14.1Solving linear equations using multiplication and division
    2. 14.2Solving two-step linear equations: ax + b = c, x/a + b = c
    3. 14.3Solving linear equations using distributive property: a(x + b) = c
    4. 14.4Solving linear equations with variables on both sides
    5. 14.5Solving literal equations
  15. 15Solving Linear Inequalities
    1. 15.1Express linear inequalities graphically and algebraically
    2. 15.2Solving one-step linear inequalities
    3. 15.3Solving multi-step linear inequalities
    4. 15.4Compound inequalities
  16. 16Introduction to Relations and Functions
    1. 16.1Relationship between two variables
    2. 16.2Understand relations between x- and y-intercepts
    3. 16.3Domain and range of a function
    4. 16.4Identifying functions
    5. 16.5Function notation
  17. 17Linear Relations
    1. 17.1Representing patterns in linear relations
    2. 17.2Reading linear relation graphs
    3. 17.3Solving linear equations by graphing
  18. 18Linear Functions
    1. 18.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 18.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 18.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 18.4Gradient intercept form: y = mx + b
    5. 18.5General form: Ax + By + C = 0
    6. 18.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    7. 18.7Rate of change
    8. 18.8Graphing linear functions using table of values
    9. 18.9Graphing linear functions using x- and y-intercepts
    10. 18.10Graphing from gradient-intercept form y=mx+b
    11. 18.11Graphing linear functions using a single point and gradient
    12. 18.12Word problems of graphing linear functions
    13. 18.13Parallel and perpendicular lines in linear functions
    14. 18.14Applications of linear relations
  19. 19Solving Simultaneous Equations
    1. 19.1Determining number of solutions to linear equations
    2. 19.2Solving simultaneous equations by graphing
    3. 19.3Solving simultaneous equations by elimination
    4. 19.4Solving simultaneous equations by substitution
    5. 19.5Money related questions in linear equations
    6. 19.6Unknown number related questions in linear equations
    7. 19.7Distance and time related questions in linear equations
    8. 19.8Rectangular shape related questions in linear equations
  20. 20Introduction to Powers and Exponents
    1. 20.1Using exponents to describe numbers
    2. 20.2Exponent rules
    3. 20.3Order of operations with exponents
    4. 20.4Using exponents to solve problems
  21. 21Exponents
    1. 21.1Product rule of exponents
    2. 21.2Quotient rule of exponents
    3. 21.3Power of a product rule
    4. 21.4Power of a quotient rule
    5. 21.5Power of a power rule
    6. 21.6Negative exponent rule
    7. 21.7Combining the exponent rules
    8. 21.8Scientific notation
    9. 21.9Convert between radicals and rational exponents
    10. 21.10Solving for exponents
  22. 22Introduction to Polynomials
    1. 22.1Characteristics of polynomials
    2. 22.2Equivalent expressions of polynomials
    3. 22.3Adding and subtracting polynomials
  23. 23Multiplying and Dividing Polynomials
    1. 23.1Multiplying and dividing monomials
    2. 23.2Multiplying polynomials by monomials
    3. 23.3Dividing polynomials by monomials
  24. 24Factorising Polynomial Expressions
    1. 24.1Common factors of polynomials
    2. 24.2Factorising polynomials by grouping
    3. 24.3Solving polynomials with the unknown "b" from x^2 + bx + c
    4. 24.4Solving polynomials with the unknown "c" from x^2 + bx + c
    5. 24.5Factorising polynomials: x^2 + bx + c
    6. 24.6Applications of polynomials: x^2 + bx + c
    7. 24.7Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
    8. 24.8Factorising polynomials: ax2+bx+cax^2 + bx + c
    9. 24.9Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
    10. 24.10Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
    11. 24.11Evaluating polynomials
    12. 24.12Using algebra tiles to factorise polynomials
    13. 24.13Solving polynomial equations
    14. 24.14Word problems of polynomials
  25. 25Radicals
    1. 25.1Square and square roots
    2. 25.2Cubic and cube roots
    3. 25.3Evaluating and simplifying radicals
    4. 25.4Converting radicals to mixed radicals
    5. 25.5Converting radicals to entire radicals
    6. 25.6Adding and subtracting radicals
    7. 25.7Multiplying and dividing radicals
    8. 25.8Rationalize the denominator
  26. 26Algebraic Fractions
    1. 26.1Simplifying algebraic fractions and restrictions
    2. 26.2Adding and subtracting algebraic fractions
    3. 26.3Multiplying algebraic fractions
    4. 26.4Dividing algebraic fractions
    5. 26.5Solving equations with algebraic fractions
    6. 26.6Applications of equations with algebraic fractions
    7. 26.7Simplifying complex fractions
    8. 26.8Partial fraction decomposition
  27. 27Reciprocal Functions
    1. 27.1Graphing reciprocals of linear functions
    2. 27.2Graphing reciprocals of quadratic functions
  28. 28Introduction to Probability
    1. 28.1Introduction to probability
    2. 28.2Organizing outcomes
    3. 28.3Probability of independent events
    4. 28.4Comparing experimental and theoretical probability
  29. 29Statistics
    1. 29.1Median and mode
    2. 29.2Mean
    3. 29.3Range and outliers
    4. 29.4Application of averages
  30. 30Data and Graphs
    1. 30.1Reading and drawing bar graphs
    2. 30.2Reading and drawing histograms
    3. 30.3Reading and drawing line graphs
    4. 30.4Box-and-whisker plots and scatter plots
    5. 30.5Pie charts
    6. 30.6Reading and drawing Venn diagrams
    7. 30.7Stem-and-leaf plots
    8. 30.8Frequency tables and dot plots
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