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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. 2Rational Numbers
    1. 2.1Comparing and ordering rational numbers
    2. 2.2Solving problems with rational numbers in decimal form
    3. 2.3Solving problems with rational numbers in fraction form
    4. 2.4Determine square roots of rational numbers
  3. 3Ratios, Rates, and Proportions
    1. 3.1Ratios
    2. 3.2Rates
    3. 3.3Proportions
  4. 4Percents
    1. 4.1Representing percents
    2. 4.2Percents, fractions, and decimals
    3. 4.3Percent of a number
    4. 4.4Adding and multiplying percents
    5. 4.5Taxes, discounts, tips and more
    6. 4.6Simple interest
    7. 4.7Finance: Compound interest
  5. 5Pythagorean Theorem
    1. 5.1Squares and square roots
    2. 5.2Pythagorean theorem
    3. 5.3Estimating square roots
    4. 5.4Using the pythagorean relationship
    5. 5.5Applications of pythagorean theorem
  6. 6Volume
    1. 6.1Introduction to volume
    2. 6.2Volume of prisms
    3. 6.3Volume of cylinders
    4. 6.4Word problems relating volume of prisms and cylinders
  7. 7Scale Factors and Similarity
    1. 7.1Enlargements and reductions with scale factors
    2. 7.2Scale diagrams
    3. 7.3Similar triangles
    4. 7.4Similar polygons
  8. 8Solving Linear Equations
    1. 8.1Solving linear equations using multiplication and division
    2. 8.2Solving two-step linear equations: ax+b=cax + b = c, xa+b=c{x \over a} + b = c
    3. 8.3Solving linear equations using distributive property: a(x+b)=ca(x + b) = c
    4. 8.4Solving linear equations with variables on both sides
    5. 8.5Solving literal equations
  9. 9Data and Graphs
    1. 9.1Reading and drawing bar graphs
    2. 9.2Reading and drawing histograms
    3. 9.3Reading and drawing line graphs
    4. 9.4Box-and-whisker plots and scatter plots
    5. 9.5Stem-and-leaf plots
    6. 9.6Pie charts
    7. 9.7Reading and drawing Venn diagrams
    8. 9.8Frequency tables and dot plots
  10. 10Direct Variation
    1. 10.1Identifying proportional relationships
    2. 10.2Understanding graphs of proportional relationships
    3. 10.3Understanding tables of values of proportional relationships
    4. 10.4Applications of linear relationships
  11. 11Introduction to Relations and Functions
    1. 11.1Relationship between two variables
    2. 11.2Understand relations between x- and y-intercepts
    3. 11.3Domain and range of a function
    4. 11.4Identifying functions
    5. 11.5Function notation
  12. 12Linear Functions
    1. 12.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 12.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 12.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 12.4Gradient intercept form: y = mx + b
    5. 12.5General form: Ax + By + C = 0
    6. 12.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    7. 12.7Rate of change
    8. 12.8Graphing linear functions using table of values
    9. 12.9Graphing linear functions using x- and y-intercepts
    10. 12.10Graphing from gradient-intercept form y=mx+b
    11. 12.11Graphing linear functions using a single point and gradient
    12. 12.12Word problems of graphing linear functions
    13. 12.13Parallel and perpendicular lines in linear functions
    14. 12.14Applications of linear relations
  13. 13Linear Inequalities
    1. 13.1Express linear inequalities graphically and algebraically
    2. 13.2Solving one-step linear inequalities
    3. 13.3Solving multi-step linear inequalities
    4. 13.4Compound inequalities
  14. 14Solving Simultaneous Equations
    1. 14.1Determining number of solutions to linear equations
    2. 14.2Solving simultaneous equations by graphing
    3. 14.3Solving simultaneous equations by elimination
    4. 14.4Solving simultaneous equations by substitution
    5. 14.5Money related questions in linear equations
    6. 14.6Unknown number related questions in linear equations
    7. 14.7Distance and time related questions in linear equations
    8. 14.8Rectangular shape related questions in linear equations
  15. 15Exponents
    1. 15.1Product rule of exponents
    2. 15.2Quotient rule of exponents
    3. 15.3Power of a product rule
    4. 15.4Power of a quotient rule
    5. 15.5Power of a power rule
    6. 15.6Negative exponent rule
    7. 15.7Combining the exponent rules
    8. 15.8Scientific notation
    9. 15.9Convert between radicals and rational exponents
    10. 15.10Solving for exponents
  16. 16Introduction to Polynomials
    1. 16.1Characteristics of polynomials
    2. 16.2Equivalent expressions of polynomials
    3. 16.3Adding and subtracting polynomials
  17. 17Operations of Polynomials
    1. 17.1What is a polynomial?
    2. 17.2Polynomial components
    3. 17.3Multiplying monomial by monomial
    4. 17.4Multiplying monomial by binomial
    5. 17.5Multiplying binomial by binomial
    6. 17.6Multiplying polynomial by polynomial
    7. 17.7Applications of polynomials
  18. 18Factorising Polynomial Expressions
    1. 18.1Common factors of polynomials
    2. 18.2Factorising polynomials by grouping
    3. 18.3Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
    4. 18.4Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
    5. 18.5Factorising polynomials: x2+bx+cx^2 + bx + c
    6. 18.6Applications of polynomials: x2+bx+cx^2 + bx + c
    7. 18.7Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
    8. 18.8Factorising polynomials: ax2+bx+cax^2 + bx + c
    9. 18.9Factorising perfect square trinomials: (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 or (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2
    10. 18.10Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
    11. 18.11Evaluating polynomials
    12. 18.12Using algebra tiles to factorise polynomials
    13. 18.13Solving polynomial equations
    14. 18.14Word problems of polynomials
  19. 19Radicals
    1. 19.1Square and square roots
    2. 19.2Cubic and cube roots
    3. 19.3Evaluating and simplifying radicals
    4. 19.4Converting radicals to mixed radicals
    5. 19.5Converting radicals to entire radicals
    6. 19.6Adding and subtracting radicals
    7. 19.7Multiplying and dividing radicals
    8. 19.8Rationalize the denominator
  20. 20Algebraic Fractions
    1. 20.1Simplifying algebraic fractions and restrictions
    2. 20.2Adding and subtracting algebraic fractions
    3. 20.3Multiplying algebraic fractions
    4. 20.4Dividing algebraic fractions
    5. 20.5Solving equations with algebraic fractions
    6. 20.6Applications of equations with algebraic fractions
    7. 20.7Simplifying complex fractions
    8. 20.8Partial fraction decomposition
  21. 21Reciprocal Functions
    1. 21.1Graphing reciprocals of linear functions
    2. 21.2Graphing reciprocals of quadratic functions
  22. 22Statistics
    1. 22.1Median and mode
    2. 22.2Mean
    3. 22.3Range and outliers
    4. 22.4Application of averages
  23. 23Probability
    1. 23.1Determining probabilities using tree diagrams and tables
    2. 23.2Probability of independent events
    3. 23.3Probability with Venn diagrams
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