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  1. 1Number System and Radicals
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    1. 1.1Understanding the number systems
    2. 1.2Prime factorization
    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. 3Solving Linear Equations
    1. 3.1Solving linear equations using multiplication and division
    2. 3.2Solving two-step linear equations: ax + b = c, x/a + b = c
    3. 3.3Solving linear equations using distributive property: a(x + b) = c
    4. 3.4Solving linear equations with variables on both sides
    5. 3.5Solving literal equations
  4. 4Linear Inequalities
    1. 4.1Express linear inequalities graphically and algebraically
    2. 4.2Solving one-step linear inequalities
    3. 4.3Solving multi-step linear inequalities
    4. 4.4Compound inequalities
  5. 5Introduction to Relations and Functions
    1. 5.1Relationship between two variables
    2. 5.2Understand relations between x- and y-intercepts
    3. 5.3Domain and range of a function
    4. 5.4Identifying functions
    5. 5.5Function notation
  6. 6Linear Functions
    1. 6.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 6.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 6.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 6.4Gradient intercept form: y = mx + b
    5. 6.5General form: Ax + By + C = 0
    6. 6.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    7. 6.7Rate of change
    8. 6.8Graphing linear functions using table of values
    9. 6.9Graphing linear functions using x- and y-intercepts
    10. 6.10Graphing from gradient-intercept form y=mx+b
    11. 6.11Graphing linear functions using a single point and gradient
    12. 6.12Word problems of graphing linear functions
    13. 6.13Parallel and perpendicular lines in linear functions
    14. 6.14Applications of linear relations
  7. 7Linear Equations (Advanced)
    1. 7.1Introduction to linear equations
    2. 7.2Introduction to nonlinear equations
    3. 7.3Special case of linear equations: Horizontal lines
    4. 7.4Special case of linear equations: Vertical lines
    5. 7.5Parallel line equation
    6. 7.6Perpendicular line equation
    7. 7.7Combination of both parallel and perpendicular line equations
    8. 7.8Applications of linear equations
  8. 8Solving Simultaneous Equations
    1. 8.1Determining number of solutions to linear equations
    2. 8.2Solving simultaneous equations by graphing
    3. 8.3Solving simultaneous equations by elimination
    4. 8.4Solving simultaneous equations by substitution
    5. 8.5Money related questions in linear equations
    6. 8.6Unknown number related questions in linear equations
    7. 8.7Distance and time related questions in linear equations
    8. 8.8Rectangular shape related questions in linear equations
  9. 9Exponents
    1. 9.1Product rule of exponents
    2. 9.2Quotient rule of exponents
    3. 9.3Power of a product rule
    4. 9.4Power of a quotient rule
    5. 9.5Power of a power rule
    6. 9.6Negative exponent rule
    7. 9.7Combining the exponent rules
    8. 9.8Scientific notation
    9. 9.9Convert between radicals and rational exponents
    10. 9.10Solving for exponents
  10. 10Exponential Functions
    1. 10.1Exponents: Product rule (a^x)(a^y) = a^(x+y)
    2. 10.2Exponents: Division rule (a^x / a^y) = a^(x-y)
    3. 10.3Exponents: Power rule (a^x)^y = a^(x * y)
    4. 10.4Exponents: Negative exponents
    5. 10.5Exponents: Zero exponent: a^0 = 1
    6. 10.6Exponents: Rational exponents
    7. 10.7Graphing exponential functions
    8. 10.8Graphing transformations of exponential functions
    9. 10.9Finding an exponential function given its graph
  11. 11Exponential Growth and Decay
    1. 11.1Exponential growth and decay by a factor
    2. 11.2Exponential decay: Half-life
    3. 11.3Exponential growth and decay by percentage
    4. 11.4Continuous growth and decay
  12. 12Operations of Polynomials
    1. 12.1What is a polynomial?
    2. 12.2Polynomial components
    3. 12.3Multiplying monomial by monomial
    4. 12.4Multiplying monomial by binomial
    5. 12.5Multiplying binomial by binomial
    6. 12.6Multiplying polynomial by polynomial
    7. 12.7Applications of polynomials
    8. 12.8Pascal's triangle
    9. 12.9Binomial theorem
  13. 13Factorising Quadratic Equations
    1. 13.1Factorise by taking out the greatest common factor
    2. 13.2Factorise by grouping
    3. 13.3Factorising difference of squares: x^2 - y^2
    4. 13.4Factorising trinomials
    5. 13.5Factoring difference of cubes
    6. 13.6Factoring sum of cubes
  14. 14Quadratic Functions
    1. 14.1Characteristics of quadratic functions
    2. 14.2Transformations of quadratic functions
    3. 14.3Quadratic function in general form: y = ax^2 + bx + c
    4. 14.4Quadratic function in vertex form: y = a(x-p)^2 + q
    5. 14.5Completing the square
    6. 14.6Converting from general to vertex form by completing the square
    7. 14.7Shortcut: Vertex formula
    8. 14.8Graphing parabolas for given quadratic functions
    9. 14.9Finding the quadratic functions for given parabolas
    10. 14.10Applications of quadratic functions
  15. 15Quadratic Equations and Inequalities
    1. 15.1Solving quadratic equations by factorising
    2. 15.2Solving quadratic equations by completing the square
    3. 15.3Using quadratic formula to solve quadratic equations
    4. 15.4Nature of roots of quadratic equations: The discriminant
    5. 15.5Applications of quadratic equations
    6. 15.6Solving quadratic inequalities
  16. 16Pythagorean Theorem
    1. 16.1Squares and square roots
    2. 16.2Pythagorean theorem
    3. 16.3Estimating square roots
    4. 16.4Using the pythagorean relationship
    5. 16.5Applications of pythagorean theorem
  17. 17Angles, Lines and Transversals
    1. 17.1Pairs of lines and angles
    2. 17.2Parallel lines and transversals
    3. 17.3Parallel line proofs
    4. 17.4Perpendicular line proofs
    5. 17.5Parallel and perpendicular line segments
    6. 17.6Perpendicular bisectors
    7. 17.7Angle Bisectors
  18. 18Properties of Triangles
    1. 18.1Classifying Triangles
    2. 18.2Isosceles and Equilateral Triangles
  19. 19Congruent Triangles
    1. 19.1Congruence and Congruent Triangles
    2. 19.2Triangles Congruent by SSS Proofs
    3. 19.3Triangles Congruent by SAS and HL Proofs
    4. 19.4Triangles Congruent by ASA and AAS Proofs
  20. 20Symmetry and Surface Area
    1. 20.1Line symmetry
    2. 20.2Rotational symmetry and transformations
    3. 20.3Surface area of 3-dimensional shapes
  21. 21Circle Geometry
    1. 21.1Angles in a circle
    2. 21.2Chord properties
    3. 21.3Tangent properties
    4. 21.4Circles and circumference
    5. 21.5Arcs of a circle
    6. 21.6Areas and sectors of circles
    7. 21.7Inscribed Angles and Proofs
    8. 21.8Central and inscribed angles in circles
  22. 22Scale Factors and Similarity
    1. 22.1Enlargements and reductions with scale factors
    2. 22.2Scale diagrams
    3. 22.3Similar triangles
    4. 22.4Similar polygons
  23. 23Surface Area and Volume
    1. 23.1Surface area and volume of prisms
    2. 23.2Surface area and volume of pyramids
    3. 23.3Surface area and volume of cylinders
    4. 23.4Surface area and volume of cones
    5. 23.5Surface area and volume of spheres
  24. 24Algebraic Fractions
    1. 24.1Simplifying algebraic fractions and restrictions
    2. 24.2Adding and subtracting algebraic fractions
    3. 24.3Multiplying algebraic fractions
    4. 24.4Dividing algebraic fractions
    5. 24.5Solving equations with algebraic fractions
    6. 24.6Applications of equations with algebraic fractions
    7. 24.7Simplifying complex fractions
    8. 24.8Partial fraction decomposition
  25. 25Reciprocal Functions
    1. 25.1Graphing reciprocals of linear functions
    2. 25.2Graphing reciprocals of quadratic functions
  26. 26Introduction to Trigonometry
    1. 26.1Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h} )
    2. 26.2Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h} )
    3. 26.3Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a} )
    4. 26.4Combination of SohCahToa questions
    5. 26.5Solving expressions using 45-45-90 special right triangles
    6. 26.6Solving expressions using 30-60-90 special right triangles
    7. 26.7Word problems relating ladder in trigonometry
    8. 26.8Word problems relating guy wire in trigonometry
    9. 26.9Other word problems relating angles in trigonometry
  27. 27Trigonometry
    1. 27.1Angle in standard position
    2. 27.2Coterminal angles
    3. 27.3Reference angle
    4. 27.4Find the exact value of trigonometric ratios
    5. 27.5ASTC rule in trigonometry (All Students Take Calculus)
    6. 27.6Unit circle
    7. 27.7Converting between degrees and radians
    8. 27.8Trigonometric ratios of angles in radians
    9. 27.9Radian measure and arc length
    10. 27.10Law of sines
    11. 27.11Law of cosines
    12. 27.12Applications of the sine law and cosine law
  28. 28Bearings
    1. 28.1Introduction to bearings
    2. 28.2Bearings and direction word problems
    3. 28.3Angle of elevation and depression
  29. 29Vectors
    1. 29.1Introduction to vectors
    2. 29.2Magnitude of a vector
    3. 29.3Direction angle of a vector
    4. 29.4Scalar multiplication
    5. 29.5Equivalent vectors
    6. 29.6Adding and subtracting vectors in component form
    7. 29.7Operations on vectors in magnitude and direction form
    8. 29.8Unit Vector
    9. 29.9Word problems on vectors
  30. 30Probability
    1. 30.1Determining probabilities using tree diagrams and tables
    2. 30.2Probability of independent events
    3. 30.3Probability with Venn diagrams
  31. 31Statistics
    1. 31.1Median and mode
    2. 31.2Mean
    3. 31.3Range and outliers
    4. 31.4Application of averages
  32. 32Data and Graphs
    1. 32.1Reading and drawing histograms
    2. 32.2Box-and-whisker plots and scatter plots
  33. 33Derivatives
    1. 33.1Definition of derivative
    2. 33.2Power rule
    3. 33.3Chain rule
    4. 33.4Derivative of exponential functions
    5. 33.5Product rule
    6. 33.6Quotient rule
  34. 34Introduction to Matrices
    1. 34.1Notation of matrices
    2. 34.2Adding and subtracting matrices
    3. 34.3Scalar multiplication
    4. 34.4Matrix multiplication
    5. 34.5The three types of matrix row operations
    6. 34.6Representing a linear system as a matrix
    7. 34.7Solving a linear system with matrices using Gaussian elimination
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