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  1. 1Linear Inequalities
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    1. 1.1Express linear inequalities graphically and algebraically
    2. 1.2Solving one-step linear inequalities
    3. 1.3Solving multi-step linear inequalities
  2. 2Algebraic Expressions
    1. 2.1Equivalent algebraic expressions
    2. 2.2Adding and subtracting algebraic expressions
    3. 2.3Multiplying monomial by monomial
    4. 2.4Multiplying monomial by binomial
    5. 2.5Multiplying binomial by binomial
    6. 2.6Multiplying polynomial by polynomial
    7. 2.7Applications of algebraic expressions
  3. 3Linear Functions
    1. 3.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 3.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 3.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 3.4Gradient intercept form: y = mx + b
    5. 3.5General form: Ax + By + C = 0
    6. 3.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    7. 3.7Rate of change
    8. 3.8Graphing linear functions using table of values
    9. 3.9Graphing linear functions using x- and y-intercepts
    10. 3.10Graphing from slope-intercept form y=mx+b
    11. 3.11Graphing linear functions using a single point and gradient
    12. 3.12Word problems of graphing linear functions
    13. 3.13Applications of linear relations
  4. 4Simultaneous Equations
    1. 4.1Determining number of solutions to linear equations
    2. 4.2Solving simultaneous linear equations by graphing
    3. 4.3Solving simultaneous linear equations by elimination
    4. 4.4Solving simultaneous linear equations by substitution
    5. 4.5Money related questions in linear equations
    6. 4.6Unknown number related questions in linear equations
    7. 4.7Distance and time related questions in linear equations
    8. 4.8Rectangular shape related questions in linear equations
  5. 5Factorisation
    1. 5.1Factorise by taking out the greatest common factor
    2. 5.2Factorise by grouping
    3. 5.3Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
    4. 5.4Factorising difference of squares: x^2 - y^2
    5. 5.5Factorise trinomials
    6. 5.6Solving polynomials with unknown coefficients
    7. 5.7Solving polynomials with unknown constant terms
    8. 5.8Factorising difference of cubes: a3−b3a^3-b^3
    9. 5.9Factorising sum of cubes: a3+b3a^3+b^3
  6. 6Quadratic Functions
    1. 6.1Introduction to quadratic functions
    2. 6.2Transformations of quadratic functions
    3. 6.3Quadratic function in general form: y = ax^2 + bx + c
    4. 6.4Quadratic function in vertex form: y = a(x-p)^2 + q
    5. 6.5Completing the square
    6. 6.6Converting from general to vertex form by completing the square
    7. 6.7Shortcut: Vertex formula
    8. 6.8Graphing quadratic functions: General form VS. Vertex form
    9. 6.9Finding the quadratic functions for given parabolas
    10. 6.10Applications of quadratic functions
  7. 7Quadratic Equations and Inequalities
    1. 7.1Solving quadratic equations by factoring
    2. 7.2Solving quadratic equations by completing the square
    3. 7.3Using quadratic formula to solve quadratic equations
    4. 7.4Nature of roots of quadratic equations: The discriminant
    5. 7.5Applications of quadratic equations
    6. 7.6Solving quadratic inequalities
  8. 8Surds
    1. 8.1Square and square roots
    2. 8.2Cubic and cube roots
    3. 8.3Operations with surds
    4. 8.4Conversion between entire radicals and mixed radicals
    5. 8.5Adding and subtracting surds
    6. 8.6Multiplying surds
    7. 8.7Rationalize the denominator
    8. 8.8Solving equations with surds
  9. 9Solving Simultaneous Equations
    1. 9.1System of linear equations
    2. 9.2System of linear-quadratic equations
    3. 9.3System of quadratic-quadratic equations
    4. 9.4Solving 3 variable systems of equations by substitution
    5. 9.5Solving 3 variable systems of equations by elimination
    6. 9.6Solving 3 variable systems of equations with no solution, infinite solutions
    7. 9.7Word problems relating 3 variable systems of equations
  10. 10Laws of Indices
    1. 10.1Indices: Product rule (a^x)(a^y) = a^(x+y)
    2. 10.2Indices: Division rule (a^x / a^y) = a^(x-y)
    3. 10.3Indices: Power rule (a^x)^y = a^(x * y)
    4. 10.4Negative indices
    5. 10.5Zero index: a^0 = 1
    6. 10.6Rational indices
    7. 10.7Standard form
  11. 11Algebraic Fractions
    1. 11.1Simplifying algebraic fractions and restrictions
    2. 11.2Adding and subtracting algebraic fractions
    3. 11.3Multiplying algebraic fractions
    4. 11.4Dividing algebraic fractions
    5. 11.5Solving equations with algebraic fractions
    6. 11.6Applications of equations with algebraic fractions
    7. 11.7Simplifying complex fractions
  12. 12Exponential Functions
    1. 12.1Solving exponential equations using laws of indices
    2. 12.2Graphing exponential functions
    3. 12.3Graphing transformations of exponential functions
    4. 12.4Finding an exponential function given its graph
  13. 13Binomial expansions
    1. 13.1Factorial notation
    2. 13.2Binomial theorem
  14. 14Geometry and Measurement
    1. 14.1Parallel and perpendicular line segments
    2. 14.2Perpendicular bisectors
    3. 14.3Angle bisectors
  15. 15Congruent Triangles
    1. 15.1Classifying Triangles
    2. 15.2Congruence and Congruent Triangles
    3. 15.3Triangles Congruent by SSS Proofs
    4. 15.4Triangles Congruent by SAS and HL Proofs
    5. 15.5Triangles Congruent by ASA and AAS Proofs
    6. 15.6Isosceles and Equilateral Triangles
  16. 16Angles, Lines, and Transversals
    1. 16.1Pairs of lines and angles
    2. 16.2Parallel lines and transversals
    3. 16.3Parallel line proofs
    4. 16.4Perpendicular line proofs
  17. 17Circles
    1. 17.1Angles in a circle
    2. 17.2Chord properties
    3. 17.3Tangent properties
    4. 17.4Circle and circumference
    5. 17.5Arcs of a circle
    6. 17.6Areas and sectors of circles
    7. 17.7Inscribed quadrilaterals in circles
    8. 17.8Central and inscribed angles in circles
  18. 18Surface Area and Volume
    1. 18.1Surface area and volume of prisms
    2. 18.2Surface area and volume of pyramids
    3. 18.3Surface area and volume of cylinders
    4. 18.4Surface area and volume of cones
    5. 18.5Surface area and volume of spheres
  19. 19Conics
    1. 19.1Conics - Parabola
    2. 19.2Conics - Circle
  20. 20Trigonometric Ratios and Angle Measure
    1. 20.1Angle in standard position
    2. 20.2Coterminal angles
    3. 20.3Reference angle
    4. 20.4Find the exact value of trigonometric ratios
    5. 20.5ASTC rule in trigonometry (All Students Take Calculus)
    6. 20.6Unit circle
    7. 20.7Converting between degrees and radians
    8. 20.8Trigonometric ratios of angles in radians
    9. 20.9Radian measure and arc length
  21. 21Sine Rule and Cosine Rule
    1. 21.1Sine rule
    2. 21.2Cosine rule
    3. 21.3Sine rule and cosine rule word problems
  22. 22Bearings
    1. 22.1Introduction to bearings
    2. 22.2Bearings and direction word problems
    3. 22.3Angle of elevation and depression
  23. 23Graphing Trigonometric Functions
    1. 23.1Sine graph: y = sin x
    2. 23.2Cosine graph: y = cos x
    3. 23.3Tangent graph: y = tan x
    4. 23.4Cotangent graph: y = cot x
    5. 23.5Secant graph: y = sec x
    6. 23.6Cosecant graph: y = csc x
    7. 23.7Graphing transformations of trigonometric functions
    8. 23.8Determining trigonometric functions given their graphs
  24. 24Applications of Trigonometric Functions
    1. 24.1Ferris wheel trig problems
    2. 24.2Tides and water depth trig problems
    3. 24.3Spring (simple harmonic motion) trig problems
  25. 25Trigonometric Identities
    1. 25.1Quotient identities and reciprocal identities
    2. 25.2Pythagorean identities
    3. 25.3Sum and difference identities
    4. 25.4Cofunction identities
    5. 25.5Double-angle identities
  26. 26Solving Trigonometric Equations
    1. 26.1Solving first degree trigonometric equations
    2. 26.2Determining non-permissible values for trig expressions
    3. 26.3Solving second degree trigonometric equations
    4. 26.4Solving trigonometric equations involving multiple angles
    5. 26.5Solving trigonometric equations using pythagorean identities
    6. 26.6Solving trigonometric equations using sum and difference identities
    7. 26.7Solving trigonometric equations using double-angle identities
  27. 27Inverse Trigonometric Functions
    1. 27.1Finding inverse trigonometric function from its graph
    2. 27.2Evaluating inverse trigonometric functions
    3. 27.3Finding inverse reciprocal trigonometric function from its graph
    4. 27.4Inverse reciprocal trigonometric function: finding the exact value
  28. 28Data and Graphs
    1. 28.1Reading and drawing bar graphs
    2. 28.2Reading and drawing histograms
    3. 28.3Reading and drawing line graphs
    4. 28.4Box-and-whisker plots and scatter plots
    5. 28.5Reading and drawing stem-and-leaf diagrams
    6. 28.6Reading and drawing Venn diagrams
    7. 28.7Frequency tables and dot diagrams
    8. 28.8Pie charts
  29. 29Representing Data
    1. 29.1Advantages and disadvantages of different graphs
    2. 29.2Misleading graphs
    3. 29.3Critiquing data presentation
  30. 30Statistics
    1. 30.1Median and mode
    2. 30.2Mean
    3. 30.3Range and outliers
    4. 30.4Application of averages
    5. 30.5Standard deviation, and variance
    6. 30.6Z-score, quartiles, and percentiles
  31. 31Probability
    1. 31.1Determining probabilities using tree diagrams and tables
    2. 31.2Probability of independent events
    3. 31.3Frequency distribution and histograms
    4. 31.4Addition rule for "OR"
    5. 31.5Multiplication rule for "AND"
  32. 32Differentiation
    1. 32.1Power rule
    2. 32.2Slope and equation of tangent line
    3. 32.3Chain rule
    4. 32.4Product rule
    5. 32.5Quotient rule
    6. 32.6Higher order derivatives
    7. 32.7Critical number & maximum and minimum values
  33. 33Integration
    1. 33.1Antiderivatives
    2. 33.2Definite integral
    3. 33.3Integration by parts
    4. 33.4Integration of rational functions by partial fractions
    5. 33.5Areas between curves
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