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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. 2Patterns and Solving Equations
    1. 2.1Patterns
    2. 2.2Combining like terms
    3. 2.3Evaluating algebraic expressions
    4. 2.4Solving one-step equations: x + a = b
    5. 2.5Graphing linear relations
  3. 3Linear Equations (Basic)
    1. 3.1Model and solve one-step linear equations: ax = b, x/a = b
    2. 3.2Solving two-step linear equations using addition and subtraction: ax + b = c
    3. 3.3Solving two-step linear equations using multiplication and division: x/a + b = c
    4. 3.4Solving two-step linear equations using distributive property: a(x + b) = c
  4. 4Solving Linear Equations
    1. 4.1Solving linear equations using multiplication and division
    2. 4.2Solving two-step linear equations: ax + b = c, x/a + b = c
    3. 4.3Solving linear equations using distributive property: a(x + b) = c
    4. 4.4Solving linear equations with variables on both sides
    5. 4.5Solving literal equations
  5. 5Solving Linear Inequalities
    1. 5.1Express linear inequalities graphically and algebraically
    2. 5.2Solving one-step linear inequalities
    3. 5.3Solving multi-step linear inequalities
    4. 5.4Compound inequalities
  6. 6Introduction to Relations and Functions
    1. 6.1Relationship between two variables
    2. 6.2Understand relations between x- and y-intercepts
    3. 6.3Domain and range of a function
    4. 6.4Identifying functions
    5. 6.5Function notation
  7. 7Linear Relations
    1. 7.1Representing patterns in linear relations
    2. 7.2Reading linear relation graphs
    3. 7.3Solving linear equations by graphing
  8. 8Linear Functions
    1. 8.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 8.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 8.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 8.4Gradient intercept form: y = mx + b
    5. 8.5General form: Ax + By + C = 0
    6. 8.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    7. 8.7Rate of change
    8. 8.8Graphing linear functions using table of values
    9. 8.9Graphing linear functions using x- and y-intercepts
    10. 8.10Graphing from gradient-intercept form y=mx+b
    11. 8.11Graphing linear functions using a single point and gradient
    12. 8.12Word problems of graphing linear functions
    13. 8.13Parallel and perpendicular lines in linear functions
    14. 8.14Applications of linear relations
  9. 9Solving Simultaneous Equations
    1. 9.1Determining number of solutions to linear equations
    2. 9.2Solving simultaneous equations by graphing
    3. 9.3Solving simultaneous equations by elimination
    4. 9.4Solving simultaneous equations by substitution
    5. 9.5Money related questions in linear equations
    6. 9.6Unknown number related questions in linear equations
    7. 9.7Distance and time related questions in linear equations
    8. 9.8Rectangular shape related questions in linear equations
  10. 10Transformations of Functions
    1. 10.1Transformations of functions: Horizontal translations
    2. 10.2Transformations of functions: Vertical translations
    3. 10.3Reflection across the y-axis: y = f(-x)
    4. 10.4Reflection across the x-axis: y = -f(x)
    5. 10.5Transformations of functions: Horizontal stretches
    6. 10.6Transformations of functions: Vertical stretches
    7. 10.7Combining transformations of functions
    8. 10.8Even and odd functions
  11. 11Exponents
    1. 11.1Product rule of exponents
    2. 11.2Quotient rule of exponents
    3. 11.3Power of a product rule
    4. 11.4Power of a quotient rule
    5. 11.5Power of a power rule
    6. 11.6Negative exponent rule
    7. 11.7Combining the exponent rules
    8. 11.8Scientific notation
    9. 11.9Convert between radicals and rational exponents
    10. 11.10Solving for exponents
  12. 12Exponential Functions
    1. 12.1Exponents: Product rule (a^x)(a^y) = a^(x+y)
    2. 12.2Exponents: Division rule (a^x / a^y) = a^(x-y)
    3. 12.3Exponents: Power rule (a^x)^y = a^(x * y)
    4. 12.4Exponents: Negative exponents
    5. 12.5Exponents: Zero exponent: a^0 = 1
    6. 12.6Exponents: Rational exponents
    7. 12.7Graphing exponential functions
    8. 12.8Graphing transformations of exponential functions
    9. 12.9Finding an exponential function given its graph
    10. 12.10Finance: Compound interest
  13. 13Logarithmic Functions
    1. 13.1What is a logarithm?
    2. 13.2Converting from logarithmic form to exponential form
    3. 13.3Evaluating logarithms without a calculator
    4. 13.4Common logarithms
    5. 13.5Natural log: ln
    6. 13.6Evaluating logarithms using change-of-base formula
    7. 13.7Converting from exponential form to logarithmic form
    8. 13.8Solving exponential equations with logarithms
    9. 13.9Product rule of logarithms
    10. 13.10Quotient rule of logarithms
    11. 13.11Combining product rule and quotient rule in logarithms
    12. 13.12Evaluating logarithms using logarithm rules
    13. 13.13Solving logarithmic equations
    14. 13.14Graphing logarithmic functions
    15. 13.15Finding a logarithmic function given its graph
  14. 14Introduction to Polynomials
    1. 14.1Characteristics of polynomials
    2. 14.2Equivalent expressions of polynomials
    3. 14.3Adding and subtracting polynomials
  15. 15Multiplying and Dividing Polynomials
    1. 15.1Multiplying and dividing monomials
    2. 15.2Multiplying polynomials by monomials
    3. 15.3Dividing polynomials by monomials
  16. 16Operations of Polynomials
    1. 16.1What is a polynomial?
    2. 16.2Polynomial components
    3. 16.3Multiplying monomial by monomial
    4. 16.4Multiplying monomial by binomial
    5. 16.5Multiplying binomial by binomial
    6. 16.6Multiplying polynomial by polynomial
    7. 16.7Applications of polynomials
  17. 17Factorising Polynomial Expressions
    1. 17.1Common factors of polynomials
    2. 17.2Factorising polynomials by grouping
    3. 17.3Solving polynomials with the unknown "b" from x^2 + bx + c
    4. 17.4Solving polynomials with the unknown "c" from x^2 + bx + c
    5. 17.5Factorising polynomials: x^2 + bx + c
    6. 17.6Applications of polynomials: x^2 + bx + c
    7. 17.7Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
    8. 17.8Factorising polynomials: ax2+bx+cax^2 + bx + c
    9. 17.9Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
    10. 17.10Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
    11. 17.11Evaluating polynomials
    12. 17.12Using algebra tiles to factorise polynomials
    13. 17.13Solving polynomial equations
    14. 17.14Word problems of polynomials
  18. 18Factorising Polynomial (Advanced)
    1. 18.1Factorise by taking out the greatest common factor
    2. 18.2Factorise by grouping
    3. 18.3Factorising difference of squares: x^2 - y^2
    4. 18.4Factorising trinomials
    5. 18.5Factoring difference of cubes
    6. 18.6Factoring sum of cubes
  19. 19Quadratic Functions
    1. 19.1Characteristics of quadratic functions
    2. 19.2Transformations of quadratic functions
    3. 19.3Quadratic function in general form: y = ax^2 + bx + c
    4. 19.4Quadratic function in vertex form: y = a(x-p)^2 + q
    5. 19.5Completing the square
    6. 19.6Converting from general to vertex form by completing the square
    7. 19.7Shortcut: Vertex formula
    8. 19.8Graphing parabolas for given quadratic functions
    9. 19.9Finding the quadratic functions for given parabolas
    10. 19.10Applications of quadratic functions
  20. 20Conics
    1. 20.1Conics - Parabola
    2. 20.2Conics - Ellipse
    3. 20.3Conics - Circle
    4. 20.4Conics - Hyperbola
  21. 21Radicals
    1. 21.1Square and square roots
    2. 21.2Cubic and cube roots
    3. 21.3Evaluating and simplifying radicals
    4. 21.4Converting radicals to mixed radicals
    5. 21.5Converting radicals to entire radicals
    6. 21.6Adding and subtracting radicals
    7. 21.7Multiplying and dividing radicals
    8. 21.8Rationalize the denominator
  22. 22Algebraic Fractions
    1. 22.1Simplifying algebraic fractions and restrictions
    2. 22.2Adding and subtracting algebraic fractions
    3. 22.3Multiplying algebraic fractions
    4. 22.4Dividing algebraic fractions
    5. 22.5Solving equations with algebraic fractions
    6. 22.6Applications of equations with algebraic fractions
    7. 22.7Simplifying complex fractions
    8. 22.8Partial fraction decomposition
  23. 23Reciprocal Functions
    1. 23.1Graphing reciprocals of linear functions
    2. 23.2Graphing reciprocals of quadratic functions
  24. 24Scale Factors and Similarity
    1. 24.1Enlargements and reductions with scale factors
    2. 24.2Scale diagrams
    3. 24.3Similar triangles
    4. 24.4Similar polygons
  25. 25Properties of Triangles
    1. 25.1Classifying Triangles
    2. 25.2Isosceles and Equilateral Triangles
  26. 26Congruent Triangles
    1. 26.1Congruence and congruent triangles
    2. 26.2Triangles congruent by SSS proofs
    3. 26.3Triangles congruent by SAS and HL proofs
    4. 26.4Triangles congruent by ASA and AAS proofs
  27. 27Pythagorean Theorem
    1. 27.1Squares and square roots
    2. 27.2Pythagorean theorem
    3. 27.3Estimating square roots
    4. 27.4Using the pythagorean relationship
    5. 27.5Applications of pythagorean theorem
  28. 28Introduction to Surface Area of 3D Shapes
    1. 28.1Introduction to surface area of 3-dimensional shapes
    2. 28.2Nets of 3-dimensional shapes
    3. 28.3Surface area of prisms
    4. 28.4Surface area of cylinders
  29. 29Introduction to Volume
    1. 29.1Introduction to volume
    2. 29.2Volume of prisms
    3. 29.3Volume of cylinders
    4. 29.4Word problems relating volume of prisms and cylinders
  30. 30Surface Area and Volume
    1. 30.1Surface area and volume of prisms
    2. 30.2Surface area and volume of pyramids
    3. 30.3Surface area and volume of cylinders
    4. 30.4Surface area and volume of cones
    5. 30.5Surface area and volume of spheres
  31. 31Circles
    1. 31.1Circles and circumference
    2. 31.2Angles in a circle
    3. 31.3Arcs of a circle
    4. 31.4Areas and sectors of circles
  32. 32Introduction to Trigonometry
    1. 32.1Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h} )
    2. 32.2Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h} )
    3. 32.3Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a} )
    4. 32.4Combination of SohCahToa questions
    5. 32.5Solving expressions using 45-45-90 special right triangles
    6. 32.6Solving expressions using 30-60-90 special right triangles
    7. 32.7Word problems relating ladder in trigonometry
    8. 32.8Word problems relating guy wire in trigonometry
    9. 32.9Other word problems relating angles in trigonometry
  33. 33Trigonometric Ratios and Angle Measure
    1. 33.1Standard angle
    2. 33.2Coterminal angles
    3. 33.3Reference angles
    4. 33.4Find the exact value of trigonometric ratios
    5. 33.5ASTC rule in trigonometry (All Students Take Calculus)
    6. 33.6Unit circle
    7. 33.7Sine rule
    8. 33.8Cosine rule
    9. 33.9Applications of the sine rule and cosine rule
  34. 34Bearings
    1. 34.1Introduction to bearings
    2. 34.2Bearings and direction word problems
    3. 34.3Angle of elevation and depression
  35. 35Graphing Trigonometric Functions
    1. 35.1Sine graph: y = sin x
    2. 35.2Cosine graph: y = cos x
    3. 35.3Tangent graph: y = tan x
    4. 35.4Cotangent graph: y = cot x
    5. 35.5Secant graph: y = sec x
    6. 35.6Cosecant graph: y = csc x
    7. 35.7Graphing transformations of trigonometric functions
    8. 35.8Determining trigonometric functions given their graphs
  36. 36Introduction to Probability
    1. 36.1Introduction to probability
    2. 36.2Organizing outcomes
    3. 36.3Probability of independent events
    4. 36.4Comparing experimental and theoretical probability
  37. 37Statistics
    1. 37.1Median and mode
    2. 37.2Mean
    3. 37.3Range and outliers
    4. 37.4Application of averages
  38. 38Data and Graphs
    1. 38.1Reading and drawing bar graphs
    2. 38.2Reading and drawing histograms
    3. 38.3Reading and drawing line graphs
    4. 38.4Box-and-whisker plots and scatter plots
    5. 38.5Pie charts
    6. 38.6Reading and drawing Venn diagrams
    7. 38.7Stem-and-leaf plots
    8. 38.8Frequency tables and dot plots
  39. 39Introduction to Matrices
    1. 39.1Notation of matrices
    2. 39.2Adding and subtracting matrices
    3. 39.3Scalar multiplication
    4. 39.4Matrix multiplication
    5. 39.5The three types of matrix row operations
    6. 39.6Representing a linear system as a matrix
    7. 39.7Solving a linear system with matrices using Gaussian elimination
  40. 40Determinants and Inverses of Matrices
    1. 40.1The determinant of a 2 x 2 matrix
    2. 40.2The determinant of a 3 x 3 matrix (General & Shortcut Method)
    3. 40.3The inverse of a 2 x 2 matrix
    4. 40.4The inverse of 3 x 3 matrices with matrix row operations
    5. 40.5The inverse of 3 x 3 matrix with determinants and adjugate
    6. 40.62 x 2 invertible matrix
    7. 40.7Solving linear systems using Cramer's Rule
    8. 40.8Solving linear systems using 2 x 2 inverse matrices
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