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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. 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
  5. 5Coordinates, Quadrants, and Transformations
    1. 5.1Cartesian plane
    2. 5.2Draw on coordinate planes
    3. 5.3Introduction to transformations
    4. 5.4Horizontal and vertical distances
  6. 6Angles, Lines and Transversals
    1. 6.1Pairs of lines and angles
    2. 6.2Parallel lines and transversals
    3. 6.3Parallel line proofs
    4. 6.4Perpendicular line proofs
    5. 6.5Parallel and perpendicular line segments
    6. 6.6Perpendicular bisectors
    7. 6.7Angle Bisectors
  7. 7Properties of Triangles
    1. 7.1Classifying Triangles
    2. 7.2Isosceles and Equilateral Triangles
  8. 8Congruent Triangles
    1. 8.1Congruence and Congruent Triangles
    2. 8.2Triangles Congruent by SSS Proofs
    3. 8.3Triangles Congruent by SAS and HL Proofs
    4. 8.4Triangles Congruent by ASA and AAS Proofs
  9. 9Symmetry and Surface Area
    1. 9.1Line symmetry
    2. 9.2Rotational symmetry and transformations
    3. 9.3Surface area of 3-dimensional shapes
  10. 10Pythagorean Theorem
    1. 10.1Squares and square roots
    2. 10.2Pythagorean theorem
    3. 10.3Estimating square roots
    4. 10.4Using the pythagorean relationship
    5. 10.5Applications of pythagorean theorem
  11. 11Surface Area of 3D Shapes
    1. 11.1Introduction to surface area of 3-dimensional shapes
    2. 11.2Nets of 3-dimensional shapes
    3. 11.3Surface area of prisms
    4. 11.4Surface area of cylinders
  12. 12Circle Geometry
    1. 12.1Angles in a circle
    2. 12.2Chord properties
    3. 12.3Tangent properties
    4. 12.4Circles and circumference
    5. 12.5Arcs of a circle
    6. 12.6Areas and sectors of circles
    7. 12.7Inscribed Angles and Proofs
    8. 12.8Central and inscribed angles in circles
  13. 13Volume of 3D Shapes
    1. 13.1Introduction to volume
    2. 13.2Volume of prisms
    3. 13.3Volume of cylinders
    4. 13.4Word problems relating volume of prisms and cylinders
  14. 14Scale Factors and Similarity
    1. 14.1Enlargements and reductions with scale factors
    2. 14.2Scale diagrams
    3. 14.3Similar triangles
    4. 14.4Similar polygons
  15. 15Trigonometry
    1. 15.1Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h} )
    2. 15.2Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h} )
    3. 15.3Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a} )
    4. 15.4Combination of SohCahToa questions
    5. 15.5Solving expressions using 45-45-90 special right triangles
    6. 15.6Solving expressions using 30-60-90 special right triangles
    7. 15.7Word problems relating ladder in trigonometry
    8. 15.8Word problems relating guy wire in trigonometry
    9. 15.9Other word problems relating angles in trigonometry
  16. 16Solving Linear Equations
    1. 16.1Solving linear equations using multiplication and division
    2. 16.2Solving two-step linear equations: ax + b = c, x/a + b = c
    3. 16.3Solving linear equations using distributive property: a(x + b) = c
    4. 16.4Solving linear equations with variables on both sides
    5. 16.5Solving literal equations
  17. 17Linear Inequalities
    1. 17.1Express linear inequalities graphically and algebraically
    2. 17.2Solving one-step linear inequalities
    3. 17.3Solving multi-step linear inequalities
    4. 17.4Compound inequalities
  18. 18Introduction to Relations and Functions
    1. 18.1Relationship between two variables
    2. 18.2Understand relations between x- and y-intercepts
    3. 18.3Domain and range of a function
    4. 18.4Identifying functions
    5. 18.5Function notation
  19. 19Linear Functions
    1. 19.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 19.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 19.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 19.4Gradient intercept form: y = mx + b
    5. 19.5General form: Ax + By + C = 0
    6. 19.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    7. 19.7Rate of change
    8. 19.8Graphing linear functions using table of values
    9. 19.9Graphing linear functions using x- and y-intercepts
    10. 19.10Graphing from gradient-intercept form y=mx+b
    11. 19.11Graphing linear functions using a single point and gradient
    12. 19.12Word problems of graphing linear functions
    13. 19.13Parallel and perpendicular lines in linear functions
    14. 19.14Applications of linear relations
  20. 20Linear equations (Advanced)
    1. 20.1Introduction to linear equations
    2. 20.2Introduction to nonlinear equations
    3. 20.3Special case of linear equations: Horizontal lines
    4. 20.4Special case of linear equations: Vertical lines
    5. 20.5Parallel line equation
    6. 20.6Perpendicular line equation
    7. 20.7Combination of both parallel and perpendicular line equations
    8. 20.8Applications of linear equations
  21. 21Solving Simultaneous Equations
    1. 21.1Determining number of solutions to linear equations
    2. 21.2Solving simultaneous equations by graphing
    3. 21.3Solving simultaneous equations by elimination
    4. 21.4Solving simultaneous equations by substitution
    5. 21.5Money related questions in linear equations
    6. 21.6Unknown number related questions in linear equations
    7. 21.7Distance and time related questions in linear equations
    8. 21.8Rectangular shape related questions in linear equations
  22. 22Exponents
    1. 22.1Product rule of exponents
    2. 22.2Quotient rule of exponents
    3. 22.3Power of a product rule
    4. 22.4Power of a quotient rule
    5. 22.5Power of a power rule
    6. 22.6Negative exponent rule
    7. 22.7Combining the exponent rules
    8. 22.8Scientific notation
    9. 22.9Convert between radicals and rational exponents
    10. 22.10Solving for exponents
  23. 23Operations of Polynomials
    1. 23.1What is a polynomial?
    2. 23.2Polynomial components
    3. 23.3Multiplying monomial by monomial
    4. 23.4Multiplying monomial by binomial
    5. 23.5Multiplying binomial by binomial
    6. 23.6Multiplying polynomial by polynomial
    7. 23.7Applications of polynomials
  24. 24Exponential Functions
    1. 24.1Exponents: Product rule (a^x)(a^y) = a^(x+y)
    2. 24.2Exponents: Division rule (a^x / a^y) = a^(x-y)
    3. 24.3Exponents: Power rule (a^x)^y = a^(x * y)
    4. 24.4Exponents: Negative exponents
    5. 24.5Exponents: Zero exponent: a^0 = 1
    6. 24.6Exponents: Rational exponents
    7. 24.7Graphing exponential functions
    8. 24.8Graphing transformations of exponential functions
    9. 24.9Finding an exponential function given its graph
  25. 25Factorising Polynomial Functions
    1. 25.1Common factors of polynomials
    2. 25.2Factorising polynomials by grouping
    3. 25.3Solving polynomials with the unknown "b" from x^2 + bx + c
    4. 25.4Solving polynomials with the unknown "c" from x^2 + bx + c
    5. 25.5Factorising polynomials: x^2 + bx + c
    6. 25.6Applications of polynomials: x^2 + bx + c
    7. 25.7Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
    8. 25.8Factorising polynomials: ax2+bx+cax^2 + bx + c
    9. 25.9Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
    10. 25.10Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
    11. 25.11Evaluating polynomials
    12. 25.12Using algebra tiles to factorise polynomials
    13. 25.13Solving polynomial equations
    14. 25.14Word problems of polynomials
  26. 26Quadratic Functions
    1. 26.1Characteristics of quadratic functions
    2. 26.2Transformations of quadratic functions
    3. 26.3Quadratic function in general form: y = ax^2 + bx + c
    4. 26.4Quadratic function in vertex form: y = a(x-p)^2 + q
    5. 26.5Completing the square
    6. 26.6Converting from general to vertex form by completing the square
    7. 26.7Shortcut: Vertex formula
    8. 26.8Graphing parabolas for given quadratic functions
    9. 26.9Finding the quadratic functions for given parabolas
    10. 26.10Applications of quadratic functions
  27. 27Algebraic Fractions
    1. 27.1Simplifying algebraic fractions and restrictions
    2. 27.2Adding and subtracting algebraic fractions
    3. 27.3Multiplying algebraic fractions
    4. 27.4Dividing algebraic fractions
    5. 27.5Solving equations with algebraic fractions
    6. 27.6Applications of equations with algebraic fractions
    7. 27.7Simplifying complex fractions
    8. 27.8Partial fraction decomposition
  28. 28Reciprocal Functions
    1. 28.1Graphing reciprocals of linear functions
    2. 28.2Graphing reciprocals of quadratic functions
  29. 29Direct and Inverse Variation
    1. 29.1Direct variation
  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
    5. 31.5Circle graphs
  32. 32Introduction to Matrices
    1. 32.1Notation of matrices
    2. 32.2Adding and subtracting matrices
    3. 32.3Scalar multiplication
    4. 32.4Matrix multiplication
    5. 32.5The three types of matrix row operations
    6. 32.6Representing a linear system as a matrix
    7. 32.7Solving a linear system with matrices using Gaussian elimination
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