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  1. 1Number Theory
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    1. 1.1Divisibility Rules
    2. 1.2Prime factorization
    3. 1.3Determining Common Factors
    4. 1.4Determining Common Multiples
    5. 1.5Introduction to Exponents
  2. 2Adding and Subtracting Integers
    1. 2.1Introduction to integer addition
    2. 2.2Adding integers
    3. 2.3Introduction to integer subtraction
    4. 2.4Subtracting integers
    5. 2.5Application of integer operations
  3. 3Multiplying and Dividing Integers
    1. 3.1Understanding integer multiplication
    2. 3.2Multiplying integers
    3. 3.3Understanding integer division
    4. 3.4Dividing integers
    5. 3.5Applications of integer operations
  4. 4Rational Numbers
    1. 4.1Comparing and ordering rational numbers
    2. 4.2Solving problems with rational numbers in decimal form
    3. 4.3Solving problems with rational numbers in fraction form
    4. 4.4Determine square roots of rational numbers
  5. 5Radicals
    1. 5.1Square and square roots
    2. 5.2Cubic and cube roots
    3. 5.3Evaluating and simplifying radicals
    4. 5.4Converting radicals to mixed radicals
    5. 5.5Converting radicals to entire radicals
    6. 5.6Adding and subtracting radicals
    7. 5.7Multiplying and dividing radicals
    8. 5.8Rationalize the denominator
  6. 6Exponents
    1. 6.1Product rule of exponents
    2. 6.2Quotient rule of exponents
    3. 6.3Power of a product rule
    4. 6.4Power of a quotient rule
    5. 6.5Power of a power rule
    6. 6.6Negative exponent rule
    7. 6.7Combining the exponent rules
    8. 6.8Scientific notation
    9. 6.9Convert between radicals and rational exponents
    10. 6.10Solving for exponents
  7. 7Ratios, Rates and Proportions
    1. 7.1Ratios
    2. 7.2Rates
    3. 7.3Proportions
  8. 8Proportional Relationships
    1. 8.1Identifying proportional relationships
    2. 8.2Understanding graphs of proportional relationships
    3. 8.3Graphing and writing equations of proportional relationships
    4. 8.4Applications of proportional relationships
  9. 9Percents
    1. 9.1Representing percents
    2. 9.2Percent of a number
    3. 9.3Converting among decimals, fractions, and percents
    4. 9.4Applications of percents
    5. 9.5Taxes, discounts, tips and more
    6. 9.6Simple interest
  10. 10Measuring Systems
    1. 10.1Metric systems
    2. 10.2Imperial systems
    3. 10.3Conversions between metric and imperial systems
    4. 10.4Conversions involve squares and cubic
  11. 11Coordinates, Quadrants, and Transformations
    1. 11.1Cartesian plane
    2. 11.2Draw on coordinate planes
    3. 11.3Introduction to transformations
    4. 11.4Horizontal and vertical distances
  12. 12Angles, Lines and Transversals
    1. 12.1Pairs of lines and angles
    2. 12.2Parallel lines and transversals
    3. 12.3Parallel line proofs
    4. 12.4Perpendicular line proofs
    5. 12.5Parallel and perpendicular line segments
    6. 12.6Perpendicular bisectors
    7. 12.7Angle bisectors
  13. 13Properties of Triangles
    1. 13.1Classifying Triangles
    2. 13.2Isosceles and Equilateral Triangles
  14. 14Congruent Triangles
    1. 14.1Congruence and Congruent Triangles
    2. 14.2Triangles Congruent by SSS Proofs
    3. 14.3Triangles Congruent by SAS and HL Proofs
    4. 14.4Triangles Congruent by ASA and AAS Proofs
  15. 15Symmetry and Surface Area
    1. 15.1Line symmetry
    2. 15.2Rotational symmetry and transformations
    3. 15.3Surface area of 3-dimensional shapes
  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. 17Surface Area of 3D Shapes
    1. 17.1Introduction to surface area of 3-dimensional shapes
    2. 17.2Nets of 3-dimensional shapes
    3. 17.3Surface area of prisms
    4. 17.4Surface area of cylinders
  18. 18Circles
    1. 18.1Circles and circumference
    2. 18.2Angles in a circle
    3. 18.3Arcs of a circle
    4. 18.4Areas and sectors of circles
  19. 19Volume of 3D Shapes
    1. 19.1Introduction to volume
    2. 19.2Volume of prisms
    3. 19.3Volume of cylinders
    4. 19.4Word problems relating volume of prisms and cylinders
  20. 20Scale Factors and Similarity
    1. 20.1Enlargements and reductions with scale factors
    2. 20.2Scale diagrams
    3. 20.3Similar triangles
    4. 20.4Similar polygons
  21. 21Linear Equations (Basic)
    1. 21.1Model and solve one-step linear equations: ax = b, x/a = b
    2. 21.2Solving two-step linear equations using addition and subtraction: ax + b = c
    3. 21.3Solving two-step linear equations using multiplication and division: x/a + b = c
    4. 21.4Solving two-step linear equations using distributive property: a(x + b) = c
  22. 22Solving Linear Equations
    1. 22.1Solving linear equations using multiplication and division
    2. 22.2Solving two-step linear equations: ax + b = c, x/a + b = c
    3. 22.3Solving linear equations using distributive property: a(x + b) = c
    4. 22.4Solving linear equations with variables on both sides
    5. 22.5Solving literal equations
  23. 23Linear Inequalities
    1. 23.1Express linear inequalities graphically and algebraically
    2. 23.2Solving one-step linear inequalities
    3. 23.3Solving multi-step linear inequalities
    4. 23.4Compound inequalities
  24. 24Introduction to Relations and Functions
    1. 24.1Relationship between two variables
    2. 24.2Understand relations between x- and y-intercepts
    3. 24.3Domain and range of a function
    4. 24.4Identifying functions
    5. 24.5Function notation
  25. 25Linear Functions
    1. 25.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 25.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 25.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 25.4Gradient intercept form: y = mx + b
    5. 25.5General form: Ax + By + C = 0
    6. 25.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    7. 25.7Rate of change
    8. 25.8Graphing linear functions using table of values
    9. 25.9Graphing linear functions using x- and y-intercepts
    10. 25.10Graphing from gradient-intercept form y=mx+b
    11. 25.11Graphing linear functions using a single point and gradient
    12. 25.12Word problems of graphing linear functions
    13. 25.13Parallel and perpendicular lines in linear functions
    14. 25.14Applications of linear relations
  26. 26Linear equations (Advanced)
    1. 26.1Introduction to linear equations
    2. 26.2Introduction to nonlinear equations
    3. 26.3Special case of linear equations: Horizontal lines
    4. 26.4Special case of linear equations: Vertical lines
    5. 26.5Parallel line equation
    6. 26.6Perpendicular line equation
    7. 26.7Combination of both parallel and perpendicular line equations
    8. 26.8Applications of linear equations
  27. 27Solving Simultaneous Equations
    1. 27.1Determining number of solutions to linear equations
    2. 27.2Solving simultaneous equations by graphing
    3. 27.3Solving simultaneous equations by elimination
    4. 27.4Solving simultaneous equations by substitution
    5. 27.5Money related questions in linear equations
    6. 27.6Unknown number related questions in linear equations
    7. 27.7Distance and time related questions in linear equations
    8. 27.8Rectangular shape related questions in linear equations
  28. 28Adding and Subtracting Polynomials
    1. 28.1Multiplying and dividing monomials
    2. 28.2Multiplying polynomials by monomials
    3. 28.3Dividing polynomials by monomials
  29. 29Multiplying and Dividing Polynomials
    1. 29.1What is a polynomial?
    2. 29.2Polynomial components
    3. 29.3Multiplying monomial by monomial
    4. 29.4Multiplying monomial by binomial
    5. 29.5Multiplying binomial by binomial
    6. 29.6Multiplying polynomial by polynomial
    7. 29.7Applications of polynomials
  30. 30Factorising Polynomial Functions
    1. 30.1Common factors of polynomials
    2. 30.2Factorising polynomials by grouping
    3. 30.3Solving polynomials with the unknown "b" from x^2 + bx + c
    4. 30.4Solving polynomials with the unknown "c" from x^2 + bx + c
    5. 30.5Factorising polynomials: x^2 + bx + c
    6. 30.6Applications of polynomials: x^2 + bx + c
    7. 30.7Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
    8. 30.8Factorising polynomials: ax2+bx+cax^2 + bx + c
    9. 30.9Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
    10. 30.10Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
    11. 30.11Evaluating polynomials
    12. 30.12Using algebra tiles to factorise polynomials
    13. 30.13Solving polynomial equations
    14. 30.14Word problems of polynomials
  31. 31Quadratic Functions
    1. 31.1Characteristics of quadratic functions
    2. 31.2Transformations of quadratic functions
    3. 31.3Quadratic function in general form: y = ax^2 + bx + c
    4. 31.4Quadratic function in vertex form: y = a(x-p)^2 + q
    5. 31.5Completing the square
    6. 31.6Converting from general to vertex form by completing the square
    7. 31.7Shortcut: Vertex formula
    8. 31.8Graphing parabolas for given quadratic functions
    9. 31.9Finding the quadratic functions for given parabolas
    10. 31.10Applications of quadratic functions
  32. 32Algebraic Fractions
    1. 32.1Simplifying algebraic fractions and restrictions
    2. 32.2Adding and subtracting algebraic fractions
    3. 32.3Multiplying algebraic fractions
    4. 32.4Dividing algebraic fractions
    5. 32.5Solving equations with algebraic fractions
    6. 32.6Applications of equations with algebraic fractions
    7. 32.7Simplifying complex fractions
    8. 32.8Partial fraction decomposition
  33. 33Reciprocal Functions
    1. 33.1Graphing reciprocals of linear functions
    2. 33.2Graphing reciprocals of quadratic functions
  34. 34Data and Graphs
    1. 34.1Reading and drawing bar graphs
    2. 34.2Reading and drawing histograms
    3. 34.3Reading and drawing line graphs
    4. 34.4Box-and-whisker plots and scatter plots
    5. 34.5Pie charts
    6. 34.6Reading and drawing Venn diagrams
    7. 34.7Stem-and-leaf plots
  35. 35Probability
    1. 35.1Determining probabilities using tree diagrams and tables
    2. 35.2Probability of independent events
    3. 35.3Probability with Venn diagrams
  36. 36Statistics
    1. 36.1Median and mode
    2. 36.2Mean
    3. 36.3Range and outliers
    4. 36.4Application of averages
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