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THE ROAD MAP

  • Pending
  • In-progress
  • Done
  • To be extended
  1. Functions and relations
    1. Discrete vs continuous
    2. Domain and Range
    3. Functions vs relations
    4. Vertical line test
    5. One-to-one functions
    6. Horizontal line test
  2. Linear functions
    1. Domain and Range
    2. Slope and Y-intercept
    3. Slope-intercept Form
    4. Slope-point form
    5. General Form
    6. Convert between different forms
    7. Horizontal Line
    8. Vertical Line
    9. Applications
  3. Linear equations
    1. Solve linear equations
    2. Applications
  4. Monomials
    1. Is a monomial?
    2. Degree of a monomial
    3. Simplify a monomial
    4. Domain/restrictions
    5. Determine if two monomials are like
    6. Combine monomials
  5. Polynomials
    1. Evaluate polynomials
      1. Evaluate single-variable polynomials
      2. Evaluate multi-variable polynomials
      3. Applications
    2. Polynomial division
      1. Long Division
      2. Long Division Calculator
      3. Synthetic Division
      4. Synthetic Division Calculator
    3. Properties of Polynomials
      1. Determine if an expression is a polynomial
      2. Degree of a polynomial
      3. Leading coefficient of a polynomial
      4. Constant of a polynomial
      5. End behaviour
      6. Zeros and multiplicities
      7. Determine multiplicity from a graph
      8. Intervals of increasing and decreasing
      9. Possible number of turns
      10. Possible number of real roots
      11. Find the function given zeros and a point
    4. Simplify polynomials
      1. Add/subtract polynomials
      2. Multiply polynomials
    5. Remainder theorem
      1. Find the remainder
      2. Determine k given the remainder
      3. Determine m and n given the remainders
    6. Factor theorem
      1. Check if (x - a) is a factor
      2. Check if a is a zero or root
      3. Find k such that (x - a) is a factor
    7. Rational root theorem
      1. Find all possible rational roots
  6. Quadratic trinomial expressions
    1. Quadratic Trinomial Factoring I
    2. Quadratic Trinomial Factoring II
    3. Quadratic Trinomial Factoring III
    4. Quadratic trinomial factoring IV (2 variables)
    5. Quadratic trinomial factoring V (higher power)
    6. Quadratic trinomial factoring VI (more complex)
    7. Completing the squares
    8. Perfect square trinomial
  7. Quadratic equations
    1. The Discriminant
    2. Solve by factoring
    3. Solve by completing the square
    4. Solve by quadratic formula
    5. Applications
  8. Radical expressions
    1. Domain and range
    2. Simplify (mixed radical)
    3. Convert between radical and exponential forms
  9. Radical equations
    1. Solve radical equation
  10. Rational expressions
    1. Simplify rational expressions
      1. With integral positive exponents
      2. With fractional positive exponents
      3. With power groups
      4. With binomials and quadratic trinomials
    2. Rational expression restrictions
    3. Multiply and simplify rational expressions
    4. Divide and simplify rational expressions
    5. Add and subtract rational expressions
  11. Rational equations
    1. Solving rational equations
    2. Applications of rational equations
  12. Absolute values
    1. Absolute functions
      1. Evaluation
      2. Convert to piecewise form
      3. Linear case
      4. Quadratic case
      5. Domain and range
      6. Applications
    2. Absolute equations
      1. Single absolute value
      2. Double absolute values
    3. Absolute inequalities
      1. Single absolute value
      2. Double absolute values
  13. Logarithm
    1. Convert to exponential form
    2. Convert to logarithmic form
    3. Evaluate logarithm
    4. Use properties of logarithm
    5. Simplify logarithmic expressions
    6. Solve logarithmic equations
    7. Applications