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  1. 1Adding and Subtracting Integers
    1. 1.1Introduction to integer addition
    2. 1.2Adding integers
    3. 1.3Introduction to integer subtraction
    4. 1.4Subtracting integers
    5. 1.5Application of integer operations
  2. 2Multiplying and Dividing Integers
    1. 2.1Understanding integer multiplication
    2. 2.2Multiplying integers
    3. 2.3Understanding integer division
    4. 2.4Dividing integers
    5. 2.5Applications of integer operations
  3. 3Operations with Decimals
    1. 3.1Adding and subtracting decimals
    2. 3.2Multiplying decimals
    3. 3.3Dividing decimals
    4. 3.4Order of operations (BEDMAS)
  4. 4Adding and Subtracting Fractions
    1. 4.1Using models to add and subtract fractions
    2. 4.2Adding fractions with like denominators
    3. 4.3Subtracting fractions with like denominators
    4. 4.4Adding and subtracting fractions with unlike denominators
    5. 4.5Adding and subtracting mixed numbers
  5. 5Multiplying and Dividing Fractions
    1. 5.1Multiplying fractions and whole numbers
    2. 5.2Dividing fractions with whole numbers
    3. 5.3Multiplying proper fractions
    4. 5.4Multiplying improper fractions and mixed numbers
    5. 5.5Dividing fractions and mixed numbers
    6. 5.6Applications of fraction operations
  6. 6Introduction to Variables and Expressions
    1. 6.1Evaluating algebraic expressions
  7. 7Coordinates, Quadrants, and Transformations
    1. 7.1Cartesian plane
    2. 7.2Draw on coordinate planes
    3. 7.3Introduction to transformations
    4. 7.4Horizontal and vertical distances
  8. 8Number System
    1. 8.1Understanding the number systems
    2. 8.2Prime factorization
    3. 8.3Greatest Common Factors (GCF)
    4. 8.4Least Common Multiple (LCM)
    5. 8.5Rational vs. Irrational numbers
    6. 8.6Converting repeating decimals to fractions
  9. 9Set Theory
    1. 9.1Set notation
    2. 9.2Set builder notation
    3. 9.3Intersection and union of 2 sets
    4. 9.4Intersection and union of 3 sets
  10. 10Solving Linear Equations
    1. 10.1Solving linear equations using multiplication and division
    2. 10.2Solving two-step linear equations: ax+b=cax + b = c, xa+b=c{x \over a} + b = c
    3. 10.3Solving linear equations using distributive property: a(x+b)=ca(x + b) = c
    4. 10.4Solving linear equations with variables on both sides
    5. 10.5Solving literal equations
  11. 11Introduction to Relations and Functions
    1. 11.1Relationship between two variables
    2. 11.2Understand relations between x- and y-intercepts
    3. 11.3Domain and range of a function
    4. 11.4Identifying functions
    5. 11.5Function notation
  12. 12Linear Functions
    1. 12.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 12.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 12.3Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 12.4Slope intercept form: y = mx + b
    5. 12.5General form: Ax + By + C = 0
    6. 12.6Point-slope form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    7. 12.7Rate of change
    8. 12.8Graphing linear functions using table of values
    9. 12.9Graphing linear functions using x- and y-intercepts
    10. 12.10Graphing from slope-intercept form y=mx+b
    11. 12.11Graphing linear functions using a single point and slope
    12. 12.12Word problems of graphing linear functions
    13. 12.13Parallel and perpendicular lines in linear functions
    14. 12.14Applications of linear relations
  13. 13Linear Equations
    1. 13.1Introduction to linear equations
    2. 13.2Introduction to nonlinear equations
    3. 13.3Special case of linear equations: Horizontal lines
    4. 13.4Special case of linear equations: Vertical lines
    5. 13.5Parallel line equation
    6. 13.6Perpendicular line equation
    7. 13.7Combination of both parallel and perpendicular line equations
    8. 13.8Applications of linear equations
  14. 14Absolute Value
    1. 14.1Absolute value functions
    2. 14.2Solving absolute value equations
    3. 14.3Solving absolute value inequalities
  15. 15Systems of Linear Equations
    1. 15.1Solving systems of linear equations by graphing
    2. 15.2Using elimination method to solve systems of equations
    3. 15.3Using substitution method to solve systems of equations
    4. 15.4Solving 3 variable systems of equations by substitution
    5. 15.5Solving 3 variable systems of equations by elimination
    6. 15.6Solving 3 variable systems of equations with no or infinite solutions
    7. 15.7Word problems relating 3 variable systems of equations
    8. 15.8Solving linear systems using Cramer's Rule
    9. 15.9Solving linear systems using 2 x 2 inverse matrices
  16. 16Inequalities in One Variable
    1. 16.1Express linear inequalities graphically and algebraically
    2. 16.2Solving one-step linear inequalities
    3. 16.3Solving multi-step linear inequalities
    4. 16.4Compound inequalities
    5. 16.5Solving quadratic inequalities
  17. 17Inequalities in Two Variables
    1. 17.1Graphing linear inequalities in two variables
    2. 17.2Graphing systems of linear inequalities
    3. 17.3What is linear programming?
    4. 17.4Linear programming word problems
  18. 18Functions
    1. 18.1Function notation
    2. 18.2Composite functions
    3. 18.3Inverse functions
    4. 18.4Direct variation
  19. 19Exponents
    1. 19.1Exponents: Product rule (ax)(ay)=a(x+y) (a^x)(a^y)=a^{(x+y)}
    2. 19.2Exponents: Division rule axay=a(x−y){a^x \over a^y}=a^{(x-y)}
    3. 19.3Exponents: Power rule (ax)y=a(x⋅y) (a^x)^y = a^{(x\cdot y)}
    4. 19.4Exponents: Negative exponents
    5. 19.5Exponents: Zero exponent: a0=1 a^0 = 1
    6. 19.6Exponents: Rational exponents
    7. 19.7Solving exponential equations using exponent rules
    8. 19.8Scientific notation
  20. 20Operations with Polynomials
    1. 20.1Adding and subtracting polynomials
    2. 20.2Multiplying monomial by monomial
    3. 20.3Multiplying monomial by binomial
    4. 20.4Multiplying binomial by binomial
    5. 20.5Multiplying polynomial by polynomial
    6. 20.6Polynomial long division
    7. 20.7Polynomial synthetic division
  21. 21Factoring
    1. 21.1Factor by taking out the greatest common factor
    2. 21.2Factor by grouping
    3. 21.3Factoring difference of squares: x2−y2x^2 - y^2
    4. 21.4Factoring trinomials
  22. 22Quadratic Functions
    1. 22.1Introduction to quadratic functions
    2. 22.2Transformations of quadratic functions
    3. 22.3Quadratic function in general form: y=ax2+bx+cy = ax^2 + bx+c
    4. 22.4Quadratic function in vertex form: y=a(x−p)2+qy = a(x-p)^2 + q
    5. 22.5Completing the square
    6. 22.6Converting from general to vertex form by completing the square
    7. 22.7Shortcut: Vertex formula
    8. 22.8Graphing quadratic functions: General form VS. Vertex form
    9. 22.9Finding the quadratic functions for given parabolas
    10. 22.10Applications of quadratic functions
  23. 23Solving Quadratic Equations
    1. 23.1Solving quadratic equations by factoring
    2. 23.2Solving quadratic equations by completing the square
    3. 23.3Using quadratic formula to solve quadratic equations
    4. 23.4Nature of roots of quadratic equations: The discriminant
    5. 23.5Applications of quadratic equations
  24. 24Radicals
    1. 24.1Square and square roots
    2. 24.2Evaluating and simplifying radicals
    3. 24.3Operations with radicals
    4. 24.4Conversion between entire radicals and mixed radicals
    5. 24.5Adding and subtracting radicals
    6. 24.6Multiplying radicals
    7. 24.7Rationalize the denominator
    8. 24.8Solving radical equations
  25. 25Rational Expressions
    1. 25.1Simplifying rational expressions and restrictions
    2. 25.2Adding and subtracting rational expressions
    3. 25.3Multiplying rational expressions
    4. 25.4Dividing rational expressions
    5. 25.5Solving rational equations
    6. 25.6Applications of rational equations
    7. 25.7Simplifying complex fractions
    8. 25.8Partial fraction decomposition
  26. 26Polynomial Functions
    1. 26.1What is a polynomial function?
    2. 26.2Remainder theorem
    3. 26.3Factor theorem
    4. 26.4Rational zero theorem
    5. 26.5Characteristics of polynomial graphs
    6. 26.6Multiplicities of polynomials
    7. 26.7Imaginary zeros of polynomials
    8. 26.8Determining the equation of a polynomial function
    9. 26.9Applications of polynomial functions
    10. 26.10Solving polynomial inequalities
    11. 26.11Fundamental theorem of algebra
    12. 26.12Descartes' rule of signs
  27. 27Exponential Functions
    1. 27.1Graphing exponential functions
    2. 27.2Graphing transformations of exponential functions
    3. 27.3Finding an exponential function given its graph
    4. 27.4Exponential growth and decay by percentage
  28. 28Logarithmic Functions
    1. 28.1What is a logarithm?
    2. 28.2Converting from logarithmic form to exponential form
    3. 28.3Evaluating logarithms without a calculator
    4. 28.4Common logarithms
    5. 28.5Natural log: ln
    6. 28.6Evaluating logarithms using change-of-base formula
    7. 28.7Converting from exponential form to logarithmic form
    8. 28.8Solving exponential equations with logarithms
    9. 28.9Product rule of logarithms
    10. 28.10Quotient rule of logarithms
    11. 28.11Combining product rule and quotient rule in logarithms
    12. 28.12Evaluating logarithms using logarithm rules
    13. 28.13Solving logarithmic equations
    14. 28.14Graphing logarithmic functions
    15. 28.15Finding a logarithmic function given its graph
  29. 29Conics
    1. 29.1Conics - Parabola
    2. 29.2Conics - Ellipse
    3. 29.3Conics - Circle
    4. 29.4Conics - Hyperbola
  30. 30Imaginary and Complex Numbers
    1. 30.1Introduction to imaginary numbers
    2. 30.2Complex numbers and complex planes
    3. 30.3Adding and subtracting complex numbers
    4. 30.4Complex conjugates
    5. 30.5Multiplying and dividing complex numbers
  31. 31Sequences, Series, and Binomial Theorem
    1. 31.1Arithmetic sequences
    2. 31.2Arithmetic series
    3. 31.3Geometric sequences
    4. 31.4Geometric series
    5. 31.5Infinite geometric series
    6. 31.6Sigma notation
    7. 31.7Binomial theorem

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