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  1. 1Understanding Integers
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    1. 1.1Place values
    2. 1.2Comparing and ordering numbers
    3. 1.3Rounding numbers
  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. 4Number Theory
    1. 4.1Divisibility Rules
    2. 4.2Determining Common Factors
    3. 4.3Determining Common Multiples
    4. 4.4Introduction to exponents
  5. 5Adding and Subtracting Fractions
    1. 5.1Using models to add and subtract fractions
    2. 5.2Adding fractions with like denominators
    3. 5.3Subtracting fractions with like denominators
    4. 5.4Adding and subtracting fractions with unlike denominators
    5. 5.5Adding and subtracting mixed numbers
  6. 6Multiplying and Dividing Fractions
    1. 6.1Multiplying fractions and whole numbers
    2. 6.2Dividing fractions with whole numbers
    3. 6.3Multiplying proper fractions
    4. 6.4Multiplying improper fractions and mixed numbers
    5. 6.5Dividing fractions and mixed numbers
    6. 6.6Applications of fraction operations
  7. 7Operation with Decimals
    1. 7.1Adding and subtracting decimals
    2. 7.2Multiplying decimals
    3. 7.3Dividing decimals
    4. 7.4Order of operations (BEDMAS)
  8. 8Fractions, Decimals, and Percents
    1. 8.1Representing percents
    2. 8.2Percent of a number
    3. 8.3Converting among decimals, fractions, and percents
    4. 8.4Applications of percents
    5. 8.5Taxes, discounts, tips and more
  9. 9Ratios, Rates, and Proportions
    1. 9.1Ratios
    2. 9.2Rates
    3. 9.3Proportions
  10. 10Introduction to Variables and Expressions
    1. 10.1Evaluating algebraic expressions
  11. 11Solving Linear Equations
    1. 11.1Solving linear equations using multiplication and division
    2. 11.2Solving two-step linear equations: ax + b = c, x/a + b = c
    3. 11.3Solving linear equations using distributive property: a(x + b) = c
    4. 11.4Solving linear equations with variables on both sides
    5. 11.5Solving literal equations
  12. 12Linear Inequalities
    1. 12.1Express linear inequalities graphically and algebraically
    2. 12.2Solving one-step linear inequalities
    3. 12.3Solving multi-step linear inequalities
    4. 12.4Compound inequalities
    5. 12.5Graphing linear inequalities in two variables
  13. 13Measuring Systems
    1. 13.1Metric systems
    2. 13.2Imperial systems
    3. 13.3Conversions between metric and imperial systems
    4. 13.4Conversions involve squares and cubic
  14. 14Number System
    1. 14.1Understanding the number systems
    2. 14.2Prime factorization
    3. 14.3Greatest Common Factors (GCF)
    4. 14.4Least Common Multiple (LCM)
    5. 14.5Rational vs. Irrational numbers
    6. 14.6Converting repeating decimals to fractions
  15. 15Radicals
    1. 15.1Operations with radicals
    2. 15.2Conversion between entire radicals and mixed radicals
    3. 15.3Adding and subtracting radicals
    4. 15.4Multiplying radicals
    5. 15.5Solving radical equations
  16. 16Exponents
    1. 16.1Exponents: Product rule (a^x)(a^y) = a^(x+y)
    2. 16.2Exponents: Division rule (a^x / a^y) = a^(x-y)
    3. 16.3Exponents: Power rule (a^x)^y = a^(x * y)
    4. 16.4Exponents: Negative exponents
    5. 16.5Exponents: Zero exponent: a^0 = 1
    6. 16.6Exponents: Rational exponents
    7. 16.7Scientific notation
    8. 16.8Convert between radicals and rational exponents
    9. 16.9Solving for exponents
    10. 16.10Solving exponential equations using exponent rules
  17. 17Operations of Polynomials
    1. 17.1What is a polynomial?
    2. 17.2Polynomial components
    3. 17.3Multiplying monomial by monomial
    4. 17.4Multiplying monomial by binomial
    5. 17.5Multiplying binomial by binomial
    6. 17.6Multiplying polynomial by polynomial
    7. 17.7Applications of polynomials
  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. 19.3Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 19.4Slope intercept form: y = mx + b
    5. 19.5General form: Ax + By + C = 0
    6. 19.6Point-slope 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 slope-intercept form y=mx+b
    11. 19.11Graphing linear functions using a single point and slope
    12. 19.12Word problems of graphing linear functions
    13. 19.13Parallel and perpendicular lines in linear functions
    14. 19.14Applications of linear relations
  20. 20Systems of Equations
    1. 20.1Determining number of solutions to linear equations
    2. 20.2Solving systems of linear equations by graphing
    3. 20.3Using elimination method to solve systems of linear equations
    4. 20.4Using substitution method to solve systems of linear equations
    5. 20.5System of linear-quadratic equations
  21. 21Factoring Polynomials
    1. 21.1Factor by taking out the greatest common factor
    2. 21.2Factor by grouping
    3. 21.3Factoring difference of squares: x^2 - y^2
    4. 21.4Factoring trinomials
    5. 21.5Factoring difference of cubes
    6. 21.6Factoring sum of cubes
  22. 22Quadratic Functions
    1. 22.1Introduction to quadratic functions
    2. 22.2Transformations of quadratic functions
    3. 22.3Quadratic function in general form: y = ax^2 + bx + c
    4. 22.4Quadratic function in vertex form: y = 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
    6. 23.6Solving quadratic inequalities
  24. 24Rational Expressions
    1. 24.1Simplifying rational expressions and restrictions
    2. 24.2Adding and subtracting rational expressions
    3. 24.3Multiplying rational expressions
    4. 24.4Dividing rational expressions
    5. 24.5Solving rational equations
    6. 24.6Applications of rational equations
    7. 24.7Simplifying complex fractions
    8. 24.8Partial fraction decomposition
  25. 25Function Notation
    1. 25.1Function notation
    2. 25.2Operations with functions
    3. 25.3Adding functions
    4. 25.4Subtracting functions
    5. 25.5Multiplying functions
    6. 25.6Dividing functions
    7. 25.7Composite functions
    8. 25.8Inequalities of combined functions
    9. 25.9Inverse functions
    10. 25.10One to one functions
    11. 25.11Difference quotient: applications of functions
  26. 26Transformations of Functions
    1. 26.1Transformations of functions: Horizontal translations
    2. 26.2Transformations of functions: Vertical translations
    3. 26.3Reflection across the y-axis: y = f(-x)
    4. 26.4Reflection across the x-axis: y = -f(x)
    5. 26.5Transformations of functions: Horizontal stretches
    6. 26.6Transformations of functions: Vertical stretches
    7. 26.7Combining transformations of functions
    8. 26.8Even and odd functions
  27. 27Polynomial Functions
    1. 27.1What is a polynomial function?
    2. 27.2Polynomial long division
    3. 27.3Polynomial synthetic division
    4. 27.4Remainder theorem
    5. 27.5Factor theorem
    6. 27.6Rational zero theorem
    7. 27.7Characteristics of polynomial graphs
    8. 27.8Multiplicities of polynomials
    9. 27.9Imaginary zeros of polynomials
    10. 27.10Descartes' rule of signs
  28. 28Direct and Inverse Variation
    1. 28.1Direct variation
  29. 29Trigonometry with Right Triangles
    1. 29.1Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h} )
    2. 29.2Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h} )
    3. 29.3Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a} )
    4. 29.4Combination of SohCahToa questions
    5. 29.5Solving expressions using 45-45-90 special right triangles
    6. 29.6Solving expressions using 30-60-90 special right triangles
    7. 29.7Word problems relating ladder in trigonometry
    8. 29.8Word problems relating guy wire in trigonometry
    9. 29.9Other word problems relating angles in trigonometry
  30. 30Trigonometric Ratios and Angle Measure
    1. 30.1Standard angles
    2. 30.2Coterminal angles
    3. 30.3Reference angles
    4. 30.4Find the exact value of trigonometric ratios
    5. 30.5ASTC rule in trigonometry (All Students Take Calculus)
    6. 30.6Unit circle
    7. 30.7Converting between degrees and radians
    8. 30.8Trigonometric ratios of angles in radians
    9. 30.9Radian measure and arc length
  31. 31Law of Sines and Cosines
    1. 31.1Law of sines
    2. 31.2Law of cosines
    3. 31.3Applications of the sine law and cosine law
  32. 32Imaginary and Complex Numbers
    1. 32.1Introduction to imaginary numbers
    2. 32.2Adding and subtracting complex numbers
    3. 32.3Complex conjugates
    4. 32.4Multiplying and dividing complex numbers
  33. 33Angles, Lines, and Transversals
    1. 33.1Pairs of lines and angles
    2. 33.2Parallel lines and transversals
    3. 33.3Parallel line proofs
    4. 33.4Perpendicular line proofs
  34. 34Circles
    1. 34.1Circle and circumference
    2. 34.2Angles in a circle
    3. 34.3Arcs of a circle
    4. 34.4Areas and sectors of circles
    5. 34.5Conics - Circle
  35. 35Surface Area and Volume
    1. 35.1Surface area and volume of prisms
    2. 35.2Surface area and volume of pyramids
    3. 35.3Surface area and volume of cylinders
    4. 35.4Surface area and volume of cones
    5. 35.5Surface area and volume of spheres
  36. 36Statistics
    1. 36.1Median and mode
    2. 36.2Mean
    3. 36.3Range and outliers
    4. 36.4Application of averages
  37. 37Data and Graphs
    1. 37.1Reading and drawing bar graphs
    2. 37.2Reading and drawing histograms
    3. 37.3Reading and drawing line graphs
    4. 37.4Box-and-whisker plots and scatter plots
    5. 37.5Stem-and-leaf plots
    6. 37.6Reading and drawing Venn diagrams
  38. 38Probability
    1. 38.1Determining probabilities using tree diagrams and tables
    2. 38.2Probability of independent events
    3. 38.3Probability with Venn diagrams
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