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1Understanding Integers
1. 1.1Place values
2. 1.2Comparing and ordering numbers
3. 1.3Rounding numbers
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
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
4Number Theory
1. 4.1Divisibility Rules
2. 4.2Determining Common Factors
3. 4.3Determining Common Multiples
4. 4.4Introduction to exponents
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
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
7Operation with Decimals
1. 7.1Adding and subtracting decimals
2. 7.2Multiplying decimals
3. 7.3Dividing decimals
4. 7.4Order of operations (BEDMAS)
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
9Ratios, Rates, and Proportions
1. 9.1Ratios
2. 9.2Rates
3. 9.3Proportions
10Introduction to Variables and Expressions
1. 10.1Evaluating algebraic expressions
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
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
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
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
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
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
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
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
19Linear Functions
1. 19.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ $d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}$
2. 19.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$ $M = (\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2})$
3. 19.3Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$ $m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}$
4. 19.4Slope intercept form: y = mx + b
5. 19.5General form: Ax + By + C = 0
6. 19.6Point-slope form: $y - y_1 = m (x - x_1)$ $y - y_{1} = m (x - x_{1})$
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
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
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
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
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
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
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
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
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
28Direct and Inverse Variation
1. 28.1Direct variation
29Trigonometry with Right Triangles
1. 29.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ $\frac{o}{h}$ )
2. 29.2Use cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ $\frac{a}{h}$ )
3. 29.3Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ $\frac{o}{a}$ )
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
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
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
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
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
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
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
36Statistics
1. 36.1Median and mode
2. 36.2Mean
3. 36.3Range and outliers
4. 36.4Application of averages
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
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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1Understanding Integers ?

2Adding and Subtracting Integers

3Multiplying and Dividing Integers

4Number Theory

5Adding and Subtracting Fractions

6Multiplying and Dividing Fractions

7Operation with Decimals

8Fractions, Decimals, and Percents

9Ratios, Rates, and Proportions

10Introduction to Variables and Expressions

11Solving Linear Equations

12Linear Inequalities

13Measuring Systems

14Number System

15Radicals

16Exponents

17Operations of Polynomials

18Introduction to Relations and Functions

19Linear Functions

20Systems of Equations

21Factoring Polynomials

22Quadratic Functions

23Solving Quadratic Equations

24Rational Expressions

25Function Notation

26Transformations of Functions

27Polynomial Functions

28Direct and Inverse Variation

29Trigonometry with Right Triangles

30Trigonometric Ratios and Angle Measure

31Law of Sines and Cosines

32Imaginary and Complex Numbers

33Angles, Lines, and Transversals

34Circles

35Surface Area and Volume

36Statistics

37Data and Graphs

38Probability

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1Understanding Integers