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##### 1Linear Equations

##### 2Inequalities

##### 3Functions

##### 4Systems of Equations

- 4.1Determining number of solutions to linear equations
- 4.2Solving systems of linear equations by graphing
- 4.3Using elimination method to solve systems of equations
- 4.4Using substitution method to solve systems of equations
- 4.5Money related questions in linear equations
- 4.6Unknown number related questions in linear equations
- 4.7Distance and time related questions in linear equations
- 4.8Rectangular shape related questions in linear equations
- 4.9System of quadratic-quadratic equations
- 4.10Solving 3 variable systems of equations by substitution
- 4.11Solving 3 variable systems of equations by elimination
- 4.12Solving 3 variable systems of equations with no solution, infinite solutions
- 4.13Word problems relating 3 variable systems of equations

- 4.1Determining number of solutions to linear equations
##### 5Systems of Inequalities

##### 6Complex Numbers

##### 7Factoring

##### 8Quadratic Functions

##### 9Polynomials

- 9.1Characteristics of polynomials
- 9.2Adding and subtracting polynomials
- 9.3Multiplying polynomial by polynomial
- 9.4Polynomial long division
- 9.5Polynomial synthetic division
- 9.6Remainder theorem
- 9.7Rational zeroes theorem
- 9.8Characteristics of polynomial graphs
- 9.9Repeated factors (Multiplicities) in polynomials
- 9.10Imaginary zeros of polynomials
- 9.11Determining the equation of a polynomial function
- 9.12Pascal's triangle
- 9.13Binomial theorem
- 9.14What is a polynomial function?
- 9.15Applications of polynomial functions
- 9.16Solving polynomial inequalities
- 9.17Fundamental theorem of algebra
- 9.18Descartes' rule of signs

- 9.1Characteristics of polynomials
##### 10Radical Functions and Expressions

- 10.1Squares and Square Roots
- 10.2Cubic and Cube Roots
- 10.3Evaluating and simplifying radicals
- 10.4Multiplying and dividing radicals
- 10.5Adding and subtracting radicals
- 10.6Rationalize the denominator
- 10.7Basic radical functions
- 10.8Transformations of radical functions
- 10.9Solving radical equations
- 10.10Operations with radicals
- 10.11Conversion between entire radicals and mixed radicals
- 10.12Adding and subtracting radicals
- 10.13Multiplying radicals (advanced)

- 10.1Squares and Square Roots
##### 11Rational Exponents

##### 12Rational Functions and Expressions

- 12.1Quotient rule of exponents
- 12.2Power of a product rule
- 12.3Power of a quotient rule
- 12.4Negative exponent rule
- 12.5What is a rational function?
- 12.6Point of discontinuity
- 12.7Vertical asymptote
- 12.8Horizontal asymptote
- 12.9Slant asymptote
- 12.10Solving rational equations
- 12.11Solving rational inequalities
- 12.12Simplifying rational expressions and restrictions
- 12.13Adding and subtracting rational expressions
- 12.14Multiplying rational expressions
- 12.15Dividing rational expressions
- 12.16Applications of rational equations
- 12.17Simplifying complex fractions
- 12.18Partial fraction decomposition

- 12.1Quotient rule of exponents
##### 13Reciprocal Functions

##### 14Function Operations

##### 15Families of Functions

- 15.1Transformations of functions: Horizontal translations
- 15.2Transformations of functions: Vertical translations
- 15.3Reflection across the y-axis:
*y = f(-x)* - 15.4Reflection across the x-axis:
*y = -f(x)* - 15.5Horizontal stretches in transformations
- 15.6Vertical stretches in transformations
- 15.7Combining transformations of functions
- 15.8Even and odd functions

- 15.1Transformations of functions: Horizontal translations
##### 16Variation

##### 17Piecewise Functions

##### 18Logarithms

- 18.1What is a logarithm?
- 18.2Converting from logarithmic form to exponential form
- 18.3Evaluating logarithms without a calculator
- 18.4Common logarithms
- 18.5Evaluating logarithms using change-of-base formula
- 18.6Natural log: ln
- 18.7Converting from exponential form to logarithmic form
- 18.8Product law of logarithms
- 18.9Solving logarithmic equations
- 18.10Logarithmic scale: Richter scale (earthquake)
- 18.11Logarithmic scale: pH scale
- 18.12Logarithmic scale: dB scale
- 18.13Finance: Future value and present value

- 18.1What is a logarithm?
##### 19Exponential and Logarithmic Functions

- 19.1Graphing exponential functions
- 19.2Graphing transformations of exponential functions
- 19.3Finding an exponential function given its graph
- 19.4Graphing logarithmic functions
- 19.5Finding a logarithmic function given its graph
- 19.6Finance: compound interest
- 19.7Continuous growth and decay
- 19.8Solving exponential equations with logarithms

- 19.1Graphing exponential functions
##### 20Angle Measures

##### 21Trigonometry

- 21.1Solving first degree trigonometric equations
- 21.2Determining non-permissible values for trig expressions
- 21.3Solving second degree trigonometric equations
- 21.4Solving expressions using 45-45-90 special right triangles
- 21.5Solving expressions using 30-60-90 special right triangles
- 21.6Find the exact value of trigonometric ratios
- 21.7ASTC rule in trigonometry (All Students Take Calculus)
- 21.8Solving trigonometric equations involving multiple angles
- 21.9Solving trigonometric equations using pythagorean identities
- 21.10Solving trigonometric equations using sum and difference identities
- 21.11Solving trigonometric equations using double-angle identities
- 21.12Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
- 21.13Using cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ )
- 21.14Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$)
- 21.15Combination of SohCahToa questions
- 21.16Pythagorean theorem
- 21.17Unit circle
- 21.18Sine law
- 21.19Cosine law
- 21.20Word problems relating ladder in trigonometry
- 21.21Word problems relating guy wire in trigonometry
- 21.22Other word problems relating angles in trigonometry

- 21.1Solving first degree trigonometric equations
##### 22Bearings

##### 23Graphing Trigonometric Functions

##### 24Trigonometric Identities

##### 25Sequences and Series

##### 26Probability

##### 27Statistics

##### 28Parabolas

- 28.1Introduction to quadratic functions
- 28.2Quadratic function in general form: y = $ax^2 + bx+c$
- 28.3Quadratic function in vertex form:
*y = a(x-p)^2 + q* - 28.4Converting from general form to vertex form by completing the square
- 28.5Graphing parabolas for given quadratic functions
- 28.6Finding the quadratic functions for given parabolas

- 28.1Introduction to quadratic functions
##### 29Introduction to Conic Sections

##### 30Introduction to Matrices

##### 31Properties of Matrices

##### 32Determinants and Inverses of Matrices

- 32.1The determinant of a 2 x 2 matrix
- 32.2The determinant of a 3 x 3 matrix (General & Shortcut Method)
- 32.3The inverse of a 2 x 2 matrix
- 32.4The inverse of 3 x 3 matrices with matrix row operations
- 32.5The inverse of 3 x 3 matrix with determinants and adjugate
- 32.62 x 2 invertible matrix
- 32.7Solving linear systems using Cramer's Rule
- 32.8Solving linear systems using 2 x 2 inverse matrices

- 32.1The determinant of a 2 x 2 matrix
##### 33Transformations with Matrices