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### Start AP Calculus Math Early

**Please note this are the times this course will be taught**Wednesday- 2pm – 3pm (CST) Thursday – 3pm – 4pm (CST) Friday – 2pm – 3pm (CST) Saturday – 3pm – 4pm (CST) Sunday – 11am – 12pm (CST)
### $535

### Limits and Continuity

Evaluating functions
Inputs and outputs of a function
Composing functions
Quiz 1
### Differentiation:definition and basic derivative rules

Intro to slope-intercept form
Writing slope-intercept equations
### Differentiation:Composite, implicit and inverse functions

Composing functions
Quiz 1
Linear equations with unknown coefficients
### Contextual application of differentiation

Word problems with multiple units
Linear equations word problems
Interpreting function notation
Average rate of change word problems
Modelling with composite functions
### Applying derivatives to analyze functions

Maximum and Minimum points
Intervals where a function is positive, negative, increasing or decreasing
Interpreting features of graphs
Quiz 1
Distance formula
### Integration and accumulation of change

Completing the square
Quiz 1
### Applications of integration

Rational equations
Square-root equations
Extraneous solutions
### Parametric equations, polar coordinates, and vector-valued functions (BC only)

Sector
Vectors introduction
Vector components
Magnitude of vectors

Start A**P calculus **Early

This summer program will give students a head start in AP Calculus. In 33 live sessions, students will learn about transformation of functions and modeling with function, complex numbers, polynomials, composite and inverse functions, trigonometry, vectors and matrices, probabilities and combinatorics, series, and conic sections.

*Live classes are held from 3-4pm CST on Mondays, Tuesdays, Thursdays, and Saturdays; 2-3pm on Wednesdays and Fridays; and 11am to 12pm CST on Sundays.*

*Lesson 1*

- Piecewise functions
- Quiz 2
- Introduction to factoring

*Lesson 2*

- Factoring quadratics intro

*Lesson 3*

- Factoring by grouping
- Quiz 3
- Factoring quadratics with difference of squares

*Lesson 4*

- Factoring quadratics with perfect squares
- Factoring higher degree polynomial
- Quiz 4

*Lesson 5*

- Introduction to the trigonometric ratios
- The reciprocal trigonometric ratios
- Unit circle introduction Radians

*Lesson 6*

- The Pythagorean identity
- Quiz 5
- Special trigonometric values in the first quadrant
- Trigonometric identities on the unit circle

*Lesson 7*

- Angle addition identities
- Quiz 6
- Reducing rational expressions to lowest terms

*Lesson 8*

- End behaviour of rational functions
- Discontinuities of rational functions
- Multiplying and dividing rational expressions
- Quiz 7

*Lesson 9*

*Lesson 10*

- Point-slope form
- Average rate of change
- Quiz 1
- Rational exponents Properties of exponents

*Lesson 11*

- Quiz 2
- Introduction to logarithm
- Quiz 3

*Lesson 12*

*Lesson 13*

- Intro to inverse functions
- Quiz 2
- Invertible functions

*Lesson 14*

- Invertible functions

*Lesson 15*

- Inverse trigonometric functions

*Lesson 16*

- Quiz 3
- Inverse functions in graphs and tables
- Verifying inverse functions by composition
- Quiz 4

*Lesson 17*

*Lesson 18*

- Quiz 1
- Modelling with right triangles
- Volume and surface area
- Quiz 2

*Lesson 19*

*Lesson 20*

- Square root equations
- Quiz 2

*Lesson 21*

- Zero of polynomials
- Positive and negative of polynomials
- Quiz 3

*Lesson 22*

*Lesson 23*

- Dividing quadratics by linear factors
- Dividing polynomials by linear factors
- Quiz 2

*Lesson 24*

- Partial fraction expansion
- Summation notation

*Lesson 25*

*Lesson 26*

- Sinusoidal equations
- Manipulating formulas
- Quiz 1
- Solving equations by graphing

*Lesson 27*

- Quiz 2
- 2D vs. 3D objects
- Cavalieri’s principle and dissection method
- Quiz 3

*Lesson 28*

*Lesson 29*

- Scalar multiplication
- Direction of vectors
- Vector components from Magnitude and direction

*Lesson 30*

- Arithmetic sequences
- Geometric sequences
- Quiz 1
- Summation notation

*Lesson 31*

- Arithmetic series

*Lesson 32*

- Geometric series( geometric series formula, finite series word problems, finite geometric series)
- Quiz 2
- End behaviour of rational functions

*Lesson 33*

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