1 1 Rectangular Coordinates How do you locate

1. 2 Graphs of Equations How do you identify intercepts and symmetry in order

1. 3 Linear Equations in Two Variables How do you find the slope of

1. 4 Functions What are the important defining characteristics and representations of a function?

1. 5 Analyzing Graphs of Functions How is the graph of a function used

1. 6 A Library of Parent Functions What are the characteristics of the most

1. 7 Transformations of Functions How do you write equations and draw graphs for

1. 8 Combinations of Functions: Composite Funtions How do you combine two parent functions

1. 9 Inverse Functions What is the inverse of a function and how do

2. 1 Quadratic Functions How do you sketch graphs and write equations of parabolas?

2. 2 Polynomial Functions of Higher Degree How do you sketch the graphs of

2. 3 Polynomial and Synthetic Division How do you divide a polynomial by another

2. 4 Complex Numbers How do you perform operations with complex numbers? 19. We

2. 5 Zeros of Polynomial Functions How do you find all the zeros of

2. 6 Rational Functions How do you find important information about the graph of

2. 7 Nonlinear Inequalities How do you find solutions of polynomial and rational inequalities?

3. 1 Exponential Functions and Their Graphs How do you write and graph exponential

3. 2 Logarithmic Functions and Their Graphs How do you recognize, evaluate, and graph

3. 3 Properties of Logarithms How do you rewrite logarithmic expressions to simplify or

3. 4 Exponential and Logarithmic Equations How do you solve exponential and logarithmic equations?

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1. 1 Rectangular Coordinates How do you locate points and find the distance and midpoint between two points in the Cartesian plane? 1. 2. Students can use the distance formula or the Pythagorean theorem to find the distance between any two points. Students can find the midpoint or endpoint of a line segment given two appropriate points using various methods.

1. 2 Graphs of Equations How do you identify intercepts and symmetry in order to sketch graphs of equations, including graphs of circles? 3. 4. 5. Students can find and identify the x and y intercepts of graphs of equations. Students can determine the symmetry of an equation using graphical tests or algebraic test. Students can write equations of and graph circles.

1. 3 Linear Equations in Two Variables How do you find the slope of a line and use it to write an equation for the line? 6. We will be able to find the slope of a line and write the equation of a line given appropriate information about the line. a. Horizontal/Vertical lines b. Point-slope/slope-intercept/general form c. Parallel/Perpendicular lines.

1. 4 Functions What are the important defining characteristics and representations of a function? 7. 8. 9. We will be able to understand use function notation. We will be able to determine the domain and range of a given function. We will be able to simplify a difference quotient.

1. 5 Analyzing Graphs of Functions How is the graph of a function used to determine the key elements of that function? 10. Students can determine intervals where a function is increasing, decreasing or constant and determine relative minimum and relative maximum values and find the zeros from a graph. 4. We will understand know how to find if a function is odd or even.

1. 6 A Library of Parent Functions What are the characteristics of the most commonly used functions in algebra? Students will be able to identify the following functions: a. b. c. Linear and squaring functions Cubic, square root and reciprocal functions Step and piecewise-defined functions

1. 7 Transformations of Functions How do you write equations and draw graphs for the simple transformations of a parent function? a. 11. Students will be able to graph the parent functions (Linear, squaring, cubic, square root) Students can use transformations of functions to determine the new coordinates of point from a given function (horizontal/vertical shifting/reflection and non-rigid transformations).

1. 8 Combinations of Functions: Composite Funtions How do you combine two parent functions to form a new function? 12. Students can find combinations (add, subtract, multiply and divide) and compositions of functions.

1. 9 Inverse Functions What is the inverse of a function and how do you represent it graphically and algebraically? 13. Students can find inverse functions algebraically and graph the inverse of a function, and use graphs, tables and equations to find compositions of function and their inverses.

2. 1 Quadratic Functions How do you sketch graphs and write equations of parabolas? 14. Students will be able to change a quadratic function into Standard Form (Vertex Form), graph the quadratic function and be able to identify the vertex, the axis of symmetry and the x-intercepts. 15. Students will be able to write equations of parabolas given the appropriate information.

2. 2 Polynomial Functions of Higher Degree How do you sketch the graphs of polynomial functions? 16. Students will be able to sketch the graph of a polynomial function by applying the Leading Coefficient Test and finding the real zeros. 17. Students will be able to find a polynomial of degree n that has given zeros. We will understand the Intermediate Value Theorem for Polynomial Functions and how it is used to help approximate zeros.

2. 3 Polynomial and Synthetic Division How do you divide a polynomial by another polynomial and interpret the result? 18. Students will be able to use long division and synthetic division of polynomials to find a quotient and a remainder and to determine if the divisor is a factor of the polynomial.

2. 4 Complex Numbers How do you perform operations with complex numbers? 19. We will know how to simplify expressions involving imaginary numbers by adding, subtracting, multiplying, dividing and to be able to find imaginary solutions to polynomials.

2. 5 Zeros of Polynomial Functions How do you find all the zeros of a polynomial function? 20. Students will be able to find all possible rational zeros of a polynomial and factor a polynomial into linear and quadratic factors. 21. Students will be able to find a polynomial given the real and complex zeros.

2. 6 Rational Functions How do you find important information about the graph of a rational function? 22. Students will be able to identify important information about rational functions and given information about a rational function be able to create a rational function. – Vertical asymptotes – Holes – Horizontal asymptotes – x and y intercepts

2. 7 Nonlinear Inequalities How do you find solutions of polynomial and rational inequalities? 23. We will be able to solve inequalities involving polynomials and rational expressions using Sign Analysis.

3. 1 Exponential Functions and Their Graphs How do you write and graph exponential functions? We will understand the difference between power functions and exponential functions. • We will understand the requirements of the base, domain and range of exponential functions and that they are one-to-one functions. • We will be able to graph exponential functions and understand transformations of exponential functions. 24. We will be able to solve basic exponential equations. •

3. 2 Logarithmic Functions and Their Graphs How do you recognize, evaluate, and graph logarithmic functions? • • 25. 26. We will understand that logarithmic functions are inverse functions of exponential functions and be able to write a logarithmic function as an exponential function and vice versa. We will understand some basic properties of logarithmic functions. We will understand the base of the common logarithmic function and the natural logarithmic function. We will be able to graph logarithmic functions. We will be able to find the value of logarithmic functions (without a calculator). We will be able to solve basic logarithmic

3. 3 Properties of Logarithms How do you rewrite logarithmic expressions to simplify or evaluate them? 27. We will understand the Laws of Logarithmic Functions and be able to use them to rewrite logarithmic expressions.

3. 4 Exponential and Logarithmic Equations How do you solve exponential and logarithmic equations? 28. We will be able to solve exponential and logarithmic equations using logarithmic and exponential functions.