Algebra II Learning targets chapter 1 equations and inequalities Students will be able to: 1. Evaluate expressions using order of operations and properties. 2. Solve equations. 3. Solve absolute value equations. 4. Solve and graph inequalities. 5. Solve and graph(on a number line) compound inequalities. 6. Solve and graph(on a number line) absolute value inequalities. Learning targets chapter 2 linear relations and functions Part 1 Students will be able to: 1. Identify and analyze linear relations and functions (find domain and range, ect…) (identify linear function) 2. Evaluate functions 3. Graph using standard form and find intercepts. 4. Find and analysis rate of change/slope of a line. 5. Write an equation of a line parallel or perpendicular to a line. Learning Targets Chapter 2 Graphing Functions, transformations and Inequalities Part 2 1. I can model and analysis data using linear regression. 2. I can write and graph piece-wise defined functions. 3. I can write and graph piecewise-linear functions(step and absolute value functions). 4. I can use parent functions to describe transformations of functions. 5. I can write and graph linear inequalities. 6. I can graph absolute value inequalities Learning Targets Chapter 3 System of equations and inequalities 1. I can solve a system of linear equations graphically. 2. I can solve a system of linear equations algebraically. 3. I can solve system of inequalities by graphing. 4. I can find the coordinates of the vertices of a system of inequalities. 5. I can find the minimum and maximum values of a function over a region. 6. I can solve real world optimization problems using linear programming. 7. I can solve systems of linear equations in three variables. 8. I can solve read world problems using systems of linear equations in three variables. Learning Targets Chapter 4 Quadratic Functions and relations. 1. I can graph and interpret the graph of quadratic functions (max and min, y-intercept, axis of symmetry, coordinates of vertex) 2. I can solve a quadratic equation by graphing 3. I can solve a quadratic equation by graphing with technology. (not assessed learning target at this time) I can solve a quadratic by most efficient method: 4. I can solve a quadratic by factoring. 5. I can solve a quadratic by completing the square. 6. I can solve a quadratic by using the Quadratic Formula. 7. I can perform operations with pure imaginary numbers and complex numbers. 8. I can solve quadratics involving pure imaginary numbers and complex numbers. 9. I can use the discriminant to determine the number and type of roots of a quadratic equation(not assessed learning target) 10. I can write quadratic functions in vertex form. 11. I can transform graphs of quadratic functions. 12. I can graph and solve quadratic inequalities. Learning targets Chapter 5 Polynomial and polynomial functions. 1. I can simplify monomials and expressions involving exponents. 2. I can add and subtract polynomials. 3. I can multiply polynomials. 4. I can divide polynomials using long division/synthetic division. 5. I can evaluate polynomial functions. 6. I can analyze, graph, and find zeros of a polynomial function (identify general shapes and end behavior, find relative maxima and minima, and find zeros) Take assessment one on first 6 learning targets. 7. 8. I can solve polynomial equations by factoring. I can determine whether a binomial is a factor of a polynomial using synthetic substitution (remainder and factor theorem) . 9. I can determine the number and type of roots for a polynomial equation (Fundamental Theorem, Descartes rule of signs and rational zero theorem). 10. I can find all the zeros of a polynomial function. Learning Targets Chapter 6 Inverse and radical functions 1. I can perform operations on functions and find special restrictions, and identify the domain and range of a function. 2. I can find the inverse of a relation and function, determine whether two functions are inverses, and graph the function and the inverse. 3. I can graph and analyze square root functions and inequalities. 4. I can simplify radical expressions. 5. I can perform operations involving radical expressions. 6. I can write expressions with rational exponents in radical form and vice versa. Include evaluating rational exponents and simplifying common squares, cubes, 4th, ect (64 - 8^2, 4^3, or 2^6). 7. I can simplify expressions in exponential or radical form. 8. I can solve equations containing radicals. 9. I can solve inequalities containing radicals. Chapter 7 Exponential and Logarithmic Functions and relations 1. 2. 3. 4. 5. 6. I can graph exponential growth and decay functions. I can solve exponential equations and inequalities I can evaluate logarithmic expressions. I can graph logarithmic functions. I can solve logarithmic equations and inequalities. 7. I can evaluate and solve logarithmic equations using logarithmic properties. 8. I can solve exponential equations and inequalities using common logarithms. 9. I can evaluate logarithmic expressions using the change of base formula. 10. Evaluate and solve exponential equations and inequalities using natural log. Chapter 8 Rational Functions and Relations 1. I can simplify rational expressions (simple and complex). 2. I can multiply and divide rational expressions. 3. I can add and subtract rational expressions (find LCM of polynomials) . 4. I can graph rational functions with asymptotes. 5. I can solve rational equations. 6. I can solve rational inequalities. Chapter 10 Sequences and Series 1. 2. 3. 4. 5. 6. 7. I can find specific terms of arithmetic sequences. I can find specific terms of geometric sequences. I can find arithmetic means. I can find geometric means. I can find the sum of arithmetic series. I can find the sum of geometric series. I can interpret sigma notation to calculate sums.