
Unit 1  Transformation of Functions (2 weeks)
Target 1A  Understanding how to identify transformations.
1. I can identify transformation(s) when given a function.
2. I can identify transformation(s) when given a table.
3. I can identify transformation(s) when given a graph.
Target 1B  Understanding applications of transformations.
1. I can apply transformation(s) to graphs.
2. I can apply transformation(s) to functions. (quadratic, exponential, absolute value, and piecewise functions).


Unit 2  Extending Linear Models (4 weeks)
Target 2A  Understanding the use of linear programming in solving problems.
1. I can create and interpret constraint equations and their graphs.
2. I can optimize an objective function given a set of constraints.
Target 2B  Understanding linear equations in three dimensions.
1. I can write a system of equations in three dimensions.
2. I can create and interpret matrix equations for linear equations in three dimensions.
3. I can use matrices to solve a system of linear equations in three dimensions.
4. I can identify the solution of a 3x3 system of equations as intersecting planes, parallel planes, or coplanar figures.
Target 2C  Extensions.
1. I can find algebraic solutions to 2x2 systems.
1. I can perform elimination.
1. I can perform row reduction.
1. I can find determinants.


Unit 3  Extending Exponential Models (4 weeks)
Target 3A  Understanding the application of exponential models to real world situations.
1. I can identify the rate of change and initial value of an exponential model.
2. I can model realworld situations with exponential functions.
Target 3B  Understanding the Application of Logarithms to Solve Exponential Equations.
1. I can use logarithms to solve exponential equations.
2. I can apply transformations to exponential functions.
Target 3C  Extensions.
1. I can solve Inverse Functions .
2. I can solve Logarithmic Functions.


Unit 4  Extending Quadratic Models (5 weeks)
Target 4A  Understanding the complex number system.
1. I can perform the three mathematical operations addition, subtraction and multiplication on nonreal numbers.
Target 4B  Understanding complex solutions to quadratic equations.
1. I can solve quadratic equations which have nonreal solutions.
2. I can identify whether the roots of a quadratic function are real or nonreal given an equation or a graph.
Target 4C  Understanding vertex form of quadratic equations.
1. I can write quadratic functions in vertex form.
2. I can graph quadratic functions in vertex form.
3. I can apply transformations to quadratic functions.
Target 4D  Extensions.
1. I can solve quadratic inequalities.


Unit 5  Higher Degree Polynomial Functions (4 weeks)
Target 5A  Understanding the equivalence of polynomial expressions
1. I can use the remainder and factor theorems.
2. I can factor higher order polynomials.
3. I can use arithmetic operations (add, subtract, multiply, divide) on functions to create equivalent forms.
Target 5B  Understanding the relationship between zeros, analytical or graphical representations of polynomial functions
1. I can determine a function rule for a function when given the graph.
2. I can determine the number of real and nonreal zeros when given a function.
3. I can apply transformations to higher degree polynomial functions.


Unit 6  Rational Expressions & Functions (4 weeks)
Target 6A  Understanding the equivalence of rational expressions.
1. I can apply properties of exponents to simplify expressions with rational exponents.
2. I can simplify rational expressions.
3. I can use arithmetic operations (add, subtract, multiply, divide) on rational expressions to create equivalent forms.
4. I can solve rational equations in the form of proportions.
Target 6B  Understanding characteristics of rational functions.
1. I can model problem situations with rational functions.
2. I can identify the domain of a rational function.
3. I can graph rational functions.
4. I can determine the zeros of a rational function.
Target 6C  Extensions.
1. I can Solve equations in the form (including subtraction/negative).
2. I can identify Transformations.
3. I can determine Continuity.
4. I can identify Horizontal Asymptotes.


Unit 7  Trigonometric Functions (4 weeks)
Target 7A  Understanding the unit circle.
1. I can use both radian and degree measure fluently.
2. I can identify trigonometric values of common angles on the unit circle fluently.
Target 7B  Understanding the application of trigonometric functions.
1. I can use trigonometric functions to solve nonright triangles.
Target 7C  Understanding trigonometric functions.
1. I can graph the Sine, Cosine, and Tangent functions.
2. I can apply transformations to trigonometric functions.
Target 7D  Extensions
1. I Can recognize cotangent, cosecant, and secant functions.
