o Representing relationships mathematically o Formalize the concept of mathematical functions o Understand the various representations of functional relationships o Domain and range o Understanding functions o Explore continuous functions o Investigate sequences as functions o Linear functions o Creating and representing equations o Various forms of linear functions o Beginning to work with transformations of functions o Statistical models o Bivariate categorical and quantitative data o Apply understanding of statistics o Linear equations and inequalities o Master writing and solving linear equations and inequalities o Connections between equations and functions o Various representations o Systems of linear equations and inequalities o Create and graph equations in two variables o Extend understanding of estimating solutions graphically o Non-linear relationships o Explore examples of nonlinear functions o Absolute value, step, square and cube root, etc o Create and graph equations o Exponential functions and equations o Compare and contrast to linear functions o Create and graph equations o Continue with function notation o Polynomial expressions and functions o Operations with quadratic and cubic polynomials o Factoring quadratic and cubic polynomials o Interpret parts of an expression o Quadratic functions o Building quadratic functions that model real-world situations o Completing the square o Create and represent quadratic equations o Compare properties of quadratic functions represented in different ways

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Geometric transformations o Develop rigorous definition of congruence transformations o Use the transformations to prove geometric properties
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Angles and Lines o Develop viable geometric arguments o Make conjectures and prove deductively prove statements
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Triangles o Explore basic theorems and conjectures about triangles o Make and verify conjectures about various triangles o Basic construction techniques to explore triangle properties o Use precise definitions
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Triangle congruence o Formalize the definition of congruent triangles o Identify criteria for triangle congruence and correspondence
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Similarity transformations o Focus on dilations and similarity o Prove theorems involving similarity o Apply dilations and similarity to model real-world situations
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Right triangle relationships and trigonometry o Develop properties of special right triangle o Develop and use trigonometric ratios o Model real-world situations
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Quadrilaterals o Use triangle congruence to prove parallelogram theorems o Become proficient with coordinate proofs
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Circles o Explore properties of chords, arcs, and angles on circles o Derive the equation of a circle using geometric relationships
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Geometric modeling in two dimensions o In-depth problems requiring understanding of geometric figures o Use tools developed throughout the course o Bring together all relationships learned