- Identify conic sections as the cross-sections of a double cone.
- Identify the locus of points that defines a circle, graph, and write equations for circles using the center and the radius.
- Use the Pythagorean Theorem to derive the equation of a circle, given the center and the radius.
- Write an equation for a circle given the endpoints of the diameter.
- Convert an equation of a circle in quadratic form, by completing the square, to standard form and identify the center and radius of a circle.
- Define an ellipse in terms of the distance from its foci to any fixed point on the curve and derive the equation of an ellipse in standard form.
- Graph ellipses and write the equations of ellipses in standard form.
- Define a hyperbola in terms of the distance from its foci to any fixed point on the curve.
- Graph hyperbolas and write the equations of hyperbolas in standard form.
- Graph ellipses and hyperbolas and write their equations in standard form.
- Define a parabola.
- Graph and write equations of parabolas given a focus and directrix.
- Determine the vertex, focus, directrix, line of symmetry, and equation given the graph of a parabola.

- Use ratios to determine a point that divides a given line segment proportionally.
- Prove the slope criteria for parallel and perpendicular lines.
- Use the slope formula to prove lines are parallel or perpendicular.
- Determine the equation of a line that is parallel or perpendicular to a given line that passes through a given point.
- Apply the distance formula to determine the perimeter and area of polygons in the coordinate plane.
- Use coordinate geometry to classify and prove triangles.
- Use coordinate geometry to classify and prove quadrilaterals.
- Use coordinate geometry to prove theorems algebraically.

This document outlines concepts in each Topic for the Unit. When corresponding resources are available in cK12.org, a hyperlink is provided for the Flexbook. The cK12.org Flexbooks provide a variety of examples, definitions, and extra practice problems related to some of the concepts in Curriculum 2.0 Two-year Algebra 2, Algebra 2, and Honors Algebra 2. The concepts will be developed in greater depth and with appropriate vocabulary in the classroom. The materials in the Flexbooks are intended to provide additional support to the classroom expectations. The vocabulary and methods in these examples may differ slightly from the classroom expectation; however, the overall intent is consistent with the content expectation.