1. [b]Algebraic Foundations[/b][list][*]Ability to manipulate algebraic expressions (factoring, expanding, simplifying).[br][/*][*]Solving linear and quadratic equations (including completing the square).[br][/*][*]Working with inequalities and absolute value.[br][/*][*]Familiarity with polynomial functions and their degrees.[br][/*][/list]2. [b]Coordinate Geometry[/b][list][*]Understanding of the Cartesian plane (points, ordered pairs, quadrants).[br][/*][*]Distance formula and midpoint formula[br][/*][*]Equation of a line (slope-intercept form, point-slope form, standard form).[br][/*][*]Slope and parallel/perpendicular lines.[br][/*][*]Symmetry with respect to the x-axis, y-axis, and origin.[br][/*][/list]3. [b]Functions and Graphs[/b][br][list][*]Domain and range concepts.[br][/*][*]Graphing basic functions (linear, quadratic, absolute value, exponential)[br][/*][*]Transformations of functions (translations, reflections, dilations, rotations).[br][/*][*]Recognition of symmetry in graphs.[br][/*][/list]4. [b]Geometry Connections[/b][br][list][*]Properties of circles (radius, diameter, chords, tangents, secants).[br][/*][*]Knowledge of parabolas from quadratic functions.[br][/*][*]Basic familiarity with foci and directrix (introduced in quadratic contexts).[br][/*][*]Angles and triangles, especially right triangle trigonometry (for connections to slope, asymptotes, and curves).[br][/*][/list]5. [b]Analytic & Problem-Solving Skills[/b][br][list][*]Setting up and solving real-world problems algebraically.[br][/*][*]Interpreting word problems and converting them into equations.[br][/*][*]Logical reasoning and pattern recognition.[br][/*][/list]6. [b]Technology/Exploration Skills[/b] [i](for GeoGebra or graphing calculator use)[/i][list][*]Basic ability to plot points and equations on graphing software/calculator.[br][/*][*]Familiarity with sliders or parameter changes in dynamic graphing tools.[/*][/list]