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