Slopes and Perpendiculars - Intro

This math unit begins by teaching students how to recognize and calculate the slope of linear equations presented in various forms. Starting with converting standard form equations to slope-intercept form and directly finding slopes, the unit progresses to applying these skills by interpreting graphed lines and determining their standard form equations. Increasing complexity is introduced as students learn to calculate negative reciprocal slopes to identify perpendicular lines, initially focusing on understanding the negative inverse property through converting integer and decimal slopes. The unit further delves into graphical interpretations, allowing students to visually analyze lines on graphs to identify perpendicular slopes and convert these observations into different numerical and algebraic representations. The advanced topics cover converting between different forms of slope equations and understanding the relationship between slopes of perpendicular lines within different forms of linear equations, emphasizing practical applications and manipulation of slope and perpendicularity in various contexts.Skills you will learn include:

• Perpendiculars
• Y = mx + b
• Ax + Cy = C
• Perpendiculars of line equations
• Graphs from perpendiculars