Understanding y = mx + b: Slide Deck

Section role: supports the 'Mapping Lines to Equations' section while the teacher formalizes concepts using the cell phone challenge results and introduces the standard form. Slides: (1) Title — 'From Tables to Equations: y = mx + b'; (2) Reviewing the Challenge — bullets: Company Alpha and Beta's cost tables, their graphed lines from Section 2; (3) The Y-Intercept (b) — bullets: 'fixed fee' as the starting point, where the line crosses the y-axis (when x=0), example from Cell Phone Alpha (R$20) and Beta (R$10); (4) The Slope (m) — bullets: 'rate per GB' as the 'inclinação' (steepness) of the line, 'rate of change,' example from Cell Phone Alpha (R$2/GB) and Beta (R$4/GB), visual comparison of steepness; (5) The Equation y = mx + b — bullets: definition of m and b, writing the equations for Company Alpha (y = 2x + 20) and Beta (y = 4x + 10); (6) What About Negative Slope? — bullets: quick example of a draining battery, visual of a downward-sloping line, addressing misconceptions. Closing slide: 'How do 'm' and 'b' tell you everything about a line?' — sets up the independent practice in Section 4 for students to draw lines from equations.

Lara from Teachy