Teacher Script & Notes
What to say / Spoken Script
Every straight line follows the equation $y = mx + c$, where $m$ is the gradient (steepness) and $c$ is the y-intercept. The gradient $m$ is calculated as the change in $y$ (rise) divided by the change in $x$ (run). Let's look at this step triangle showing a rise of 2 units for a run of 1 unit.
What to do / Action Guide
Display the linear graph with a slope calculation triangle highlighted.
Pedagogical Tips
A positive gradient goes uphill from left to right; a negative gradient goes downhill.
What to say / Spoken Script
The y-intercept $c$ is the point where the line crosses the y-axis (where $x = 0$). In this equation, the line cuts the y-axis at $+3$. Let's highlight this intercept coordinate $(0, 3)$ with a green dot.
What to do / Action Guide
Point to the intersection of the line with the vertical y-axis.
Pedagogical Tips
The y-intercept is the starting value or base offset of linear relationships.
Step 1: Introduction
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