Teacher Script & Notes
What to say / Spoken Script
Strict inequalities, like $x > 2$, mean that $x$ is strictly greater than 2, but cannot equal 2. To represent this on a number line, we draw an open circle at 2 and shade the line to the right. The open circle shows 2 is excluded.
What to do / Action Guide
Point to the open circle and right-facing arrow on the number line.
Pedagogical Tips
Contrast the open circle representing 'greater than' with the closed circle for 'greater than or equal to'.
What to say / Spoken Script
Inclusive inequalities, like $x \le 4$, mean $x$ can equal 4 or be less. We draw a solid closed circle at 4 and shade to the left. The closed circle indicates that the boundary value 4 is included in our solution set.
What to do / Action Guide
Display the left-facing shaded range starting at a solid dot on 4.
Pedagogical Tips
Solid dot means 'included' (equal to is allowed). Hollow circle means 'excluded' (equal to is not allowed).
Step 1: Introduction
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