Term 1 Week 7 · Slope as a rate of change, and the zeros of linear functions · CG Quarter 1, competency 8
| # | The misconception | Where it shows | What to do |
|---|---|---|---|
| 1 | A slope is just a number | §A and throughout | Ask "per what?" every single time. Never let it pass |
| 2 | Every zero has a meaning | §C.2, by design | Praise the refusal. It is the harder answer |
| 3 | The zero is the y-intercept | §C.2 — learner answers 30 | "The zero is where y is nothing. Thirty is where x is nothing." Two different substitutions |
| 4 | A negative slope is a mistake | §C.3 | The drum is emptying. Negative is the correct description of falling |
| 5 | The slope is the biggest number in the equation | y = 12x + 30, learner says 30 | Point at the x. The slope is attached to it |
| 6 | Rate means speed | §A | Speed is one rate. Pesos per kilogram is another. The idea is wider than the example |
| 7 | The unit of the y-intercept is also "per something" | §C.1 | ₱30 is an amount, not a rate. Nothing is divided by anything |