Math101 · Independent Ontario learning library
Math101How to Use Math101
Use Math101 through the cycle **locate → learn → attempt → diagnose → revisit**.
Use Math101 as an active study loop: locate a precise skill, learn its meaning, attempt practice, diagnose errors, and revisit after a delay.
Intuition and core definition
Use Math101 through the cycle locate → learn → attempt → diagnose → revisit. Locate one narrow skill; learn its meaning and conditions; attempt without support; diagnose the first gap; and revisit after time has passed. The site is designed for active use, so scrolling through a lesson is preparation, not completion.
Notation, language, and conditions
A prerequisite is a skill required before the present method makes sense. A worked example demonstrates reasoning; practice asks you to reproduce that reasoning independently. A check uses the original relationship to test an answer, while an answer key reports an outcome and a brief route. These terms describe different jobs and should not be collapsed into “looking at solutions.”
Why this idea matters
An active lesson cycle turns reading into evidence: an independent attempt reveals whether the idea can be recalled, applied, and checked without a model in view.
A dependable method
- Write a one-sentence target beginning “I can…,” for example, “I can convert degrees to radians.”
- Preview headings and identify notation or prerequisite links that are unfamiliar.
- Study the core definition and one worked example while explaining why each step is allowed.
- Hide the example and complete all three practice items, marking any uncertain line.
- Compare with solutions, write one correction, and schedule a short delayed retry.
