#Networks #Year12 #Standard >[!info]- [Critical path analysis | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-standard-11-12-2024/content/n12-tba2/fa9c92c4c6) >- MST-12-S2-07 applies critical path analysis to solve problems and model decision-making in practical contexts ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | ------------------------- | ---------------- | ------------------------ | | [[Networks, Paths Trees]] | - graph diagrams | - critical path analysis | ## Critical path analysis - Construct a network diagram from a precedence table or equivalent, including those involving dummy activities, limited to 10 activities - Explain the term critical path - Apply forward and backward scanning to determine the earliest starting time (EST) and latest starting time (LST) for each activity in a project - Calculate float times to identify critical and non-critical activities - Analyse ESTs and LSTs to locate the critical path(s) for the project - Apply critical path analysis to determine the minimum completion time for a project - Construct a Gantt chart to represent a project from a network diagram indicating the critical path - Examine the impact of increasing or reducing the duration of an activity on the completion time of the project or task being modelled - Use a spreadsheet to model a project involving precedence tables and solve related problems