Florida B.E.S.T. MA.912.LT.2.3
The Standard
Solve scheduling problems using critical path analysis and Gantt charts. Create a schedule using critical path analysis.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use task durations and prerequisites to calculate start and finish times, find slack, and identify tasks that cannot be delayed. They create a Gantt chart that shows a workable project schedule.
What Mastery Looks Like
- Students correctly order tasks, calculate start and finish times, and identify the critical path and total project duration. Their Gantt chart matches all dependencies and shows which tasks have scheduling flexibility.
Common Misconceptions
- Students may add every task duration, even when tasks can run at the same time. They may choose the longest single task instead of the longest dependent path. They may also place tasks before their prerequisites are complete.
How to Assess It
- Exit ticket: A takes 2 days; B takes 3 days after A; C takes 4 days after A; D takes 2 days after B and C. Draw the network, identify the critical path and project duration, then sketch the Gantt chart.
Lesson moves
Ways to Teach It
Use task cards, yarn, and sticky notes to build a dependency network, calculate path lengths, then place tasks on a paper Gantt chart.
Prompt students: Which task can be delayed without changing the finish date, and how does its slack prove your claim?
Run a timed card sort where teams arrange prerequisite tasks, identify the critical path, and revise the schedule after drawing a delay card.
Plan a school fundraiser with setup, purchasing, advertising, and cleanup tasks, then create a Gantt chart showing the earliest completion date.
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