1. Action planning: Logical activity schedule
The purpose of this exercise is to familiarize you with the next stages of project development: drawing a schedule of activities and a logical matrix of the project.
Pert diagram (CPM – Critical Path Method )
Gantt diagram

2. Gantt Chart
The first Gantt chart was created in the mid 1890s by Karol Adamiecki, a Polish engineer who was interested in management ideas and techniques. He named it a harmonogram and only published the chart in Polish, which limited widespread use. It wasn’t until 15 years later that Henry Gantt devised his own version of Adamiecki’s project schedule and published it in English, making it available to a vastly larger population.
One of the first high-profile applications was by the United States during World War I. Since then, Gantt charts have been used in many large projects such as the construction of the Hoover Dam and the US Interstate highway network.

3. Gantt Chart
Originally, Gantt charts required preparation by hand-meaning that whenever there was a project change, the chart needed to be edited or redrawn completely. Since projects often see dramatic change from start to finish, the usefulness of a Gantt was limited. In the 1980s, with the invention of the personal computer, widespread creation of complex and elaborate charts was finally possible. By the end of the 1990s, the advent of the internet as well as high rates of collaboration over networks encouraged Gantt charts to become a popular feature of many web-based applications and tools.

4. Gantt Chart Why Use Gantt Charts?
A Gantt chart is one of the most important tools in a project’s managers arsenal. It helps organize complex projects, improve project visibility, and keep everyone on track. 
Here are five reasons why you should use Gantt charts in project management:
Determine all necessary tasks: When you set up a Gantt chart, you’ll be forced to think through all the tasks involved in your project. This process allows you to better understand and define the scope of your project and all the necessary tasks, rather than just jumping into the project with no clarity.  
Identify when tasks need to be completed: Adding predecessors and dependencies to your Gantt chart will help you determine which tasks need to be completed before others can start. This understanding can help prioritize work and resources.   
Discover the critical path: Once you have created a Gantt chart, you can then identify the critical path. The critical path allows you to identify the most important tasks in your project that, if missed, will impact your whole project. Finding the critical path can add clarity to your project and helps you meet deadlines.   
Keep your team informed of progress: You can use Gantt charts to replace meetings or improve status updates. The visual nature of Gantt charts let you quickly communicate your team’s progress and show which tasks have been completed.  
Simplify complex tasks: If you’re managing a project with hundreds of tasks, a Gantt chart helps you handle and organize the chaos. It’s also much easier to understand and digest a visual than a written list of tasks.

5. Gantt Chart
critical task
arbitrarily shaded rectangle
task relevant, non-negligible for the project, the completion of which determines the further proceedings; tasks critical and non-critical are afastened together by a summary
Not critical task
rectangle with no fill
task less relevant to the project - not a precondition for its success, but may be easier to achieve the goal
summation
rectangle, usually filled with "teeth" on the ends
is the sign of a certain stage of the project, which consists of tasks, usually after the summary is a milestone that allows the acceptance of a phase and move on
milestone
a square rotated by 45 °, filled
special kind of task completion signal a phase-off event, determines the transition to the next stage
MILESTONE – ends with a step by unambiguous events such as the signing of the document, to obtain a result, an important meeting, approval of work

6. Gantt Chart