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Many real life problems can be described in terms of sets.
Sets and venn diagrams lesson notes. These include hat shirt jacket pants and so on. 15 of the students study spanish. Venn diagrams and sets. You write sets inside curly brackets like this.
We simply list each element or member separated by a comma and then put some curly brackets around the whole thing. Venn diagrams can be used to express the logical in the mathematical sense relationships between various sets. And remember to be careful interpreting wording. Preview and details files included 4 ppt 534 kb.
Therefore these problems can be solved using set theory. The union of two sets is all elements in either set or in sets. Draw a venn diagram to show this information. 6 of the students study both french and spanish.
This is a ppt i made to cover the new gcse topic of venn diagrams. A define and describe different sets. A set is a collection of things. In this lesson we will be looking at set operations and venn diagrams.
There is a fairly simple notation for sets. Designed to put the students into a pit and to work their own way out while making rapid progress within the lesson. At the end of this lesson you will be able to. Sets and venn diagrams the intersection of two or more sets is all elements that are to the sets.
Notation for setting out calculations so that counting problems such as this can be sorted out. It then goes into finding probabilities for a two set venn including given questions before extending this to three set venns including ones. Example 4 f s 6 f s 5 6 f s 5 6 9 f s 5 6 9 7 start with the intersection. Sets and venn diagrams.
The venn diagram opposite displays the whole situation. 11 of the students study french. Defining a union of sets a venn diagram is a graphic organizer representing among groups or sets. The curly brackets are sometimes called set brackets or braces.
The venn diagram is an important tool in solving these problems. It goes through set notation and includes a matching activity where students have to try and match the notation to the shaded diagram. The following examples should help you understand the notation terminology and concepts relating venn diagrams and set notation. The problem may give a venn diagram but if it doesn t one is often helpful for solving this kind of question.
The venn diagram makes the situation easy to visualise. Let s say that our universe contains the numbers 1 2 3 and 4 so u 1 2 3 4 let a be the set containing the numbers 1 and 2. It s good to sketch it on the scrap paper. For example the items you wear is a set.
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