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Venn diagrams can be used to express the logical in the mathematical sense relationships between various sets.
Sets and venn diagrams lesson notes. And remember to be careful interpreting wording. For example the items you wear is a set. Sets and venn diagrams sets. At the end of this lesson you will be able to.
It goes through set notation and includes a matching activity where students have to try and match the notation to the shaded diagram. The union of two sets is all elements in either set or in sets. 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. Many real life problems can be described in terms of sets.
These include hat shirt jacket pants and so on. Sets and venn diagrams the intersection of two or more sets is all elements that are to the sets. 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.
The following examples should help you understand the notation terminology and concepts relating venn diagrams and set notation. Notation for setting out calculations so that counting problems such as this can be sorted out. In summary venn diagrams can be helpful in problems with two overlapping sets. 6 of the students study both french and spanish.
The venn diagram makes the situation easy to visualise. Preview and details files included 4 ppt 534 kb. Defining a union of sets a venn diagram is a graphic organizer representing among groups or sets. Methods 1 1 sets and venn diagrams there are 27 students in a class.
In this lesson we will be looking at set operations and venn diagrams. A set is a collection of things. The curly brackets are sometimes called set brackets or braces. Therefore these problems can be solved using set theory.
The venn diagram is an important tool in solving these problems. You write sets inside curly brackets like this. It then goes into finding probabilities for a two set venn including given questions before extending this to three set venns including ones. The problem may give a venn diagram but if it doesn t one is often helpful for solving this kind of question.
A define and describe different sets. Sets and venn diagrams. The purpose of this module is to introduce language for talking about sets and some. 4 7 106 customer.
15 of the students study spanish. This is a ppt i made to cover the new gcse topic of venn diagrams. Example 4 f s 6 f s 5 6 f s 5 6 9 f s 5 6 9 7 start with the intersection. Venn diagrams and sets.
It s good to sketch it on the scrap paper. We simply list each element or member separated by a comma and then put some curly brackets around the whole thing. The venn diagram opposite displays the whole situation.
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