But while the notation may differ, the concepts will be the same.īy the way, as you probably noticed, your Venn-diagram "circles" don't have to be perfectly round ellipses will do just fine. Different texts use different set notation, so you should not be at all surprised if your text uses still other symbols than those used above. Some of the examples above showed more than one way of formatting (and pronouncing) the same thing. There are gazillions of other possibilities for set combinations and relationships, but the above are among the simplest and most common. Means: the new set gets everything that is in the universe but is outside of A it's okay if the element is in B, just so long as it is not also in A Why not?Ĭlicking on the purple cog of the interactivity allows you to change the settings so you can tailor the labels and sets of numbers to suit your learners.Is pronounced as: " A complement" (or "not A", for the other notations) What do they notice? You may need to encourage the class to start dragging numbers into the correct places before they realise that there won't be any numbers in the intersecting region in the middle. You can end the lesson with the final interactivity. Help them solve this part of the task, therefore it is worth hearing from a few so that more than one strategy is shared. You will find that different pairs have 'homed in' on different numbers to Give learners time to talk in their pairs before inviting a few to share their solution. You may also like to look at the image of the diagram with missing labels in the plenary. You could listen out for misconceptions or disagreements to share in a plenary so that all children become involved in the reasoning. Explaining out loud in this way often helps to clarify thinking and will give a purpose for accurate use of mathematical vocabulary. If children work in pairs it will encourage them to construct mathematical arguments to convince each other where on the diagram each numberīelongs. This sheet contains copies of the first two diagrams in the problem. You can set the children off on the task, either using the interactivity if you have access to tablets/computers, or on paper. To drag a number to an incorrect cell, again asking for an explanation from a different learner. Through this whole group discussion, you can draw out the features of Venn diagrams and you may like to invite some children to come and drag a number to the correct place, and ask someone else to explain why that is correct. Without doing anything at all, invite learners to consider what they see and what they wonder.Īfter giving some time for children to talk in pairs, bring them together to share their thoughts and any questions they have. You could introduce the task by projecting the first version of the interactivity using an interactive whiteboard. This activity featured in an NRICH Primary webinar in March 2021. This problem is also a good context in which toĮncourage learners to articulate their reasoning. Example 10 Use a Venn diagram to illustrate ( H P) c W Well start by identifying everything in the set H P Now, ( H P) c W will contain everything not in the set identified above that is also in set W Example 11 Create an expression to represent the outlined part of the Venn diagram shown. Placing numbers in a Venn diagram requires children to consider more than one property of a number at the same time. This problem provides an opportunity for children to become familiar with Venn diagrams, whilst reinforcing knowledge of number properties. If you click on the purple cog of the interactivity, you can change the settings and create your own Venn diagrams for someone else to complete. Here is another version of the interactivity for you to try. Here is a screenshot (a picture) of the interactivity, but the labels of the Venn diagram are missing. If you would prefer to work away from a screen, you could print off these sheets, which have a copy of each Venn diagram on them. How do you know where to put each number this time? How do you know where to put each number? We call this way of sorting information a Venn diagram (named after the mathematician John Venn).Ĭan you drag the numbers from 1 to 30 into their correct places in the Venn diagram? Before you try anything, have a think about these questions:
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