Identifying patterns and groupings is an important skill in all of mathematics, including geometry. However, in these fields, you're usually evaluating sets of numbers, not pictures. Let's use this list of numbers to practice finding categories and patterns in a set of numbers.
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18
Follow the steps in this slide show to learn how to analyze a set of numbers like the one above.
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First, let's see if we can group these numbers together in a few different ways. We can start by creating three lists: the multiples of 2, the multiples of 3, and the other numbers. In your notebook, write down the numbers that appear in each list. Then click the button below to compare your list to ours.
multiples of 2: {2, 4, 6, 8, 10, 12, 14, 16, 18}
multiples of 3: {3, 6, 9, 12, 15, 18} other numbers: {5, 7, 11} Next, find the numbers that exist in more than one list, like the number 6. When finished, compare your list to ours.
multiples of 2: {2, 4, 6, 8, 10, 12, 14, 16, 18}
multiples of 3: {3, 6, 9, 12, 15, 18} other numbers: {5, 7, 11} A list is probably the most simple diagram you can make. At your age, though, you've probably made more complex diagrams such as bar graphs, pie charts, and line graphs. These are all good diagrams for different things. For comparing different groupings, though, a Venn diagram is the most useful. Take a close look at the Venn diagram below.
Why are the numbers in the green shaded area of the diagram?
6, 12, and 18 are all multiples of 2 and 3, so those numbers need to lie in both circles, or the overlapping parts of the circles.
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