This Is What We Have Learned 3

6th Grade AMP 20-21

Patterns and Graphs

There are many kinds of graphs. Bar graphs to compare quantities, line graphs to show a change over time, scatter plots to compare numerical values, and histograms to compare ranges. So, there’s many different ways to display your data. Now graphs can also have a pattern, or a trend. A trend can be positive or negative. If the graph is showing a general decline in its values, then the trend is negative. If it’s showing a general increase, then the trend is positive.

Examples

Scatter plot

Bar graph

Line graph

Number Sequences

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Number sequences are categorized into arithmetic and geometric. Each arithmetic or geometric sequence also has a rule. When it’s arithmetic the numbers are separated by an addition. For example, look at the follow sequence: 1, 3, 5, 7. The rule is add 2, so it is arithmetic. In geometric sequences, the values are separated by a multiplication.

Now, not all sequences are arithmetic of geometric, some simply don’t have a pattern, and some just are too complex.

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Tables and Patterns

Tables show a relationship between one value (usually x) and another (usually y). These can range from a simple arithmetic sequence of y=x+2 or they can range to multiple operations to describe the pattern. To find the pattern look at y’s values. See by how much they’re separated. For example, if it’s 2, 8, 14, and 20 they’re gone be separated by 2. So, your expression will start with y=2x. Now look at x’s values. If we use our beginning expression of y=2x you multiply x’s values by 2. After that see the difference between y and the new x’s values, to see if you’ll subtract or not. For example, if the beginning x’s values are 3, 5, 8, and 11 you multiply those by two. So 6, 10, 16, and 22. Now compare those to y’s (2, 8, 14, and 20). Notice how x and y’s values have a difference of two. So our expression will be y=2x-2. This is our pattern.