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# 6th grade (U.S.)

By the 6th grade, you're starting to become a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)
Community Questions
Data and statistics
In statistics, we try to make sense of the world by collecting, organizing, analyzing, and presenting large amounts of data. For example, you may survey your friends about what tv show is most popular, but the small sample size will not give you an accurate idea of what ALL 6th graders like to watch. To do this you must survey a cross section of students from all around the country and all backgrounds. The data can then be statistically analyzed to give a more accurate picture of what tv show is most popular. So let's dive into a discussion of statistics, including box and whisker plots, bar charts, pictographs, line graphs, and dot plots.
All content in “Data and statistics”

### Introduction to statistics

This tutorial will get you started on your journey towards statistical bliss! We'll think about what types of questions can be answered with statistics and explain the basic measures of central tendency, namely the mean, median, and mode. Don't sweat it. We're here to help. Common Core Standards: 6.SP.A.1, 6.SP.A.2, 6.SP.A.3

### Box and whisker plots, range, and midrange

Whether you're looking at scientific data or stock price charts, box-and-whisker plots can illuminate patterns in your life. This tutorial covers what they are, how to read them, and how to construct them. We'll also touch on a couple of other measures of central tendency, the range and midrange. Common Core Standard: 6.SP.B.4

### Bar charts

Bar charts are everywhere. They make it easy for us to compare data and see trends. In this tutorial we're going to learn to read and create bar charts, as well as apply them to measures of central tendency. Common Core Standard: 6.SP.B.4

### Pictographs and line graphs

We love anything that makes understanding data easier to digest, don't you? Line graphs are very common ways to see trends in data. Pictographs are less common, but they can be entertaining to look at (this is why newspapers like to use them). Both are useful ways to visually represent data for easier analysis. Common Core Standards: 6.SP.B.4, 6.SP.B.5

### Dot plots

A dot plot is not unlike a bar chart, the difference being that it graphically displays data using dots (not bars).