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Features

  • Read scatterplots: what one point means, the highest and lowest points, and the trend
  • Make a scatterplot from a table of pairs, with a title, axis labels and scales
  • Read histograms with equal intervals, and tell a histogram from a bar graph
  • Tally data into equal intervals in a frequency table and draw a histogram
  • Read circle graphs in halves, fourths, eighths, thirds, sixths and tenths, and find how many from a total
  • Choose the best display: line plot, bar graph, line graph, histogram, scatterplot or circle graph
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Read a point on a scatterplot as a pair of data
  • Make a scatterplot from a table and describe its trend
  • Solve one- and two-step problems with a scatterplot
  • Read and make histograms with equal intervals
  • Read a circle graph as fractions of a whole and find counts from the total
  • Choose the best display for a set of data

How to Use This Pack

Five pages on the data displays some states add in 5th grade. Page 1 reads two scatterplots whose points are lettered: point D on the sunlight graph means a plant that got 4 hours of sun a day and is 16 cm tall; students find the tallest plant and the oldest bike, count points above or below a value, work out how much more or how much in all, and say whether the data tends to go up or go down. Page 2 makes scatterplots from tables: a finished example, then a blank graph where students write the title, the axis labels and both scales before they plot the pairs. Page 3 reads histograms, where each bar is an equal interval such as 20 to 29 minutes and the bars touch, then sorts data sets into bar graphs and histograms. Page 4 tallies raw data into equal intervals in a frequency table and draws the bars. Page 5 reads three circle graphs cut into eighths, sixths and tenths (half of 32 students ride the bus, so 16 do), then chooses the best of six displays for six sets of data. Every page starts with a worked example.

In the Classroom

Collect two numbers from each student (hand span and height, or hours of sleep and minutes of reading) and plot the pairs on a big scatterplot on the board. Ask what one dot means, then whether the dots tend to go up. Then group everyone's height into intervals of 5 cm and build a histogram with sticky notes, bars touching. Compare it with a bar graph of favorite colors: why do those bars have gaps?

At Home

Look for graphs in the news, on cereal boxes or in sports pages, and name each one: is it a circle graph, a bar graph, a histogram? Make a circle graph of how the day is spent (sleep, school, play) by cutting a paper plate into equal parts.

Tips for Success

  • A point on a scatterplot is one pair: read across to the first number, then up to the second
  • Look at all of the points together to see a trend: going up, going down, or no trend
  • A histogram counts numbers in equal intervals, so its bars touch; a bar graph shows categories, with gaps
  • In a circle graph the whole circle is the total; a half of 32 is 16, a fourth is 8
  • Choose a display by the data: change over time, pairs, parts of a whole, intervals, measurements or categories

Scatterplots, Histograms and Circle Graphs

5th Grade

Three more ways to show data: scatterplots of paired data, histograms of numbers in equal intervals, and circle graphs that split a whole into parts. Students read and make scatterplots and histograms, read circle graphs as fractions of a whole, and choose the best display for a set of data.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Two scatterplots to read and one to make from a table
  • Two histograms to read and two to make from raw data and a frequency table
  • Three circle graphs in fractions of a whole, and choosing the best display
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