Eligible Content M3.E.1.1.2


Help Me To
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Describe, interpret and/or answer questions based on data shown in tables, charts, bar graphs and pictographs.

Did You Know?

Bar graphs and pictographs are types of graphs that graphically show and compare data.  You can look at the graph to
more easily interpret or answer questions about the data.


Check What You Know First

Mary collected coins in a jar.  She wanted to make a graph to show the number of different types of coins
she had.  She decided to make the bar graph below to graphically show her data.

Look at the vertical bar graph to interpret the data and answer the following questions.

How many types of coins did Mary collect?

 

What are the names of the coins that Mary collected?

 

What is the title of Mary’s graph?

 

What coin has the largest number?

 

How many pennies are in the jar?

 

How do you know this coin has the largest number?

 

What coin has the smallest number?

 

How many dimes are in the jar?

 

How do you know this coin has the smallest number?

 

Key Vocabulary

A bar graph is a graph that uses bars to show data.

A vertical bar graph is bar graph in which the bars go up from bottom to top.

A horizontal bar graph is a bar graph in which the bars go across from left to right.

A line graph is a graph that uses a line to show how something changes over time.

A pictograph is a graph that uses pictures to show and compare information.

A range is the difference between the greatest number and the least number in a set of data.

A scale is a series of numbers placed at fixed distances on a graph to help label the graph and assist you in
reading the number each bar shows.

An interval is the distance between two numbers on the scale of a graph.

A key is the part of a graph that explains the symbols or pictures used. It indicates how many each symbol or picture
in the pictograph stands for.

Data is information that is collected on something such as people or things.

To classify is to group pieces of data according to how they are the same, for example, you can classify data by size,
color or shape.

A tally chart is a table that uses tally marks to record data.

A frequency table is a table that uses numbers to record data.

 

Learn About It Now

Looking at the bar graph should have assisted you in answering the questions.  A bar graph is a graph that uses
bars to show data. Showing the data graphically should help a person interpret the data more easily.  You can illustrate
data in a vertical bar graph or a horizontal bar graph. A vertical bar graph is bar graph in which the bars go up from
bottom to top. This is the type of bar graph used in the Check What You Know section.  A horizontal bar graph is
a bar graph in which the bars go across from left to right.

Below is an example of a vertical bar graph and a horizontal bar graph. They look different, but illustrate the
same information. The information below the bar graphs tells how to read each type of bar graph.

Looking at either bar graph, you can see the title (Coins In A Jar) at the top.  The sides of the graph are also labeled.
One side has the scale of numbers used. A scale is a series of numbers placed at fixed distances on a graph to help label
the graph and assist you in reading the number each bar shows.  A scale always starts with 0.  In this graph, the
scale goes from 0 to 12.  The top value of the scale when making a bar graph should be greater than the greatest value
of the data.  The scale side is labeled Number of Coins.

An interval is also selected on a bar graph. An interval is the distance between two numbers on the scale of a graph or the
difference between two numbers on the scale. The interval is 2.  You are counting by 2’s on the bar graph.  (0,  2,  4,  6,  8,  10,  12)

The other side of the bar graph has a label entitled Coin with a list of coins used. The four types of coins that were collected
include quarters, dimes, nickels and pennies. These types of coins are labeled on the bar graph.

You can quickly tell which coins there are the most of and the least of by looking at the bars. The coins with the largest number
collected are the pennies.  You can tell this by looking the chart. The bar for pennies is the highest/longest.

The coins with the smallest number collected are the dimes.  When you look at the chart, the bar for dimes is the lowest/shortest.

To find out specifically how many coins there are for each group, you can look at the scale side with the numbers.  You follow
the edge of the bar to the number on the scale side.  There are 4 dimes and 12 pennies.  There are also 6 quarters and 8 nickels.

Data can also be graphically shown on a pictograph. A pictograph is a graph that uses symbols or pictures to show and
compare information.  A pictograph should have a title.  Each row should be labeled with a name.  A key should also be created. 
A key is the part of a graph that explains the symbols or pictures used. It indicates how many each symbol or picture in the
pictograph stands for. 

Look at an example of a pictogram:

 

Check What You  Know About Using a Pictograph

Use the pictograph above to answer the following questions.
 

How many animals is each   star    worth?

 

Which animal is there the most of?

 

Which animal is there the least of?

 

How many monkeys are there?

 

How many elephants are there?

 

List the animals from greatest number to the least?

 

Learn About The Pictograph Now

A pictograph uses pictures or symbols to show data.  The key shows you what each picture represents.  In the key in
this pictograph, each star is equal to 5 animals.  To find out how many of each animal there are, you can
multiply 5 by the number of stars.  For example, there are 30 monkeys.  You multiply 5 x 6 to get 30 monkeys. 
By simply looking at the pictograph, you can tell that the monkeys represent the most number of animals.  There
are 6 stars, which is the greatest number of stars beside the label of the monkey.  Looking at the pictograph again,
you can see there are only 2 stars beside the label of the elephant.  This shows that the least number of animals is
the elephant.  To figure out how many elephants there are you multiply 5 x 2 to get 10.

 
More Practice with the Pictograph and the Bar Graph

Use the pictograph and the bar graph that you used before to answer the following additional questions.

picto

How many lions are there?

 

How many giraffes are there?

 

How many monkeys are there?

 

How many bear are there?

 

What is the total numbers of animals in the zoo?
(Hint- First multiply each star by 5 and figure out the number of individual animals. Then add up the number of
the individual animals to get the final sum.)

 

The bars go up in what kind of bar graph?

 

The bars go across from left to right in what kind of bar graph?

 

How many quarters are in the jar?

 

How many nickels are in the jar?

 

How many more pennies are there than nickels?

 

How many more quarters are there than dimes?

 

What is the total number of coins in the jar?

 

Websites to Check Out For Extra Practice

Click on this website to learn more about bar graphs. After reviewing the information, click on the Bar Graphs Quiz.
http://www.mcwdn.org/Graphs/BarGraph.html

Click on this website to study bar graphs further. After reviewing the information, click on practice and additional practice
at the bottom of the lesson to test your skills on bar graphs.
http://cstl.syr.edu/fipse/TabBar/RevBar/REVBAR.HTM

Click on this website. Then select the following titles for short games/activities authored by Sandi King which include
bar graphs and pictographs.
http://www.beaconlearningcenter.com/WebLessons/

All The Parts Subject(s): Mathematics (Grade 3 - Grade 5)
Description: Students learn the parts of a graph.

How It All Stacks Up Subject(s): Mathematics (Grade 3 - Grade 5)
Description: Students interpret and compare information using a bar graph.

I Am Special Subject(s): Mathematics (Kindergarten - Grade 2)
Description: Picture graphs are used in real world situations as students organize information, record data, and use
mathematical language to read and interpret the graphs.

Kids Have Pets Subject(s): Mathematics (Grade 3 - Grade 5)
Description: Students learn about the parts of a bar graph and how to collect information.

Kinds Of Graphs Subject(s): Mathematics (Grade 3 - Grade 5)
Description: Students learn about various types of graphs

Play Ball Subject(s): Mathematics (Grade 3 - Grade 5)
Description: Students collect data to put on a picture graph.

Push Ups Subject(s): Mathematics (Grade 3 - Grade 5)
Description: Students collect data to put on a line graph.

Click on this website. Select Bar Graph and Bar Graph Sorter. Make sure that you click on "What, Why and How" in
order to understand the purpose of the activity and how the activity works.
http://www.shodor.org/interactivate/elementary/#pro