Arithmetic Worksheets

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Pictographs

By Anisha Patel

A pictograph is a data table that uses pictures to display information. Some times, the pictures represent one item, while others sometimes represent multiple.

Why is this concept useful?

Pictographs help organize data into a clear and concise table. This makes it much easier to keep track of quantities, compare groups, and visualize the information.

Where does this concept fit into the curriculum?

1st-2nd grade

There are several applications of this concept:

  • To identify the number of something within a given time period.
  • To categorize specifics within a bigger bucket (i.e., coloring the dresses listed under each month differently to help keep track of which color was sold within that month)

How can we use the concept:

There are no specific formulas associated with pictographs. As one is solving, it is important to pay attention to the key, as each picture representation could be worth more (i.e multiples of 2, 5, 10, 50, 100, etc.). It is also important to be sure to read the title of the graph to identify what data is being analyzed.

Sample Math Problems

1.

Using the pictograph above, how many more black cars were sold in January than February?

Option 1:

Identify how many black cars were sold in January.

4 black cars are in the January category, each one is worth 50 cars, so 4 x 50 = 200 black cars sold in Jan.

Identify how many black cars were sold in February.

3 black cars are in the January category, each one is worth 50 cars, so 3 x 50 = 150 black cars sold in Feb.

Find the difference by subtracting.

200 - 150 = 50 more black cars were sold in Jan.

Option 2:

Count the number of black car pictures in Jan and Feb

4 black car pictures in Jan; 3 black car pictures in Feb

Find the difference between the two months

4 - 3 = 1 more black car picture in Jan than Feb

Multiply by 50

1 x 50 = 50 more black cars were sold in Jan.

2. Using the pictograph above, how many red cars were sold in all?

Option 1:

Count the total number of red cars

8 red cars throughout the data table

Multiply by 50

8 x 50 = 400 total red cars were sold.

Option 2:

Skip count by 50’s for each red car that you see in the pictograph.

50, 100, 150, 200, 250, 300, 350, 400 (counted 8 times because there are 8 red cars)

3. Using the pictograph above, which color car was sold more?

Count the number of black cars

11 black cars

Count the number of red cars

8 red cars

Compare the numbers

11 black cars > 8 red cars; so, more black cars were sold

4. Using the pictograph above, how many cars were sold in all over the three months?

Count the number of cars in the graph; multiply by 50.

19 x 50 = 950

OR…

10 x 50 = 500, 9 x 50 = 450, 500 + 450 = 950.


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Practice Math Problems

  1. How many more black dresses were sold at store 3 than red shirts in August?
  2. How many total green shirts were sold across the three stores?
  3. How many red shirts were sold at store 1 and 2?
  4. How many items were sold in all in the month of August?

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