Pictogram (Statistics)

Foundation

One picture = a fixed number; see which is the most at a glance.

For:Primary 1 Mathematics · Unit:Numbers & add/subtract · Lesson 19 of 21 in the learning path

After this lesson, you can:
  • Read the title, then the key.
  • Pictures x key value = real amount.
  • Most pictures = most popular.
數學Mathematics
Before this lesson you should know: Counting 1 to 100

1Summary 重點摘要

One picture = a fixed number; see which is the most at a glance.

2Vocabulary cards Vocabulary

P
Pictogram象形圖

A chart using pictures for amounts.

K
Key圖例

Tells what one picture stands for.

S
Symbol圖案

The picture used, like an apple or star.

M
Most最多

The row with the most pictures.

F
Fewest最少

The row with the fewest pictures.

R
Row一行

One horizontal line of pictures.

C
Count數一數

Count the pictures.

F
Favourite最受歡迎

The one most people like.

3Step by step Steps

  1. Step 1: Read the titleWhen looking at a picture graph, read the title first; it tells us what the chart is about and what is being counted. Example: the title 'Our class's favourite fruit' means each row is one kind of fruit and the pictures in the row count people. Why read the title first? The same chart means completely different things under different titles, for example counting people or counting votes. A common mistake is counting the pictures without reading the title, so we do not even know what is being surveyed, and the answer goes the wrong way.
  2. Step 2: Read the keyThe key tells how many things one picture stands for, and it is the door to the whole chart. Example: the key says 1 apple picture = 2 classmates; keep this rule in mind while counting, for 1 picture means 2 people and 2 pictures mean 4. Why have a key? When a row holds very many people, drawing one picture for each is troublesome, so one picture standing for 2 or 5 is handier. A common mistake is ignoring the key and taking 1 picture for 1 person, which cuts the count in half at once.
  3. Step 3: Count the picturesAfter reading the key, count the pictures row by row; point with a pencil, and write down the picture count of each row as you finish it. Example: the apple row has 4 pictures, so remember 4; the orange row has 3, remember 3, and only start calculating when every row is counted. Why one row at a time? Counting several rows together easily becomes confusing. A common mistake is counting so fast that half a picture is missed; some charts use half a picture for 1 person, so watch for halves while counting.
  4. Step 4: Use the keyThe number of pictures must be multiplied by the key to give the real number of people; even without times tables, repeated adding works just as well. Example: if one picture stands for 2 classmates and the apple row has 4 pictures, then 2 + 2 + 2 + 2 = 8, that is 8 classmates; the orange row with 3 pictures gives 2 + 2 + 2 = 6 people. Why convert like this? Because pictures are only symbols, and behind each symbol stand 2 people. A common mistake is taking the picture count as the people count and answering 4 instead of 8; always read the key before calculating.
  5. Step 5: Compare the rowsComparing the numbers worked out from each row answers questions about which is liked by the most people and which by the fewest. Example: 8 people like apples and 6 people like oranges; 8 is greater than 6, so apples are the most popular, and comparing the banana row's 4 people, 6 is greater than 4, so oranges come second. Compare the people numbers, not the picture counts. A common mistake is comparing only the lengths of the rows; when rows hold different numbers of pictures this leads the eye astray, and the people numbers are what decide the ranking.
  6. Step 6: Find the differenceTo find how many more people one row has than another, use subtraction: take the smaller number from the bigger one, and the answer is the difference in people. Example: 8 people like apples and 6 like oranges; 8 - 6 = 2, so 2 more people like apples than oranges. Why subtract the smaller from the bigger? A difference is never negative, and smaller from bigger would give a negative number, which is not learned yet in Primary One. A common mistake is adding the two numbers, 8 + 6 = 14, which is the total rather than the difference; read whether the question asks 'how many more' or 'how many in all' before writing.

4Diagrams Diagrams

象形圖:一個符號代表多少 Pictogram水果 Fruit數量 Number蘋果 apple香蕉 banana提子 grapes● = 1 個 each circle = 1 piece讀圖三步:看標題 → 看圖例 → 比較多少:蘋果最多,比香蕉多 2 個
Fig. 1: Pictogram

5Worked example Example

Example: the key says 1 banana picture = 2 people. The banana row has 3 pictures. How many people like bananas best?

  1. Read the key first: 1 banana picture stands for 2 people; it is the key to the count.
  2. Count the pictures next: the banana row has 3 pictures; count slowly and miss none.
  3. Add up: 2 + 2 + 2 = 6, so 3 pictures mean 6 people.
  4. Check: 3 pictures times 2 should be 6, the same as our adding, so nothing went wrong.
  5. Answer: 6 people like bananas best. Because the key says each picture stands for 2 people and the row has 3 pictures, 2 + 2 + 2 = 6; so 6 classmates like bananas, not 3.

6Common mistakes Mistakes

✗ Counting pictures without the key
✓ One picture may not mean 1 person; always read the key first
✗ Taking picture count as people
✓ 4 pictures x 2 per picture = 8 people, not 4
✗ Counting the wrong row
✓ Hold the row with your finger and count one by one
✗ Ignoring half a picture
✓ Half a picture means half the value; count it too

7Quick check Quick check

Q11 picture = 2 people; 4 pictures = ?

Q2First step when reading a pictogram?

Q3The row with most pictures means?

Q4Apples 8, oranges 6; difference?

Q53 pictures, 1 = 2 people. Total?

8Recap Recap

  • Read the title, then the key.
  • Pictures x key value = real amount.
  • Most pictures = most popular.
  • Find differences by subtracting.
  • Half a picture is half the value.

Other subjects in this grade

Same subject, other grades